Determine the deflection of the spring, Mechanical Engineering

Determine the deflection of the spring:

A close coiled helical spring deflects 25 mm under a certain axial load. Determine the deflection of the second spring under the similar load if the effective length of the wire is same but the diameter of coils is 20% greater and that of the wire is 10% greater.

Solution

Δ= 64 W R3 n/ Gd 4

R2 = 1.20 R1,   d2 = 1.1 d1

l1 = l2

G and W are same for two springs.

If we call two springs 1 and 2 then they contain the same length but different coil radius and number of coils

∴          l1  = l2 or  2π R1 n1  = 2π R2 n2

But       R2 = 1.2 R1       (20% greater)

∴          R2 n1 = 1.2 R1 n2  or    n1 / n2 = 1.2

Take the ratio of deflections of two springs

2332_Determine the deflection of the spring.png

 ( Δ2/25 ) = 1.20 R1/R1)3 (1/1.20) (d1/1.1d1)4 = ((1.2)2/(1.2)). (1/1/1)4= 0.984

∴ Δ2  = 0.984 × 25 = 24.59 mm

Posted Date: 1/21/2013 1:16:16 AM | Location : United States







Related Discussions:- Determine the deflection of the spring, Assignment Help, Ask Question on Determine the deflection of the spring, Get Answer, Expert's Help, Determine the deflection of the spring Discussions

Write discussion on Determine the deflection of the spring
Your posts are moderated
Related Questions
Numerica l Problems Based on Overhanging Beam: Q: Draw Shear force diagram for the simply supported beam loaded as shown in the figure given below. Sol.: Let the


Borides Borides of Mo, W, Cr, Ti and Zr find extensive industrial application. They exhibit extremely high hardness, melting point from 1800 to 3000 o C and good chemical resi


Determine  forces in members of cantilever truss: Determine  forces  in  members   B C   and  BD   of   cantilever truss  shown  in  the figure in the figure given below.

Illustrate modified Rankine cycle in detail with p-v and T-S diagrams. Explain Carnot cycle in detail with T-S and P-V diagram, and also write expression for thermal efficiency,

Calculate the Net Positive Suction Head A pump station has been designed to lift water out of a 6 metre deep pit (vented to atmosphere) via a centrifugal pump mounted at groun

Collapsible Soils and Subsidence There are soils which are quite stable when dry and they show large volume changes on wetting under load. Examples of  these soils are loess (w

proell governor,porter governor,watt governor

Question. In the system shown below, the force exerted by the free jet issuing from the sharp-edged circular nozzle and impinging on the small circular plate is just su±cient to k