Load shared by concentric springs, Mechanical Engineering

Load shared by concentric springs:

Two concentric springs are subjected to an axial load of 60 kN. The maximum permissible deflection of the springs is 45 mm & the solid length is 55 mm. If the springs are of the material having G = 80 × 103 N/mm2 and the maximum permissible shear stress is 800 N/mm2, determine

a. load shared by the springs, and

b. wire diameter and outer spring radius.

Take inner spring radius = 40 mm & radial clearance = 3 mm.

Solution

The springs are in parallel. Deflection of both of the springs is similar.

Δ= 64 W R3 n / G d 4

2138_Load shared by concentric springs.png

          168_Load shared by concentric springs1.png----------- (1)

τmax      = 16 W R  /π d3

499_Load shared by concentric springs2.png ------- (2)

  n1d1= 55mm   ⇒  n 1 = 551 /d1                           --------- (3)

From Eq. (1) and (3), we get

1111_Load shared by concentric springs3.png--------- (4)

From Eq. (2) to Eq. (1), we get

 

∴          d1  = 15.67 mm ; 15.7 mm

∴ W1  = 3.93 × 15.73  = 15 129 N = 15.1 kN

  W1  + W2  = 60 kN

  W2  = 44.9 kN

Outer Spring

R2 = 80 + 15.7 + 2 × 3 + d2 /2= (50.85 + 0.5 d2) mm

τ max  =16 W R  / π d3

16 × 44.9 × 103 × (50.85 + 0.5 d 2 )

1491_Load shared by concentric springs4.png

∴          d2  = 24.4 mm

∴ R2  = (50.85 + 0.5 × 24.2) = 63.05 mm

Posted Date: 1/21/2013 1:43:08 AM | Location : United States







Related Discussions:- Load shared by concentric springs, Assignment Help, Ask Question on Load shared by concentric springs, Get Answer, Expert's Help, Load shared by concentric springs Discussions

Write discussion on Load shared by concentric springs
Your posts are moderated
Related Questions
Q. Corrosion in Boiler? With proper BFW treatment, and maintaining pH within a certain range (9.2 to 9.4) and removing oxygen from the system, a stable passive film will be for

How can i change the normal function block parameter[1 1]=>(s+1) to (s-1)?

I want to tranfer the rotatory motion of my apache RTR 160 back wheel to a motor(of dynamo). kindly guide me with the design. i''m struck up in the gear wheel mechanism.

Industrial Manufacturing Activity can broadly be divided into the followings ways: Mass Production Large lots e, g, Automobiles : In this the volume of production is very hi

Find the component of force on the inclined plane: A small block of weight 300N is placed on the inclined plane, which makes an angle 60° with the horizontal. Find the compone

Evaluate the stream function at point (2, 3) for a two dimensional flow given by U = 5x 3           v = - 15x 2 y Evaluate the velocity potential function for a two dimension

Predictive Control Algorithms Escaping Scheduling Errors via Partial Look-ahead Since previously mentioned above, the heuristic priority rules that are normally utilized in

A manufacturing facility consists of five departments, 1, 2, 3, 4 and 5. It produces four components having the manufacturing product routings and production volumes indicated in t

Q. Expected service life of a component in high temperature environment? The expected service life of a component in a high temperature environment is limited by either the mat

At a point in a rectangular block of elastic material under strain, there is a tensile stress of 50MPa on one plane and a compressive stress of 30 MPa on a plane at right angles. T