A cantilever of length is subjected to a bending moment at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is_________________?

Related Mcqs:

1. The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is_____________?

   A. WL²/2EI

   B. WL²/3EI

   C. WL3/2EI

   D. WL3/3EI

2. The maximum deflection due to a uniformly distributed load w/unit length over entire span of a cantilever of length l and of flexural rigidly EI, is_________________?

   A. wl3/3EI
   B. wl4/3EI
   C. wl4/8EI
   D. wl4/12EI

3. 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 × 106 N/mm2, the deflection of the free end, is________________?

   A. 2 mm
   B. 3 mm
   C. 4 mm
   D. 5 mm

4. The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is______________?

   A. WL3/3EL
   B. WL3/8EL
   C. WL3/24EL
   D. WL3/48EL

5. A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is____________________?

   A. M/T
   B. T/M
   C. 2M/ T
   D. 2T/M

6. Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then________________?

   A. M/I = R/E = F/Y
   B. I/M = R/E = F/Y
   C. M/I = E/R = E/Y
   D. M/I = E/R = Y/F

7. The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is_________________?

   A. WI/2
   B. WI²/4
   C. WI²/8
   D. WI²/12

8. A shaft subjected to a bending moment M and a torque T, experiences__________________?

   A. Maximum bending stress = 32M d3
   B. Maximum shear stress = 16 T d3
   C. Both A. and B.
   D. Neither A. nor B.

9. If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm2) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is_________________?

   A. 0.001
   B. 0.002
   C. 0.0025
   D. 0.003

10. 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________________?

    A. 1/8
    B. 1/10
    C. 1/12
    D. 1/16