300+ TOP Shear Force & Bending Moment MCQs and Answers

Shear Force & Bending Moment Multiple Choice Questions

1. For the shafts having square cross sections, the maximum shear stress occurs at a point

a. on the edge of the cross section that is closest to the centre axis of the shaft.

b. on the diagonal of the cross section that is far to the centre axis of the shaft.

c. on the diagonal of the cross section, at half the edge length from the centre axis of the shaft.

d. on the diagonal of the cross section, at one. fourth of diagonal length from the centre axis of the shaft.

2. Shear centre is the point in or outside a section through which the shear force applied produces____________

a. only twisting

b. only bending

c. twisting and bending

d. no twisting and no bending

3. Which of the following statements is not applicable to Unit Load Method?

a. External and internal forces are in equilibrium

b. The structure is determinate

c. The material is strained well within elastic limit

d. The structure is redundant

4. Theory of simple bending is derived for the condition when beam is subjected to _______ .

a. Shear force and bending moment

b. Shear force only

c. Bending moment only

d. Torsion only

5. Slope deflection method is suitable for analysis of

a. Continuous beam

b. Simply supported beam

c. Fixed beam

d. Cantilever beam

6. If a simply supported beam of span 4 m is subjected to terminal couple of 4 kN. m at both the ends, then the magnitude of the central deflection would be

a. 4/EI

b. 8/EI

c. 2/EI

d. 16/EI

7. Under uniaxial loading, the maximum shear stress is ____________ times the uniaxial stress

a. 0.5

b. 2

c. 1.5

d. 3

8. For a cantilever beam of span L carrying uniformly distributed load, w on its entire span, the maximum bending moment is ______.

a. WL2/ 2

b. WL /2

c. WL4/ 2

d. WL8/ 2

9. Macaulay’s method is particularly suitable for beams subjected to _______ loads.

a. Point

b. Distributed

c. Varying

d. None of the above

10. A fixed beam of uniform section is carrying a point load at its mid. span. If the moment of inertia of the middle half. length is reduced to half its previous value, then the fixed end moments will

a. Increase

b. Decrease

c. Remain unchanged

d. Change their direction

11. A doubly reinforced beam is considered as less economical as compared to a singly reinforced beam because

a. The depth of section is small

b. Concrete is under. stressed

c. Compressive steel is under. stressed

d. Tensile steel is under. stressed

12. In simply supported beam of rectangular cross section, the bending stress is ____ and shear stress is ____ at neutral axis.

a. Zero, Maximum

b. Maximum, Zero

c. Zero, Zero

d. Maximum, Maximum

13. The Clapeyron’s theorem is used for analysis of _______.

a. Two hinged arch

b. Fixed beam

c. Continuous beam

d. Thin cylinders

14. The ratio of maximum bending stress to maximum shear stress on the cross. section when a shaft is simultaneously subjected to torque T and bending moment M is

a. T/M

b. M/T

c. 2T/M

d. 2M/T

15. Which of the following represents the bending at a section of the beam?

a. EI (d4y/dx4)

b. EI (d3y/dx3)

c. EI (d2y/dx2)

d. EI (dy/dx)

16. For Rectangular section of simply supported beam the maximum shear stress (Tmax) is………times average shear stress (Tavg).

a. 1.3

b. 1.0

c. 1.5

d. 2.0

17. The first derivative of deflection at any point on a beam defines _______ at that location.

a. Slope of the beam

b. Bending moment of beam

c. Shear force of the beam

d. Load intensity of beam

18. The deflection of the free end of a cantilever of span L having a point load W at the mid. span is

a. WL3 /3EI

b. 5WL3 /24EI

c. 5WL3 /48EI

d. WL3 /24EI

19. If the magnitude of shear force is constant, then the magnitude of the slope of bending moment curve is

a. zero

b. increasing

c. decreasing

d. constant

20. In case of rolled steel beam, shear force is mainly resisted by ______

a. Web

b. Flange

c. Web and flange

d. Weld

21. Moment of resistance of a beam at any section _______ with _______ in flexural rigidity

a. Increases, decrease

b. Decreases, increase

c. Increases, increase

d. Constant, increase

22. Slope at the supports of a simply supported beam of span L with a uniformly distributed load of intensity w is

a. wL3 /12EI

b. wL3 /24EI

c. wL3 /48EI

d. wL3 /96EI

23. Moment area method is best suitable for finding

a. Slope & deflection of cantilever beam

b. Slope & deflection of continuous beam

c. Deflection of simply supported beam

d. Slope of fixed beam

24. The design bending strength of laterally unsupported beam is governed by _________.

a. Lateral torsional buckling strength

b. Yield stress of material

c. Type of loading

d. Type of support

25. In a cantilever beam loaded by point load at its free end, the slope at free end will be

a. Zero

b. Maximum

c. Minimum

d. Neither zero nor maximum

26. Ratio of maximum shear stress to average shear stress is 4/3 in a ___________ section

a. rectangular

b. triangular

c. circular

d. hexagonal

27. In moment area method the slope of real beam at a section is represented by

a. Bending moment of M/EI diagram

b. Shear force of M/EI diagram

c. Total area of M/EI diagram

d. Area of Shear Force Diagram of real beam

28. The shape of bending stress diagram across a given cross section is

a. Linear with zero values at top and bottom edges

b. Linear with maximum values at top and bottom edges

c. Parabolic with zero values at top and bottom edges

d. Parabolic with maximum values at top and bottom edges

29. If the actual beam has fixed end, the corresponding condition of Conjugate beam will be

a. Simply supported end

b. Free end

c. Fixed end

d. Internal hinge

30. The nature of shear stress distribution in a rectangular beam is

a. elliptic

b. parabolic

c. linear

d. uniform

31. A fixed or clamped support in real beam becomes…………in conjugate beam.

a. Free

b. Remains fixed

c. Hinge

d. Roller

32. The effective length of column with both ends fixed shall be equal to

a. One half of actual length

b. Equal to actual length

c. Twice of actual length

d. 1.414 times of actual length

33. In case of a beam subjected to uniformly distributed load, the rate of change of bending moment is _______.

a. Slope

b. Deflection

c. Shear force

d. Intensity of loading

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