Figure Q2 shows the cross-section of a closed ended thick-walled cylinder with inner radius, r i , 0.1 m and outer radius, r o , 0.2 m. The cylinder is subjected to internal pressure, p i and external...

Figure Q2
shows the cross-section of a closed ended thick-walled cylinder with inner radius,
r
i, 0.1 m
and outer radius,
r
o, 0.2 m. The cylinder is subjected to internal pressure,
p
i
and external pressure,
p
o.
One of the design specifications is to maintain the hoop stress at the outer surface of the cylinder at zero
value. If
p
o
= 50 MPa and by using Lame’s equations for thick-walled cylinder,

(a) determine the value of
p
i
to achieve the design specification

(b) sketch the hoop, radial, and longitudinal stress variations across the wall thickness and label their values at the inner and outer radius of the cylinder

(c) determine the absolute maximum shear stress existing in the cylinder wall material