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Question

A beam of uniform flexural rigidity supports a set of loads as shown in figure below.


What is the value of W if the magnitude of bending moment at midspan and at support of the beam are numerically equal?

A
20 kN
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B
40 kN
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C
60 kN
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D
80 kN
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Solution

The correct option is B 40 kN
(b)
Since the beam is symmetrically loaded, hence the vertical reaction.

R=W2+10

Bending moment at support

=(W2+10)×210×4

= W + 20-40 = -20

Bending moment at support

=10×2= 20 kNm

But bending moment at mid span and at support are numerically equal.

W20=20=40 kN

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