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States of Equilibrium

Two wheel loa...

Question

Two wheel loads 10 kN and 30 kN space 5 m apart are moving on a over hanging beam as shown in figure. Maximum reaction is

A

58 kN

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B

70 kN

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C

46 kN

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D

50 kN

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Solution

The correct option is B 70 kN
Reaction at 'C' is maximum, because length of overhang is maximum. Draw the ILD for the $R_{C}$ and place the load on the higher ordinate. We will get the maximum reaction.

$M a x i m u m r e a c t i o n a t C = 10 \times 1 + 30 \times 2$
$= 70 k N$

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