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Theory of Structures

Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/8
1/12
1/10
1/16

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Theory of Structures
Inertia of a rectangular section of width and depth about an axis passing the moment of through C.G. and parallel to its width is

BD³/12
BD³/6
B²D/6
BD²/6

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Theory of Structures
For beams of uniform strength, if depth is constant,

Width b 1/M
Width b M 2
Width b 3 M
Width b M

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Theory of Structures
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

WL3/48EL
WL3/8EL
WL3/3EL
WL3/24EL

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Theory of Structures
The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

1/2
2
1
1/4

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Theory of Structures
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Q = S – F
Q = F – S
Q = S × F
Q = S + F

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