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Theory of Structures

Theory of Structures
A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

T/M
2T/M
2M/ T
M/T

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

Parabola
Ellipse
Circle
Straight line

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Straight line formula
Perry
Parabolic formula
Rankine

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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

0.003
0.0025
0.002
0.001

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Theory of Structures
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

1
1.5
2
3

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Theory of Structures
Total strain energy theory for the failure of a material at elastic limit, is known

Rankine’s theory
St. Venant’s theory
Haig’s theory
Guest’s or Trecas’ theory

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