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AStrutTie 사용설명서

AStrutTie 사용설명서 — 실제 화면 그림과 함께, 필요한 기능을 검색과 목차로 바로 찾을 수 있습니다.

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Introduction

AStrutTie User Manual cover banner with the subtitle "Strut-and-Tie Model Analysis/Design of Structural Concrete" and the HanGil logo.

AStrutTie is a strut-tie model analysis/design software for concrete members with disturbed stress region(s). It enables users to design corbel (bracket), abutment/pier footing, bridge pier coping (pier cap), frame corner, anchorage zone, deep beam, etc. The software supports U.S (ACI, ASHTO) and Europe (EuroCode2) Codes and Specifications.

Why Strut-Tie Model

A concrete member can be classified into B-region(s) and D-region(s). D-regions are parts of structure in which the strain distribution is highly nonlinear. Most design practices for D-regions are mostly based on empirical approaches. The strut-tie model approach promotes a better under-standing of load transfer mechanisms and structural behavior and it improves the designers' ability to handle unusual circumstances including D-regions.

Optimum Solution for Strut-Tie Model Approach

AStrutTie is a powerful and practical analysis/design software for concrete members with D-region(s). The most appropriate strut-tie models can be constructed by considering the principal stress flows and/or evolutionary structural optimization (ESO) results. A specialized solver capable of handling any types of internally/externally (in)determinate strut-tie models is associated. The strut-tie model provisions of ACI 318-14 (2014), AASHTO LRFD (2014), and EC2 (2004) are applied.

Efficient Structural Modelings for Strut-Tie Model Design

For fast and efficient strut-tie model designs, multirole templates are provided for corbel (bracket), abutment footing, pier footing, bridge pier coping (pier cap), frame corner, anchorage zones with inclined and straight tendons, and deep beams with concentrated and distributed loads. The shapes of concrete members and truss models can also be generated by importing .dxf files. Advanced element sets representing truss mechanism, truss and arch mechanism, and fan action are provided.

Systems for Automated Design Checks and Structural Design Report

AStrutTie provides various automated design checks regrading the conditions for rebar requirement and strength verification of struts and nodal zones. Visual verifications of strength conditions are possible, too. A structural design report is generated automatically, and design results are examined by previewing the report. The structural design report is printed as a *.rtf or *.xlsx file.

Problems in Strut-Tie Model Analysis/Design of Structural Concrete

  • Uncertainity in the construction of an appropriate strut-tie model due to lack of general and comprehensive specifications
  • Inefficiency in the construction of strut-tie models representing load transfer mechanisms for multiple load combinations
  • Enormous time and efforts for examining the suitability of a constructed strut-tie model that satisfies the strength condidtions of struts and nodes
  • This manual is subject to change without notice to improve the product. -

Welcome!

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AStrutTie is a strut-tie model analysis/design software for concrete members with disturbed…

AStrutTie is a strut-tie model analysis/design software for concrete members with disturbed stress region(s). It enables users to design corbel (bracket), abutment/pier footing, bridge pier coping (pier cap), frame corner, anchorage zone, deep beam, etc. The software supports U.S (ACI, ASHTO) and Europe (EuroCode2) Codes and Specifications.

Need Strut-Tie Model Analysis or Design?

How about using AStrutTie?

The strut-tie model approach has been recognized as an efficient methodology for the design of all types of structural concretes with D-regions, and accepted in design codes globally. However, the design of a structural concrete with the approach requires many iterative numerical structural analyses, numerous graphical calculations, enormous time and efforts, and designer’s subjective decisions in terms of the construction of an appropriate strut-tie model, determination of required areas of struts and ties, and verification of strength conditions of struts and nodal zones.

Hangil has developed a design software AStrutTie that enables the analysis and design of tructural concretes efficiently and professionally by overcoming the aforementioned limitations of the strut-tie model approach. In the software, all the numerical programs that are essential in the strut-tie model analysis or design of a structural concrete, including finite element analysis programs for the plane truss and solid problems with all kinds of boundary conditions, a program for evaluating the axial rigidities of struts and ties of statically determinate and indeterminate strut-tie models, a program for determining, and a program for the graphical verification of strut-tie model’s appropriateness by displaying various geometrical shapes of struts and nodal zones, are loaded. Great efficiency and convenience during the application of the strut-tie model approach may be provided by the various graphics environment-based functions of the software.

Features of AStrutTie

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Ease of Use

Ease of Use

  • Intelligent graphical user interfaces
  • Visualizations by using view option windows
  • U.S customary and metric(SI) units
  • Tabular and dialog inputs
  • 2-D on-screen graphics
  • Graphical display of applied loads, boundary conditions, and structural analysis results
  • Visual and tabular verifications of strength conditions of struts and nodes
  • 9 templates for typical D-regions and structural members
  • Design checks on user interfaces
  • Preview of structural design report
  • Report output as Word (*.rtf) or Excel (*.xlsx) file
  • Importation of *.dxf file for modeling of solid and truss structures
  • Verified (in)determinate strut-tie models for templates
  • Unconstrained solid and truss modelings for strut-tie model design

Support Items of Templates

Corbel (Bracket)

  • Automatic Determination of Location of STM Node sub jected to Applied Loads

Abutment/Pier Footing

  • Spread and Pile Footings bounded by Springs
  • Automatic Conversion of Applied Loads to Pile Reactions
  • Automatic Assignment of Soil/Pile Reactions to Spring Constants
  • Automatic Construction of STM according to Pile Locations and Number of Pile
  • Automatic Determination of Pile Locations by Inputing Number of Pile

Bridge Pier Coping (pier cap)

  • Automatic Construction of STM by Selecting Load Transfer Mechanism (Arch, Vertical Truss)
  • Automatic Construction of STM according to Number of Concentrated Load Point

Frame Corner

  • Four Separate Templates according to Moment Types and Corner Shapes
  • Four Basic Types of Strut-Tie Models recommended by EC2

Anchorage Zone

  • Automatic Construction of STM considering AASHTO LRFD's Bursting Force Location
  • Tendon Layout, and Number of Anchor Plate

Deep Beam with Concentrated Loads

  • Three Types of FIB Strut-Tie Models according to Shear Span-to-Effective Depth Ratio (Arch, Vertical Truss, Combined)
  • Automatic Construction of STM according to Number of Load Point, Symmetric/Asymmetric Load,

and Symmetric/Asymmetric Geometrical Shape

Continuous Beams with Distributed Loads

  • Automatic Construction of STM resulting in Vertical and Horizontal Reinforcing Bars
  • STM for Continuous Deep Beams

Included Design Codes

  • AASHTO LRFD (2014)
  • ACI 318-14 (2014)
  • EC 2 (2004)

Items for Design Checks

  • Strength Verification of Concrete Struts
  • Required Areas of Steel Ties (Flexural Rebars, Shear Rebars, Supplementary Rebars)
  • Strength Verification of Nodal Zones
  • Anchorage of Rebars at Critical Nodal Zones
  • Minimum Reinforcement Ratio for Serviceability

Convenient Editing Tools for Truss Structure

  • Versatile Editing Tools supplied by the Nine Templates
  • User-based General Editing Tools (cut, copy, paste, delete, find, divide, offset, move, stretch, mirror, rotate)
  • Object Osnap (End, Mid, Cross, Near, Perpendicular Point)
  • Guidelines and Grid Points
  • STM Constructed from Boundary Lines of Concrete Member
  • Automatic Check of Object Overlaps
  • Modeling of Structures by Dxf Import/Export

Functions of Truss Solver

  • Analysis of Internally/Externally Determinate/Indeterminate Truss Structures
  • Inclined, Horizontal, and Vertical Restraints by Spring, Hinge, and Roller
  • Determination of Required Areas and Forces of Struts and Ties by Iterative Technique
  • Safety Evaluation of Existing Structural Members by Assigning Steel Tie Areas
  • Calculation of Available Areas of Struts and Ties
  • Determination of Average Principal Tensile Strain of Reinforcing Bars crossing Perpendicularly to Concrete Strut by Iterative Technique
  • Automatic Transformation of Distributed Forces to Nodal Forces

Functions of Plane Solid Solver

  • Analysis of Plane Stress and Plane Strain Problems
  • Inclined, Horizontal, and Vertical Restraints by Spring, Hinge, and Roller
  • Optimized Mesh Generater according to Concrete Member Shape
  • Automatic Transformation of Distributed Forces to Nodal Forces
  • Calculation of Principal Stresses and Directions
  • Relative Lengths and Colors of Principal Stresses along Principal Directions
  • Implementation of Evolutionary Structural Optimization Technique

License and copyright

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AStrutTie, User Manual. Copyright © Hangil IT ®software.

AStrutTie, User Manual. Copyright © Hangil IT ®software.

The software AStrutTie, described in this users manual, is furnished under a license agreement.

The software may be used only in accordance with the terms of the license agreement. Information in this document is subject to change without notice.

License and copyright

If you do not agree with the terms of the following Disclaimer and License Agreement, and didn’t install & activate it, please send a e-mail to support@aroad.co.kr within 30 days. You can be full refund of software cost and sales tax.

Disclaimer

This software should be used only from experienced and licensed professional engineers. The software must be considered as a helping tool for the designer engineer, and can never replace the knowledge, the experience and the judgment of a professional engineer. The user of this software must understand that no matter how advanced and well checked this software is, he should carefully check the results and take responsibility of their use.

Copyright

This software is owned by Hangil IT Republic of Korea, and it is protected by Republic of Korea Copyright Laws and International Treaty Provisions. This software and the accompanying materials, must be treated like any other copyrighted material (e.g. book). It is allowed although to make one copy of the Software for backup or archive purposes. You may not copy and distribute the accompanying materials. It is strictly prohibited by law unauthorized reproduction or resale of this software product and the accompanying materials.

Software License

This is a legal agreement between the legal user of this software and Hangil IT Republic of Korea. By installing this software you agree to be bound by the terms of this agreement. If you do not agree to the terms of this agreement then do not install this software and return within 30 days after purchase, for a fully refund of your payment.

Scope of License

Each licensed copy of AStrutTie must be used either on a single computer, or installed on a single workstation used non-simultaneously by multiple people, but not both. This is not a concurrent use license.

You may not rent or lease this software. You may not modify, adapt, translate, reverse engineer, decompose, or disassemble the software. Any violation of this agreement terminates your right to use this software.

Liability Limitations

AStrutTie, in no event shall be liable for any damages whatsoever (including without limitations, damages for loss of business profits, business interruption, or any other loss) arising of the use of this software. Hangil IT Republic of Korea makes no warranties, either expressed or implied, as to the quality or performance of this software, that the results and calculations of this software will meet your requirements, or that the operation of this software will be error free.

This software is a helping tool to aid you in the design. The results of this software must be reviewed and interpreted from experienced licensed engineers, and by no means constitute an acceptable engineering design.

AStrutTie and related documentation are provided "AS IS" and without warranties as to performance or merchantability or any other warranties whether expressed or complied. Because of the various hardware and software environment into which this software may be put, no warranty of fitness for a particular purpose is offered. Under no circumstances shall Hangil IT Republic of Korea and its personal be liable for any direct or indirect, incidental special or consequential damages resulting from the use or inability to use of this software or related documentation, even if Hangil IT has been advised of the possibility of such damages.

This agreement shall be governed by Republic of Korea laws. If for any reason a court or competent jurisdiction finds any provision of this agreement, or portion thereof, to be unenforceable, that provision of the agreement shall be enforced to the maximum extend permissible so as to effect the intent of the parties, and the remainder of this agreement shall continue in full force effect. If this license is too restrictive with the laws of your country, do not use this software and return within 30 days after purchase, for a fully refund of your payment.

Hangil IT Republic of Koera,

e-mail: support@aroad.co.kr

Internet: ../english/

Trial Request

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Product Request and Software Download

Product Request and Software Download

www.aroad.co.kr/english/customer/astruttie_trial.asp

AStrutTie Request Page web form with E-mail, Company, Name, Tel, Nation and Product fields plus AStrutTie Request and Cancel buttons.
  • Write your E-mail account
  • Write your Company
  • Write your Name
  • Write your Tel.
  • Choose the Nation and Product
  • Click < AStrutTie Request > Button

We will sent download link and product key by e-mail within a day.

How to Order

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AStrutTie Online Shop - https://service.aroad.co.kr/shop/astruttie/buy.do

AStrutTie Online Shop - https://service.aroad.co.kr/shop/astruttie/buy.do

"Buy AStrutTie" online shop page with Standard and Professional tables listing Description, Unit Price, Qty and Total, optional Template, AASHTO Code and EuroCode 2 checkboxes, and Buy Now buttons.
  • Choose an AStrutTie family
  • Choose an Optional
  • Click Buy Now --> Go to Paypal
  • If you would like to pay by invoice, please send us an e-mail. ( support@aroad.co.kr )
PayPal checkout page for HanGil IT with cart total in USD, Pay with PayPal email and password fields, Log In button, and Pay with Debit or Credit Card option.
  • A payment information email will be sent when payment is complete.
HanGil IT purchase confirmation email titled "Thank you for your purchase" with Payment Details table listing AStrutTie Standard Template + EuroCode 2, Unit Price, Qty and Total, and a red Certification button below.
  • Click < Certification > Button
AStrutTie Request Page web form with E-mail, Company, Name, Tel and Nation fields, Product listed as AStrutTie Standard Template EuroCode 2 with Qty 3, and AStrutTie Request and Cancel buttons.
  • Write your Company
  • Write your Tel.
  • Choose the Nation
  • Click < AStrutTie Request > Button

We will sent download link and product key by e-mail within one business day.

2. Pricing

Ordering information page with Pricing, Service and Upgrade sections, a contact box for support@aroad.co.kr, and the HanGil IT address footer.
  • For more than 2 user licenses, please contact us for special price.
  • Schools, universities and institutions, please contact us for special price.

Install Process, Activation and Standard Uer account

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Install process of AStrutTie

Install process of AStrutTie

When you install AStrutTie, please must login the PC with administration authority.

A. Aftter unzip the AStrutTie Install file, Click Setup.exe .

AStrutTie splash screen titled "SPECIALIZED SOLUTION FOR STRUT-TIE MODEL ANALYSIS & DESIGN" with pier cap models and a strut-tie model, HanGil IT copyright notice.
AStrutTie-e InstallShield Wizard dialog preparing setup, showing "Extracting: AStrutTie-e.msi", a progress bar and a Cancel button.
  • Click the Next Button
AStrutTie-e InstallShield Wizard welcome screen with copyright warning and the Next button highlighted alongside Back and Cancel.
  • Select ' I accept the terms in the license agreement
  • Click the Next Button
AStrutTie-e InstallShield Wizard License Agreement step with "I accept the terms in the license agreement" selected and the Next button highlighted.
  • Write User Name and Orgnization
  • Click the Next Button
AStrutTie-e InstallShield Wizard "Customer Information" step with User Name and Organization fields filled in and the Next button highlighted.
  • Click the Next Button
AStrutTie-e InstallShield Wizard "Destination Folder" step showing the install path c:\Program Files (x86)\HangilIT\AStrutTie-e\ with Change, Back, Next and Cancel buttons, Next highlighted.
  • Select Complete or Custom
  • Click the Next Button
AStrutTie-e InstallShield Wizard Setup Type page with Complete selected over Custom, and the Next button highlighted.
  • Click the Install Button
AStrutTie-e InstallShield Wizard "Ready to Install the Program" step with the Install button highlighted beside Back and Cancel.
AStrutTie-e InstallShield Wizard "Installing AStrutTie-e" step showing status "Copying new files" with a progress bar and only Cancel enabled.
  • Required selection 'Lock Driver Install'
  • Click the Finsh Button, Lock Driver will Install.
AStrutTie-e InstallShield Wizard Completed screen with the 'Lock Driver Install' checkbox ticked and the Finish button highlighted.
AStrutTie-e InstallShield Wizard Completed screen with a highlighted 'Sentinel Run-time Environment Install... Please wait ....' message, 'Lock Driver Install' checked, and the Finish button.
  • Click the OK Button, Install is end.
AStrutTie-e InstallShield Wizard Completed screen with a Sentinel Run-time Environment dialog reading "Operation successfully completed" and the OK button highlighted, plus Lock Driver Install checked and Finish button

2. Activation of AStrutTie

When you activate AStrutTie, please must keep online internet.

If you use firewall, please add it to your firewall.

  • activation.aroad.co.kr
  • service.aroad.co.kr
  • www.aroad.co.kr
  • When run AStrutTie in first time, You must do Software Lock Activation and Cetification

1. input Product Key ( received by E-mail )

2. Click < Product activation key issue>

Software Lock Activation Dialog with LOCK LOGIN FAILED log and an Online Certification section; arrows mark the Product Key field and the Product activation Key issue button.
  • After Software Lock Activation, Run AStrutTie. Install is done.

3. If you use windows standard user account

Please try according to the process below.

1. When you install AStrutTie, please must login the PC with administration authority.

2. Go to Control Panel > Change User Account Control settings > Never notify

< OK > Click

Windows Control Panel System and Security page with "Change User Account Control settings" under Action Center highlighted and marked 1.
User Account Control Settings dialog with the slider dragged down to "Never notify" (marked 2) and OK highlighted.

Product Classification and System Requirement

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Product Classification

Product Classification

Classification

Standard

Professional

Trial

(30 days free)

Stress Flow Analysis

O

O

O

Determinate Truss Analysis

O

O

O

Indeterminate Truss Analysis

O

O

O

ESO (Evolutionary Structural Optimization)

O

O

Structure Template (Optional)

O

O

O

Structure Template Edit (Optional)

O

O

O

Structure Model dxf import, export

O

O

Truss advance elements

O

O

Determinate of Required Area of Strut

O

O

O

Design Review

O

O

O

Metric (SI) Unit

O

O

O

U.S Customary Unit (Scheduled for 2017)

O

O

ACI 318M Code

O

O

O

AASHTO-LRFD Spec. (Optional)

O

O

O

Eurocode 2 (Optional)

O

O

O

Graphical Display of Structure Analysis Results

O

O

O

Report Preview

O

O

O

ACI Report File Save

O

O

AASHTO Report File Save (Optional)

O

O

Eurocode 2 Report File Save (Optional)

O

O

2. System Requirement

Software

Microsoft Word2007 or higher

Microsoft Excel2007 or higher

Network

Internet Online

Processor

1GHz 32bit(x86) or higher

Operating System

Microsotf Window7(32, 64bit) English Version

Memory

1GB recommended

Disk Space

200MB

Input Device

Mouse, Keyboard

Precautions

1.Need Installation of Microsoft Excel for *.xlsx File Output

2.Need Internet Online for Activation of AStrutTie

3.Certify Perfect Activation of AStrutTie in Microsoft Window7 for English

(32, 64bit - Some of AStrutTie functions may not work well on other Operating System.)

Quick Start for Strut and tie Model Design

AStrutTie User Manual banner titled "Quick Start for Strut and tie Model Design" with the HanGil logo on a blue background.

Design Steps Using Strut-Tie Model

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In the Beginning Mode, the design conditions of concrete member including the geometrical…

Workflow chart: Beginning Mode sets plane concrete geometry, load, boundary and material conditions; Modeling Mode builds the strut-tie model, verifies code conditions, and prints report and drawings.

In the Beginning Mode, the design conditions of concrete member including the geometrical shape, load and boundary conditions, material properties, and load combinations are fixed.

The design conditions are used in the Modeling Mode and design steps of strut-tie model method that require the finite element analysis of unreinforced plane concrete and truss structures.

Modeling of Member Geometry

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The geometrical shape of concrete member is constructed in the Beginning Mode. The geometrical…

The geometrical shape of concrete member is constructed in the Beginning Mode. The geometrical shape is constructed by 1) direct drawing, 2) importing a . dxf file, 3) using a Template. For direct drawing, the functions Add Nodes and Add Elements are used. The boundary lines and truss model of the concrete member are generated by importing a . dxf file. The geometrical shape, evolutionary structural optimization, stress flow, and truss model can be generated automatically by using a Template.

1. Importation of .dxf file

The geometrical shape of concrete member and truss model generated as .dxf files by using drawing tools including Autocad can be imported by clicking FILE-Import. In generating a .dxf file, all drawings must be constructed as lines, and the boundary of concrete member and truss model must be named as ‘ Out ’ and ‘ Truss ’ respectively.

DXF line drawing of a corner joint with the truss model lines layered in red labeled "Truss" and the concrete member outline in green labeled "Out".
AStrutTie FILE menu with Import highlighted and an Open dialog selecting corner_layer.dxf with DXF (*.dxf) file type

By importing a .dxf file, the boundary of concrete member and truss model are constructed automatically as follows.

AStrutTie main window in Beginning Mode showing an imported L-shaped outer boundary with 9 nodes and 9 elements, and the Work tree listing Shape of Structure, Outer Boundary, Properties and Static Loads.
AStrutTie main window showing an L-shaped concrete member outline with a green truss model imported from a DXF file, and the Work tree listing Outer Boundary, Node: 8, Element: 8 and Load Combination LC01.

2. Use of Template

The geometrical shape of concrete member and truss model are generated by clicking FILE-New From Template and selecting one of the provided templates shown below . The basic information on the geometrical shape including thickness, width, and height must be input.

AStrutTie STM Model Template dialog showing a 3x3 grid of concrete member type thumbnails (dapped end, pile cap, deep beam, corbel, anchorage zone) with a Close button.
AStrutTie's Template Corner dialog on the Dimension tab, with Dir set to Upper Left, Type Closed Type1, and H1, H2, Hh, Bh inputs beside a labeled corner section diagram.
AStrutTie main window showing the Work tree (Shape of Structure, Outer Boundary, Area1 T=1.000, Material, Node 9, Element 9, Static Loads) beside an L-shaped concrete member drawn in the X-Z plane in Beginning Mode.
AStrutTie window with an L-shaped member outline and generated 8-node truss model, plus the Work tree showing Shape of Structure, Structure, Static Loads and Load Combination.

3. Direct Drawing

An example for constructing the boundary of concrete member is illustrated. The boundary can be constructed by using the functions Add Nodes or Add Elements. By clicking DESIGN-Add Elements, the coordinates of end points of lines are input in Edit Coordination (Dialog) as follows.

1.1 , 1.1 enter

1.9 , 1.1 enter

1.9 , 1.5 enter

1.9 , 1.9 enter

0 , 1.9 enter

0 , 0 enter

0.4 , 0 enter

0.8 , 0 enter

0.8 , 0.8 enter

1.1 , `1.1 enter

AStrutTie main window with the Add Elements tool tooltip shown and a drawn outer boundary outline of green line elements in the model view, with the Work tree listing Node : 9 and Element : 8.
AStrutTie main window drawing an L-shaped outer boundary in the X-Z plane, with the Work tree (Shape of Structure, Properties, Structure) at left and an Edit Coordination input box at the bottom.

Once the boundary is constructed, the boundary must be recognized as the boundary of plane concrete member by clicking DESIGN-Create Outer Boundary.

AStrutTie main window showing a closed outer boundary polygon with green nodes in the X-Z plane, and the Work tree listing Outer Boundary, Area, Node: 9, Element: 9 and Load01.
AStrutTie window with the DESIGN menu open and Create Outer Boundary highlighted, alongside Create Inner Boundaries and Create Area, over a drawn L-shaped boundary polyline with node markers.

By clicking DESIGN-Create Area, the area surrounded by the outer boundary is set to designate the information of plane concrete member including member thickness, compressive strength of concrete, and yield strength of reinforcing bars.

AStrutTie DESIGN menu open with Create Area highlighted, over a closed outer boundary polygon drawn in the model view.
AStrutTie window with the gray-filled area inside the magenta outer boundary and the Work tree showing Area 1 (T=1.000), Area2_CONC, Area2_RCONC, Area2_STEEL, Node: 9, Element: 9.

Application of Loads

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Two methods for applying loads are provided in the program.

Two methods for applying loads are provided in the program.

1. Node Static Loads

External loads are assigned by clicking ASSIGN-Static Load. After selecting nodes and elements, the following figure appears.

ASSIGN menu opened with Static Load highlighted, while two selected nodes on the right edge of the gray model region are marked with red boxes and arrows.

After clicking Static Load, the Node Static Loads (Dialog) appears by clicking the right button of mouse. And then, loads are assigned by clicking Add button.

Node Static Loads dialog with Load Case Name "M", X Direction Load -100, Z Direction Load 0, and Add, Delete, OK, Cancel buttons, over a model with two selected nodes highlighted.

2. Element Static Loads

After selecting nodes and elements, the following figure appears.

ASSIGN menu opened with Static Load highlighted, while two selected nodes on the model edge are shown in red within selection boxes.

After clicking Static Load, the Element Static Loads (Dialog) appears by clicking the right button of mouse when the color of node changes from green to red. And then, loads are assigned by clicking Add button.

Element Static Loads dialog over the model with Load Case Name, Direction, Load Type set to Trapezoidal, Distance from End-I as Relative, and Add/Delete/OK/Cancel buttons, with a selected node highlighted in red.

And then, the direction of load and load type must be selected. Three load types (point load, uniform load, and trapezoidal load) are available. An example for inputting trapezoidal load is shown below.

Element Static Loads dialog with Load Case Name Load01, T1, Direction GlobalX, Load Type set to Trapezoidal, and a distance/load table with relative distance from End-I.
AStrutTie main window with Work tree (Outer Boundary, Area2, Materials, Node: 9, Element: 9, Load01) and an L-shaped concrete region showing a trapezoidal load with arrows labeled 800.0 on its top-right edge.

By repeating the inputting, multiple trapezoidal loads can be input as follows.

AStrutTie main window with an L-shaped area region showing four trapezoidal loads (T1-T4) of 800.0 applied on different edges, and the Work tree listing Load01 with T1 through T4.

The material properties can be altered in Area Properties shown below.

AStrutTie main window with the Work tree showing Outer Boundary, Area 1: Area2 (T=1.000) selected, Material: 3 (Area2_CONC, Area2_RCONC, Area2_STEEL), Node: 9, Element: 9, and an L-shaped area drawn in the model view.
Area Properties dialog with the Area1 tab listing Area Name, Thickness, Compressive and Tensile Strength of Concrete, and Elastic Modulus with Value and Unit columns.

Structural Analysis for ESO & Stress Flow

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The window transforms to the Modeling Mode for numerical structural analysis after imposing…

The window transforms to the Modeling Mode for numerical structural analysis after imposing loads on a concrete member. The Modeling Mode consists of ESO, Stress Flow, and Truss. The finite element model of a concrete member for ESO and Stress Flow analyses is constructed by using a mesh generator. The mesh size is setup by clicking DEFINE-Project Information.

Followings are the figures that illustrate the finite element modeling of a concrete member. After clicking Beginning Mode and selecting Modeling Mode-Stress Flow, DEFINE-Project Information (Dialog) needs to be activated to alter the mesh size. The loads inserted by clicking Static Load are switched to nodal forces automatically.

AStrutTie main window with the Work tree (Outer Boundary, Area, Material, Node: 9, Element: 9, Load01 with T1-T4) and an L-shaped concrete member outline in the model view, Beginning Mode button highlighted.
AStrutTie main window with the DEFINE menu open showing Project Information, General Properties, Area Properties, Strut Types, Tie Types, Static Load and Load Combinations, over a meshed L-shaped concrete member.
Project Information dialog with Project Description fields (Title, Designer, Date, Note), Analysis checkboxes for ESO, Stress Flow and Truss Model Analysis, and Properties for load combination number and mesh sizes.
AStrutTie modeling window showing a meshed L-shaped concrete member with distributed loads and restraints, the Work tree listing Load Combination LC01, and the View Options panel with Mesh, Restraint and Load set On.

If the mesh size is changed, the boundary conditions must be updated. For this, the View Options Window must be activated and Node must be On, as shown below.

AStrutTie VIEW menu opened with Work, Group, Report, Output, View Options, Zoom In/Out, Zoom Extend and Pan, over an L-shaped meshed model in Modeling Mode
AStrutTie modeling window showing a meshed L-shaped model with nodes displayed, and the View Options panel with Node set to On under Model.

After selecting the nodes on which restraints must be imposed, the boundary conditions are setup by clicking ASSIGN-Restraints.

AStrutTie main window showing a meshed L-shaped corbel model with restraints applied along the right edge, the Work tree listing Node: 827 and Mesh: 760, and the View Options panel with Stress Flow On.
Assign Restraints dialog with Translation 1-3 and Rotation about 1-3 checkboxes, Translation 3 checked, Roller Angle field and Fast Restraints icons.

An example is shown below.

AStrutTie main window with the Run Analysis tooltip on the toolbar, a meshed L-shaped corbel model with supports and loads, model tree (Node 827, Mesh 760), and View Options panel showing Stress Flow On.

And then, by clicking ANALYSIS-Run Analysis the finite element linear elastic analysis is conducted for checking the compressive principal stress trajectories. The left figure shown below is an example showing the stress trajectories. In the same way, by clicking ESO (instead of Stress Flow) and completing the necessary modifications and inputs in DEFINE-Project Information (Dialog) and ASSIGN-Restraints, the finite element analyses are conducted for checking the approximate load paths by the evolutionary structural optimization technique. The right figure shown below is an example showing the results of the optimization.

AStrutTie Stress Flow result of an L-shaped corbel model showing principal stress trajectory arrows, with the View Options panel where Stress Flow is On and Arrow Head Min Size is being edited.
AStrutTie window with an L-shaped corner model shown in ESO color contour, the Work tree listing Phase steps, and the View Options panel for Mesh, Restraint and ESO/Nodal Zone.

More results of the optimization are shown below.

Contour plot of an L-shaped optimized structure with red stress concentrations at the re-entrant corner, roller supports along the right edge and pinned supports along the bottom.
ESO result for an L-shaped corner: white removed-element voids, rainbow stress contours with red zones along the diagonal chamfer, supports at bottom and rollers at right edge.
Evolutionary structural optimization result for an L-shaped (knee) region, with removed elements shown white and a green-to-red high-stress band tracing the diagonal load path between the supported edges.
Evolutionary structural optimization result for a corner joint, showing the retained material forming diagonal strut-and-tie paths in a rainbow stress color map with supports at the base and right edge.
Color-contoured mesh of an L-shaped corner after ESO, with removed elements forming diagonal strut-and-tie paths, rollers on the right edge and pinned supports at the bottom.
Color stress-flow contour on a finite element mesh of an L-shaped corner region, with high-stress red bands forming a diagonal strut across the reentrant corner and pin supports marked along the bottom and right edges.
Stress-flow contour plot on an L-shaped corner mesh, with red diagonal high-stress bands forming a strut-and-tie pattern, plus edge roller and bottom pinned supports.
Topology optimization result for an L-shaped panel, with colored stress bands tracing diagonal strut and tie paths, roller supports along the right edge and fixed supports at the bottom.

Modeling and Analysis of Truss Model

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After the finite element analyses for the stress trajectories and evolutionary structural…

After the finite element analyses for the stress trajectories and evolutionary structural optimization, Truss Model need to be selected. The boundary elements of truss model are generated based on the outer boundary of concrete member by clicking DESIGN-Create Truss From Boundary (Dialog). In the dialog, the distance between the boundary of concrete member and the boundary elements of truss model is set.

AStrutTie window with the DESIGN menu open, showing Add Nodes, Add Elements, Grid Points, Guidelines and the highlighted Create Truss From Boundary command over an L-shaped member outline.
"Create truss from boundary" dialog with Offset Boundary note, Offset field set to 0.100 m, and "Apply to all truss model" checked, with OK and Cancel buttons.

The boundary elements of truss model can be edited depending on designers ’ decision. To make the editing easier, the functions Guide Line and Grid are provided. The orthogonal guide lines are available by clicking F8 key. An example to generate the boundary elements of truss model by clicking Dynamic Guide Line is shown below.

AStrutTie main window with the "Add Dynamic Guideline" toolbar tooltip, the model tree showing Node : 9 and Element : 9, and an L-shaped region with green boundary truss elements in the X-Z plane.
AStrutTie modeling window showing an L-shaped member outline with green outer boundary truss elements and an orthogonal guide line, with the Work tree listing Outer Boundary, Node : 9 and Element : 9.
AStrutTie modeling window showing an L-shaped outer boundary in black with green truss boundary elements and nodes, orthogonal guide lines, and the Work tree listing Outer Boundary, Node: 9, Element: 9.

Based on the guidelines and by using Add Elements, additional elements of truss model are generated as shown below.

AStrutTie Modeling Mode window with an L-shaped boundary and a green truss model of 9 nodes and 9 elements, work tree at left and Edit Coordination box at bottom.
AStrutTie Modeling Mode window showing the completed truss model of green elements and nodes drawn over an L-shaped concrete outline, with the Work tree listing Node: 11 and Element: 14.

The unnecessary elements of truss model are deleted by using Del Key or Delete functions after selecting the elements.

AStrutTie EDIT menu opened with Delete highlighted, over an L-shaped model showing a green strut-and-tie truss with node markers.
AStrutTie main window with the Work tree showing Node : 8 and Element : 8, a green strut-tie truss drawn on the L-shaped member outline, and the Delete Dynamic Guideline tooltip on the toolbar.

The external loads assigned in the Beginning Mode are converted to the loads acting on the generated truss model by clicking ASSIGN-Boundary Load To Truss Load. The loads on truss model can be input again by designers ’ decision.

AStrutTie Truss mode showing an L-shaped region with a green 8-node, 8-element truss and converted load arrows at the upper right, beside the Work tree.
AStrutTie ASSIGN menu opened with 'Boundary Load To Truss Load' highlighted, showing Bearing Plates, Restraints, Spring, Node Types and Static Load items over a green truss model
AStrutTie Modeling Mode window with the Restraints toolbar tooltip, showing a truss model in an L-shaped boundary with 160.0 loads and a Work tree listing Boundary Condition and Static Loads.
"Convert Boundary Load To Truss Load" dialog with Load Conversion selectors for load case and T1, total 160.00, and a table listing Node, Value and Mark columns.

After selecting the nodes on which restraints must be imposed, the boundary conditions are setup by clicking ASSIGN-Restraints. The structural analysis on the truss model is conducted by clicking ANALYSIS-Run Analysis. After the analysis, the results including element forces are shown on the truss model.

AStrutTie modeling window with the Restraints toolbar tooltip active, showing an L-shaped region with a green strut-and-tie truss, 160.0 loads, and the Work tree boundary condition items.
Assign Restraints dialog with checkboxes for Translation 1-3 and Rotation about 1-3, Translation 3 checked, a Roller Angle field set to 0, and four Fast Restraints buttons above OK and Cancel.
AStrutTie Modeling Mode window with an L-shaped truss model showing element forces, supports and 800.0 dimensions, beside the Work tree of Structure, Restraints and Static Loads.

The compressive principal stress flows or the optimization results obtained earlier can be overlapped on the truss model by activating VIEW-View Options, as shown below.

AStrutTie window showing an L-shaped model with the truss model overlaid on colored principal stress flow lines, and the View Options panel at right with Stress Flow set to On.
AStrutTie window showing a truss model with strut and tie force values overlaid on a colored ESO optimization contour, with ESO/Nodal Zone set to On in the View Options panel.

Analysis Results and Structural Design Report

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By clicking Design Review after the structural analysis of the truss model, the information on…

By clicking Design Review after the structural analysis of the truss model, the information on the cross-sectional forces of struts and ties, required and provided reinforcements, minimum reinforcements, and strength verifications of struts and nodal zones is displayed in Truss Design Review window, as shown below.

Truss Design Review dialog on the Main Rebar Tie tab listing Tie No., Type, Fu(kN), \u03b81, \u03b82, Rebars, As,req and As,used with O.K and N.G notes, over the corner strut-and-tie model view.

The strength conditions of concrete struts can be verified visually by executing Max. Strut/Tie Width and Req. Strut/Tie Width functions in View Options Window. In the figures shown below, the (grey-colored) maximum widths of tension and compression elements are shown in the left, and the maximum and (yellow-colored) required widths of the elements are shown in the right.

Strut-and-tie model with grey maximum strut/tie widths and member forces beside the View Options window with Max. Strut/Tie Width set to On.
Strut-and-tie model with member forces and required strut/tie widths displayed alongside the View Options panel, where Req. Strut/Tie Width is set On under Effective Width/Zone.

The structural design report can be previewed by double clicking Report article or clicking Preview while the right button of mouse is clicked. The items that must be previewed or printed can be selected , as shown below.

Preview Report File dialog, Truss tab with checked items Modeling, Load, Apply strut/tie, Section force strut/tie, and Preview button.
AStrutTie report preview with two pages showing a nodal zone strength table and summary strut-tie diagrams, beside the Report tab listing Save as RTF file and Save as Excel file.

The structural design report is saved (or printed) as a RTF or an Excel file by double clicking Save as RTF file or Save as Excel file in Report Tab. The report is also saved by clicking Print while the right button of mouse is clicked. Note that the report can be saved as an Excel file only if the Microsoft Excel program is installed in the computer.

Save RTF File dialog on the Truss tab with checked items Modeling, Load, Apply strut/tie, plus Default, Check All, Uncheck All and Print buttons.

General Aspects

Blue banner reading "AStrutTie User Manual" with the chapter title "General Aspects" and the HanGil logo.

Outlines

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The AstrutTie consists of 7 windows as shown below.

The AstrutTie consists of 7 windows as shown below.

AStrutTie main window with seven numbered areas circled: menu and toolbar (1), model view with strut-tie truss (2), Work tree (3), View Options panel (4), Output window (5), tab bar (6), and status bar (7).

(1) Pull-down Menu & Shortcut Icon Menu Window

Most of the AStrutTie functions can be called in the pull-down menu window. Quick modeling of a concrete member is possible by using shortcut menus of the shortcut icon menu window.

(2) Modeling and Result Display Window

In this window, the finite element models for plane solid and truss structures and their analysis results including compressive principal stress flows, evolutionary structural optimization, and cross-sectional forces of struts and ties are visualized. The structural design report (html, Excel) can be previewed and printed in Report tab.

(3) Tree Menu Window

All types of information on the geometry of concrete member, element and node numbers, boundary and load conditions, and element and node groups are presented in this window. The list of structural design report is also shown.

(4) View Options Window

The view options regarding the finite element models of plane solid and truss structures, structural analysis results, and available widths of strut-tie model elements can be set.

(5) Output Display Window

In this window, the finite element analysis results of plane solid and strut-tie model is displaced in real time.

(6) Tree Menu Tab Window

The transformations of tree menus (Work, Group, Report) are possible.

(7) Design Code & Unit Selection Window

The design code and unit employed in the strut-tie model design are selected in this window.

Pull-down Menu

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This menu includes all kinds of functions for conducting the finite element analysis of plane…

This menu includes all kinds of functions for conducting the finite element analysis of plane solid and plane truss structures required for strut-tie model design of structural members. Detailed functions can be activated by the items FILE, EDIT, VIEW, SELECT, DESIGN, DEFINE, ANALYSIS, and HELP. Each item is explained later.

AStrutTie menu bar with the DEFINE menu open, listing Project Information, General Properties, Area Properties, Strut Types, Tie Types, Node Types, Static Load, and Load Combinations.

Shortcut Menu

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These icon-type shortcut menus are used to activate main functions quickly. When the mouse is…

AStrutTie window with the menu bar and icon toolbars outlined in red, above the load case, Truss selector, and Beginning Mode tabs.

These icon-type shortcut menus are used to activate main functions quickly. When the mouse is close to an icon, a popup message appears.

Toolbar with the cursor hovering over an icon, showing the "New From Templete" popup tooltip below the menu bar (FILE, EDIT, VIEW, SELECT, DESIGN, DEFINE, ASSIGN).

When the right button of mouse is clicked on a shortcut menu, the selection boxes show up.

Right-click toolbar list with checked entries: Standard, Edit, Define, Select, Analysis, View, Design, Assign, Select Model.

The shortcut icons can be placed separately at other locations. The shortcut menu window can also be lined vertically, as

shown below.

The program's floating toolbars stacked vertically: Standard, Edit, Define, Select, Analysis, View, Design, and Assign, each with its own row of icon buttons.
AStrutTie main window with the right-hand shortcut toolbar highlighted in red, beside the Work tree (Model Information, Shape of Structure, Properties, Structure, Static Loads) and the empty X-Z Plane view.

Model Selection Menu

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For a given load combination, a two-dimensional finite element model for evolutionary…

For a given load combination, a two-dimensional finite element model for evolutionary structural optimization, compressive principal stress flows, truss structure, or nodal zone can be selected in the Modeling Mode. This menu does not function in the Beginning Mode.

Select Model toolbar with an open load combination list showing LC01 : 1.00DC, LC02 : 1.30DC and LC03 : 0.90DC, a Truss dropdown, and Modeling Mode, Optimized Area, Design Review and Design Mode buttons.
Select Model toolbar with load combination LC01 : 1.00DC and an open dropdown listing ESO, Stress Flow, and Truss, plus Modeling Mode, Optimized Area, Design Review, and Design Mode buttons.
Select Model toolbar with load combination LC01 : 1.00D and Truss dropdowns, and Beginning Mode active beside greyed Optimized Area, Design Review, and Design Mode buttons.
Select Model toolbar with load combination LC01 : 1.00DC and Truss dropdowns, plus Modeling Mode, Optimized Area, Design Review and Design Mode buttons.

Optimized Area / Fixed Area

The cross-sectional areas of struts and ties in a strut-tie model are determined by a simple optimization technique when the Optimized Area is selected. When the Fixed Area is picked, the cross-sectional areas of struts and ties must be assigned.

Select Model toolbar with load case LC01 : 1.00DC and Truss dropdowns, Modeling Mode buttons Optimized Area, Design Review and Design Mode, showing the tooltip "Truss analysis with optimized or fixed areas".

Design Review

After the structural analysis of constructed strut-tie model, the design results regarding the strength verification of struts, ties, and nodal zones can be reviewed.

Select Model toolbar with load case LC01 : 1.00DC, Truss list, Modeling Mode, and Optimized Area, Design Review, Design Mode buttons plus tooltip "Design check by truss analysis result".

Design Mode/Analysis Mode

A concrete member is designed by using the strut-tie model method when the Design Mode is clicked. On the other hand, the ultimate strength and behavior of a concrete member are evaluated by the strut-tie model method when the Analysis Mode is selected. In the Analysis Mode, the amount of reinforcement placed in a concrete member must be transformed to the cross-sectional areas of steel ties of strut-tie model.

Select Model toolbar with load case LC01 : 1.00DC and Truss dropdowns, Modeling Mode label, and Optimized Area, Design Review, Design Mode buttons with a tooltip reading 'Analysis or design using strut-tie model'.

Modeling View

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The geometrical shape of concrete member, finite element models of plane solid and truss…

The geometrical shape of concrete member, finite element models of plane solid and truss structures, and structural analysis and design results are visualized. The structural design report can be previewed in Report tab.

1. Beginning Mode

AStrutTie Beginning Mode window with the Work tree showing Shape of Structure, Materials and Structure nodes, and a corbel-shaped area model with a point load in the X-Z plane.

2. Modeling Mode - ESO

AStrutTie Modeling Mode in ESO, with Work tree showing Phase steps 01-12 and load combination LC01, and a color-coded element mesh of the loaded corbel model.

When the ESO analysis is completed, the intermediate steps appear in Menu Tree-Phase. If one of the steps is clicked, the analysis results are visualized in Display Window.

3. Modeling Mode - Stress Flow

AStrutTie window in Modeling Mode with "Stress Flow" selected, showing colored principal stress vectors on the meshed corbel model and the work tree with Node, Mesh and Restraints.

4. Modeling Mode - Truss

AStrutTie Truss modeling view showing green strut zones, blue tie members with force labels, and the Work tree listing Nodes, Elements, Boundary Conditions and Static Loads.

5. Report

Report tab with two-page preview: strut-tie sketches at left, node strength tables (Fu, Wreq, Wprov, O.K) at right, and a tree listing ESO, StressFlow, Truss, NODAL ZONE.

Finite elements and nodes are generated for constructing the finite element model of a concrete member. The intermediate finite element model can be examined by designating the Outer Boundary and Inner Boundary and by applying Area. Some of the notations in the model can (dis)appear by altering the view options in the View Options Window.

The finite elements and nodes captured by mouse can be edited by coping, deleting, and moving. The information on the captured elements and nodes can also be assigned.

Multiple finite elements and nodes can be selected by dragging the mouse or using [shift + click], as shown below.

Comparison of window selection (solid box, drag right-down) selecting only fully enclosed nodes versus crossing selection (dashed box, drag left) also selecting intersected elements and their nodes.

Tree Menu

Blue section banner reading "AStrutTie User Manual" with the chapter title "Tree Menu" and the HanGil logo.
Tree Menu

Work

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The operating items related to the mode and modeling are displayed in this menu.

The operating items related to the mode and modeling are displayed in this menu.

Work tree panel showing Model Information, Shape of Structure with Outer Boundary, Inner Boundary and Area, Properties materials, Structure, and Static Loads, with Work, Group, Report tabs.

Beginning Mode

Work tree panel showing Model Information, Shape of Structure, Structure with Node, Mesh and Boundary Condition, Static Loads, Load Combination and Phase steps, with Work, Group, Report tabs.
Work tree panel showing Model Information, Shape of Structure with outer and inner boundaries, Structure with Node, Mesh, Boundary Condition, Static Loads and Load Combination LC01.

Modeling Mode - ESO Modeling Mode - Stress Flow

Work tree panel showing Model Information, Shape of Structure, Structure with Node: 8 and Element: 8, Boundary Condition, Static Loads, and Load Combination LC01.

Modeling Mode - Truss

Model Information

The project name is displayed. When the Edit Properties is activated in the ConText menu by double clicking the mouse or clicking the right button of the mouse, the same items as those in the DEFINE-Project Information can be defined.

Structural Shape

The Outer Boundary, Inner Boundary, and Area Type are displayed. In the ConText menu showed up by clicking the right button of the mouse, items can be selected or deselected by the Select/Deselect. In the case of Area Type, when the Edit Properties is activated in the ConText menu by double clicking the mouse or clicking the right button of the mouse, the same items as those in the DEFINE-Area Properties can be defined.

Finite Element Model

Information regarding the number of nodes, number of elements, boundary conditions, and bearing plates is displayed. In the ConText menu showed up by clicking the right button of the mouse, items can be selected or deselected by the Select/Deselect. When the Edit Properties is activated in the ConText menu by double clicking the mouse or clicking the right button of the mouse, the same items as.

Material Properties

The material properties assigned in the Area Type are displayed.

Static Loads

The load types are displayed. If a certain load type is clicked, the load of the load type imposed on a finite element model is showed up in the Modeling and Result Display Window.

Load Combinations

The load combinations are displayed. If a certain load combination is clicked, the loads of the load combination implemented with load factors are showed up in the Modeling and Result Display Window.

Loads in Beginning Mode

The load types assigned in the Modeling Mode-Truss are displayed. If a certain load type is selected, the loads of the load type are showed up in the Modeling and Result Display Window.

Analysis Phase

The finite element analysis steps illustrating the elimination percentage of finite elements in ESO are displayed. If a certain step is clicked, the optimization results of the step are showed up in the Modeling and Result Display Window.

Tree Menu

Group

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The information regarding the grouping of nodes and elements are displayed by clicking Group in…

The information regarding the grouping of nodes and elements are displayed by clicking Group in the Tree Menu Tab Window. The nodes or elements grouped in the SELECT Menu can be selected and edited. The nodes and/or elements can be added or deleted by reselecting them in the Modeling and Result Display Window.

Tree Menu

Report

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The structural design report can be previewed by clicking the Report in the Tree Menu Tab…

The structural design report can be previewed by clicking the Report in the Tree Menu Tab Window. The printing options can be selected in the ANALYSIS-Analysis & Printing Options.

AStrutTie report preview with the Report tree (Load Combination items ESO, StressFlow, Truss, NODAL ZONE) at left and a Truss page showing the model diagram, nodal coordinate, member and restraint tables.

Detail of Pull-down Menu

Blue banner header reading "AStrutTie User Manual" with the section title "Detail of Pull-down Menu" and the HanGil logo

FILE

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New

Open FILE pull-down menu on the Menu Bar showing New, New From Templete, Open, Save, Save As, Import, Export, Print, Print Preview, Print Setup, a recent-file list, and Exit.

New

A new file is generated by using the function New. Caution is needed since the data that are not saved can be deleted by using this function.

New From Template...

A new file basing a Template is generated by this function. Caution is needed since the data that are not saved can be deleted by using this function. Details on Template are introduced later. The function is activated only in Template module.

STM Model Template dialog showing a 3-by-3 grid of concrete model thumbnails (corbels, pile caps, deep beams, anchorage zones) with a Close button.

Open...

A previously saved file named as *.stm is opened by this function. Caution is needed since the data that are not saved can be deleted by using this function. A *.stm file generated by other program (module) can also be opened. The functions regarding the structural analysis of strut-tie model and printout of structural design report are not supported for the file generated by other program.

Save

An existing or new working file is saved with the filename extension *.stm in the program AStrutTie.

Save As...

An existing or new working file is saved as other filename with the filename extension *.stm.

Import...

A drawing file saved as Dxf type is imported by this function. Caution is needed since the data that are not saved can be deleted by using this function. The function is activated only in Free Modeling module.

Export...

The finite element models for plane solid and truss structures are exported as Dxf type drawing files. The function is activated only in Free Modeling module.

View Input File...

The input file of the currently working model is opened as a text-editor, and the contents of the input file can be checked.

View Output File...

The output file of the currently working model can be opened as a text-editor, and the contents of the output file can be examined.

Recently Worked File

The previous 10 projects are listed. A project is opened by clicking one of them.

Exit

The AStrutTie is terminated by this function.

EDIT

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Undo

EDIT pull-down menu on the Menu Bar listing Undo, Redo, Cut, Copy, Paste, Delete, Find, Divide, Offset, Move, Stretch, Mirror, Rotate and Object Snap Mode.

Undo

The previous work is cancelled by this function. The previous works are cancelled step by step by applying the Undo function repeatedly. Once the structural analysis, mode change, load combination change, or modeling change has been completed, the Undo function does not activate on the previous actions. The previous work can also be cancelled by the shortcut key [ctrl + z].

Redo

The work cancelled by the Undo function is reinstated by this function. The previous works cancelled step by step by the Undo function are reinstated by applying the Redo function repeatedly. Once the structural analysis, mode change, load combination change, or modeling change has been completed, the Redo function does not fulfill its function. The previous work can also be reinstated by the shortcut key [ctrl + r].

Cut

The components of finite element model such as finite elements and nodes are cut and saved in the clipboard by this function. The contents saved previously in the clipboard are deleted. The function is also activated by the shortcut key [ctrl + x].

Copy

The components of finite element model are copied and saved in the clipboard by this function. The contents saved previously in the clipboard are deleted. The function is also activated by the shortcut key [ctrl + c].

Paste

The contents saved in the clipboard by the function Cut or Copy are called and pasted by this function. When pasting, a reference point must be designated by clicking the mouse or inputting the coordinates of the reference point. The reference point must be located at the smallest values of x- and z-coordinate of the contents. The function can also be activated by the shortcut key [ctrl + v].

Delete

The components of finite element model are deleted by this function. The information assigned to each component is also deleted. The function of this function can also be activated by the key [Delete].

Find...

The components of finite element model are searched by this function. A node or finite element is found by typing in a number or character in View Options Window.

Divide...

A selected element in the finite element model of truss structure is divided into multiple elements according to the following three options.

Uniform space: An element is divided into multiple equal-sized elements by typing in the desired number of elements.

Absolute distance: An element is divided into multiple equal- or unequal-sized elements by assigning reference point(s). The number of reference points and generated elements cannot exceed 3 and 4, respectively.

Relative distance: An element is divided into multiple equal- or unequal-sized elements by typing in the size ratio(s) ranging 0 to 1. The size ratio is the length ratio of the generated element to the original element. The number of size ratios and generated elements cannot exceed 3 and 4, respectively.

Divide dialog with Option group offering Uniform space (2 ea, selected), Absolute distance and Relative distance with 1st/2nd/3rd fields, plus OK and Cancel buttons.

Offset...

A new element that is parallel to the selected element is generated by this function. The distance between the selected element and the newly generated element must be assigned along with the number of elements that must be generated.

Edit Offset dialog with Distance and Iterations input fields (set to 1) and the note "Click view for Direction".
Offset command in use: a selected line between nodes 53 and 54 with an arrow showing the click direction, and the Edit Offset bar set to Distance 1.5, Iterations 2, 'Click view for Direction'.
Three parallel green elements labeled 87, 90 and 91 with end nodes 53-54, 59-60 and 61-62, and a red arrow showing the offset direction of the copies.

Move...

The location of a selected element is altered by this function. The reference and moving points must be assigned by clicking the mouse.

https://youtu.be/N-S5X3oIgws

Edit toolbar with the "Move Node or Element" button highlighted above a strut-and-tie model showing nodes G, F, H and E with members FG, GH and HE.
Stretch operation in the Edit toolbar: a green strut-and-tie model with nodes E, F, G, H and labelled start and end pick points marked by red crosses.
Strut-and-tie model drawing with green members FG, GH, HE and EF and nodes G, I, H, J, F, E, with a magenta symbol at node J, below the floating Edit toolbar.

Stretch

The lengths of elements that are connected to some selected elements are changed by moving the selected elements and nodes. The reference and moving points must be assigned by clicking the mouse. Without using the Pull-down menu and shortcut key, the positions of nodes can be moved directly by the mouse.

https://youtu.be/WVaXFBMOm60

Edit toolbar with the Stretch Element tool highlighted by its tooltip, above a green strut-and-tie model with nodes G, H, J and members FG, GH, HF.
CAD view with the Edit toolbar above a green strut-and-tie truss (members FG, GH, HI), showing 'start' and 'end' pick points across a 0.50 mirror axis
Strut-and-tie model drawn in green over a structure outline with labeled members FG, GH, EG, FH, EF and HE at nodes G, I, H and J, with the floating Edit toolbar above.

Mirror

The selected elements and nodes are copied and moved symmetrically by this function. Prior to selecting the mirror type Move or Copy, a reference line must be determined by clicking the mouse twice.

https://youtu.be/MacETCnSldE

Edit toolbar with the "Mirror Node or Element" button highlighted, above a strut-and-tie model with nodes G, H, I and members FG, GH, HI shown in green.
Mirror command in the Edit toolbar: a green strut-tie model selected with a note to input P1, P2 and a Select Mirror Type dialog offering Move or Copy.
Strut-and-tie model of a corbel-like region with green members labeled FG, GH, GI, EF, HE, LJ, JK and KL between nodes G, H, I, J, K, L, with the Edit toolbar shown above.

Rotate

A selected element is rotated by this function. A reference point and rotating angle must be assigned in order.

https://youtu.be/AbC_IERlLPU

Edit toolbar with the "Rotate Node or Element" button highlighted, above a strut-and-tie model showing green members between nodes G, I, H and J.
Strut-and-tie model with nodes G, I, H and members FG, GH, HE selected in the drawing, with the Edit toolbar above and an Edit Coordination dialog showing Coordination values 4.775 and 0.5.
Green strut-tie truss with members labeled FG, GH and HE being rotated about node J, with the Edit toolbar above and the "Edit Rotation Angle" dialog showing an Angle(\u00b0) field.
Strut-and-tie model drawing with green members labeled FG, GH, IG, HE and EF between nodes G, I, H, E and P, with a magenta snap marker at node E and the floating Edit toolbar above.

Object Snap Mode

The snaps helpful for the modeling and editing of truss structure can be set by this function.

Object Snap Mode dialog with Mode checkboxes for End Point, Mid Point, Cross Point, Near Point, Perpendicular Point and All, with OK and Cancel buttons.

Edit Template

This function is working only for the models constructed by using a Template. The editing works regarding the changes or refinements of geometrical shape of concrete member, load and boundary conditions, and truss model are possible by this function. These Menus are same of New form Template Dialog.

VIEW

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The functions for (de)activating the sub windows (or menus) in the Tree Menu Window are…

Menu Bar with the VIEW pull-down menu open, showing checked Work, Group, Report, Output, View Options and the Zoom In, Zoom Out, Zoom Extend, Pan commands.

The functions for (de)activating the sub windows (or menus) in the Tree Menu Window are provided. The functions for adjusting the views in Modeling and Result Display Window are also provided.

Work

The sub window Work in the Tree Menu Window is (de)activated by this function.

Group

The sub window Group in the Tree Menu Window is (de)activated.

Report

The sub window Report in the Tree Menu Window is (de)activated.

Output

The Output Display Window is (de)activated.

View Options

The View Options Window is (de)activated.

Model

The information on the finite element models for plane solid and truss structures is or is not displayed with variable font sizes and designation methods by clicking True or False in the View Options Window - Model.

View Options panel under Model showing Node, Node Name, Font Size 9, Type 1, 2, 3, Element, Mesh False, Restraint, Spring, Boundary, Load, Load Value and Boundary Load False settings.

Effective Width/Zone

The available and required widths of struts, ties, and nodal zones are or are not displayed by clicking True or False in the View Options Window – Effective Width/Zone.

Effective Width/Zone section of the View Options window with Max. Strut/Tie Width, Req. Strut/Tie Width, Max. Nodal Zone, and Req. Nodal Zone all set to False

Analysis Result

The finite element analysis results including the cross-sectional forces of truss elements, compressive principal stress flows of a concrete member, ESO, and nodal zones are or are not displayed by clicking True or False in the View Options Window – Analysis Result.

View Options panel showing Analysis Result settings (Truss, Truss Value, Stress Flow, Contour Style) and Others settings (Grid Points, GuideLines, Axis, Background Style).

Zoom In

The Modeling and Result Display Window is enlarged from the mouse cursor by scrolling the mouse wheel up.

Zoom Out

The Modeling and Result Display Window is reduced from the mouse cursor by scrolling the mouse wheel down.

Zoom Extend

The Modeling and Result Display Window is enlarged or reduced automatically to show all the concrete members and corresponding models. This function is also activated by clicking the mouse wheel button twice.

Pan

The Modeling and Result Display Window is shifted by dragging the mouse while clicked. The window can also be shifted by the mouse wheel button.

SELECT

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Any

Menu Bar with the SELECT pull-down menu open, listing Any, Only Nodes, Only Elements, Only Struts, Only Ties, All Nodes, All Elements, All Struts, All Ties, Select Previous, Clear Selections and Group.

Any

Either of elements, nodes, struts, or ties is selected by this function

Only Nodes

The nodes in a finite element model are selected only.

Only Elements

The elements in a finite element model are selected only.

Only Struts

The struts in the strut-tie model of a concrete member are selected only. When this function is activated, the function Only Ties cannot be activated. This function is activated after conducting a finite element analysis of truss structure.

Only Ties

The ties in the strut-tie model of a concrete member are selected only. When this function is activated, the function Only Struts cannot be activated. This function is activated after conducting a finite element analysis of truss structure.

All Nodes

All the nodes in a finite element model are selected.

All Elements

All the elements in a finite element model are selected.

All Struts

All the struts in the strut-tie model of a concrete member are selected. This function is activated after conducting a finite element analysis of truss structure.

All Ties

All the ties in the strut-tie model of a concrete member are selected. This function is activated after conducting a finite element analysis of truss structure.

Select Previous

The elements and nodes selected previously are reselected during the operation of EDIT or ASSIGN.

Clear Selections

All the selections are cancelled. The selections can also be cancelled by clicking a vacant spot of Modeling and Result Display Window.

Group

The selected elements and nodes are designated as a group.

"Add to Group" dialog with a Group section containing a "Group Name" drop-down field, plus OK and Cancel buttons.

DESIGN

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Add Nodes

Menu Bar with the DESIGN pull-down menu open, listing Add Nodes, Add Elements, Advanced Elements, Grid Points, Guidelines, Create Truss From Boundary, Node Information, Renumbering and Calulate Max. Width.

Add Nodes

Finite element nodes for constructing the finite element models of plane solid and truss structures are generated by this function. The generated nodes must be connected to their corresponding finite element(s). This function is used in the Beginning Mode and Modeling Mode – Truss.

Add Elements

A finite element is generated by assigning the coordinates of both end points of the element. More elements are generated by using this function repeatedly. This function is used in the Beginning Mode and Modeling Mode – Truss.

Advanced Elements

Four types of truss element sets shown below are provided to construct a finite element model of truss structure quickly and efficiently. This function is used in the Modeling Mode – Truss and Free Modeling module.

Truss element set submenu listing Combined Shape, Bottle Shape, Truss Shape, and Arch Shape with icons

Design Combined Shape

To activate this function, two points, P1 and P2, in the combined shapes shown below must be clicked after selecting one of the combined shapes. The shape of the element set does not change regardless of the clicking order of the two points.

"Design Combined Shape" dialog showing three selectable strut-and-tie truss patterns with P1 and P2 corner points marked, plus OK and Cancel buttons.

Design Bottle Shape

A bottle-shaped element set is generated by this function. To activate this function, two points, P1 and P2, in the bottle shapes shown below must be clicked after selecting one of the bottle shapes. The aspect ratio to determine the slopes of inclined elements and the number of ties limited to 2 must be assigned.

"Design Bottle Shape" dialog showing a bottle-shaped strut-and-tie diagram with points P1 and P2, an Aspect Ratio field set to 1 : 2, and a Number of Ties dropdown set to 1, with OK and Cancel buttons.
Design Bottle Shape dialog showing a bottle-shaped strut-tie layout between points P1 and P2, with Aspect Ratio 1:2 and Number of Ties set to 2, plus OK and Cancel buttons.

Design Truss Shape

A rectangular-shaped element set is generated by this function. To activate this function, three points (P1, P2, P3) as shown below must be assigned. The direction of inclined element is changed according to the input order of the points. The rectangular-shaped element set is transformed to a trapezoid shape if the Free is selected as the P3 Option. The number of bays must be inserted.

Design Truss Shape dialog with a P1-P2-P3 truss preview, P3 Option of Orthogonal or Free, Number of Bays set to 3, and three Direction diagonal choices.

Design Arch Shape

An arch-shaped element set is generated by this function. To activate this function, three points (P1, P2, P3) as shown below must be assigned. The direction of inclined element is changed according to the input order of the points. The number of bays must be inserted.

"Design Arch Shape" dialog showing a fan of inclined members from apex P1 to base line P2–P3 spanning the bays, with a "Number of Bays" field set to 4 and OK/Cancel buttons.

Grid Points...

The numerous points visualizing multiple grid lines as shown below are generated in the Modeling and Result Display Window by this function. The grid lines can be helpful for constructing the geometrical shape of concrete member and the finite element models of plane solid and truss structures. This function is activated by setting the Grid Points to True in the View Options Window. The minimum grid spacing and the coordinates of origin point must be assigned.

Construct Grid Points dialog with Min. Grid Spacing fields for X, Y, Z directions in mm and Origin Point X, Y, Z values, plus OK and Cancel buttons.
Modeling window with dot grid, a line drawn to length 7.21 and a snap tooltip reading Grid Point -1.0000, 6.0000, with X-Z axis triad at lower right.

Guidelines...

The guidelines as shown below are generated in the Modeling and Result Display Window by this function. The guidelines can be helpful for constructing the geometrical shape of concrete member and the finite element models of plane solid and truss structures. This function is activated by setting the Guidelines to True in the View Options Window. Horizontal and vertical guidelines are generated by assigning the distances from the orthogonal axes. The guidelines can be added/modified/deleted by changing the assigned distances.

Construct Guidelines dialog with X, Y and Z Guidelines sections, each having a Distance from Axis field in mm, Add/Modify/Delete buttons and a Defined Locations list, plus OK and Cancel.
Modeling window with dashed horizontal and vertical guidelines, X\u2013Z axis symbol, a line labeled 3.80 snapping to a point, and a tooltip reading "Vertical Guideline, Distance -4.4495".

Add Dynamic Guideline

It make easy guideline. User define guideline.

https://youtu.be/-5u9Xe77iH8

Delete Dynamic Guideline

Create Outer Boundary

The outer boundary of a concrete member is generated by this function. The function is applicable only in the Beginning Mode. It is not activated when the every boundary line shaping a concrete member is not connected completely. The outer boundary is created only once. If another outer boundary is created, the previous outer boundary is deleted.

Create Inner Boundaries

The inner boundaries for modeling the openings of a concrete member are generated by this function. The function is applicable only in the Beginning Mode. It is not activated when the every boundary line shaping an opening is not connected completely. The function must be activated after creating the outer boundary of a concrete member. The openings must be positioned inside of the outer boundary. Multiple inner boundaries can be created.

Create Area

The area of a concrete member surrounded by its outer boundary is generated by this function. This function is applicable only in the Beginning Mode.

Create Truss From Boundary

Truss elements for a concrete member, with a certain distance away from its outer and inner boundaries , are created automatically by this function. The distance, considered as one-half of the available widths of the truss elements, must be assigned.

"Create Truss from Boundary" dialog with an Offset Boundary section, Offset field set to 0.100 m, an "Apply to all truss model" checkbox, and OK and Cancel buttons.
Rectangular truss outline with nodes A through H and members labeled AB, BC, CD, DE, EF, FG, GH and HA.

Copy Truss To All

A truss model for a given load combination can be copied to those of all load combinations by this function. Caution is needed because the previous truss models for other load combinations are all deleted once the function is activated.

Node Information

The information on the nodes of truss model (strut-tie model) is displayed by this function. The information includes the coordinates of node, width of bearing plate, boundary conditions, node type, and anchorage of reinforcing bars. The information on the coordinates and effective strength of node can be modified by this function.

Nodes Information dialog listing Node, X (m), Z (m), Effective Width (m), Restraints, Types, 10% Increase of Effective Strength and Anchorage checkboxes for each node.

Element Information

The information on the elements of truss model (strut-tie model) is displayed by this function. The information includes the node numbers at element’s both ends (start node, end node), assumed available widths at element’s both ends (i-width, j-width), area type, and tie type. The information on the assumed available widths can be modified by this function.

Elements Information dialog listing Element, Start Node, End Node, Element Type (Type, i Width, j Width), Area Types, Strut Types, Tie Types and Check Element columns for outer and inner elements.

Renumbering

The element and node numbers (of the finite element models of plane solid and truss structures) that are not in sequential order due to editing of the finite element models are renumbered by this function. The renumbering is activated automatically in the finite element analyses.

Cal. Max Width

The available widths of all elements in a strut-tie model, calculated automatically by the program, are displayed by executing the function DESIGN-Element Information or ASSIGN-Outer Element. The available widths can be modified.

DEFINE

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Project Information...

DEFINE pull-down menu opened on the menu bar, listing Project Information, General Properties, Area Properties, Strut Types, Tie Types, Node Types, Static Load and Load Combinations.

Project Information...

The necessary information that must be included in the structural design report including the types of structural analyses (ESO, Stress Flow, Truss), number of load combinations, and mesh sizes for stress flow and ESO analyses are set here. Caution is needed: when a check mark in the analysis box is removed, the corresponding previous modeling information will be deleted.

Project Information dialog with Title, Designer, Date and Note fields, Analysis checkboxes for ESO, Stress Flow and Truss Model, and Properties for number of combinations and mesh sizes (0.4 m, 0.2 m).

General Properties...

The strength reduction factors of strut, tie, and node are assigned here. The sectional and material properties of reinforcing bars and concrete are also assigned.

ACI 318M-14 (2014)

General Properties dialog, Strength Reduction Factor tab with Strut, Tie and Node types each set to a factor of 0.75, alongside Rebar, Conc and Steel tabs.
General Properties dialog, Rebar tab listing bar Separation (#3-#11) with Unit Mass (kg/m), Cross section area (mm\u00b2) and Diameter (mm), plus Default, OK and Cancel buttons.
General Properties dialog, Conc tab, listing Name, IDES, Mass M 2350.0 kg/m\u00b3, Weight W 23.500 kN/m\u00b3 and Poisson U 0.150, with Default, OK and Cancel buttons.
General Properties dialog, Steel tab, listing Name, IDES, Mass M, Weight W, Elastic Modulus Es, Poisson U and Yield Strength fy with values and units.

AASHTO LRFD (2014)

General Properties dialog, Strength Reduction Factor tab listing Type and Factor values: Strut 0.70, Tie 0.90, Node 0.70, with Rebar, Conc and Steel tabs.

EuroCode 2 (2004)

General Properties dialog, Partial Factors for Materials tab showing Concrete 1.50 and Reinforcing & Prestressing Steel 1.15, with Rebar, Conc and Steel tabs.
General Properties dialog, Conc tab, listing Name, IDES, Mass M 2350.0 kg/m\u00b3, Weight W 23.500 kN/m\u00b3, Poisson U 0.150, and coefficient of long term effects 1.00.

Area Properties...

The thickness and material properties of a concrete member are assigned here.

Area Properties dialog with Area1 tab listing Area Name, Thickness (m), Compressive Strength fck, Tensile Strength fct and Elastic Modulus Ec in Mpa.

Strut Types

Default types of concrete struts in a strut-tie model are defined here. More strut types can be added.

ACI318M-14 (2014)

Define Concrete Struts dialog listing strut types with 
s and \u03bb columns, and Default, Add, Delete buttons.

AASHTO LRFD (2014)

Define Concrete Struts dialog with Option/Select table listing Strain of Steel Tie, es set to fs/Es and Minimum Effective Strength of Concrete Strut of 0.4, with Default, OK and Cancel buttons.

EuroCode2 (2004)

Define Concrete Struts dialog listing Name and v columns with 'Strut without Transverse Tension' set to 1.0 and 'Strut with Transverse Tension' set to 0.6(1-fc'/250), plus Default, Add, Delete, OK and Cancel buttons.

Tie Types

The steel ties in a strut-tie model represent the main reinforcing bars, shear reinforcing bars, and supplementary reinforcing bars of a concrete member. Two different types of reinforcing bars in a horizontal layer and up to 4 vertical layers .

Define Reinforcements Ties dialog listing Main Rebar, Shear Rebar, Supplementary, with section preview and fields for Rebar Type, Layer, rebar diameters and Material Type.

The shear reinforcing bars can be divided into horizontal, vertical, and inclined reinforcing bars. The information on the shear reinforcing bars is required.

Define Reinforcements Ties dialog with Shear Rebar selected, showing Rebar Type, Shear Type (Vertical Shear), Rebar Diameter #3, Number of Legs, Rebar C.T.C and Material Type, plus a sketch of rebar spacing.

For the horizontal or vertical supplementary reinforcing bars, the number of legs and layers must be assigned.

Define Reinforcements Ties dialog with Supplementary selected, showing a rebar diagram and fields for Rebar Type, Total Layer, Diameter, Number Of Legs, and Material Type.

Node Types...

Three types of nodes in a strut-tie model are defined here. More node types can be added.

Define Node Types dialog listing CCC, CCT and CTT rows with Name, Type and \u00dfn columns (1.0, 0.8, 0.6) and Default, Add, Delete, OK, Cancel buttons.

Static Load...

Default types of loads are defined here. More load types can be added.

Define Load Case dialog, Loads tab listing load names D, L, W, E with descriptions Dead Load, Live Load(max), Wind(Axial), Earthquake Load and Self Weight factors, plus Add, Delete and Close buttons.

Load Combinations...

The load combinations that must be considered in the strut-tie model design are defined here. More load combinations can be added. Although the number of load combinations can be changed in the DEFINE-Project Information, it can also be changed here by adding or deleting the combinations. Caution is needed because the information on the finite element models related to a certain load combination is removed when the load combination is deleted.

Define Load Combinations dialog with a table of factors for load cases D, L, W, E across rows LC01-LC03, and Add, Delete, OK, Cancel buttons.

ASSIGN

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Bearing Plates ...

Menu bar with the ASSIGN pull-down menu open, showing Bearing Plates, Restraints, Spring, Strut Types, Node Types, Stable Check and Static Load, with Fixed Area greyed out.

Bearing Plates ...

The specification of bearing plates for bridges or prestressed concrete members is assigned by this function. If the effective width of a bearing plate is typed in, it will be used in calculating the available width of strut and verifying the bearing strength of concrete.

"Assign Bearing Plates" dialog with Vertical plates (B, L, t, a in mm, Top/Bottom option) and Horizontal plates (H, L, t, a, Left/Right option), each with an Effective Width field, and OK/Cancel buttons.

The vertical and horizontal plates support vertical and horizontal loads respectively. In the vertical plate, B, L, t, and are the width, longitudinal length, thickness, and slope (degree) measured from positive horizontal axis, respectively. If the plate is placed on top or bottom of a concrete member, Top or Bottom must be selected. In the horizontal plate, H, L, t, and are the height, longitudinal length, and thickness, and slope (degree) measured from … respectively. If the plate is placed at left or right of a concrete member, Left or Right must be selected.

Restraints...

The hinge or roller boundary conditions for the finite element analyses of plane solid and truss structures are assigned by this function.

Assign Restraints dialog with checkboxes for Translation 1-3 and Rotation about 1-3, a Roller Angle field, and Fast Restraints buttons with OK and Cancel.

Spring...

The stiffness values of springs in all directions are assigned to the elements modeling spring boundary conditions.

Assign Spring Stiffness dialog with Spring Stiffness in Local Direction fields for Translation 1-3 in kN/m and Rotation about 1-3 in kN.m, with OK and Cancel buttons.

Strut Types...

The types of concrete struts defined earlier by DEFINE-Strut Types-Concrete Struts are assigned to the every element of a strut-tie model after clicking concrete struts one by one.

.

"Assign Strut Types" dialog listing Prismatic Strut, Bottle Shape Strut (satisfying or not satisfying ACI 318M-14 23.5.3), Strut in Tension Zones, and All Other Cases.

Tie Types...

The types of steel ties defined earlier are assigned to the every element of a strut-tie model. After conducting a finite element analysis of strut-tie model, the elements with tensile cross-sectional forces must be recognized as the steel ties.

"Assign Tie Types : 3" dialog with a Name list of radio options—Upper Rebar (selected), Lower Rebar, Vert-Hori Shear—and OK and Cancel buttons.

Node Types...

The types of nodes defined earlier are assigned automatically to the every node of a strut-tie model.

"Assign Node Types : 4" dialog listing node type names CCC, CCT, CTT and TTT with CTT selected, plus OK and Cancel buttons

Stability Check...

A constructed strut-tie model can be unstable during the finite element analysis. For this case, the element(s) with very small axial stiffness value(s) can be added to the constructed strut-tie model.

"Assign Stable Element : 45" dialog with Stable/Structural radio buttons, Structural Element selected, and OK/Cancel buttons.

Anchorage Check...

The nodes at which the re-bar anchorage verification is required are assigned by this function.

"Assign Anchorage check: 1" dialog with Check/Non-check radio options "Check Anchorage" and "Non-check Anchorage" selected, plus OK and Cancel buttons.

Element Check...

The elements whose strength verifications are not required can be assigned by this function.

"Assign Element Check : 45" dialog with a Check/Non-check group offering "Check Element" (selected) and "Non-check Element" radio buttons, plus OK and Cancel.

Outer Element...

The boundary elements in a strut-tie model are assigned to the Outer Elements with available widths at elements ’ both ends. The available widths at both ends must be assigned, too. The assigned available widths are used for determining the available widths of other elements.

"Assign Outer/Inner Element" dialog with Outer Element selected, checkboxes for maximum effective width at I and J ends in mm, and OK/Cancel buttons.

Fixed Area...

The cross-sectional areas of certain elements can be fixed in the iterative process for determining the cross-sectional areas and forces of struts and ties.

Assign Fixed Area dialog with a "Fixed Area(mm\u00b2)" input field showing 0.352 and OK and Cancel buttons

Static Load ...

The external loads in a strut-tie model are imposed by this function. Please refer to Quick Start-Application of Load.

Assign Load dialog with Load Case Name set to D and a table row for Node 6 showing GlobalX 0, GlobalZ -300, Mark D6, plus OK and Cancel buttons.

Boundary Load To Truss Load...

The loads imposed to the finite element model of plane solid structure in the Beginning Mode are converted to the loads acting on the nodes of a corresponding strut-tie model. To activate this command, the elements and nodes of the strut-tie model must be selected first. The converted loads can be modified if necessary.

Convert Boundary Load To Truss Load dialog with a Load Conversion case selector (D:, T1) and a table of Node, Value and Mark (T1_1 to T1_5) entries.

ANALYSIS

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Run Analysis

Menu Bar with the ANALYSIS pull-down menu open, showing Run Analysis and Analysis Option... items alongside FILE, EDIT, VIEW, SELECT, DESIGN, DEFINE, ASSIGN, OUTPUT and HELP.

Run Analysis

The executive files for the finite element analyses for ESO, Stress Flow, Truss, and Nodal Zone are activated by this command. During the execution, nothing can be inputted.

Anlysis & Print Options ...

The problem type, peak strain of concrete and number of incremental load steps for the finite element material nonlinear analysis of a nodal zone, elimination ratio for the evolutionary structural optimization of a concrete member, and maximum memory for finite element analysis are set by this function. The printing options including the convergence ratio in the iterative finite element analysis of a strut-tie model for determining the cross-sectional areas of struts and ties are set, too. More structural analysis time is required with larger incremental load steps or smaller elimination ratio.

Analysis Option dialog with Plane strain element selected, Peak Strain 0.0021, ESO elimination ratio 0.05, and four checked Print options.

OUTPUT

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Save as Word file...

Menu Bar with the OUTPUT menu open, showing the items 'Save as Word file...' and 'Save as Excel file...'

Save as Word file...

An output file is saved as a Word file (*.rtf) .

Save as Excel file...

An output file is saved as an Excel file (*.xlsx) .

HELP

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Online Manual...

Menu Bar with the HELP pull-down menu open, listing Online Manual..., AStrutTie Blog..., AStrutTie Shop..., Lock Information, and About AStrutTie...

Online Manual...

The online manual of the AStrutTie is provided.

AStrutTie Blog...

The AStrutTie Blog webpage is connedted .

https://www.astruttie.com/ko

AStrutTie Shop...

The AStrutTie Shop webpage is connected.

https://service.aroad.co.kr/shop/astruttie/buy.do

About AStrutTie...

The information on the AStrutTie is provided.

Detail of New from Templates

Blue AStrutTie User Manual banner with the section title "Detail of New from Templates" and the HanGil logo.

Corbel

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Dimension

Dimension

The dimensions of a bracket are assigned. The boundary lines of the bracket are drawn according to the assigned dimensions. The loads and the area of reinforcing bars must be converted to those of the bracket with 1 meter thickness since the thickness of the bracket is assumed to be 1 meter.

Template Corbel dialog, Dimension tab with Dir set to Left and H1, H2, W, B, LD inputs, beside a corbel outline showing those dimensions.

Load

The dead and live loads with their load factors are assigned. After assigning the load names and load factors, they can be altered, added, or deleted in the DEFINE-Static Load. The positive values for vertical and horizontal loads must be assigned.

Template Corbel dialog, Load tab, with a table of load cases D and L listing Vertical (kN), Horizontal (kN) and Factor values, beside a corbel sketch showing the applied load arrow.

STM setting

Three reference distances D1, D2, and D3 are assigned for the automatic construction of a strut-tie model for bracket.

Template Corbel dialog, STM setting tab with D1, D2, D3 (mm) each 80 and Slope of load acting(A) 0.2, beside a corbel diagram showing the strut-tie layout and D1, D2, D3 locations.

Rebar

The areas of the reinforcing bars assigned to the bracket below are recognized as the steel tie areas of the strut-tie model for a bracket. The information on the reinforcing bars can be altered, added, or deleted in the DEFINE-Tie Types-Reinforcement Ties. The information can be assigned to the elements of the strut-tie model in the ASSIGN-Tie Types.

Template Corbel dialog, Rebar tab: table of Separation, Dia, EA, CTC (mm) for main reinforcement of outer(A), inside(B), Bracket(C) and shearing bar(D), with corbel diagram showing bar locations A–D.

Abutment Footing

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Dimension

Dimension

The dimensions of an abutment footing are assigned. The boundary lines of the abutment footing are drawn according to the assigned dimensions. The loads and the area of reinforcing bars must be converted to those of the footing with 1 meter thickness since the thickness of the footing is assumed to be 1 meter. The Right in the Dir indicates that the right side of the footing is the front. On the contrary, the Left in the Dir indicates that the left side of the footing is the front. The symbol T used for calculating the soil (or pile) reaction coefficient is the thickness of the footing.

Template Abut Footing dialog, Dimension tab with B, L1, WW, L2, H1, H2, H3, W1, W2 inputs and a labeled abutment footing section sketch

Foundation

The type of abutment footing, coefficients of soil or pile reaction per unit area, and number of piles in two horizontal directions are assigned. Two foundation types (Spread Footing, Pile Footing) are provided.

Template Abut Footing dialog, Foundation tab, with Type Of Footing set to Spread Footing plus vertical and horizontal soil reaction coefficient fields and a footing shape preview.
Template Abut Footing dialog, Foundation tab with Type Of Footing set to Pile Cap, pile count and subgrade reaction coefficient fields, and a footing sketch with pile spacings D1, D2, D3,D4.

Load

The dead and live loads are assigned. After assigning the load names and description, they can be altered, added, or deleted in the DEFINE-Static Load. The positive values for vertical load, horizontal load, and moment must be assigned.

Template Abut Footing dialog, Load tab: Applied Load Type set to Column Load, wall load W with vertical, horizontal and moment columns, heel loads w1/w2, and a sketch of V, H, M with distributed load on heels.

STM setting

The number of nodes below column, three reference distances B, C, and D, and the slope of inclined element are assigned for the automatic construction of a strut-tie model for abutment footing.

Template Abut Footing dialog, STM setting tab, with Number of Node under Pillar (A), distances B, C, D in mm, Node generation:top, Slope of Inclined Element 0.8, and vertical spring type, beside a footing truss diagram

Rebar

The areas of reinforcing bars assigned to the abutment footing below are recognized as the steel tie areas of the strut-tie model for a footing. The information on the reinforcing bars can be altered, added, or deleted in the DEFINE-Tie Types-Reinforcement Ties. The information can be assigned to the elements of the strut-tie model in the ASSIGN-Tie Types.

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Template Abut Footing dialog, Rebar tab listing Top/Bottom Side Horizontal (A, B), Vertical (C) and Horizontal (D) reinforcement with Dia, EA and CTC columns, plus a labeled footing section diagram.

Pier Coping

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Dimension

Dimension

The dimensions of a pier coping are assigned. The boundary lines of the pier coping are drawn according to the assigned dimensions. The symbols T and EA are the thickness of the pier coping and the number of columns. The symbols LD1, LD2, and LD3 are the center-to-center distances of two columns in the pier coping supported by two, three, and four columns, respectively.

Template Pier Coping dialog, Dimension tab listing TL, B, H1, H2, EA, CW, L1, L2, LD1, L3, L4 values with a pier coping elevation sketch labeling these symbols.

Bearing

The positions and dimensions of bearing plates are assigned. The notation Dist is the distance between a load point and left edge of the pier coping.

Template Pier Coping dialog, Bearing tab: table of Dist and bearing plate width, length, thick for 3 plates, with Number of Bearing Plates selector and coping sketch showing Dist dimensions.

Load

The dead and live loads are assigned. After assigning the load names, they can be altered, added, or deleted in the DEFINE-Static Load. The positive values for vertical loads must be assigned. The positive horizontal loads are set as the forces acting from left to right. The negative horizontal loads are set as the forces acting from right to left.

Template Pier Coping dialog, Load tab, with vertical and horizontal kN values for load cases D and L in columns LP 1	a LP 3, Number of loads set to 2, and a coping diagram showing loads LP1	a LP4.

STM setting

The number of nodes at column, three reference distances B, C, and D are assigned for the automatic construction of a strut-tie model for pier coping. Two nodes between two outside load points at the top and bottom of the coping can be generated.

Template Pier Coping dialog, STM setting tab, with Number of Node under Pillar, distances B, C, D in mm, node generation checkboxes, and a coping strut-tie diagram labeling A–G.

Rebar

The areas of reinforcing bars assigned to the pier coping below are recognized as the areas of steel ties of the strut-tie model for pier coping. The information on the reinforcing bars can be altered, added, or deleted in the DEFINE-Tie Types-Reinforcement Ties. The information can be assigned to the elements of the strut-tie model in the ASSIGN-Tie Types.

Template Pier Coping dialog, Rebar tab, listing Top and Bottom Side Horizontal Reinforcement (A, B), Vertical (C) and Horizontal (D) with Dia, EA and CTC columns beside a coping section diagram.

Pier Footing

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Dimension

Dimension

The dimensions of a pier footing are assigned. The boundary lines of the pier footing are drawn according to the assigned dimensions. The symbols T and EA are the thickness of the pier footing and the number of columns. The symbols LD1, LD2, and LD3 are the center-to-center distances of two columns in the pier coping supported by two, three, and four columns, respectively.

Template Pier Footing dialog, Dimension tab with B, L1, L2, H1, EA, CW and LD1 fields and a footing section sketch showing L1, L2, H1, CW and LD1 dimensions.

Foundation

The type of pier footing, coefficients of soil or pile reaction per unit area, and number of piles in two horizontal directions are assigned. Two foundation types (Spread Footing, Pile Footing) are provided.

Template Pier Footing dialog, Foundation tab, with Type Of Footing set to Spread Footing and vertical and horizontal soil reaction coefficient fields, plus a spread footing preview.
Template Pier Footing dialog, Foundation tab with Type Of Footing set to Pile Cap, pile number, diameter, D1, Ea1 and subgrade reaction coefficients, beside a footing diagram with pile spacings.

Load

The loads from column(s) are assigned. After assigning the load names, they can be altered, added, or deleted in the DEFINE-Static Load. The positive values for vertical loads must be assigned. The positive horizontal loads are set as the forces acting from left to right. The negative horizontal loads are set as the forces acting from right to left. The positive and negative moments are set as the clockwise and counterclockwise moments, respectively.

Template Pier Footing dialog, Load tab: Applied Load Type set to Column Load, table of Load Point, Load Combination, Vertical, Horizontal and Moment for Column 1 and 2, with V, H, M sketch.
Template Pier Footing dialog, Load tab: Applied Load Type set to Pile Reaction, Automatic Calculation, and Vertical/Horizontal/Moment load table for Column 1 and 2, with V, H, M footing diagram.

STM setting

The number of nodes under column, three reference distances B, C, and D, and the slope of inclined element are assigned for the automatic construction of the strut-tie model for pier footing.

Template Pier Footing dialog, STM setting tab: Number of Node under Pillar (A) = 2, distances B, C, D = 100 mm, slope 0.8, with a strut-tie model diagram labeling A-F.

Rebar

The areas of reinforcing bars assigned to the pier footing below are recognized as the areas of the steel ties of the strut-tie model for pier footing. The information on the reinforcing bars can be altered, added, or deleted in the DEFINE-Tie Types-Reinforcement Ties. The information can be assigned to the elements of the strut-tie model in the ASSIGN-Tie Types.

Template Pier Footing dialog, Rebar tab, listing Top/Bottom Side Horizontal (A, B), Vertical (C) and Horizontal (D) reinforcement with Dia, EA and CTC columns beside a footing section diagram.

Frame Corner

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Dimension

Dimension

The dimensions of four types of frame corners (Upper Left, Upper Right, Lower Left, Lower Right) subjected to opening or closing moments are assigned. The boundary lines of a frame corner are drawn according to the assigned dimensions. The loads and the areas of reinforcing bars must be converted to those of the frame corner with 1 meter thickness since the thickness of the frame corner is assumed to be 1 meter.

Template Corner dialog, Dimension tab, with Location set to Upper Left, Type of Conner as Closing Moment Type 1, and H1, H2, Hh, Bh values beside a frame corner sketch labelling those dimensions.
Four frame corner strut-and-tie models in the AOhsdTie modeling window paired with force diagrams showing struts, ties and nodal forces at opening and closing moment corners.

Load

The opening moments or closing moments are assigned. After assigning the load name, it can be altered, added, or deleted in the DEFINE-Static Load. The positive moment that acts to the directions shown in the figure must be assigned.

Template Corner dialog, Load tab, with a Load Name/Moment (kN.m) table entry M = 800 and a corner sketch showing the moment directions at both ends.

STM setting

Different information according to the types of frame corners and moments is assigned for the automatic construction of the strut-tie model for frame corner. The assigned moments are converted to the distributed or concentrated forces at their corresponding sections for plane solid analysis. In the strut-tie model analysis, the moments are converted to the concentrated forces. Four types of strut-tie models under closing and opening moments on two upper left frame corners are shown below

Closing Moment Type 1

Template Corner dialog, STM setting tab, with Transformation of Moment set to Concentrated Force, D1-D4 of 80 mm, R1 0.4, R2 0.9, Haunch Angle 45 degrees, and a haunched frame corner diagram labeled A-F and R.

Closing Moment Type 2

Four reference distances and a truss angle are assigned for the automatic construction of the strut-tie model for the frame corner subjected to two closing moments.

Template Corner dialog, STM setting tab with Transformation of Moment set to Concentrated Force and D1(A)–D4(D) plus angle(degree)(E) inputs, beside a frame corner diagram labeling A–E.

Opening Moment Type1

Four reference distances are assigned for the automatic construction of the strut-tie model for the frame corner subjected to two opening moments.

Template Corner dialog, STM setting tab with Transformation of Moment set to Concentrated Force, D1(A)-D4(D) = 80 mm, Tension member of inside(C) = Section, distance ratio 0.1, and a frame corner diagram marking A-E.

Opening Moment Type 2

Four reference distances and one distance ratio are assigned for the automatic construction of the strut-tie model for the frame corner subjected to two opening moments.

Template Corner dialog, STM setting tab with Transformation of Moment set to Concentrated Force, D1(A)-D4(D) distances, R1(ratio) 0.9 and Inner Angle 45\u00b0, beside a frame corner strut-tie diagram labeled A-E.

Rebar

The areas of reinforcing bars assigned to the frame corners are recognized as the steel tie areas of the strut-tie models for the frame corners. The information on the reinforcing bars can be altered, added, or deleted in the DEFINE-Tie Types-Reinforcement Ties. The information can be assigned to the elements of the strut-tie model in the ASSIGN-Tie Types.

Closing Moment Type 1

Template Corner dialog, Rebar tab, listing Vertical (A), Horizontal (B) and Inclined (C) Reinforcement with Dia D22 and EA 4, 4, 2, beside a frame corner diagram marking A, B, C bar positions.

Closing Moment Type 2

Template Corner dialog, Rebar tab: rows for Vertical Reinforcement (A), Horizontal Reinforcement (B), Horizontal shear reinforcement (C) with Dia/EA/CTC, plus corner sketch marking A, B, C.

Opening Moment Type 1

Template Corner dialog on the Rebar tab, listing Vertical (A), Horizontal (B) and Inclined (C) reinforcement with Dia, EA and CTC columns beside a corner rebar layout diagram.

Opening Moment Type 2

Template Corner dialog, Rebar tab with Dia, EA, CTC columns for reinforcement A–E, and a corner detail marking bar positions A to E.

Anchorage Zone with Inclined Tendons

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Dimension

Dimension

The dimensions of a PSC beam anchorage zone with inclined tendons, number of strands, and strand locations are assigned. The boundary lines and tendon layouts are drawn according to the assigned dimensions. The direction Right indicates that the compressive forces of prestressing tendons act from left to right. Two types of strut-tie models are generated: a model constructed by considering the slope of tendons and a model constructed by considering the compressive stress flows. The number of strands is limited to 20. The symbol T is the thickness of the zone.

Template PscBeam dialog, Dimension tab with Direction Right, Type STM Construction Considering Tendon Slope, H, B, Number of Strands, PS1-PS4 and PE1-PE2 fields, and a beam diagram with inclined tendons at right.

Load

The jacking angle and forces are assigned. The positive values for the jacking forces must be assigned.

Template PscBeam dialog, Load tab with Load Type set to Jacking, showing a table of Jacking Force (kN) and Jacking Angle for tendons PS1-PS4 and a preview of the inclined tendons with jacking arrows.
Template PscBeam dialog, Load tab with Load Type set to Direction and a table of Vertical and Horizontal values for PS1-PS4, beside a preview showing four inclined tendons with anchor force arrows.

STM setting

Three reference distances A, B, and C are assigned for the automatic construction of the strut-tie model for the anchorage zone with inclined tendons.

STM Construction by Considering Tendon Slope

Template PscBeam dialog on the STM setting tab with Position of Left End Nodes (A), Top Horizontal Element (B), Vertical Tie Elements (C) and a truss diagram marking A, B, C.

STM Construction by Considering Stress Flows

Template PscBeam dialog, STM setting tab with Position of Left End Nodes (A) 0.05, Top Horizontal Element (B) 0.1, Vertical Tie Elements (C) 0.5 and a strut-tie model diagram labeling A, B, C.

Rebar

The areas of reinforcing bars assigned to the anchorage zone are recognized as the steel tie areas of the strut-tie model for the anchorage zone. The information on the reinforcing bars can be altered, added, or deleted in the DEFINE-Tie Types-Reinforcement Ties. The information can be assigned to the elements of the strut-tie model in the ASSIGN-Tie Types.

Template PscBeam dialog, Rebar tab: row "Reinforcement for Bursting Force (A)" with Dia D22, EA 1, CTC 200 mm, and a sketch marking bar location A.

Anchorage Zone with Straight Tendons

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Dimension

Dimension

The dimensions of an anchorage zone with straight tendon(s) and the information on a bearing plate are assigned. The boundary lines of the anchorage zone are drawn according to the assigned dimensions. The direction Left indicates that the forces by prestressing tendons act from left to right. The symbol T is the thickness of the zone.

Template AnchorPlate dialog, Dimension tab with Direction Left, D-region height and width, anchor plate height, width and thickness, and a preview of straight tendons from the left edge.

Load

The jacking force is assigned. The jacking force must be positive value.

Template AnchorPlate dialog, Load tab, with Jacking Force (kN) of 200 under column PS1 and a preview of the anchor plate with tendons and H dimensions.

STM setting

Four reference distances A, B, C, and D are assigned for the automatic construction of the strut-tie model for the anchorage zone.

Template AnchorPlate dialog, STM setting tab, with position inputs for nodes A, B, C and D beside a strut-tie diagram marking A, B, C, D and load PS1.

Rebar

The areas of reinforcing bars assigned to the anchorage zone with straight tendons are recognized as the steel tie areas of the strut-tie model for the anchorage zone. The information on the reinforcing bars can be altered, added, or deleted in the DEFINE-Tie Types-Reinforcement Ties. The information can be assigned to the elements of the strut-tie model in the ASSIGN-Tie Types.

Template AnchorPlate dialog, Rebar tab, with a table listing Classification, Dia, EA and CTC (mm) for Reinforcement (A) set to D22, and a preview showing bar group A.

Deep Beam with Concentrated Loads

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Dimension

Dimension

The dimensions of a deep beam are assigned. The boundary lines of the deep beam are drawn according to the assigned dimensions. The symbol T is the thickness of the beam.

Template Deep Beam dialog, Dimension tab with TL, B, H1, W1, W2 input fields and a beam elevation sketch labeling TL, H1, W1, W2.

Bearing

The information on the bearing plates are assigned here. The information can be altered in the ASSIGN-Bearing Plates after clicking the strut-tie model node framed by the bearing plate.

Template Deep Beam dialog, Bearing tab, with a table of No., Distance, Width, Depth and Thickness for two bearings, Number of Bearing set to 2, and a sketch showing bearing distance on the beam top.

Load

The vertical loads acting on bearing plates are assigned. After assigning the load name, it can be altered, added, or deleted in the DEFINE-Static Load. The positive loads that act to the directions shown in the figure must be assigned.

Template Deep Beam dialog, Load tab, with a table of Name, LP 1 (kN) and LP 2 (kN), Number of load selector, and a deep beam sketch showing downward arrows at LP1 and LP2.

STM setting

Two reference distances are assigned for the automatic construction of the strut-tie model for the deep beam.

Template Deep Beam dialog on the STM setting tab with Position of Top Element and Position of Bottom Element fields (100 mm each) and a preview of the deep beam strut-tie model showing dimensions A and B.

Rebar

The areas of reinforcing bars assigned to the deep beam are recognized as the steel tie areas of the strut-tie model for deep beam. The information on the reinforcing bars can be altered, added, or deleted in the DEFINE-Tie Types-Reinforcement Ties. The information can be assigned to the elements of the strut-tie model in the ASSIGN-Tie Types.

Template Deep Beam dialog, Rebar tab, listing Top/Bottom Side Horizontal Reinforcement (A, B), Vertical (C) and Horizontal (D) with Dia, EA and CTC columns beside a deep beam bar layout diagram.

Girder

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Dimension

Dimension

The dimensions of a girder and information on the supporting columns (circular, square, rectangle) are assigned. The boundary lines of the girder zone are drawn according to the assigned dimensions. The symbol T is the thickness of the beam.

Template Girder dialog, Dimension tab, with L, H, B, Type of Column (Circular) and D fields beside a girder elevation sketch dimensioned H and L.

Load

The information on the distributed load is assigned. The load name and load combination can be altered, added, or deleted in the DEFINE-Static Load and DEFINE-Load Combinations, respectively. Presently, the program allows only two load types and one load combination.

Template Girder dialog, Load tab, with a Uniform Load table listing load names D and L, W (kN) values of 300, and load factors 1.3 and 2.15, beside a girder diagram showing downward distributed load w on the top edge.

STM setting

Two reference distances are assigned for the automatic construction of the strut-tie model for the girder.

Template Girder dialog on the STM setting tab with Position of Top Element (mm) and Position of Bottom Element (mm) set to 100, and a preview showing the truss model with dimensions A and B.

Rebar

The areas of reinforcing bars assigned to the girder are recognized as the steel tie areas of the strut-tie model for girder. The information on the reinforcing bars can be altered, added, or deleted in the DEFINE-Tie Types-Reinforcement Ties. The information can be assigned to the elements of the strut-tie model in the ASSIGN-Tie Types.

Template Girder dialog, Rebar tab listing Top/Bottom Side Horizontal (A, B), Vertical (C) and Horizontal (D) reinforcement with Dia, EA and CTC columns, beside a girder diagram labeling A-D.

STM information

AStrutTie User Manual banner with the section title "STM information" and the HanGil logo on a blue background.

What is STM?

https://www.astruttie.com/ko/learn

STM design process

https://www.astruttie.com/ko/learn

Evolutionary Structural Optimization(E.S.O) Method

https://www.astruttie.com/ko/learn

Design Example

Blue banner reading "AStrutTie User Manual — Design Example" with the HanGil logo at the right.

Design of deep beams subjected to concentrated load (1)

https://www.astruttie.com/ko/learn

Design of deep beams subjected to concentrated load (1)

https://www.astruttie.com/ko/learn

Design of deep beams subjected to concentrated load (1)

https://www.astruttie.com/ko/learn

Design of deep beams subjected to concentrated load (1)

https://www.astruttie.com/ko/learn

Bridge Pier, Hammerhead Bent Cap, ACI SP273-1

https://www.astruttie.com/ko/learn

Output Report

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Design Report (ACI 318-14) – Deepbeam

https://www.astruttie.com/ko/learn

Design Report (AASHTO LRFD) – Deepbeam

https://www.astruttie.com/ko/learn

Design Report (Eurocode 2) – Deepbeam

https://www.astruttie.com/ko/learn

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