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Theory of Structures

Theory of Structures
A three hinged arch is generally hinged at its supports and

At the crown
None of these
Anywhere in the rib
At one quarter span

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Theory of Structures
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

0.207
0.407
0.508
0.307

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Theory of Structures
The stiffness of the close coil helical spring is

4D3N/d4n
d4N/8D3n
8D3N/d4n
d4N/4D3n

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

4.125 cm²
2.125 cm³
3.125 cm³
1.125 cm³

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Theory of Structures
The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)

A uniformly distributed load w/unit length
An isolated load at mid span
None of these
A load varying linearly from zero at one end to w at the other end

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

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