9 · Member Design

Limit state design to IS 456:2000. Every number below is worked out from your inputs — the formula, the substitution and the result are all shown so you can check them by hand.

11 checks fail. Read the advice on the failing member and increase the section on step 3, or reduce the span by adding a bay.

Slab panels

IS 456 Table 26 — restrained two-way slabs
Thickness
125.00mm
Effective depth d
101.00mm
Cover
20.00mm
Table 16
Max moment
5.94kNm/m
Ast required
150.00mm²/m
Ast minimum
150.00mm²/m
Cl. 26.5.2.1
Main steel
8 @ 300mm c/c
Distribution steel
8 @ 300mm c/c
Ast provided
167.55mm²/m
Actual span/d
29.70
Cl. 23.2.1
Allowable span/d
35.78
OKSection is adequate.

Design moments

Table 26 coefficients αx, αy
Mx negative (support)
5.94kNm/m
Mx positive (mid span)
4.46kNm/m
My negative (support)
4.84kNm/m
My positive (mid span)
3.60kNm/m
Panel A1-B2: lx 3.00 m, ly 3.50 m, β 1.17, two-way, Table 26 case 4.

Working — slab

step by step
  1. 1Effective depth d = h − cover − φ/2
    = 125 − 20 − 8/2
    101 mm
    IS 456 Cl. 26.4.2
  2. 2Aspect ratio β = ly / lx
    = 3.50 / 3.00
    1.17 → two-way
    IS 456 Cl. 24.4
  3. 3Moments M = α · wu · lx²
    = αx⁻=0.058, αx⁺=0.043, αy⁻=0.047, αy⁺=0.035; wu=11.44 kN/m², lx=3.00 m
    Mx⁻=5.94, Mx⁺=4.46, My⁻=4.84, My⁺=3.60 kNm/m
    IS 456 Table 26, case 4
  4. 4Ast = (0.5 fck/fy)·[1 − √(1 − 4.6 Mu/(fck b d²))]·b·d
    = Mu=5.94 kNm/m, fck=25, fy=500, b=1000, d=101
    150 mm²/m (min 150)
    IS 456 Cl. 38.1 / G-1.1, min Cl. 26.5.2.1
  5. 5Spacing s = area of one bar × 1000 / Ast, s ≤ min(3d, 300)
    = 50 × 1000 / 150, cap 300
    φ8 @ 300 mm c/c → Ast prov 168 mm²/m
    IS 456 Cl. 26.3.3
  6. 6Deflection (l/d) actual ≤ basic × kt
    = 29.7 ≤ 20 × 1.79
    35.8 → OK
    IS 456 Cl. 23.2.1
Built-up105.0 m²Columns11Governing column264 kNConcrete38.2 m³Steel2.30 t11 checks need attention

Preliminary design aid. Not a substitute for analysis and detailed design by a licensed structural engineer. Does not include detailed seismic design to IS 13920, soil investigation, or statutory compliance.