Determine the ratio between moment and load, Mechanical Engineering

Determine the ratio between moment and load:

Any close coiled helical spring of circular section extends 1 mm while subjected to an axial load of W and then given an angular rotation of 1 radian while a moment M is independently applied around the axis. Determine the ratio M / W

Solution

For a close coiled spring :

Δ=64 W R3 n/ Gd 4 (Δ = 1 mm)

∴          W = Gd 4/64 R3 n                   ------------- (1)

φ= 128 M Rn  / Ed 4

∴          M =      E d 4/128 R n                        -------------- (2)

Eq. (2) divided by Eq. (1), we get

M/ W = (Ed 4/128 R n) × (64 R3n/ Gd 4)

=   E   R2 / 2 G                      E = 2 G (1 + ν)

M / W  = R2  (1 + ν)

Posted Date: 1/21/2013 1:21:41 AM | Location : United States







Related Discussions:- Determine the ratio between moment and load, Assignment Help, Ask Question on Determine the ratio between moment and load, Get Answer, Expert's Help, Determine the ratio between moment and load Discussions

Write discussion on Determine the ratio between moment and load
Your posts are moderated
Related Questions
Piston: It is a cylindrical component fitted into the cylinder forming the moving boundary of the combustion region. It fits perfectly (snugly) into the cylinder providing a gas-

What are significnces of quasi static process

V iolatio n of K-P Statement: A HE produce work 'W' by exchanging the heat with one reservoir at temp. T 1 only. The K-P statement is violated.   H.P. is extract

have assignment in FEM calculation and ANSYS are you able to solve this kind of assignment

Q. What is Stormwater Treatment? Normally, stormwater run-off from process areas needs to be collected and treated before being discharged to land or water. Often, large aerobi

is it correct tosay tha the heat content of the system is 5 kv.

how should we consider positive or negative when summation of forces

Q. Describe the term ‘Critical Insulation thickness'. What is its significance? Derive an expression for the critical insulation radius of a spherical system. A bar of square cr

Terminal Nut: This is a detachable type of terminal nut. The high tension (HT) cord is connected here. This is also available in non-detachable type. Figure: Spark Plug

What do you mean by synchromesh device ? explain the basic working of a synchromesh gear box.