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Subject Code: 3130608
Enrolment No.
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- III (New) EXAMINATION — WINTER 2019
Subject Name: Mechanics of Solids
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Time: 02:30 PM TO 05:00 PM
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 Define: (1) Rigid body, (2) Newton’s second Law MARKS 03
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Q.2 Define Force and classify the force system with neat sketch. MARKS 04
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Q.3 Find magnitude and direction of resultant of force system shown in Fig.1 MARKS 07
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Q.3 Define Moment & Couple giving two suitable examples MARKS 03
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Q.4 State Hook’s low. Draw stress strain curve for Mild Steel Specimen and explain each point in detail. MARKS 04
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Q.4 A Chord supported at A,B carries a load of 20kN at point C and unknown weight W kN at D as shown in fig 2.Find the value of unknown weight W. So that CD remains horizontal. MARKS 07
OR
Determine Ixx and Iyy for section shown in fig 3 MARKS 07
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Q.5 Define (i) Strain (ii) Poisson’s ratio (iii) Bulk Modulus MARKS 03
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Q.5 Find support reaction for a beam as shown in figure. 4 MARKS 04
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A Reinforced concrete column is applied 700 kN load. Size of column is 300 mm X 400 mm, and it is reinforced with 6 bars of 16 mm dia. Determine load taken by concrete and steel. MARKS 07
OR
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Define (1) Ductile material (2) Compound bar (3) Axial load MARKS 03
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Find support reactions for a beam as shown in figure. 5 MARKS 04
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A 2.8 m long member is 60 mm deep and 40 mm wide. It is subjected to axial tensile force 210 kN. Determine change in dimension and in volume. Take E=200 Gpa and µ = 0.3 Assume Esteel and Econcrete MARKS 07
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Derive the formula for the elongation of a rectangular bar under the action of axial load. MARKS 03
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Explain with neat sketch types of beams, types of loads and types of supports MARKS 04
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A steel rod 25mm in diameter is inserted inside a brass tube of 25mm internal diameter and 35mm external diameter, the ends are rigidly connected together. The assembly is heated by 30°C. Find value and nature of stress developed in both the materials. Take, Esteel = 200GPa, Ebrass =80 GPa, asteel =12 x 10-6 per °C, a brass =18 x 10-6 per °C MARKS 07
OR
Write the assumption made in theory of pure torsion. MARKS 03
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Derive the equation for deformation of a body due to self weight. MARKS 04
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Draw Shear Force and Bending Moment diagram for the beam shown in fig. 6 MARKS 07
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Define: 1)Point of Contra flexure, 2) Shear force MARKS 03
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Derive assumption made in analysis of truss. MARKS 04
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Analysis the truss loaded as shown in figure. 7 MARKS 07
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Date: 5/12/2019
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Total Marks: 70
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Q.5 (a) Write the difference between Truss and frame. MARKS 03
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(b) Explain perfect truss and imperfect truss with the sketches. MARKS 04
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(c) Analysis the truss loaded as shown in figure 8 MARKS 07
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