Determine the maximum stress - thick cylinder, Mechanical Engineering

Determine the maximum stress - thick cylinder:

A thick cylinder of steel with an internal diameter of 100 mm & external diameter of 200 mm is subjected to an internal pressure of 80 N/mm2. Determine the maximum stress induced in the material and the alteration in the external diameter.

Take Young's Modulus = 2 × 105 N/mm2 and Poisson's ratio = 0.3.

Solution

By using Lame's expressions for the inside and outside pressure, we get

                  80 = b/502 - a

and

0 = (b/1002) - a

On solving out, we obtain, b = 266666.67 and a = 26.667.

Therefore, the maximum stress (Hoop stress at the inner surface of the cylinder)

=   (b/502) + a = (266666.67/502 ) + 26.667

= 133.33 N/mm2

To discover the strain at the outer surface.

Hoop stress at surface = (266666.67 /1002) + 26.667 = 53.33 N/mm2

As, pressure outside is zero.

 Hoop strain = 53.33 / E = 53.33 / (2 × 105)

= 2.666 × 10- 4

Therefore, increase in external diameter = 2.666 × 10- 4 × 200 = 0.053 mm .

Posted Date: 1/21/2013 2:33:41 AM | Location : United States







Related Discussions:- Determine the maximum stress - thick cylinder, Assignment Help, Ask Question on Determine the maximum stress - thick cylinder, Get Answer, Expert's Help, Determine the maximum stress - thick cylinder Discussions

Write discussion on Determine the maximum stress - thick cylinder
Your posts are moderated
Related Questions
what is the role of a correction couple and how does it come into picture in dynamically equivalent system?

Q. Use of Stainless Steels in welding? Considerable care must be exercised to obtain sound, crack-free welds. These difficulties are pronounced when welding very high-chromium

Q. Define Gas Welding? Metal joining process in which the ends of pieces to be joined are heated at their interface by producing coalescence with one or more gas flames (such a

Keywords related to Air transportation: Airfield/Airport       :            The area which contains the facilities needed for the operation of aircraft. Apron

Level of Safety Organization This level comprises representatives of safety departments working at shop floor level or along with workers. The personnel will in fact implement

Read two documents that will provide and answer the following questions: 1) You will note from reading the above referenced specifications that fewer valve types are recommended fo

Q. Mechanical design of the blowdown systems? Mechanical design of the blowdown systems shall be sized for a continuous blowdown of a minimum of 1.0% of MCR. Fabricator may re

This project involves a test of the basic idea behind the bootstrap method. Essentially you will write a program that: 1. Generates a parent population of size 100,000 whose dis

how will u designate a v belt