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Theory of Structures

Theory of Structures
The ratio of maximum and average shear stresses on a rectangular section, is

2.5
1.25
1
1.5

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

Rankine's theory
St. Venant's theory
Guest's or Trecas' theory
Haig's theory

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

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Theory of Structures
The vertical reaction for the arch is

wa²/2l
wa/l
wa/2l
wl/a

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Theory of Structures
For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

30°
60°
45°
90°

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Theory of Structures
In a shaft, the shear stress is not directly proportional to

Radius of the shaft
Modulus of rigidity
Length of the shaft
Angle of twist

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