Determine the ratio between moment and load, Mechanical Engineering

Assignment Help:

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)


Related Discussions:- Determine the ratio between moment and load

Equlliberum, what is equilibrium of rigidity?

what is equilibrium of rigidity?

Cam-follower, which software can model the conjugate cams-follower?

which software can model the conjugate cams-follower?

Components of steam power plant, Component s of Steam Power Plant: Th...

Component s of Steam Power Plant: There are four components of steam power plant: 1. The boiler: Hot-source reservoir in which the combustion gases raise steam. 2. Engi

Shear and moment diagrams, Shear and Moment Diagrams Determine the anal...

Shear and Moment Diagrams Determine the analytical solution for the maximum stress of the beam shown; compare with stress results from Solid Works. Draw shear and moment diagra

Evaluate natural frequency of damped vibrations, What are various types of ...

What are various types of damping ? Explain viscous damping. A vibrating system is defined by the following parameters : m = 4Kg, K = 10N/m, C =3N-Sec/m Evaluate (a) Na

FEA, Simple 3 node triangle. need to find displacement and reaction loads

Simple 3 node triangle. need to find displacement and reaction loads

Thermodynamic equilibrium - thermodynamics, Thermodynamic equilibrium - The...

Thermodynamic equilibrium - Thermodynamics: Equilibrium is the state of a system in which the state does not undergo any change in itself with the passage of time without the

Bending stress, What is bending stress? The bending moment at section t...

What is bending stress? The bending moment at section tends to bend or deflect beam and internal stresses resist its bending. The process of bending stops when the cross sectio

What is transfer molding, Q. What is Transfer molding? Transfer molding...

Q. What is Transfer molding? Transfer molding was developed largely to avoid the disadvantages found which compression molding. • Transfer molding can make intricate or quit

Interference, construction and working of michelsons interferometer

construction and working of michelsons interferometer

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd