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Theory of Structures

Theory of Structures
The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

F/2A
F/A
3F/2A
2F/3A

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Theory of Structures
Maximum principal stress theory for the failure of a material at elastic point, is known

Guest's or Trecas' theory
Rankine's theory
Von Mises' theory
St. Venant's theory

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Theory of Structures
A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

(L/3d)²
L/d
(L/2d)²
L/2d

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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

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

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

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Theory of Structures
In the truss, the force in the member AC is

t compressive
8.75 t tensile
6.25 t compressive
t tensile

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