Find out the intensity of the external pressure, Mechanical Engineering

Find out the intensity of the external pressure:

A thick cylinder of 0.5 m external diameter & 0.4 m internal diameter is subjected simultaneously to internal & external pressures. If the internal pressure is equal to 25 MN/m2 and the hoop stress at the inside of the cylinder is 45 MN/m2 (tensile), find out the intensity of the external pressure.

Solution

By using Lame's expression for hoop stress and radial stress, which are

σh  =  ( b /r2  )+ a

and

σr  =   b/r2  - a

For the internal surface, i.e. r = 0.2 m,

25=      b/0.22 + a

45 =     b/0.22 + a

On solving out , we get b = 1.4 and a = 10.

Therefore, the intensity of external pressure at r = 0.25 shall be

σr  = (1.4 / 0.252 )- 10 = 12.4 MN/m2

Posted Date: 1/21/2013 2:31:18 AM | Location : United States







Related Discussions:- Find out the intensity of the external pressure, Assignment Help, Ask Question on Find out the intensity of the external pressure, Get Answer, Expert's Help, Find out the intensity of the external pressure Discussions

Write discussion on Find out the intensity of the external pressure
Your posts are moderated
Related Questions
Q. What is Injection moulding? An important industrial method of producing articles of thermoplastics is injection moulding. The moulding material is loaded into a hopper from

Vitrification This is liquid phase sintering. It is achieved via incorporating a component that melts to viscous liquid during sintering. Such viscous liquid solidifies in gla

Transformation Hardening The main features of the laser as a heat source for transformation hardening are: (A) Clean energy source. (B) Energy is localised: no heat spillage.

WRITE THE SHORT NOTES ON SLUDGE AND SCALE


NEED FOR ELECTRON BEAM WELDING(EBW) PROCESS   The major advantage resulting from the use of a vacuum environment with a working pressure of from 10 -5 to 10 -3 mbar is esp

Gated pattern This is an improvement over the simple pattern where the gating and runner system are integral with the pattern. This would eliminate the hand cutting of the runn

Motion of connected bodies: Analyze motion of connected bodies that is connected by pulleys. Sol: The given figure shows a light and inextensible string passing over sm

Choose a wire rope for a vertical mine hoist to lift a load of 55 kN from a depth of 300 metres. A rope speed of 500 metres/min is to be attained in 10 seconds.

An inside cylinder locomotive has its cylinder centre lines 0.70m apart and has a stroke of 0.60m. Rotating mass per cylinder = 150kg Distance between wheel Centre lines = 1.