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Theory of Structures

Theory of Structures
For beams of uniform strength, if depth is constant,

Width b 1/M
Width b 3 M
Width b M
Width b M 2

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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

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

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Theory of Structures
The greatest load which a spring can carry without getting permanently distorted, is called

Proof resilience
Proof load
Proof stress
Stiffness

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

L
L/2
2 L
l

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

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

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Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/3) A
(1/18) A
(1/12) A
(1/6) A

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