Expression for strain energy, Mechanical Engineering

Expression for strain energy:

Derive an expression for strain energy because of torsion.                                         

Sol.: The work done in straining shaft within elastic limit is called as strain energy. Consider a shaft having diameter D, and Length L, subjected to gradually applied torque T. Let θ be angle of twist. Energy is stored in shaft because of this angular distortion. This is called as torsional energy or Torsional resilience.

Torsional energy or strain energy = Work done by the torque = average torque X angular twist.

384_Expression for strain energy.png

Thus; Strain energy per unit volume is 1/4th  ratio of square of shear stress to modulus of rigidity. For the hollow shaft: U = [ τ2.(D2  + d2)/4.G.D2].Volume of shaft

For the Solid shaft (d = : U = [ τ2/4.G].

Volume of shaft

For very thin hollow shaft (d = 0): U = [τ2/2.G].Volume of shaft

 

Posted Date: 10/23/2012 2:35:10 AM | Location : United States







Related Discussions:- Expression for strain energy, Assignment Help, Ask Question on Expression for strain energy, Get Answer, Expert's Help, Expression for strain energy Discussions

Write discussion on Expression for strain energy
Your posts are moderated
Related Questions
The Mechanical Engineer/Specialist shall be responsible for coordinating project issues related to stress analysis, as they relate to his/her equipment, with the Stress Engineer/Sp

what do you mean by law of belting and also explain the crowning of pulleys ?

1 A hydraulic pump generates 240W and supplies hydraulic fluid at a rate of 5.1l/min to a linear actuator which has a bore size of 50 mm and a double piston rod diameter of 20mm. I

Induction Pressure Welding In this process, the current is induced by high frequency induction process in the job. Due to electrical induction the job is heated. When a suitabl

Abrasive Machining Processes Such machining processes are precision machining processes. They generate work-piece surfaces along with a high degree of surface smoothness and d

(a) Differentiate between carnot Heat pump and carnot Heat engine. What is the basic cycle for a carnot Heat pump ? Explain it. (b) A reversible heat engine delivers 0.6 K at po

Determine maximum stress and modulus of elasticity:  A composite of glass fibres and epoxy has all of fibres laid along the length and is needed to carry a stress of 12 MPa. T

Employability skills required for effective employment


Q. What is Transfer molding? Transfer molding was developed largely to avoid the disadvantages found which compression molding. • Transfer molding can make intricate or quit