GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-III (NEW) EXAMINATION — SUMMER 2019
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Subject Code: 2130003 Date: 01/06/2019Subject Name: Mechanics of Solids
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
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2. Make suitable assumptions wherever necessary.3. Figures to the right indicate full marks.
Q.1 (a) Explain with suitable figure. 03
(a) Types of support,
(b) Types of load,
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(c) Types of beam. (b) Differentiate between following : 04
1) Co-planar & Non coplanar force system
2) Concurrent & Non concurrent force system
3) Resolution & composition of force
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4) Resultant & Equilibrant (c) A hollow mild steel cylinder 4 meter long, 300 mm outer diameter 07
and thickness of metal 50 mm is subjected to central load on the
top when standing straight. The stress produced is 80000 kN/ m². Assume Young’s modulus for mild steel as 2.0 x105 N/mm² and
Find (i) magnitude of the load , (ii) longitudinal strain produced and (iii) total decrease in length.
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Q.2 (a) State and explain Varignon’s theorem. 03
(b) Derive relation between the rate of loading, shear force and 04
bending moment.
(c) A bar of 20 mm diameter is subjected to a pull of 50kN. The 07
measured extension on gauge length of 250 mm is 0.12 mm and
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change in diameter is 0.00375 mm. Calculate:(1) Young’s modulus- (ii) Poisson’s ratio and
(iii) Bulk modulus. And define bulk modulus & volumetric strain
OR
(c) Locate centroid of following composite line segments as shown in fig: 07
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