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# ADVANCED MECHANICS OF SOLIDS S4 KTU IMPORTANT QUESTION PAPERS

MODULE-1

ANALYSIS OF STRESS (Give more focus on problems)
Derivation: skip derivations
Problems:

1. Applications of Cauchy’s equation
2. Problems on principal stress and plane
3. Stress transformation
4. Problems on equilibrium equations

Short questions:

1. State of stress at a point (stress tensor)
2. Hydrostatic and deviatoric shear stress
3. Octahedral stress
4. Equality of cross shear

ANALYSIS OF STRAIN (Give more focus on derivations)
Derivations:

1. Stress-strain relationship
2. Strain compatibility equation

Short questions:

1. Analogy b/w stress and strain tensor

MODULE-II

(Give more focus on derivations)
Derivations:

1. Stress compatibility equation in case of plane stress
2. Bending of a cantilever beam with end load
3. Relation between elastic constants: E & K, E & G.

Problems:

1. Problems on bending of cantilever beam

Short questions:

1. Generalized Hooke’s law.
2. Saint Venant’s principle for end effects, Illustrate with an example
3. Boundary condition
4. Uniqueness theorem

MODULE-III

(Give more focus on problems)
Derivation: skip derivations
Problems:

1. Lame’s problem of thick cylinder (to find thickness and stress distribution)
2. Rotating disc problem (solid and hollow disc)

Short questions:

1. Difference between polar coordinates and axisymmetric problems.
2. Stress concentration and stress concentration factor
3. Distribution of stress in a large plate with a small central hole

MODULE-IV

PART-I (Give more focus on problems)
Derivation: skip derivations
Problems:

1. Unsymmetric bending problem. (L section and rectangular section with inclined load)
2. Shear centre problem of open channel sections

PART-II (Problems and derivations are equally important)
Derivation :

1. Derive general equation in terms of load, geometry and material properties of:
a. Axial Force b. Shear Force c. Bending Moment d. Torque

Problems:

1. Strain energy of a cantilever beam ( with point load and UDL or both)
2. Strain energy of Simply supported beam ( with point load and UDL or both)
3. Deflection of a bracket with end load.

MODULE-V

PART-I (No derivations)

Short questions:

1. Castigiliano’s first and second theorem
2. Maxwell reciprocal theorem
3. Minimum potential Energy theorem

Problems:

1. Application Castigiliano’s theorem
2. Application minimum potential energy theorem

PART-II (Derivation only)

1. Saint Venant’s theory for
a. Circular section b. Elliptical Section

MODULE-VI

PART-I (More focus on derivations)
Derivations:

1. Prandtl’s method for
a. Circular section b. Elliptical Section

Short questions:

1. Membrane Analogy

PART-II (More focus on problems)
Problems:

1. Torsion of thin walled tube with single and multiple closed sections

Derivation:

1. Thin rectangular section