D12.A.6.3 Pipe profile
The von Mises stress is checked in three stress points as shown in figure below.
Stress points for a pipe section
Section properties
- d = D - 2t
- r = 0.5 ( D-t )
- a = tan^{-1} M_{z}/M_{y}
- Ax = π/4 (D^{2} - d^{2})
- A_{y} = A_{z} = 0.5A_{x}
- I_{x} = 2I_{z} =π/32 (D^{4} - d^{4})
- I_{y} = I_{z} = π/64 (D^{4} - d^{4})
Note: In the STAAD.Pro analysis package slightly different values are used for A_{y} , A_{z} and I_{x} , however this has insignificant influence on the force distribution.
- A_{Y} = A_{z} = 0.6A_{x}
- I_{x} = 2πR^{3}t
Stress calculation at selected stress points
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 |
= | ||
= |