Find out ratio of strain-energy, Mechanical Engineering

Find out ratio of strain-energy:

A circular rod of diameter d and length l is fixed at one end and a torque T applied at the other. Now, if any close coiled helical spring is built of the same rod & applied same moment T around the axis, find out ratio of strain-energy stored.

E = 200 GPa; G = 80 GPa.

Solution

Circular Rod

J = 2I

θ= Tl  / GJ

U1 = T 2 l  / 2 GJ =        T l /  4 G I                        ------------- (1)

Helical Spring

φ= M l/ E I = T l/ E I

U 2  = (½) M φ = T 2 l / 2 E I                            -------------. (2)

U1 /U2  =   E/ 2 G =   200 / (2 × 80) = 1.25

Posted Date: 1/21/2013 1:22:55 AM | Location : United States







Related Discussions:- Find out ratio of strain-energy, Assignment Help, Ask Question on Find out ratio of strain-energy, Get Answer, Expert's Help, Find out ratio of strain-energy Discussions

Write discussion on Find out ratio of strain-energy
Your posts are moderated
Related Questions
Definition of stepped pulley

Determine the maximum permissible axial load: In an open coiled spring of 10 coils the stresses because of bending and twisting are 120 N/mm 2 and 150 N/mm 2 respectively wh

example on operation sheet?

a) Illustrate principal of magneto hydro dynamic system (MHD) with diagram? b) a thermal power plant has two 60 MW units each running for 8000hrs and one 30MW unit running for 2

Geometric modeling is an integral part of any Computer-Aided-Design (CAD) system. A geometric model is defined as the complete representation of graphical and non-graphical informa

Part Contact States The loading, movement and unloading of parts via the manufacturing system should be scheduled through supervisory computer. In contrast along with classical

(a) A 50 mm dia. jet having a velocity of 18 m/sec. impinges without shock on a flat plate inclined at an angle to the axis of jet. If the plate is moving at 5 m/sec in the directi

(a) Can you explain limitations of Euler's theory (b) Derive a mathematical expression to determine the crippling load of a column with on end fixed and other end hinged (c)

Ceramic Tools Aluminium oxide or Al 2 O 3 is pressed and sintered in a powder metallurgy method in various shapes of cutting edges that are fastened to mechanical shanks. The

Q. What do you mean by Thermosetting plastics? This plastic undergoes a number of chemical changes on heating and cure to infusible and practically insoluble articles. The chem