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020004 0204052001

PART 1
Answer any three full questions. Each question carries 10 marks.

A cantilever beam ACB supports two concentrated loads P and Mo as shown in the

figure.

Calculate deflection at point C and angle of rotation at point B using dummy load
method.
What is Maxwell’s reciprocal deflection theory, explain with example.
What is Betti’s law theory, explain with example.
Derive an expression for maximum compressive stress acting on a beam column
which is pinned at both ends.
Draw the Euler’s curve of a beam column for different eccentric ratio
Explain how inelastic buckling is differ from elastic buckling?
Explain tangent modulus theory of inelastic buckling using Euler’s curve.
Explain why Initial curvature leads to an eccentric effect to the column.
PART C
Answer any four full questions. Each question carries 10 marks.
Explain maximum distortion energy theory?
Derive failure criteria according to maximum distortion energy theory.
Draw the failure surface of maximum distortion energy theory
The state of stress at critical point of a prismatic circular bar in rectangular

coordinate system is given below.

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