SUBJECT - ADVANCED MECHANICS OF SOLIDS
CODE - 09 502
SEMESTER - FIFTH
BRANCH - ME
UNIVERSITY - CALICUT
YEAR - 2012
Part A
Answer all Questions
I.(a) Define principal plane
(b)Explain the significan
(c)Define plane stress.
(d)Explain briefly unsync
(e)What is meant by membrane analogy ?
(5x2=10 marks)
Part B
Answer any four questions,
II.(a)Explain Saint Venanf s principle.
(b)Write down compatibility equations in terms of Airy’s stress function.
(c).What is meant by axisymmetric problems ? Give examples.
(d)Explain the effect of small central hole in a rotating disc.
(e)Explain minimum potential energy theorem.
(f)Explain warping of non circular shaft
Part C
Answer all questions
III.(a) State the condition under which the following is a possible system of strain:
Or
(b) If the displacement field given by vx=k xy, uy=k xy, u2 = 2k (x+y)z where k is a constant, (i) Write down the strain matrix.
(ii) What is the strain in the direction
IV.(a)Derive the Equilibrium equations in polar coordinates.
Or
(b)Derive the expressions for the stresses in a rotating disc.
V.(a) Derive an expression for the strain energy in a cantilever due to bending and shear under concentrated edge load P.
Or
(b) Locate the shear center for a Channel Section.
VI.(a) Show by membrane analogy that a multiply connected section under torsion is much stronger and stiffer compared to a singly connected section of same cross sectional area.
Or
(b) Derive the formula for the stresses and deformations in a thin hollow section under tor using the principle of shear flow.
(4x10=40 marks)
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