APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

FIRST SEMESTER M.TECH DEGREE EXAMINATION, DECEMBER 2015
Civil Engineering

(Structural Engineering)

OICE6103 Theory of Elasticity

Max. Marks : 60 Duration: 3 Hours
(Answer any out of Three questions from each part)

PART Each question carries 9 marks )

1) At a point in an elastic body subjected to loading the stress components is given by,

15 10 5
[൭]-|10 25 0 |MPa
5 0 20

Determine the normal and shear stress components on an inclined plane where nomal is
equally inclined to the three coordinate axes x, y, 2.

2) Determine the set of body forces that will keep the following stress field in equilibrium.
©= 81 2. 748x227 +6$2 2

= 1505412073 +6y'z 7—5x *yz

5
T = 6x 79 2-0 3+ 4x 3 ४+ 39 7
3) Given the state of stress at a point in a loaded continuum as:

[61-652 Mpa Determine the principal strain and principal directions.
3
324

Poissons ratio is 0.25, modulus of elasticity is 2 x 10° MPa.