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.


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

σh  =  ( b /r2  )+ a


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

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