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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/5
L/2
L/4

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Theory of Structures
A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm² is:

5.0 mm
5.5 mm
4.5 mm
4.0 mm

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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

0.001
0.003
0.002
0.0025

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²D3n²/d4N
4WD²n/d4N
4W²Dn/d4N
4W²D3n/d4N

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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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Theory of Structures
A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm²), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is

30 N
25 N
35 N
40 N

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