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
DESIGN FACT DATA: ?A) Torque capacity for traction motor of screw conveyor-1660 N-m. ? B) RPM of Traction motor-115 rpm. ? C) Pressure require for operating the telescopi

Heat Treatment and Surface Treatment Processes Heat treatment processes are employed to improve of a work piece. The category includes the processes. Annealing, Normalizing,


(a) Illustrate critical damping and its uses. (b) A horizontal spring mass system with coulomb damping has a mass of 5 Kg attached to a spring of stiffness 1KN/m. if the coeffic

Q. Horizontal Vessels and Vertical Vessels? Horizontal Vessels A horizontal vessel, designed to support a full weight load of water, shall be tested while resting on its sup

Determine acceleration of weight: Two pulleys of radii 200 mm and 400 mm are mounted co-axially and rigidly on a common-shaft. These pulleys have a overall mass of 28 kg an

What are the Technical Limitations of screw conveyer Technical Limitations: ? Turning limitation of this mechanism Actually the Maximum Turning of U-joint is 18° to 2

In an epicyclic gear train, the internal wheels B and A and compound wheels C and D rotate independently about axis O. The wheels E and F rotate on pins fixed to the arm G. E gear

Manufacturing Process For Reinforced Plastic Parts Two processes that are open mould and close mould are commonly utilized for manufacture of reinforced parts. Hand layup proce

#q(b) Illustrate governing mechanism of Kaplan turbine.uestion..