KTU B.TECH S3 MODELQUESTIONS FOR Mechanics of solid

**SEMESTER III B.TECH DEGREE EXAMINATION**

**Mechanics of Solid
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Max Mark:50 Time 1hrs 30 min

**PART A(Answer all questions)**

- Define the following terms (4 marks)

a) Modulus of Rigidity

b) Bulk Modulus

c)poor resilience

d) Factor of Safety

**2.** Explain the principle of super position (4 marks)

**3.** Explain with neat sketch the Stress Strain diagram for mild steel bar in tension (4 marks)

**4.** Write a short note on thermal stresses (4 marks)

**5.** Derive the relation between modulus of elasticity and Bulk modulus.(4 mark)

**6.** Calculate the minimum wall thickness of thin cylinder 1 m in diameter, if it is to withstand an internal pressure of 200 N/cm∧2 and the longitudinal and hoop stress not to exceeds 3000 N/cm∧2 and 4000 N/cm∧2 respectively.

**7.**Find the Euler’s Critical load for a hollow cylindrical cast iron column of 250 mm external diameter and 30 mm thickness. it is 5 cm long and hinged at bath ends. value of E = 8×10 ∧ 4 N/mm∧2. For what length the critical load by Euler’s and Rankine’s formula be equal. Take Constants ∝= 1/1600 and σ = 600 N/mm∧2

**OR**

**8**. A beam of length 7 m simply supported at the ends A and B is loaded with two point loads of 60kN and 70kN at a distance of 1.2m and 4 m from left end. Determine the position and magnitude of maximum deflection .Take E 2 x 10∧5 N/mm ∧2 and I = 8500 cm∧4

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