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Theory of Structures

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

BD²/6
BD³/6
B²D/6
BD³/12

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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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Theory of Structures
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

3
1.5
2
1

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Theory of Structures
The vertical reaction for the arch is

wa/l
wa²/2l
wl/a
wa/2l

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Theory of Structures
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

75000 N/m²
750 N/m²
75 N/m²
7500 N/m²

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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

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

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