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
Potential energy (PE) The energy possessed by body or system by virtue of its position above the datum level. The work done is because of its falling on earth's surface. Po

how do I learn how to present velocity and acceleration diagram from a free space diagram

Draw schematic diagram of a position control system using armature controlled DC Servo motor. Graph the signal flow graph and hence calculate the closed loop transfer function.

what is correction couple&why it is needed

Generation of Continuation It is assumed that a partial schedule (which may be empty schedule) is given. For this partial schedule, a number of possible continuations is genera

Explain the Single Cast Component Auger Material for Single Cast Component Auger: Either Ni-Cr or Cast iron Length of components: 1250 mm. Outer Diameter of Auger compone

Carburettor Cleaning:  Carburettor needs to be cleaned otherwise the jets may get clogged which may supply an inadequate amount of air fuel mixture. Inadequate amount of air fuel

Explain the Bar and Rod Drawing - cold drawing processes In case of bar drawing, hot drawn bars are at first pickled, washed and coated to prevent oxidation. Once it's done

1. Produce the SW parts for the lugs, connector and tubes. Produce an assembly to FIT at the designated points. 2. Create your own, individual, blank, customised drawing te

Phase 1 Initially ALL Valves A, B, C, D, E and F are closed.  ALL Tanks A, B, C, D, E are separated and each sealed from the atmosphere. Tank E initially has 2' of air @