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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

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

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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

250 mm
300 mm
200 mm
400 mm

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Theory of Structures
For beams breadth is constant,

Depth d 3
Depth d 1/M
Depth d M
Depth d

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Theory of Structures
The stiffness of the close coil helical spring is

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

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = h/l² × (1 – x )
y = 2h/l² × (1 – x)
y = 4h/l² × (1 – x)
y = 3h/l² × (1 – x)

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Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

2L
L/2
L
L

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