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Theory of Structures

Theory of Structures
The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

WI/2
WI²/4
WI²/12
WI²/8

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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

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

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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

p/a²
4p/a²
2p/a²
3p/a²

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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
3.125 cm³
1.125 cm³
2.125 cm³

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Theory of Structures
A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm²), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is

35 N
30 N
25 N
40 N

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

L/2
L
2L
S

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