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Theory of Structures

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/5
L/2
L/3
L/4

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Theory of Structures
A two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to ? per unit run at the right end. The horizontal thrust is

ωl²/4h
ωl²/12h
ωl²/16h
ωl²/8h

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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

60°
30°
90°
45°

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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 shaft subjected to a bending moment M and a torque T, experiences

Maximum shear stress = 16 T/πd³
Neither A nor B
Both A and B
Maximum bending stress = 32M/πd³

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Theory of Structures
A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 × 106 kg/cm², the side of the rod, is

2 cm
2.5 cm
1.5 cm
1 cm

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