Download JNTUK M-Tech 2020 R19 Civil 1101 Theory Of Elasticity Model Question Paper

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I M. Tech I Semester (R19) Regular Examinations

Theory of Elasticity

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(Structural Engineering)

MODEL QUESTION PAPER

TIME: 3 Hrs. Max. Marks: 75

Answer ONE Question from EACH UNIT

All questions carry equal marks

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UNIT - 1

1. a). Write short notes on Generalized Hooke’s law. (7 Marks)
   b). Derive expressions for stress at a point. (8 Marks)

OR

2. a). Derive differential equations of equilibrium for rectangular plate. (7 Marks)
   

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   b). Derive expressions for compatibility for a two dimensional problems. (8 Marks)

UNIT - II

1. a). Explain Saint Venant’s principle ? (7 Marks)
   b). Derive an expression for bending of a cantilever loaded at the end (8 Marks)

OR

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2. Explain the application of frier series for two dimensional problems? (15 Marks)

UNIT - III

1. Derive the general equation in polar coordinates (15 Marks)

OR

2. Discuss the effect of a circular hole on the stress distribution in a rectangular plate subjected to tensile stress in x-direction and hence evaluate the stress concentration factor (15 Marks)

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UNIT - IV

1. Derive the system of ‘equations generally sufficient for determining the stress components. (15 Marks)

OR

2. Write a short note on
   1. Principle of superposition (8 Marks)
   2. Uniqueness of solution (7 Marks)

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UNIT - V

1. a). Explain the analogy of torsion (7 Marks)
   b). Explain with an example solution of torsional problems by energy method (8 Marks)

OR

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2. Derive an expression for stretching a prismatic bar under its own weight (15 Marks)

CO: Crse Outcome

KL: Knowledge Level

M: Marks

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