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
REACTIO N TURBINE: The turbine in which the steam expands while passing over the moving blades as well as while passing over the fixed blades and the pressure of steam dec

What is the amount of air is supplied to engine via turbochargers and how their sizes vary from engine to engine ?

Applied load shall elongate the spring: Design a close coiled helical spring which shall deflect 100 mm under a load of 600 N. The radius of the coil is 6 times the wire diame

Extension of auger in the main auger arrangement The original size of screw conveyer without auger extension is 2.5 m., which is same as size of chassis. Which to be attach wit

Explain in detail about the Large excavations Large excavations required for construction of rafts may need dewatering, depending on the ground water flow and the choice of  a

What is the Drilling operation Drilling operation can only performed in vertical direction. Hence drilling hole at angle is not performed by drilling machine. It is a big drawb

Define the nature of force in a member of truss: How can you define the nature of force in a member of truss? Sol.: We know that whenever force is applied on a cross se

OUR CUSTOMER HAD APROBLEM WITH OUR CUSTOMER ,AND ME AS AMECHANICLAL ENGINEER FOUND THE PROBLEM

Magnitude of the resultant couple: For non-parallel forces also the location of the line of action of resultant may be determined by utilizing R × d = ∑ M o . The magnitu

Q. Benefits of a good layout and design? The benefits of a good layout and design cannot be overemphasized. They provide an irreplaceable safety factor throughout the life of t