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Theory of Structures

Theory of Structures
A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

T/M
2T/M
2M/ T
M/T

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

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

100/EIc
50/EIc
200/EIc
150/EIc

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Theory of Structures
Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then

M/I = R/E = F/Y
I/M = R/E = F/Y
M/I = E/R = F/Y
M/I = E/R = Y/F

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Theory of Structures
Stress may be defined as

None of these
Force per unit volume
Force per unit length
Force per unit area

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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

25 N
35 N
30 N
40 N

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