Strength of Materials

10.3 THICK CYLINDRICAL SHELLS UNDER INTERNAL PRESSURE

Let R_i and R_e be the internal and external radius of the thick cylinder.

Let p be the internal pressure.

For this case, Lame’s theorem conditions are

 

r = R_i and p_r = p

 

r = R_e and p_r = 0.

 

Substituting these values in Equation (10.8)

we have

 

 

and

 

Solving Equations (10.10) and (10.11), we have

 

 

and

 

Maximum hoop stress occurs at r = R_i, then Equation(10.9) ...