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Theory of Structures

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

0.505
0.707
0.303
0.404

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

E = 2N (1 + 1/m)
(3/2)K (1 – 2/m) = N (1 + 1/m)
All of these
E = 3K (1 – 2/m)

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Theory of Structures
A shaft rotating N.R.M. under a torque T, transmits a power

/30 Newton metres/min
/60 Newton metres/sec
/30 Newton metres/sec
/60 Newton metres/min

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

L
L
2L
L/2

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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

2
1
3
4

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