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Theory of Structures

Theory of Structures
In case of a simply supported I-section 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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Theory of Structures
The stiffness of the close coil helical spring is

d4N/8D3n
d4N/4D3n
4D3N/d4n
8D3N/d4n

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

wa/27
wa²
w²a
wa²/27

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Theory of Structures
The locus of the moment of inertia about inclined axes to the principal axis, is

Ellipse
Parabola
Straight line
Circle

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

2.5
1.25
1.5
1

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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

300 mm
250 mm
200 mm
400 mm

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