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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
2M/ T
T/M

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Theory of Structures
A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

13 M
14 M
15 M
16 m

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

150/EIc
200/EIc
50/EIc
100/EIc

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Theory of Structures
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

3
1
2
4

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

3/2
8/5
5/8
2/3

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Theory of Structures
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Q = S × F
Q = S – F
Q = F – S
Q = S + F

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