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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

## The figure shows a simply supported beam having span 4m and loaded at an angle 30° to the vertical. The magnitude of load is 2kN. Modulus of elasticity (E) of beam is 210 GPa. Evaluate the stress at point A and B.

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Marks : 8 ## Show that the shear centre for the section shown in figure is at e = 4R/π measured from point O.

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Marks : 3 ## 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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