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N/mm”. Also find change in diameter. E = 210 GPa; Poisson’s ratio = 0.3.

At point in an elastic material under strain, there are normal stresses of 60
MN/m/*(tensile) and 35 MN/m?(compressive) respectively at right angles to each
other with a shearing stress of 25 MN/m’. Find the principal stresses and position
of principal planes. Find also the maximum shear stress and its plane.

State the two theorems of determining beam deflections by moment area method.
Determine the ratio of buckling strength of two columns one hollow and other
solid, both are made of same material and have equal length, cross sectional area
and same end conditions. Internal diameter of hollow column is half the external
diameter.

Differentiate between long column and short column.

Derive Rankine’s formula for finding the critical load of columns.

A cantilever of length 3 m is carrying a UDL of 10 kN/m over a length of 2 m
from fixed end. Find the maximum slope and deflection. Assume EI = 4 x 1012

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