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Theory of Structures

Theory of Structures
In plastic analysis, the shape factor for a triangular section, is

1.5
1.34
2.34
2.5

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.404
0.505
0.303
0.707

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Theory of Structures
In a shaft, the shear stress is not directly proportional to

Length of the shaft
Angle of twist
Modulus of rigidity
Radius of the shaft

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Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

1/7
2/7
4/7
3/7

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Theory of Structures
A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm², the bending strain energy stored in the bar, is

711 N mm
411 N mm
611 N mm
511 N mm

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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
100/EIc
50/EIc

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