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Theory of Structures

Theory of Structures
The equivalent length of a column of length L, having both the ends hinged, is

2L
S
L/2
L

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Theory of Structures
A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

14 M
15 M
13 M
16 m

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Theory of Structures
A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

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

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²D3n²/d4N
4WD²n/d4N
4W²Dn/d4N
4W²D3n/d4N

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Theory of Structures
The assumption in the theory of bending of beams is:

Material is isotropic
Material is homogeneous
All of these
Young’s modulus is same in tension as well as in compression

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Theory of Structures
A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be

2p/a²
3p/a²
4p/a²
p/a²

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