No. of Pages: 2

AP] ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER M.TFCH DEGREE EXAMINATION, DECEMBER 201 7

Branch. Civil Engineering

Stream: Structural Engineering

OICE6103 Theory of Elasticity

Answer any two full questions from each part
Limit answers to the required points.

Max. Marks: 60 Duration: 3 hours
PARTA

a. Define stress ellipsoid and stress director surface 2

0. Explain the state of pure shear with anexample 2

©. For the given state of stress, determine the principal stresses and their 5

0 1 1
[०,|=|। 0 1
directions ‏ا‎ 1 ۸6۵
2. a. Explain Strain deviator and strain invariants. 3
b. 125 6

The strain tensor at a point ina body is given by€:i-2 3 104
5 45 Determine

(a) octahedral normal and shearing strains. (b) Deviator and Spherical stram

tensors.
3. Write noteson 3x3
(i) Traction boundary conditions
(ii) Significance of compatibility equations
(iii) Mohr's circle for three - dimensional state of stress
PART 8
4. 2. Differentiate between plane stress and plane strain problems 4