GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- I & II (SPFU) EXAMINATION - WINTER 2019
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Subject Code: ENG004 Date: 02/01/2020
Subject Name: Mechanics Of Solids
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
- Attempt any five questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 (a) Define Force and classify the force system with neat sketch. 07
(b) Draw bending moment diagram and shear force diagram for a simply 07 supported beam of length ‘L’, subjected to udl of ‘w” kN/m throughout the length and ‘W’ at the center of a beam.
Q.2 (a) 1) Define : Angle of Repose. 07
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i1) State and explain the Laws of Static friction.(b) Derive the relation between shear force and bending moment. 07
Q.3 (a) Define: (i) Vector quantities (ii) Resolution of force (iii) Couple 07
(b) An M. S. bar of 25 mm diameter and change in length is 0.1 m acted upon by a 07 tensile force of 100 kN. If the length of bar is 1.2 m and modulus of elasticity is 2.0 X 10° N/mm². Find stress, strain and elongation of the bar.
Q.4 (a) For a bar shown in figure.l find the diameter of the middle portion, if the stress 07 at that location is to be limited to 140 N/mm². Also find the total change in the length of the bar. E =2 X 10°N/mm²
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(b) Determine the support reactions of a cantilever beam having length ‘L’ 07 subjected to point load ‘W’ at the tip and “W/2’ at the center of a beam.
Q.5 (a) Determine the horizontal force required to cause the motion of the block 07 weighing 550N as shown in fig.2. Take µ= 0.55.
a. To impend:-the motion downward.
b. To impend up the plane.
(b) State the condition of equilibrium for Co-planner force system. 07
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Q.6 (a) Find out centroid of thin homogeneous wire as shown in figure 3. 07
(b) Derive relation between bulk modulus (K), Poisson’s ratio (1/m), and modulus 07 of elasticity (E).
Q.7 (a) Draw the Shear force and Bending Moment diagram of Beam given in Fig. 4 07
(b) 1) Define: Coefficient of Static Friction and state the Laws of Friction. 07
i1) Define: 1]Point of Contra flexure, 2] Shear force
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