Reg No.: Name:
0800ME (1000 T
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
Third Semester B.Tech Degree Examination December 2020 (2019 Scheme)

Course Code: MET201
Course Name: MECHANICS OF SOLIDS
Max. Marks: 100 Duration: 3 Hours
PARTA
Answer all questions. Each question carries 3 marks Marks
1 Why is the stress tensor symmetric? Express the stress tensor (3 X 3) forsimple (3)

axial loading of a rod, with x-axis coinciding with the axis of loading.

دم

What are stress invariants? Why would they remain invariant? (3)
3 Differentiate between engineering-stress-strain curve and true-stress-strain curve (3)
and comment on the applicability of the engineering stress strain curve in the
design of mechanical engineering components.

4 Differentiate between plane-stress and plane-strain by citing suitable example for (3)

each case.
5 State the assumptions involved in deriving Elastic Flexure Formula. (3)
6 ട്രം the assumptions involved in deriving Torsion Formula for circular shafts. (3)
7 Explain point of inflection and point of contraflexure. (3)
8 Make a short note on deflection analysis by Castiglianos’ method. What is the (3)

limitation regarding the material behaviour, while applying this method?
9 Explain the fundamental difference between the deformation behaviour in (i) (3)
bending of beams and (ii) buckling of columns.

10 State yield criterion as per Max. Normal Strain Theory. Why didn’t it get (3)

acceptability?
PART 13
Answer any one full question from each module. Each question carries 14 marks
Module 1

11 (a) If the stress tensor at a point is given by ‏حےہ‎ 0, 0, 6,250, ൩൦10, ൩൧൦ -10, (10)

Ty,=20, find stress invariants, characteristic equation, principal stresses and the
principal plane associated with the maximum principal stress.
(b) If the displacement field is (டு) i+ (1೩೬2) jt (4220 k, obtain the Strain (4)

tensor at (2,1,1).

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