# [MOS] MECHANICS OF SOLIDS MODULE 3 AND 4 S3 KTU IMPORTANT QUESTIONS FOR KTU STUDENTS [SECOND YEAR] | QUESTION BANK

## 1[MOS] MECHANICS OF SOLIDS IMPORTANT QUESTIONS

## MODULE 3 AND 4

1. Define bending moment and shear force.

2. Define point of contraflexure and flexural rigidity

3. Explain the use of shear force and bending moment diagrams.

4. Explain the asssumptions made in the simple theory of bending.

5. What you mean by beams of uniform strength.

6. What is pure bending. Sketch a loading which causes pure bending in a simply supported beam.

7. Explain briefly bending stress distribution.

8. Define modulus of section. Explain the method of its derivation.

9. Define the section modulus. Derive the expression for rectangular cross section.

10. State and explain the theory of bending.

11. What do you mean by shear centre. Explain briefly its significance.

12. Derive the relationship between intensity, shear force and bending moment.

13. Draw the shear force and bending moment diagram for a cantilever of length L carrying a udl of ‘w’ per meter length over its entire length.

14. A beam of length L carries a udl and on two supports. How far from ends must the support be placed, if the greatest BM is to be as small as possible.

15. Draw the shear force and bending moment diagram for a cantilever of length L carrying a udl of ‘w’ per meter length acting over the half span from the free end.

16. Draw the bending moment diagram for a cantilever beam with uniformly varying load with intensity zero at the fixed and w at the free end.

17. A simply supported beam of span L carries a clockwise moment M at centre. Draw the BMD.

18. Derive the equation of pure bending of beam.

19. Derive the expression for the maximum shear stress in a circular section of radius R where F = shear force.

20. Obtain analytically the shear stress distribution of rectangular beam cross section.

21. Prove that the maximum shear stress in a circular section is 4/3 times the average stress.

22. Prove the maximum shear stress in rectangular cross section is 1.5 times the average shear stresses.

23. Obtain the expression for the shear stress at neutral axis for a triangular section with the base b and height h.

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