I am searching here question paper for Cochin University B.Tech in Mechanical Engineering-5th Sem-Advanced Mechanics of Solids Examination in PDF file format?

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Derive strain-displacement relations and compatibility equations for a two dimensional
condition.

Explain about plain stress and plain strain with the help of examples.
OR
Derive differential equations of equilibrium for two dimensions.
Wing the testing of an automobile using a 60' delta rosette, the following
observations were made.
(i) ~ , = 2 8 0 x 1 0 ~ , ~ = 1 6 0 x 1 0 ~ , E , = - ~ o x ~ o ~
Find the principal strains and maximum shear strain>

Derive an expression for strain components in polar co-ordinates.
A thick cylinder of internal diameter lOOmm and external diameter 200mm is
subjected to an internal pressure of 10~/&. Find the variation of radial stress
and circumferential stress across wall thickness.
OR
Derive an expression for radial and tangential slresses developed in a disk of uniform
thickness with inner radius 'a' and outer radius 'b' rotating with anaogular velocity w.
A steel tube of 300mm outer diameter is to be sluunk on another steel tube of 90mm
internal diameter. After shrinking the diameter of the junction is 180mm. Before
shrinking the difference in the diameter of the junction is 0.12mm. Determine
(i) Shrinkage pressure at interface
(ii) Temperature difference to makethe assembly.
Take E=200GPa, v2.3, a = l 0 ~ 1 0 " ~ e r ' ~ .

Derive Cauchy's stress formulae and hence explain about stress ellipsoid.
Derive the cubical equation for determining principal stresses in a three dimensional
problem.
OR

The state of stress at a point is given as
Find the principal stresses and principal axes.
Explain about the concept of shear centre.
Explain about principle of virtual work and castigliano's theorems.


Cochin University B.Tech ME 5th Sem-Advanced Mechanics of Solids Exam paper




Cochin University B.Tech ME 5th Sem-Advanced Mechanics of Solids Exam paper