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

Virtual work, state principle of virtual work

state principle of virtual work

Evaluate crippling load, A column of timber section 15cm x 20cm is 6 meter ...

A column of timber section 15cm x 20cm is 6 meter long both side being fixed. If the youngs modulus for timber is 17.5 KN/mm 2 , Evaluate: a) Crippling load and b) Safe load

Refrigeration, In a steam jet refrigeration system, the ejector extracts 3....

In a steam jet refrigeration system, the ejector extracts 3.3 m3/s of saturated water vapor at a temperature of 7.2 °C from the flash chamber. The return water from the cooling coi

Turnouts, Turnouts: A turnout is an assembly of various components wh...

Turnouts: A turnout is an assembly of various components whereby a train running on one track may be diverted to another. A sketch of a left-hand turnout is given in Figur

Why we need additives explain, Q. Why we need additives explain? Additi...

Q. Why we need additives explain? Additives are the materials added in small quantities to the moulding sand in order to enhance its exiting properties and to impart to it spec

Automobile, what is internal combustion engine

what is internal combustion engine

Illustrate reversible-irreversible and quasi-static process, (a) Illustrate...

(a) Illustrate reversible, irreversible and Quasi-static process with examples. (b) What do you mean by terms change of state, path, process, property, cycle. (c) Distinguish

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