Theory of Structures

111. A material may fail if

1. Maximum pricipal stress exceeds the direct stressσ₀
2. Maximum strain exceeds σ₀/E
3. Maximum shear stress exceeds σ₀/2
4. All the above

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112. 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

1. ML/EI
2. ML/2EI
3. ML²/2EI
4. ML²/3EI

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113. Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly proportional to

1. Modulus of rigidity
2. Angle of twist
3. Reciprocal of the length of the shaft
4. Moment of inertia of the shaft section

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114. The ratio of shear stress and shear strain of an elastic material, is

1. Modulus of Rigidity
2. Shear Modulus
3. Modulus of Elasticity
4. Both (a) and (b)

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115. Principal planes are subjected to

1. Normal stresses only
2. Tangential stresses only
3. Normal stresses as well as tangential stresses
4. None of these

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116. At yield point of a test piece, the material

1. Obeys Hooke's law
2. Behaves in an elastic manner
3. Regains its original shape on removal of the load
4. Undergoes plastic deformation

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117. 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

1. p/a²
2. 2p/a²
3. 3p/a²
4. 4p/a²

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118. Stress may be expressed in Newtons

1. Per millimetre square (N/mm²)
2. Per centimetre square (N/cm²)
3. Per metre square (N/m²)
4. None of these

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119. If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

1. Q = S + F
2. Q = S - F
3. Q = F - S
4. Q = S × F

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120. Shear centre of a half circular section of radius 'r' and of constant thickness, lies at a distance of 'x' from the centre where ''x is

1. r/π
2. 2r/π
3. 3r/π
4. 4r/π

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