Determine the stress in the meridional direction, Mechanical Engineering

Determine the stress in the meridional direction:

A doubly curved shell of thickness 8 mm is filled through a liquid under an internal pressure of 2.0 N/mm2. At a specific point on the shell having radii of curvature 800 mm and 500 mm, the stress along with the circumferential direction is found to be 40 N/mm2. Determine the stress in the meridional direction.

Solution

Thickness, t = 8 mm.

Internal pressure, p = 2 N/mm2.

Circumferential stress, f1 = 40 N/mm2.

Radius, r1 = 800 mm.

Meridional radius, r2 = 500 mm.

Using the relationship,

f1  / r1 +  f2 / r2 =  p/ t             

40/ 800   +   f2 /500  = 2/8

f2   = ((2 /8 )- (40 /800)) × 500 = 100 N/mm2

Posted Date: 1/21/2013 2:09:34 AM | Location : United States







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