| Load-deflection diagram. |
| Examples |
| The following example of calculation shows the input data corresponding to the orthotropic clamped semi-sphere with the material reinforced slightly in the circumferential direction. |
| Input: |
| Radius of sphere R: 0.9 | H: 0.9 |
| Meridional elasticity modulus of the shell E1: 25800 | Circumferential elasticity modulus of the shell E2: 258000 |
| Poisson's ratio of the material ν12: 0.05 | Shell thickness h: 0.01 |
| Output: |
| Load-deflection diagram. |
| Deflection | Force | Meridional bending stresses | Circumferential bending stresses | Current angle |
| 0.096516326 | 0.25403422 | 1230.9429 | 615.47144 | 0.31756043 |
| 0.21802324 | 0.3880437 | 1957.847 | 978.9235 | 0.48786992 |
| 0.33880392 | 0.4864385 | 2491.5676 | 1245.7838 | 0.615185 |
| 0.4593175 | 0.5680378 | 2934.1846 | 1467.0923 | 0.7227343 |
| 0.5796933 | 0.6393055 | 3320.7598 | 1660.3799 | 0.81847787 |
| 0.6999858 | 0.703389 | 3668.3662 | 1834.1831 | 0.90629494 |
| 0.82022285 | 0.7621035 | 3986.8457 | 1993.4229 | 0.9884321 |
| 0.94042057 | 0.81659234 | 4282.4854 | 2141.2427 | 1.066338 |
| 1.0605897 | 0.86780554 | 4559.592 | 2279.796 | 1.1410209 |
| 1.1807342 | 0.91544044 | 4821.266 | 2410.633 | 1.2132252 |
| 1.3008597 | 0.9600597 | 5069.8315 | 2534.9158 | 1.2835282 |
| 1.4211102 | 1.05969 | 5307.0806 | 2653.5403 | 1.3523976 |
| 1.539007 | 0.5168 | 5534.4307 | 2767.2153 | 1.420228 |
| 1.6629676 | 2.9795713 | 7442.686 | 3721.343 | 1.4873662 |
| 1.6687669 | 3.056845 | 7534.8765 | 3767.4382 | 1.490582 |
| 1.6745508 | 3.0958846 | 7604.324 | 3802.162 | 1.493797 |
| 1.6803179 | 3.0908694 | 7649.5054 | 3824.7527 | 1.4970112 |
| 1.686062 | 3.0255456 | 7670.294 | 3835.147 | 1.5002246 |
| 1.6917812 | 2.9026847 | 7683.7603 | 3841.8801 | 1.5034373 |
| 1.6974735 | 2.7303176 | 7697.203 | 3848.6016 | 1.5066493 |
| 1.703136 | 2.5194683 | 7710.623 | 3855.3115 | 1.5098605 |
| 1.7087651 | 2.2834373 | 7724.0205 | 3862.0103 | 1.5130712 |
| 1.714358 | 2.0369592 | 7737.3945 | 3868.6973 | 1.5162812 |
| 1.7199141 | 1.7952845 | 7750.7466 | 3875.3733 | 1.5194908 |
| 1.7254391 | 1.5732422 | 7885.1445 | 3942.5723 | 1.5226998 |
| 1.7309499 | 1.3843446 | 8098.9604 | 4049.4802 | 1.5259084 |
| 1.736479 | 1.2399832 | 8425.188 | 4212.594 | 1.5291164 |
| 1.7420719 | 1.148766 | 8874.601 | 4437.3003 | 1.532324 |
| 1.7477721 | 1.1160314 | 9454.744 | 4727.372 | 1.5355312 |
| 1.7541181 | 1.4471415 | 10169.183 | 5084.5913 | 1.538738 |
| 1.7609572 | 2.7823343 | 11016.81 | 5508.405 | 1.5419445 |
| 1.7673467 | 5.2300463 | 11991.258 | 5995.629 | 1.5451508 |
| 1.7734225 | 8.801245 | 13080.459 | 6540.2295 | 1.5483567 |