Strength of Materials MCQs Set-3

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

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

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

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

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

6. 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

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

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

9. 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)

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

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

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

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

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

15. A long column has maximum crippling load when its

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

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

18. In a cantilever, maximum deflection occurs, where

19. 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

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

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

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

23. 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

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

25. A beam when subjected to an axial pull P

26. A continuous beam is one which is

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

28. Strength of the beam depends on

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

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

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

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

33. 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.

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