Download GTU BE/B.Tech 2019 Winter 7th Sem New 2171916 Applied Mechanics Of Solid Question Paper

Enrolment No.

Subject Code: 2171916

BE - SEMESTER- VII (New) EXAMINATION — WINTER 2019

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Subject Name: Applied Mechanics of Solid

Time: 10:30 AM TO 01:00 PM

Instructions:

1. Attempt all questions.
2. Make suitable assumptions wherever necessary.

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3. Figures to the right indicate full marks.

1. (a) Explain Stress Vector. MARKS 03
   (b) Define: 1) Body forces, 2) Surface forces MARKS 04
   (c) Enlist theory of failures and explain any two. MARKS 07
2. (a) Explain Boundary conditions. MARKS 03
   

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   (b) Explain Yield and Failure criteria. MARKS 04
   (c) Derive equation n² + n² + n² = 1 for Principal stresses. MARKS 07
   OR
   At a point P, the rectangular stress components are sx = 1, sy = -2, sz = 4, txy = 2, tyz = — 3, and txz = 1. All in units of kPa. Find the principal stresses and check for invariance.
3. (a) What is Circular Polariscope? MARKS 03
   

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   (b) Define: Plane stress and plane strain. MARKS 04
   (c) With the help of neat sketch, discuss behavior of Prandit-Reuss under plane stress s_s = [s₁, s₂, s₃]. MARKS 07
   OR
   Elaborate Saint Venant’s Principle.
4. (a) State basic assumptions for the theory of incremental constitutive relation for elastic — plastic material. MARKS 03
   

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   (b) Derive stress distribution using Airy’s stress function in a simply supported beam subjected to pure bending. MARKS 04
   (c) Explain the Principle of virtual work. MARKS 07
5. (a) Explain Hooke’s law for elastic material. MARKS 03
   (b) Derive differential equations of equilibrium for an elastic body. MARKS 04
   (c) Difference between linear and non-linear elastic isotropic stress strain relation. MARKS 07
   

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   OR
   Write down comparison between Tresca and Von-Mises theory (Plane Stress).
6. (a) Explain Normality, Convexity and Uniqueness for an elastic solids. MARKS 03
   (b) Explain stress strain relation for work hardening material. MARKS 04
   (c) State the term Bouschinger Effect for an elasto-plastic material MARKS 07
   

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   OR
   Write a note on Druker’s stability postulate for stability of work-hardening materials.
7. (a) State term associated flow rule benefits compared to non-associated flow rules. MARKS 03
   (b) State the term Kinematic Hardening for an elasto-plastic material. MARKS 04
   (c) Discuss flow rules associated with von Mises yield function for perfectly plastic material. MARKS 07

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Date: 23/11/2019

Total Marks: 70

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