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
Q. Steam and Power Generation Equipment? Locating steam and power generation equipment outside of the process areas ensures that critical facilities feeding major portions of t

Explain Cutting Speed - Cutting Parameters It is relative speed (V 1 ) between wheel and the Work piece. It is expressed in m/sec.   V=Cutting speed=V 1   =

steel ball v/s cotton ball of same weigt which is easy to lift

What are main important terms included in the footings? Term included in the footings: a. described different types of footings and the process of selecting each type, b.

Illustrates the concept of bearing capacity of soil? The concept of bearing capacity of soil is the very essence of design and analysis of shallow foundations. In order to inve

Difference between direct and shear stress

A Mercedes-Benz 300SL (m = 1600 kg) is parked on a road that rises 20° above the horizontal. (a) What is the static frictional force that the ground exerts on the tires? (b) Wh

Necessity of Cooling System To prevent the engine from excessive heating. To avoid the piston seizure due to thermal expansion. To prevent burning of lubricant a

Q. Show Modular Structures layout? Outside dimensions and weight of truckable modules shall not exceed limits specified, Modular Structures in GS-904-0103. Minimum head clearan