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Theory of Structures

Theory of Structures
In plastic analysis, the shape factor for a triangular section, is

1.34
1.5
2.34
2.5

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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

45°
90°
30°
60°

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

8/5
3/2
2/3
5/8

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

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

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

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Theory of Structures
In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/3
L/4
L/5
L/2

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