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B B4B142

Reg. No. Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FOURTH SEMESTER B.TECH DEGREE EXAMINATION, MAY 2017

Course Code: ME202
Course Name: ADVANCED MECHANICS OF SOLIDS (ME)

Max. Marks: 100 Duration: 3 Hours

PART A
Answer any three questions.

1. The stress tensor at a point is given by the following matrix

50 -20 ‏لد‎
‎-20 20 1 kPa.
40 10 30 1

5 1 ⋅ ⋅ ⋅ ⋅
Determine the stress gna plane whose unit normal has direction cosines ‏.ل‎ and

2. Displacement field for a 2D plane strain case is given as,
=[( + Jt€ + 90۵

a) Find components of strain at point (2,4) (3)
b) Write strain compatibility equations for a general 3D problem (2)
c) Simplify the compatibility equations, for 2D plane strain problem, with proper
justification, and check compatibility of the given ಜ್‌ field. (5)
3. a) State and explain Saint Venant’s principle for end effects with a suitable example.(5)
b) State and prove uniqueness theorem in theory of elasticity. (5)
4. Stress components at a point P in a plane stress problem are,
= 150 , = -100 & =50
Find values of all principal strains and it directions at point P. Take the value for

5210 & 50.25 (10)

PART B
Answer any three questions.

5. Derive equations of equilibrium for an axisymmetric problem. (10)

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