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Theory of Structures

Theory of Structures
The ratio of maximum shear stress to average shear stress of a circular beam, is

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

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML/EI
ML²/3EI
ML/2EI
ML²/2EI

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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
120 N/mm²
80 N/mm²

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Theory of Structures
At yield point of a test piece, the material

Undergoes plastic deformation
Obeys Hooke’s law
Regains its original shape on removal of the load
Behaves in an elastic manner

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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

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

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

4.125 cm²
2.125 cm³
1.125 cm³
3.125 cm³

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