Strength of Materials MCQs Set-3

1. The bending moment diagram for a cantilever subjected to a couple M at free end will be

2. A steel beam of length 30 m is fixed between two supports at 8°C with no stress. Find the expansion allowances given if the stress in the bar is to be zero when temperature is raised to 50°C ( α= 12 ×10^-6 per °C, E = 2× 10^5 N/mm^2)

3. Beams of uniform strength are better as compared to beams of uniform cross-section as they are economical

4. The type of stresses setup in a rotating shaft due to torsion are

5. A beam when subjected to an axial pull P

6. The bending moment at the free end of a cantilever beam is

7. If load at the free end of the cantilever beam is gradually increased, failure will occur

8. Slope and deflection at a point in a loaded cantilever beam carrying several loads can be found out by the

9. The nature of stress at the inside surface of a crane hook is

10. A long column has maximum crippling load when its

11. In a uniform beam supported at one end in position, the maximum stress under self weight of bar shall occur at the

12. The most economical section of the shaft subjected to torsion is

13. Point of contraflexure in a cantilever of span l, carrying a uniform distributed load, w per metre occurs at

14. If the bending moment is consistent there will be no______________ stresses

15. In a rectangular beam, the maximum shear stress occurs at

16. The principal stresses σ1, σ2 and σ3 at a point respectively are 80 MPa, 30 MPa and -40 MPa. The maximum shear stress is

17. The bending moment on a section is maximum where shearing force is

18. The intensity of stress which causes unit strain is called

19. In a cantilever, maximum deflection occurs, where

20. Euler's formula for a mild steel long column hinged at both ends is not valid for slenderness ratio

21. The shear stress at the centre of a circular shaft under torsion is

22. A cantilever of length L carries a concentrated load w at the mid span. If the free end is supported on a rigid prop the reaction of the prop will be

23. The ratio of maximum shear stress to hoop stress in a thin cylindrical pressure vessel is

24. The intensity of shear stress in a shaft subjected to torsion is maximum at

25. Bending moment at supports in case of simply supported beam is always

26. Rankine's formula for column is valid when slenderness ratio

27. Strength of the beam depends on

28. A beam of 6 m long, simply supported at its end is carrying a point load W at its mid span. If slope at the end is not to exceed 2°, then deflection at mid span will be

29. The bending moment diagram for a simply supported beam loaded in its centre is

30. A simply supported beam AB of span L carries two concentrated load W each at points L/3 from A and B. What is the shear force in the middle one third portion of beam.

31. The bending moment for a certain portion of the beam is constant. For that section, shear force would be

32. A cantilever beam of square section is subjected to a load W at the free end. If the length of the beam is doubled and the load reduced to half the deflection at the free end compared to original deflection would be

33. A continuous beam is one which is

34. In a rectangular beam, when width, depth and length are doubled, the bending stress