A cantilever of length L is subjected to a bending moment M at its free end. If

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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
Options
A.
B.
C.
D.

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1. The general expression for the B.M. of a beam of length l is the beam carries
Options
A. a uniformly distributed load w/unit length
B. a load varying linearly from zero at one end to w at the other end
C. an isolated load at mid span
D. none of these.

2. If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 x 10⁵ N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm², the angle of twist in radians, is
Options
A. 0.001
B. 0.002
C. 0.0025
D. 0.003
E. 0.005

3. Pick up the correct statement from the following:
Options
A. The bending stress in a section is zero at its neutral axis and maximum at the outer fibres
B. The shear stress is zero at the outer fibres and maximum at the neutral axis
C. The bending stress at the outer fibres, is known as principal stress
D. The planes of principal stresses are inclined at 45� to the neutral plane
E. All the above.

5. A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 x 10⁶ N/mm², the deflection of the free end, is
Options
A. 2 mm
B. 3 mm
C. 4 mm
D. 5 mm
E. 6 mm

6. The horizontal thrust on the ends of a two hinged semicircular arch of radius R carrying
Options
A. a uniformly distributed load ? per unit run over its right half span, is
B. a uniformly distributed load ? per unit run over its entire span is
C. a distributed load varying from zero at the left end to ? per unit horizontal run at the right end, is
D. all the above.

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