B $2054 Pages: 3

Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FOURTH SEMESTER B.TECH DEGREE EXAMINATION, DECEMBER 2018
Course Code: ME202
Course Name: ADVANCED MECHANICS OF SOLIDS (ME)
Max. Marks: 100 Duration: 3 Hours

PART A Answer any three questions. Each question carries 10
marks.

1 The state of stress at a point is characterised by the components, (10)

Ox 012.31,0 Oy 8.96,0 0.4.34,0 Oxy4.20,0 Oyz5.27,0 Ox. 0.84MPa.

Determine the values of principal stresses and maximum shear stress.
2 a) State St. Venant’s principle for end effects. (3) b) Write down the generalized

Hooke’s law for a linear elastic isotropic material (3)
c) What is meant by octahedral plane? (2)
d) What 15 plane stress? (2)
3 a) Ifthe displacement field is given byU O(x2Oy)i 0 063 211109 [2 171
(5)

Write down the strain tensor at the point (3,2,-1)

b) Corresponding to the above, determine the strain in the direction (5)

1
nxOOOnny ‏سو‎ V3
4 a) Investigate whether the following polynomial is permissible as an Airy’s stress (6)
function

பப AQOOxy2 0 34757830. If permissible, derive the expressions for stress.

b) Write a note on stress transformation. (4)
PART 8
Answer any three questions. Each question carries 10 marks
5 a) What is meant by shear centre? (3) b) Explain the term “complementary
strain energy” (3)
b) Give the expressions for strain energy due to torsion (4)

6 a) Write down the differential equation of equilibrium in polar co-ordinate (5) system
in 2-dimensions.
b) What are the initial assumptions taken while solving problems of rotating (5) circular
discs

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