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## Prove that thickness of a disc of uniform strength is given by

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Where t0 is the thickness at r = 0

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## A cubical element is subjected to the following state of stress.

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Assuming the material to be homogeneous and isotropic, determine the principal shear strains and the octahedral shear strain, If and v= 0.25

## The following state of strain exists at a point P

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Determine the principal strains and the directions of the maximum and minimum principal strains.

## The Following displacement filed is imposed on a body

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Consider a point P and a neighbouring point Q whree PQ has the folowing direction cosines.

nx = 0.200, ny = 0.800, nz = 0.555

Point P has coordinates (2,1,3). If . Find the components of P'Q' after deformation.

## In a triaxial stress system, the six components of the stress point are given below.

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Find the magnitude of three principal stresses.

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