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
Q. Explain System and Parting sand? System Sand: In mechanized foundries, where machine moulding is employed a so called "system sand" is used to fill the whole flask. Since

Combined Rules           MOD (modified operation due date)                                 PN j = max (t + o j , t dj ) (SPT-Tr) (Truncated SPT)

(a) What is the function of a spark plug? (b) What are the types of spark plugs? Point out the differences between them. (c) Describe the construction of a spark plug with th

Car Management System: You have been approached by a Used Car Dealership who wishes to introduce an IT system to support their business. You are required to implement a protot

Compute the outside diameter of the shaft: A hollow shaft of diameter ratio is 0.4 is needed to transit 600 kW at 120 rpm. The maximum torque being 20% greater than the mean t

Evaluatio n of the Internal Energy of Steam: It is actual heat energy stored in steam above the freezing point of water. We know enthalpy = internal energy + pressure ener


Explain Cutting Speed - Cutting Parameters It is relative speed (V 1 ) between wheel and the Work piece. It is expressed in m/sec.   V=Cutting speed=V 1   =

Consider some publications of the Bureau of Standards. The following publications of the Bureau of Standards shall be read along with this section of footings. a. IS 456 in

Approximate the tension: A copper tube 38 mm external diameter and 35 mm internal diameter is nearly wound with a steel wire of 0.8 mm diameter. Approximate the tension at whi