A Finite Element Approach for the Elastic-Plastic Behavior of a Steel Pipe Used to Transport Natural Gas

Table 2

Numerical and analytical results for the elastic-plastic case for an internal pressure 𝑃_𝑖 = 169.36 MPa.

𝑟 (mm)	𝜎𝑟 (MPa)		𝜎𝜃 (MPa)
	FEM	Prandtl-Reuss	FEM	Prandtl-Reuss
104.21	−157.89	−163.20	118.79	113.93
115.76	−128.83	−135.48	148.28	143.18
124.21	−109.27	−113.93	167.79	166.28
135.76	−84.69	−89.30	191.73	184.75
146.32	−63.59	−67.74	210.00	203.23
198.64	−4.86	−6.16	151.30	160.12