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Theory of Structures

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

Ellipse
Circle
Straight line
Parabola

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Theory of Structures
The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)

An isolated load at mid span
A load varying linearly from zero at one end to w at the other end
A uniformly distributed load w/unit length
None of these

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Theory of Structures
The moment of inertia of a triangular section (height h, base b) about its base, is

bh²/12
bh³/12
b²h/12
b³h/12

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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

40 N
25 N
30 N
35 N

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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/2
L/5

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Theory of Structures
A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be

2p/a²
p/a²
3p/a²
4p/a²

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