Shape of ILD for Reaction in Simply Supported Beam is

Answer: B. Triangular

The shape of ILD for maximum bending moment in a simply supported beam is triangular.

Solution

Influence line diagram represents the variation of any stress function (Reaction, shear force, bending moment, and deflection) at a specified point in a member as a concentrated unit force moves along the member.

R_L = [(L-x)×1]/L  (Reaction at the left support)

R_R =   (x×1)/L      (Reaction at the right support)

Bending moment at c

M_c = x×(L-x)/L

For each arbitrary value of x, the maximum value of BM will be right under the load itself, which will be triangular in shape.

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