If the sides of a slab simply supported on edges and spanning in two directions are equal, the maximum bending moment is multiplied by

If the sides of a slab simply supported on edges and spanning in two directions are equal, the
maximum bending moment is multiplied by

(A) 0.2

(B) 0.3

(C) 0.4

(D) 0.5

The correct Answer Is
(D) 0.5
 

Sharman

Senior Member
If the sides of a slab simply supported on edges and spanning in two directions are equal, the
maximum bending moment is multiplied by
(D) 0.5
 
option d
explanation:
since the case is that of a simply supported slab so using the RANKINE GRASHOFF theory we have maximum short span moment =(r^4/(1+r^4)x( wl^2/8) .here the term wl^2/8 is actually the maximum moment since both the spans are same. so the coefficient of this maximum moment =r^4/(1+r^4), putting the value of r=1(coz both the spans are same) we get:
1^4/(1+1^4) = 1/2=0.5. hence the answer is 0.5 which is multiplied to the maximum bending moment.
 
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