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Theory of Structures

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

1.5
1.4
1.7
1.6

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Theory of Structures
The vertical reaction for the arch is

wa/l
wl/a
wa/2l
wa²/2l

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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)

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

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/3
1/4
1/2
1/8

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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

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

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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

400 mm
300 mm
250 mm
200 mm

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