D12.A.6.3 Pipe profile

The von Mises stress is checked in three stress points as shown in figure below.

Section properties

Note: In STAAD.Pro, slightly different values are used for A_y , A_z and I_x , however this has insignificant influence on the force distribution.

Point No	σ_x	σ_by	σ_bz	τ_x	τ_y	τ_z
1	$\frac{F_{x}}{A_{x}}$	$\frac{M_{y}}{I_{y}} r$	0	$\frac{M_{T}}{I_{x}} r$	$\frac{F_{y}}{0.5 A_{x}}$	0
2		0	$\frac{M_{y}}{I_{y}} r$		0	$\frac{F_{y}}{0.5 A_{x}}$
3		σ_b	σ_b		τ	τ

where

σ_b	=	$\frac{\sqrt{M_{y}^{2} + M_{z}^{2}}}{I_{z}} r$
τ	=	$\frac{\sqrt{F_{y}^{2} + F_{z}^{2}}}{0.5 A_{x}}$