23 If the major principal stress in a thinwalled cylindrical

#23

If the major principal stress in a thin-walled cylindrical pressure vessel equals ?, the maximum in-plane shear stress in the cylinder wall is

(A)

0.25?

(B)

0.50?

(C)

0.75?

(D)

?

Solution

maximum in-plane shear stress = (major principal stress- minor principal stress)/2

major principal stress= hoop stress = ?

    minor principal stress = longitudinal stress = ?/2

So, maximum in plane shear stress= (?-?/2)/2

=?/4

=0.25?

Option A is correct.