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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/3
L/2
L/5
L/4

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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°
45°
90°

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Theory of Structures
The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

WI/2
WI²/12
WI²/4
WI²/8

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Theory of Structures
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is

0.002
0.003
0.001
0.0025

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Theory of Structures
A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm², the bending strain energy stored in the bar, is

711 N mm
611 N mm
511 N mm
411 N mm

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

l
2 L
L
L/2

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