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Torque about a Point

A propped can...

Question

A propped cantilever of span 4 m is fixed at A and propped at B. The beam carries a UDL of 1 t/m over the entire span. The reaction at B is

A

2.5t

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B

2t

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C

1t

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D

1.5t

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Solution

The correct option is D 1.5t
Vertical downward deflection due to UDL = Upward deflection due to reaction at B

$\frac{w L^{4}}{8 E I} = \frac{R_{B} L^{3}}{3 E I}$

$R_{B} = \frac{3}{8} w L$

$= \frac{3}{8} \times 1 \times 4 = 1.5 t$

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