Determine the diameter of wire - close coiled helical spring, Mechanical Engineering

Assignment Help:

Determine the diameter of wire - close coiled helical spring:

A close coiled helical spring has to absorb 100 N-m of energy while compressed to 10 cm. The coil diameter is 10 times the wire diameter. The number of coils is 12. Determine the diameter of wire, mean radius & the maximum shear stress.

Take G = 80 GPa.

Solution

We know

U = (½) W Δ

∴          100 × 103 = (1 /2 )× W × 100

∴          W = 2000 N

D = 10 d   or   R = 5 d

G = 80 GPa = 80 × 103 MPa = 80 × 103 N/mm2

Δ= 64 W R3 n/ Gd 4

∴          100 =6 4× 2000 × (5d ) 3 × 12 /  (80 × 103 ) d 4

or         d = 24 mm

R = 5d = 5 × 24 = 120 mm

τ max = 16 W R / π d 3

= 16 × 2000 × 120/ π (24)3  = 88.4 N/mm2


Related Discussions:- Determine the diameter of wire - close coiled helical spring

Introduction to entrepreneurship development , INTRODUCTION: In the previo...

INTRODUCTION: In the previous unit, you studied about the motorcycle and its various parts and systems. In this unit, we shall learn the various aspects of Entrepreneurship Develo

Explain about the CAD system, Explain about the CAD system. CAD systems...

Explain about the CAD system. CAD systems generally require considerable processor power and a number of output and input devices; for instance: - Light pens - Large scre

General electric research laboratory, General Electric Research Laboratory:...

General Electric Research Laboratory: Philip Kennicott joined the General Electric Research Laboratory in the year 1961 where he made contributions in the fields of x-ray crys

Find distance through which the body will penetrates, Find distance through...

Find distance through which the body will penetrates: A body having mass 25kg falls on the ground from height of 19.6m. The body penetrates into ground. Find distance through

Calculate natural frequency and damping coefficient, a. Objectives O...

a. Objectives Observe vibration first hand Calculate natural frequency and damping coefficient observe changes as a result of temperature and material b. Backg

Borides, Borides Borides of Mo, W, Cr, Ti and Zr find extensive indust...

Borides Borides of Mo, W, Cr, Ti and Zr find extensive industrial application. They exhibit extremely high hardness, melting point from 1800 to 3000 o C and good chemical resi

Steps for solving problem for finding maximum power, Step s for Solving Pr...

Step s for Solving Problem for Finding Maximum Power: 1. Use formula stress (σ) = force (Maximum Tension)/Area Where;  Area = b.t that is, T max = σ.b.t 2. Unit mass (

Explain action and reaction of force , Explain action and reaction of force...

Explain action and reaction of force: Two bodies A and B are in contact at point ' O '. Body A Press against body B. Thus action of body A on the body B is F . React

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