Strain energy, energy of dilation and distortion, resilience stress due to suddenly applied loads,
Castigliano’s theorem, Maxwell’s theorem of reciprocal deflection

Theories of Failure : Maximum principal stress theory, maximum shear stress theory,
Total strain energy theory, shear strain energy theory,
graphical representation and derivation of equation for each and their
application to problems relating to two dimensional stress systems only.

Leaf spring, deflection and bending stresses; open coiled helical springs;
derivation of formula and application for deflection and rotation of free end
under the action of axial load and/or axial couple; flat spiral springs –
derivation of formula for strain energy, maximum stress and rotation.

Thick Cylinders : Derivation of Lame’s equations, calculation of radial
longitudinal and hoop stresses and strains due to internal pressure in thick
cylinders, compound cylinders, hub shrunk on solid shafts.

Bending of curved beams : Calculation of stresses in crane or chain hooks,
rings of circular section and trapezoidal section and chain links with straight sided

## Advanced Strength of Materials

## Teaching Scheme

## Syllabus: Course content

UnitUnit ContentsCastigliano’s theorem, Maxwell’s theorem of reciprocal deflection

- Lecture Notes

- Lecture Videos

- Tutorials

- Test

- Grades

Total strain energy theory, shear strain energy theory,

graphical representation and derivation of equation for each and their

application to problems relating to two dimensional stress systems only.

- Lecture Notes

- Lecture Videos

- Tutorials

- Test

- Grades

derivation of formula and application for deflection and rotation of free end

under the action of axial load and/or axial couple; flat spiral springs –

derivation of formula for strain energy, maximum stress and rotation.

- Lecture Notes

- Lecture Videos

- Tutorials

- Test

- Grades

longitudinal and hoop stresses and strains due to internal pressure in thick

cylinders, compound cylinders, hub shrunk on solid shafts.

- Lecture Notes

- Lecture Videos

- Tutorials

- Test

- Grades

rings of circular section and trapezoidal section and chain links with straight sided

- Lecture Notes

- Lecture Videos

- Tutorials

- Test

- Grades

with bending stresses, Importance of shear center

- Lecture Notes

- Lecture Videos

- Tutorials

- Test

- Grades

- Lecture Notes

- Lecture Videos

- Tutorials

- Test

- Grades

## Course Calendar