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Theory of Structures

Theory of Structures
For beams of uniform strength, if depth is constant,

Width b M 2
Width b 1/M
Width b 3 M
Width b M

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Theory of Structures
A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

WL/AE
W²L/AE
WL/2AE
W²L/2AE

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Theory of Structures
The ratio of maximum and average shear stresses on a rectangular section, is

1.25
1
2.5
1.5

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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

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

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²Dn/d4N
4W²D3n/d4N
4W²D3n²/d4N
4WD²n/d4N

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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

0.505
0.707
0.404
0.303

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