Machinery's Handbook, 31st Edition
292
Plates, Shells, and Cylinders Ratio of Outside Radius to Inside Radius, Thick Cylinders
Allowable Stress per Sq. In. of Section
Working Pressure in Cylinder, Pounds per Square Inch 1000 1500 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500 7000
………………………………
2000 2500 3000 3500 4000 4500 5000 5500 6000 6500 7000 7500 8000 8500 9000 9500
1.732
……………………………
1.528 2.000
1.414 1.732 2.236
…………………………
1.342 1.581 1.915 2.449
… … … … … … … … …
1.291 1.483 1.732 2.082 2.646
… … … … … … … …
1.254 1.414 1.612 1.871 2.236 2.828
… … … … … … …
1.225 1.363 1.528 1.732 2.000 2.380 3.000
… … … … … …
1.202 1.323 1.464 1.633 1.844 2.121 2.517 3.162
… … … … …
1.183 1.291 1.414 1.558 1.732 1.949 2.236 2.646 3.317
… … … …
… 1.265 1.374 1.500 1.648 1.826 2.049 2.345 2.769 3.464
… … …
… 1.243 1.342 1.453 1.581 1.732 1.915 2.145 2.449 2.887 3.606
… …
… 1.225 1.314 1.414 1.528 1.658 1.813 2.000 2.236 2.550 3.000 3.742 … … 1.209 1.291 1.382 1.483 1.599 1.732 1.890 2.082 2.324 2.646 3.109 3.873 … 1.195 1.271 1.354 1.446 1.549 1.667 1.803 1.964 2.160 2.408 2.739 3.215 … 1.183 1.254 1.330 1.414 1.508 1.612 1.732 1.871 2.035 2.236 2.490 2.828
… … … … … … … … … … … …
1.238 1.309 1.387 1.472 1.567 1.673 1.795 1.936 2.104 2.309 2.569 1.225 1.291 1.363 1.441 1.528 1.624 1.732 1.856 2.000 2.171 2.380 1.213 1.275 1.342 1.414 1.494 1.581 1.679 1.789 1.915 2.062 2.236 1.202 1.260 1.323 1.390 1.464 1.544 1.633 1.732 1.844 1.972 2.121 1.192 1.247 1.306 1.369 1.438 1.512 1.593 1.683 1.784 1.897 2.028 1.183 1.235 1.291 1.350 1.414 1.483 1.558 1.641 1.732 1.834 1.949
10,000 10,500 11,000 11,500 12,000 12,500 13,000 13,500 14,000 14,500 15,000 16,000
… … … … … … … … … … … … … … … … … … … … …
1.225 1.277 1.333 1.393 1.458 1.528 1.604 1.687 1.780 1.883 1.215 1.265 1.318 1.374 1.435 1.500 1.571 1.648 1.732 1.826 1.206 1.254 1.304 1.357 1.414 1.475 1.541 1.612 1.690 1.776 1.198 1.243 1.291 1.342 1.395 1.453 1.515 1.581 1.653 1.732 1.190 1.234 1.279 1.327 1.378 1.433 1.491 1.553 1.620 1.693 1.183 1.225 1.268 1.314 1.363 1.414 1.469 1.528 1.590 1.658 1.171 1.209 1.249 1.291 1.335 1.382 1.431 1.483 1.539 1.599
Formula (28) also applies to hemi-spherical shells, such as the hemi-spherical head of a cylindrical container subjected to internal pressure, etc. If metric SI units are used, then: D = internal diameter of shell in millimeters p = internal pressure in newtons per square millimeter S = safe tensile stress in newtons per square millimeter t = thickness of metal in the shell, in millimeters. Use Formula (28). Meters can be used in the formula in place of millimeters, provided the treatment is consistent throughout.
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