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Theory of Structures

Theory of Structures
The locus of reaction of a two hinged semi-circular arch, is

Circle
Straight line
Parabola
Hyperbola

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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
150/EIc
200/EIc
50/EIc

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

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

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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

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

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Theory of Structures
H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon

V = 0
M = 0
All of these
H = 0

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Perry
Straight line formula
Parabolic formula
Rankine

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