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

Grease gun--tool and equipment , Grease Gun: A grease gun is shown in Figu...

Grease Gun: A grease gun is shown in Figure. This is used to supply semi-solid lubricant (grease) for chassis lubrication. Figure : Grease Gun

Gear torque output, what is the different torque rating of a helical gear o...

what is the different torque rating of a helical gear one direction verses the other

Thermodynamics, What are significnces of quasi static process

What are significnces of quasi static process

Electric resistance welding, ELECTRIC RESISTANCE WELDING Electric resis...

ELECTRIC RESISTANCE WELDING Electric resistance welding is an important and widely applied non fusion welding process. This write up covers the basic principles of various resi

Packaging Line Design, i am working as a packaging line design engineer & i...

i am working as a packaging line design engineer & i need to connect 2 cup filling machines to a single line. how do i solve this

Find out the quality, Find out the quality: ABC industries manufacture...

Find out the quality: ABC industries manufacture X-band radar scanners utilized to detect speed traps. The printed circuit boards in the scanners are bough from an outside ven

CO2 welding-equipment, CO 2 WELDING CO 2 welding is one of the variat...

CO 2 WELDING CO 2 welding is one of the variations of t he GMAW (Gas Met al Arc Welding) process which is now used for welding most structural and alloy steels. The operating

Handling suspect material, Q. Handling Suspect Material? • Material or ...

Q. Handling Suspect Material? • Material or items at a Supplier's facility or those received or stored in the warehouse or other construction site location that require PMI-tes

Simply supported beam - bending moment, Simply supported beam -  Bending M...

Simply supported beam -  Bending Moment: Sketch the SFD and BMD for a simply supported beam of 15 m span loaded as illustrated in Figure Figure Solution Tak

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