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Design The slab for a room of size 44m×5m with two adjacent edges discontinuous. The slab panel is subjected to live load 3.5kN/m2 and floor finish load 1kN/m2 apart from its self wt.

Use Fe415 steel and M20 grade concrete. Use following BM coefficient. Negative moment at continuous

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Short span Long span
0.0625 0.047

Positive moment at midspan

Short span Long span
0.037 0.037

Assume beam width (b) = 230mm

lylx=5+0.234+0.23=5.234.23=1.23<2

Therefore, it is a two way slab

d=short effective span(S/D ratio×M.F)

dr=423026×1.4=116.2=125

D=dr+d=125+25=150mm

Load Calculation

D.L=D×25=0.15×25=3.75kN/m2

L.L=1kN/m2

F.F=1kN/m2

Total=8.25kN/m2

Factoredload(wd)=8.25×1.5=12.375=12.375kN/m

+ve BM(Mux=axwdlx2=0.037×12.7×4.232

(Mux)+ve=8.19lNm


(Mux)ve=axwd(lx)2=0.0625×12.37×4.232

(Mux)ve=13.83kNm


(Muy)ve=aywd(lx)2=0.047×13.37×4.232

(Muy)ve=10.41kNm


(Mumax=0.138fckbd2=0.138×20×1000×1252

=43.125kNm>[(Mux)+ve(Muy+ve(Muxve(Muyve

Therefore Safe.

(Astx)+ve=0.5×20×1000×125415×[114.6×8.19×10620×1000×1252]

=187.39mm2188mm2


(Astx)ve=0.5×20×1000×125415×[114.6×13.83×10620×1000×1252]

=324mm2

Assume 8mm ϕ bars ϕx=ϕy=8dy=ddx2dy2

=1258282=117mm

(Asty)+ve=0.5×20×1000×117415×[114.6×8.19×10620×1000×1172

=201mm2

(Asty)ve=0.5×20×1000×117415×[114.6×10.41×10620×1000×1172

=258mm2

Astmin=0.12bd100=0.12×1000×150100

180mm2<[(Astx)=ve,(Astx)ve,(Asty)+ve,(Asty)ve]

Therefore Safe.

  • Main steel in x-direction (8mmϕ) spacing +ve = 1000×π/4×82188=267.37250mm

Spacing -ve = 1000×π/4×82324=155.14150mm

  • Main steel in y-direction (8mmϕ) spacing +ve = 1000×π/4×82201=250.07225mm

Spacing -ve = 1000×π/4×82258=194.82175mm

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