Download GTU BE/B.Tech 2017 Winter 7th Sem New 2171916 Applied Mechanics Of Solid Department Elective I Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-VII (NEW) EXAMINATION — WINTER 2017

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Subject Code: 2171916 Date:02/11/2017
Subject Name: Applied Mechanics of Solid(Department Elective - I)
Time: 10:30 AM TO 01:00 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.

MARKS

Q.1 (a) Enlist theory of failures and explain any one. 03
(b) Define: 1) Body forces, 2) Surface forces 04

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(c) Explain Mohr’s circle diagram for principal stresses. 07

Q.2 (a) Explain Boundary conditions. 03
(b) What is Recapitulation? Explain in brief. 04
(c) Derive equation of Principal stresses in 2D. 07
OR

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(c) The state of stress at a point is such that 07
Ox =0y =0, =Tyy = Ty, = Trx = P
Determine the principal stresses and their directions.

Q.3 (a) Elaborate Octahedral Shearing stress theory in theory of 03
failures.

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(b) State basic assumptions for the theory of incremental 04
constitutive relation for elastic — plastic-material.
(c) With the help of neat sketch, discuss behavior of Prandit- 07
Reuss under plane stress σ_ij = [0, 0, σ₃₃].
OR

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Q.3 (a) What is Circular Polariscope? 03
(b) Define: Plane stress-and plane strain. 04
(c) Derive stress distribution using Airy’s stress function in a 07
simply supported beam subjected to pure bending.

Q.4 (a) State compatibility equations if body forces are constant. 03

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(b) Difference between linear and non-linear elastic isotropic 04
stress strain relation.
(c) Explain Normality, Convexity and Uniqueness for an 07
elastic solids.
OR

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Q.4 (a) Explain Hooke’s law for elastic material. 03
(b) Derive the equation of stress of thick pressure vessels 04
only subjected to internal pressure.
(c) Explain the Principle of virtual work and prove the 07
relation for elastic solids.

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Q.5 (a) State term associated flow rule benefits compared to non- 03
associated flow rules.
(b) State the term Bouschinger Effect for an elasto-plastic 04
material
(c) Discuss flow rules associated with von Mises yield 07

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function for perfectly plastic material.
OR

Q.5 (a) State the term Hardening for an elasto-plastic 03
material.
(b) State the term Kinematic Hardening for an elasto-plastic 04

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material.
(c) Write a note on Druker’s stability postulate for stability 07
of work-hardening materials.

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