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

Calculate the reactive power and current supplied, Question: A series r...

Question: A series resistive inductive load is energised from a 240V (RMS), 50Hz single phase AC supply, such that the load draws 1200W at a power factor of 0.8. a) Calculat

Automobile, how when gear changes speed is ups

how when gear changes speed is ups

Define follow board pattern, Follow board pattern This type of pattern ...

Follow board pattern This type of pattern is adopted for those castings where there are some portions which are structurally weak and if not supported properly are likely to br

Thermodynamics, Problem specification 5 kg of air is contained in a piston-...

Problem specification 5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a specific volume of 0.08m3/kg. The air then expands, as an ideal ga

Determine the properties of foundation, Determine the Properties of founda...

Determine the Properties of foundation Soil profile together with natural type and properties of each strata will have a bearing on the choice of foundation. The fact that loa

Advantages of gas tungsten arc welding (gtaw), ADVANTAGES OF GAS TUNGSTEN A...

ADVANTAGES OF GAS TUNGSTEN ARC WELDING (GTAW) Produces high quality, low distortion welds Free from spatter The process can be used with or without filler wire This

Rcc pipe culverts, RCC Pipe Culverts: Reinforced cement concrete pipe...

RCC Pipe Culverts: Reinforced cement concrete pipe culverts are ideal for dealing with small discharges. The advantages are : (a) They are very economical, since a circula

Resistance welding processes, RESISTANCE WELDING PROCESSES The followin...

RESISTANCE WELDING PROCESSES The following five are the main types of resistance welding: 1. Spot welding 2. Seam welding 3. Projection welding 4. Upset butt we

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