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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

0.303
0.404
0.505
0.707

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Theory of Structures
A shaft subjected to a bending moment M and a torque T, experiences

Both A and B
Maximum bending stress = 32M/πd³
Maximum shear stress = 16 T/πd³
Neither A nor B

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Theory of Structures
A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be

4p/a²
3p/a²
2p/a²
p/a²

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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

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

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Theory of Structures
Maximum principal stress theory for the failure of a material at elastic point, is known

St. Venant's theory
Rankine's theory
Guest's or Trecas' theory
Von Mises' theory

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Theory of Structures
The equivalent length is of a column of length having both the ends fixed, is

l
L
L/2
2 L

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