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Theory of Structures

Theory of Structures
The moment of inertia of a triangular section (height h, base b) about its base, is

b³h/12
bh²/12
bh³/12
b²h/12

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Theory of Structures
P = 4π² EI/L² is the equation of Euler's crippling load if

Both the ends are fixed
Both the ends are hinged
One end is fixed and other end is free
One end is fixed and other end is hinged

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Theory of Structures
There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of

None of these
1 : 1½ : 2
2 : 1½ : 1
1 : 1 : 2

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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
w²a
wa²/27
wa/27

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML/2EI
ML²/2EI
ML²/3EI
ML/EI

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Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD² + mbd³)/4D]
BD² + mbd²)/4D]
BD² + mbd²)/6D]
BD³ + mbd³)/6D]

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