Download PTU B.Tech 2020 March AE 3rd Sem BTAE 301 Mechanics Of Materials Question Paper

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Roll No. [ ] [ ] [ ] [ ] Total No. of Pages : 02
Total No. of Questions : 09

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INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.

SECTION-A

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1. Answer briefly :
   1. Define shear stress and shear strain.
   2. What is Hooke's law and up to what limit is it valid?
   3. What will be the change in the modulus of elasticity of a material when stress is doubled, and the load is increased by a factor of 4, the area remains the same?
   4. What do you mean by free expansion?
   5. Define point of contraflexure.

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   6. What is the relationship between shear force and bending moment?
   7. What is the modulus of rigidity?
   8. State the maximum principal stress theory.
   9. Write the limitations of Euler’s theory?
   10. What are thick and thin cylinders?

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SECTION-B

2. Derive the relationship for expansion due to self-weight in a bar of tapering section.
3. A copper rod, 25 mm diameter is encased in a steel tube 30 mm internal diameter and 35 mm external diameter. The ends are rigidly attached. The composite bar is 500 mm long and is subjected to an axial pull of 30 kN. Find the stresses induced in the rod and the tube. Take E for the steel =2 x 10⁵ N/mm² and E for copper as 1 x 10⁵ N/mm².
4. A piece of material is subjected to three perpendicular tensile stresses. The strains in three directions are in the ratio of 3:4:5. If the Poisson’s ratio is 0.286, find the ratio of the stress and their values if the greatest is 60 N/mm².

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5. A beam ABCD 20 m long is loaded as shown in the figure given below. The beam is supported at B and C and has an overhang of 2 m to the left of the support B and an overhang K meters to the right of support C which is in the right-hand half of the beam. Determine the value of K if the mid-point of the beam is the point of inflexion and for this arrangement plot B.M. and S.F. diagrams.
   
   

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