Mechanics Of Solid - Civil Question Bank

Mechanics Of Solid 
Civil Engineering 
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PART A – (5 x 2 = 10 Marks)
1. State bulk modulus.
2. What are the types of elastic constants?
3. State the relationship between young’s modulus and modulus of rigidity
4. When will you call a cylinder as thin cylinder?
5. Write the expansion for longitudinal stress in thin cylinder due to internal pressure (p)

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PART – B [16+16+8=40 Marks]
6 (a)
A rod of length 1 m and diameter 20 mm is subjected to a tensile load of 20 kN. The
increase in length of the rod is 0.30 mm and decrease in diameter is 0.0018 mm.
Calculate the Poisson’s ratio and three moduli.
(b) A steel tube of 30 mm external diameter and 25 mm internal diameter encloses a
gunmetal rod of 20 mm diameter to which it is rigidly joined at each end. The
temperature of the whole assembly is raised to 150°C. Find the intensity of stress in
the rod when the common temperature has fallen to 20°C. The value of the young’s
modulus for steel and gunmetal are 2.1 x 105 N/mm2 and 1 x 105 N/mm2, respectively.
The coefficient of linear expansion for steel is 12 x 10-6/°C and for gunmetal is 20 x10-
7 (a)
Derive the relationship between modulus of elasticity (E) and modulus of rigidity (G).
b) A hollow cylindrical drum of 750 mm in diameter and 2.5 m long has a shell
thickness of 10 mm. If the drum is subjected to an internal pressure of 2.6 N/mm 2,
1. Change in diameter
2. Change in length
3. Change in volume
Take E=2.1 x 105 N/mm2 and Poisson’s ratio=0.3
8 (a) A thin cylindrical shell of 400 mm in diameter has shell thickness of 6 mm subjected
     to an internal pressure which produces a strain of 1/2000 in diameter. Calculate the
    internal pressure and corresponding hoop and longitudinal stresses. Take E=2.1x105
   N/mm2 and young’s modulus=0.26
(b) A thin cylindrical pipe of internal diameter 1.5 m contains a fluid at a pressure of 1.87
   N/mm2. Determine the thickness of the pipe wall if the hoop and longitudinal stresses
  in pipe material are not to exceed 60 N/mm2 and 46 N/mm2, respectively.

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