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
The turbine rotor of a ship having a mass of 200Kg moves at 200 r.p.m and its radius of gyration is 0.30 m. If the rotation of the rotor is clockwise looking from the aft., evaluat

CO2 WELDING-Power Source Normally, a power source with constant potential characteristics is used for CO 2 welding as it has the ability to self regulate the welding arc. The

considerations for shape changers

Gas Porosity Porosity is the presence of gas pockets or voids caused by the entrapment of gas evolved during weld metal solidification. This Porosity is caused due to im


Discover the torque on the shaft: A steel shaft transmits 105 kW at 160 rpm. If the shaft is 100 mm diameter, discover the torque on the shaft and the maximum shear stress ind

Determine the velocity in a Moving Frame of Reference: As illustrated in Figure, a ship A moves with a velocity v A = 40 km/hour whereas ship B moves with a velocity of v B

Laws of solid friction: Sol.: The friction which exists between two surfaces that are not lubricated is called as solid friction. The two Surfaces can be at rest or one of t

crowning of pulley

Q. How can we use of Shrinkage allowance? Since metal shrinks on solidification and contracts further on cooling to room temperature, linear dimensions of the pattern is increa