Download AKTU B-Tech 3rd Sem 2018-2019 Mechanics Of Solids Rme 303 Question Paper

SECTION A

I. Attempt all questions in brief. 2 x 7 = 14

1. a. Differentiate between the terms section modulus and flexural rigidity.
2. b. What do you understand by autofrettage? Explain it in brief.

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3. c. Analytically differentiate between bending of straight and curved beam.
4. d. Differentiate between strain energy and shear strain energy.
5. e What is the difference in analysis of closed and open coiled springs.
6. f. Define shear center and its importance.
7. g. Explain slenderness ratio and its importance in case of column.

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SECTION B

Attempt any three of the following: 7 x 3 = 21

1. a) A beam ABCDE is continuous over four supports and carries the loads shown in figure given below. Determine the values of the fixing moments at each support.
   
2. b) Derive the differential equation of deflection curve
3. c) A close coiled helical spring is fixed at one end and subjected to axial twist at the other. When the spring is in use the axial torque varies from 0.75 N-m to 3 N-m, the working angular deflection between these torques being 35°. The spring is to be made from rod of circular section, the maximum permissible stress being 150 MN/m². The mean diameter of the coils is eight times the rod diameter. Calculate the mean coil diameter, the number of turns and the wire diameter.

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4. d) The load to be carried by a lift may be dropped 10 cm on to the floor. The cage itself weighs 100 kg and is supported by 25 m of wire rope weighing 0.9 kg/m, consisting of 49 wires each 1.6 mm diameter. The maximum stress in the wire is limited to 90 N/mm² and E for the rope is 70000 N/mm². Find the maximum load which can be carried.
5. e) A timber beam 6 cm wide and 8 cm deep is to be reinforced by bolting on two steel flitches, each 6 cm by 5 mm in section in the following cases:
   i. flitches attached symmetrically at top and bottom:
   ii. flitches attached symmetrically one on each side:
   Take allowable timber stress as 8 N/mm². What is the maximum stress in the steel in each case? Take Esteel = 210 kN/mm², Etimber = 14 kN/mm²

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SECTION C

3. Attempt any one part of the following: 7x1=7

1. (a) A steel tube of 24 mm external diameter and 18 mm internal diameter encloses a copper rod 15 mm diameter to which it is rigidly attached at each end. If, at a temperature of 10°C there is no longitudinal stress, calculate the stresses in the tube and rod when the temperature is raised to 200°C.
   Esteel = 210 kN/mm² Ecopper = 210 kN/mm²
   Coefficients of linear expansion:
   Asteel = 11 x 10-6 °C Acopper = 11 x 10-6/°C

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2. (b) A small block is 40 mm long, 30 mm high and 5 mm in thick. It is subjected to uniformly distributed tensile forces having the resultant values in N shown in figure. Compute the stress components developed along the diagonal AC.
   

4. Attempt any one part of the following: 7x1=7

1. (a) A solid circular shaft of length 3 m and diameter of 50 mm rotates at 1200 rpm by a 400 HP electric motor at its middle. It derives two machines of 150 HP and 250 HP at left and right ends of the shaft, respectively. Determine the maximum shear stress and relative displacement of the two ends of the shaft. Take G-85 GPa
2. (b) Determine the deflection of the beam at midpoint for the beam loading system shown in the figure given below.
   

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   Take: E = 200 GN/m² and 1=83 x 10º m4.
   
   

   This download link is referred from the post: AKTU B-Tech Last 10 Years 2010-2020 Previous Question Papers || Dr. A.P.J. Abdul Kalam Technical University