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Theory of Structures

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

WL²/2EI
WL²/3EI
WL3/2EI
WL3/3EI

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

2/3
3/2
8/5
5/8

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Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

2/7
4/7
1/7
3/7

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Theory of Structures
Stress may be expressed in Newtons

Per millimetre square (N/mm²)
None of these
Per centimetre square (N/cm²)
Per metre square (N/m2)

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Theory of Structures
A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is

(1 – g/f)/A
[W (1 + f/ G)]/ A
[W (2 + f/G)]/A
[W (2 + g/f)]/A

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Theory of Structures
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

wa²
wa²/27
wa/27
w²a

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