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

What is the maximum load the spring may carry, What is the maximum load the...

What is the maximum load the spring may carry: Any close coiled helical spring has mean diameter of 80 mm, has spring constant of 100 kN/m. It contains 10 coils. The maximum s

Assignment , assignment on the topics of preservation of safety & accident

assignment on the topics of preservation of safety & accident

Find out the forces in cantilevers frame, Find out the forces in cantilever...

Find out the forces in cantilevers frame: Find out the forces in the members of the cantilevers frame by the method of sections. Solution Let the equilibrium of the fr

Introduction to welding processes, Welding is a material joining process us...

Welding is a material joining process used in making welds and a weld is a localised coalescence of metals or non metals produced either by heating the materials to suitable temper

Describe and calculate humidity ratio, (a) Describe and calculate i) Hum...

(a) Describe and calculate i) Humidity Ratio ii) DPT iii) Relative Humidity iv) Density v) Enthalpy of atmosphere air when DBT is 35 0 C, WBT is 23 0 C and the ba

Determine of poissons ratio, a) Show that if E is assumed to be correctly c...

a) Show that if E is assumed to be correctly calculated, an error of 1% in the evaluation of C will involve an error of about 6% in the determine of Poisson's ratio when its correc

Describe about consumable electrode, Q. Describe about consumable electrode...

Q. Describe about consumable electrode? This type of electrode is prepared from metal. Its one end is kept in electrode holder and then electric supply is passed through it. Th

Stress analysis requirements, Q. Stress analysis requirements? All othe...

Q. Stress analysis requirements? All other lines requiring review by the stress group are to be checked for adequate support, stability, excessive movement, etc. Where hand ca

ENGINEERNING DRAWNING, HOW TO PREPARE A DRAWING IN FIRST ANGLE PROJECTION A...

HOW TO PREPARE A DRAWING IN FIRST ANGLE PROJECTION AND THIRD ANGLE PROJECTION AND WHAT IS THEIR BASIC PRINCIPLE AND WE DO NOT MAKE DRAWING IN 2ND ANGLE PROJECTION AND 4TH ANGLE PRO

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