Longitudinal Stress
输入内压 p、半径 r、壁厚 t，求纵向应力。
| Item | Formula / Note | Source / Standard |
|---|---|---|
| Longitudinal stress | For a thin-walled cylinder, sigma_L = p · r / (2 · t), with p internal pressure, r radius, t thickness | GB 150.1-2011, Pressure vessels - Part 1: General requirements |
| Hoop stress | Hoop stress sigma_theta = p · r / t, twice the longitudinal stress | Timoshenko SP, Strength of Materials: Advanced Theory and Problems |
| Force balance derivation | From p · pi · r^2 = sigma_L · 2 · pi · r · t the longitudinal stress follows directly | Timoshenko SP, Strength of Materials |
| Thin-wall condition | The wall thickness is generally required not to exceed one tenth of the radius | GB 150.1-2011, Pressure vessels - Part 1: General requirements |