Questions on Torsion 1. Explain St.Venant’s Theory using a suitable example of torsional problem. 2. Establish the torsional moment carrying capacity of an equilateral triangle cross sectional bar. 3. Explain the difference in behavior of a circular shaft and straight bars under torsion. Hence explain saint venants Semi inverse method. Apply the same to an elliptical cross section and obtain shear stress and displacements in the cross section. 4. How is membrane analogy applied to a problem of torsion in non-circular shafts, evaluate shear stress in a narrow rectangular section and apply the same to twist in rolled profiled steel sections. 5. Explain soap film method 6. Explain briefly Torsion of hollow shaft 7. Explain membrane analogy .Apply this analogy to the problem of bar of narrow rectangular section subjected to torsion and calculate the stresses. 8. Explain Saint Venants semi inverse method for evaluation of torsion in prismatic shafts. Hence calculate torsional moment and shear stresses in terms of stress function. 9. Torsion of thin tubes & Hollow sections 10. Using saint venant semi inverse method for the problem of Torsion of straight bars derive the solution. 11. a)Define warping.
1. Explain St.Venants Theory using a suitable example of
torsional problem.2. Establish the torsional moment carrying
capacity of an equilateral triangle cross sectional bar.3. Explain
the difference in behavior of a circular shaft and straight bars
under torsion. Hence explain saint venants Semi inverse method.
Apply the same to an elliptical cross section and obtain shear
stress and displacements in the cross section. 4. How is membrane
analogy applied to a problem of torsion in non-circular shafts,
evaluate shear stress in a narrow rectangular section and apply the
same to twist in rolled profiled steel sections. 5. Explain soap
film method 6. Explain briefly Torsion of hollow shaft 7. Explain
membrane analogy .Apply this analogy to the problem of bar of
narrow rectangular section subjected to torsion and calculate the
stresses.8. Explain Saint Venants semi inverse method for
evaluation of torsion in prismatic shafts. Hence calculate
torsional moment and shear stresses in terms of stress function.9.
Torsion of thin tubes & Hollow sections 10. Using saint venant
semi inverse method for the problem of Torsion of straight bars
derive the solution.11. a)Define warping. b) Derive the equations
for twisting moment and shear stresses in straight bars of
non-circular cross sections. Hence evaluate the same for an
elliptical cross section. 12. Explain membrane analogy for torsion
of prismatic shafts. Hence obtain solution to the problem of
torsion. Hence obtain solution to the problem of a bar with narrow
rectangular cross section. 13. Derive the saint venants solution to
the problem of Torsion in straight bars and apply this solution to
a bar with elliptical cross section.14. State and explain saint
venants semi inverse method for prismatic bars under torsion. Hence
arrive at shear stress and torque values in terms of stress
function . Applying the same to a bar of elliptic c/s obtain
distribution of shear stress in the c/s and warping displacement in
c/s.15. Derive the saint venants solution to the problem of Torsion
in straight bars and apply this solution to a bar with circular
cross section.16. Explain saint venant torsion for elliptical cross
section and torsion of thin walled tubes.
