Theory of Structures

141. A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

1. wa/27
2. wa²/27
3. w²a/√27
4. wa²/9√3

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142. The vertical reaction for the arch is

1. wa/2l
2. wl/a
3. wa/l
4. wa²/2l

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143. An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is

1. Wa/h
2. Wa/2h
3. 2W/ha
4. 2h/Wa

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144. For the close coil helical spring of the maximum deflection is

1. WD³n/d⁴N
2. 2WD³n/d⁴N
3. 4W²D³n/d⁴N
4. 8WD³n/d⁴N

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145. The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

1. WI/2
2. WI²/4
3. WI²/8
4. WI²/12

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146. For beams of uniform strength, if depth is constant,

1. Width b ∝ M
2. Width b ∝ M
3. Width b ∝ 3 √M
4. Width b ∝ 1/M

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147. A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

1. WL/2AE
2. WL/AE
3. W²L/AE
4. W²L/2AE

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148. The maximum deflection due to a uniformly distributed load w/unit length over entire span of a cantilever of length l and of flexural rigidly EI, is

1. wl₃/3EI
2. wl₄/3EI
3. wl₄/8EI
4. wl₄/12EI

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149. The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

1. WL²/2EI
2. WL²/3EI
3. WL3/2EI
4. WL3/3EI

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150. The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

1. WL³/3EL
2. WL³/8EL
3. WL³/24EL
4. WL³/48EL

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