RcGhost Web · RC member design
RC beam section design
Rectangular / T-section, singly / doubly reinforced flexure and shear by Limit State Design. Strain-compatibility analysis keeps even over-reinforced sections accurate with no unconservative error.
Input
Section · Material
Effective depth d = h − d_c = 540 mm
Input
Tension main rebar
A_s = 2,027 mm² · steel ratio ρ = 0.0094 (ρ_min 0.0035)
Input
Optional section
Input
Factored load · Shear rebar
Input
Serviceability · Crack (SLS)
Output
Check result
O.K — Safe
341.69kN·m
Design moment φMn
345.55kN
Design shear φVn
Tension-controlled
Behavior
ε_t=0.0128
| Check item | Demand | Capacity | Ratio | Verdict |
|---|---|---|---|---|
| Flexure (φMn ≥ Mu) | 250.00 kN·m | 341.69 kN·m | 0.73 | O.K |
| Shear (φVn ≥ Vu) | 180.00 kN | 345.55 kN | 0.52 | O.K |
Flexure utilization Mu/φMn0.73
Shear utilization Vu/φVn0.52
Section
Compression block aTension bar
Teal band = equivalent stress-block depth a = 88 mm · dashed = neutral axis c = 110 mm. 4-D25
Output
Details
- Tension steel A_s
- 2,027 mm²
- Compression steel A_s'
- —
- Stress block a
- 88.3 mm
- Neutral axis c
- 110.4 mm
- Steel ratio ρ
- 0.0094
- Min. steel A_s,min
- 756 mm²
- Nominal moment Mn
- 401.99 kN·m
- Required stirrup spacing
- 1,034 mm
Output
Serviceability · crack check (SLS)
O.K
0.176mm
Crack width w_k
limit 0.3
163.1MPa
Steel service stress f_s
limit 320
9.8MPa
Concrete f_c
limit 16.2
Service moment M_s=160.00 kN·m > cracking moment M_cr=78.6 kN·m → cracked. Crack width 0.176 mm ≤ allowable 0.3 mm.
- Concrete modulus E_c
- 26,702 MPa
- Modular ratio n (effective n_eff)
- 7.49 (7.49)
- Cracking moment M_cr
- 78.6 kN·m
- Cracked-section neutral axis x
- 168.0 mm
- Cracked / gross inertia I_cr / I_g
- 2.733 / 7.200 ×10⁹ mm⁴
- Effective inertia I_e (Branson)
- 3.262 ×10⁹ mm⁴ (I_e/I_g=0.453)
- Immediate deflection δ (L=8,000)
- 12.25 mm (L/653)
- Crack-control bar spacing (prov./allow.)
- 93 / 365 mm → O.K
Save the flexure · shear · serviceability results as CSV (Excel) or PDF.