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Theory of Structures

Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/12
1/8
1/16
1/10

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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

0.303
0.404
0.707
0.505

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Theory of Structures
Total strain energy theory for the failure of a material at elastic limit, is known

Guest’s or Trecas’ theory
Haig’s theory
St. Venant’s theory
Rankine’s theory

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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 rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

100 N/mm 2
150 N/mm²
80 N/mm²
120 N/mm²

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

1
2.5
1.5
1.25

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