Properties of Matter - Elasticity: Important part‒B questions

IMPORTANT PART‒B QUESTIONS

ANNA UNIVERSITY EXAM PART‒B QUESTIONS

1. Explain with necessary theory, the determination of Young's modulus of elasticity of the material of a beam, supported at its ends and loaded in the middle.

2. What is cantilever ? Obtain an expression for the depression at the loaded end of a cantilever whose other end is fixed assuming that its own weight is not effective in bending.

3. How will you determine the Young's modulus of a material of a bar by non‒uniform bending method? Explain in brief the theory behind the determination of Young's modulus.

4. Describe an experiment to determine the Young's modulus of a beam using bending of beams?

5. Derive an expression for the internal bending moment of a beam in terms of radius of curvature.

6. A circular and a square cantilever are made of same material and have equal area of cross‒section and length. Find the ratio of their depressions for a given load.

7. Derive an expression for depression at the free end of a cantilever, due to load. Describe an experiment to determine the Young's modulus of the cantilever material using this expression.

8. What is cantilever? Derive an expression for the depression at the free end of a cantilever when the other end is rigidly fixed (assume the weight of the cantilever is negligible).

9. (i) Derive an expression for depression at the free end of cantilever due to load.

 (ii) Give an account of I‒Shape Girders

10. Derive an expression for the depression of cantilever at a distance X from the fixed end loaded at its free end, neglecting the mass of cantilever.

11. (i) Derive an expression for the depression produced at the free and of a cantilever due to the load.

(ii) Give reasons why the cross‒section of girders are I‒shaped and made of steel.

12. Derive the expression for the Young's modulus of a catilever beam and explain the experiment to determine the Young's modulus of a cantilever beam.

13. Derive an expression for the deflection produced at the free end of a rectangular cantilever subjected to point load at free end. What will be the deflection produced at the free end, with same load, if the cantilever is of circular cross section.

ADDITIONAL IMPORTANT PART‒B' QUESTIONS

1. Write a short note on stress strain diagram.

2. Explain the factors affecting elasticity.

3. How will you classify three types of elastic modulii? Explain.

4. Derive the relation between three modulii.

5. What is meant by bending of beams? Derive the expression for bending moment for rectangular and circular cross sections.

6. What is meant by cantilever? Derive the expression for the depression produced due to a load hanging at the end of cantilever beam.

7. How will you find Young's modulus of a beam using cantilever method?

8. Explain how Young's modulus can be found by using non‒uniform bending method.

9. Write short notes on I‒Shaped girders & its applications in bridges and buildings.