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Theory of Structures

Theory of Structures
In plastic analysis, the shape factor for a triangular section, is

2.5
1.5
2.34
1.34

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

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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
25 N
40 N
30 N

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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

7500 N/m²
75 N/m²
75000 N/m²
750 N/m²

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL²/2EI
WL3/3EI
WL3/2EI
WL²/3EI

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

(3/2)K (1 – 2/m) = N (1 + 1/m)
All of these
E = 2N (1 + 1/m)
E = 3K (1 – 2/m)

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