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00000ME201121903

Derive the relation connecting bending moment and bending stress for a beam
subjected to pure bending. State all assumptions.
PART C

Answer any four full questions, each carries 10 marks.
Discuss on stress transformation.
Determine the equation of deflection curve for a cantilever beam subjected to a
uniform distributed load of q per unit length.
A simply supported beam of span 10 m carries a uniformly distributed load of 5
kN/m over a length of 5 m from the centre to the right end. Calculate the
deflection at the centre and slope at the right end. The beam has a rectangular
cross section of height 200 mm and width 100 mm. Take E as 205 GPa.
At a point in a material, the stresses on two mutually perpendicular planes are
120 N/mm? and 40 N/mm? both tensile. The shear stresses across these planes is
40 N/mm’. Determine the principal stresses. Locate the principal planes and
determine the normal and shear stresses on a plane inclined at 45 degrees in
anticlockwise direction from the major principal plane.
Derive Euler’s buckling load for a slender column with one end fixed and other
end hinged.
A solid shaft of 150 mm diameter is transmitting a torque of 120kNm.At the
same time it is subjected to abending moment of 12kNm and an axial thrust of
200KN. Find the maximum & minimum Principal stresses developed at the
extreme fibre along vertical axis.
Define slenderness ratio and explain its significance.
The external and internal diameter of hollow cast iron column is 50111 and 4cm
respectively. If length of this column is 3m and both of its ends are fixed,
determine the crippling load using Rankine’s formula. Take 6,=550N/mm/and

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