Load shared by concentric springs, Mechanical Engineering

Assignment Help:

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


Related Discussions:- Load shared by concentric springs

Evaluate thickness of leaves, A semi-elliptical laminated vehicle spring to...

A semi-elliptical laminated vehicle spring to took a load of 6000 N is to consist of seven leaves 65 mm wide, two of the leaves extending the full length of the spring. The spring

Input tolerance of motor, Motor shall operate successfully at rated load wi...

Motor shall operate successfully at rated load with a voltage variation of plus or minus ten percent and frequency variation of plus or minus five percent, or combined variation of

Explain power transmission systems, The basic power transmission systems ar...

The basic power transmission systems are 1. Belt drive 2. Chain drive and 3. Gear drives. Belt drive is commonly used for transmission of power when exact velocity rat

Define principal process for electron beam machining, Define Principal Proc...

Define Principal Process for Electron Beam Machining A beam of electrons is emitted from the electron gun which is basically following three points. 1. A cathode whic

Determine thevoidage , Question: The figure below shows a packed bed i...

Question: The figure below shows a packed bed in a 0.1 m diameter tube.  The particles are cylindrical in shape with surface volume mean diameter of 300 µm. The density and ma

What is the use of welding electrode, Q. What is the use of welding electro...

Q. What is the use of welding electrode? An electrode is a piece of wire or a rod (of a metal or alloy), with or without flux covering, which carries current for welding. Its o

Find power transmitted by cross type belt, Find power transmitted by cross ...

Find power transmitted by cross type belt: Find power transmitted by cross type belt drive connecting two pulley of diameter 45.0cm and 20.0cm that are 1.95m apart. The max

Compression ratio and mean effective pressure, Compressio n Ratio: It...

Compressio n Ratio: It is calculated as shown below Mea n Effective Pressure (P m   o r P me f ): Mean effective pressure is the hypothetical consta

Tensile strain, T ensil e Strain: When the tensile load acts on body...

T ensil e Strain: When the tensile load acts on body then there will be decrease in cross sectional area and an increase in length of body. The ratio of increase in length t

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