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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

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

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML/2EI
ML/EI
ML²/2EI
ML²/3EI

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

L/2
L
S
2L

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Theory of Structures
The yield moment of a cross section is defined as the moment that will just produce the yield stress in

The outer most fibre of the section
The inner most fibre of the section
The fibre everywhere
The neutral fibre of the section

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/4
1/8
1/2
1/3

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Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD² + mbd²)/6D]
BD² + mbd²)/4D]
BD³ + mbd³)/6D]
BD² + mbd³)/4D]

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