RC Beam & Slab Capacity Calculator

1 Section Geometry & Reinforcement

Beam/Slab Dimensions

h =mmtotal depth

b =mmwidth

A_g =150000mm²

Reinforcement

c =mmcover

ϕ = mmbar diameter

n =number of bars

A_s =565.5mm²

ρ =0.377%

Figure 1 — Cross-section with reinforcement (interactive)

2 Material Properties

Concrete — C30/37

Class:

f_ck =30MPachar. cylinder strength

γ_c =EN 1992-1-1 Table 2.1N

α_cc =§3.1.6

f_cd =20.00MPa= α_cc·f_ck/γ_c (Eq. 3.15)

Reinforcement — B500

f_yk =MPa

γ_s =EN 1992-1-1 Table 2.1N

f_yd =434.78MPa= f_yk/γ_s (§3.1.7)

3 Bending Moment Capacity — Rectangular Stress Block

Rectangular stress distribution per EN 1992-1-1:2004 §3.1.7(3) — λ = 0.8, η = 1.0 (for f_ck ≤ 50 MPa)

F_s= A_s · f_yd=245.86kN

F_c= F_s=245.86kN

a= F_c / (η·b·f_cd)=40.98mm

x= a / λ=51.22mm

d= h − c − ϕ/2=469.00mm

M_Rd= F_s · (d − a/2)

Figure 2 — Rectangular stress block & internal forces at ULS (interactive)

Bending Moment Capacity

110.27 kN·m

Neutral axis depth ratio x/d

0.109

Reference: EN 1992-1-1:2004 — Eurocode 2: Design of concrete structures — Part 1-1: General rules and rules for buildings

RC Beam & Slab Bending Capacity