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

Optimization, consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3...

consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3x2+x3 5x1+4x2+3x3 x1,x2,x3>_0 (a)solve using simlex method (b)hence using the sesitivity analysis,find the new optimal

Powder metallurgy, why pre sintering needed in powder metallurgy

why pre sintering needed in powder metallurgy

Control cables and rubber parts, Control Cables: Never bend or distort con...

Control Cables: Never bend or distort control cables. This will lead to stiff operation and premature cable failure. Rubber Parts: Beware of parts containing O-rings or oil s

Write down the uses of vernier caliper and steel rule tools, Write down the...

Write down the uses of following tools and make neat sketches of the same : (a) Vernier Caliper (b) Steel Rule

Thermal, what is Otto cycle?

what is Otto cycle?

The leader command-autocad, The Leader Command The Leader command can b...

The Leader Command The Leader command can be used to annotate at any point on a drawing. The command sequence below was used to draw the leader shown in the Figure Below.

Determine thevoidage , Question: The figure below shows a packed bed i...

Question: The figure below shows a packed bed in a 0.1 m diameter tube.  The particles are cylindrical in shape with surface volume mean diameter of 300 µm. The density and ma

Ideal fluids in motion, In hydrostatic we consider that fluids were at rest...

In hydrostatic we consider that fluids were at rest. Now we relax this consideration but with caution. We will discuss the flow of an real fluid. There are the assumptions about pe

Find the maximum allowable size of the milling cutter, Find the Maximum All...

Find the Maximum Allowable Size of the Milling Cutter  Find the maximum allowable size of the milling cutter if it is to rotate at 65 rpm while the cutting speed is 20 m/min.

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