GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

Question : 15 of 65

Marks: +1, -0

A weightless cantilever beam of span

{L}

is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross section is rectangular with constant width.

From the flexure-critical perspective, the most economical longitudinal profile of the beam to carry the given loads amongst the options given below, is

Validate

Solution:

M A+P(L)-(P L)=0

M A=0

As bending moment at A is zero and keeps on increasing linearly till point B, we need stronger section at B as compared to what we need at A.

Suitable option (D)

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