Answer:
maximum normal stress = 5975 psi
maximum shear stress = 2987.50 psi
Explanation:
Given data
dia = 20 ft
wall thickness = 1/2 inch
internal pressure = 50 psi
To find out
the maximum normal stress and the maximum shearing stress
Solution
By the Mohr's circle we will find out shear stress
first we calculate inner radius
i.e. r = (diameter/2) - t
r = (20 × 12 in )/2 - ( 1/2 )
r = 120 - 0.5 = 119.5 inch
Now we find out maximum normal stress by given formula
normal stress = ( internal pressure× r ) / 2 t
normal stress = ( 50×119.5 ) / 2 × 0.5
maximum normal stress = 5975 psi
and minimum normal stress is 0, due to very small radius
and maximum shear stress will be
shear stress = ( maximum normal stress - minimum normal stress ) / 2
shear stress = ( 5975- 0 ) / 2
maximum shear stress = 2987.50 psi
