The general approximate theory of thin cylindrical wall deformed symmetrically about the axis was applied to the case of a cylinder wall partially subjected to the internal pressure. With reference to an example, it was shown that, assuming other parts of wall to be strong enough, the material is liable to be more highly stressed in the circumferential direction than estimated by the ordinary design formula, which does not there fore lead to ample dimensions. Besides the internal pressure, the wall is subjected to temperature change, which induces considerable stress. Under simple assumptions, the best thickness of wall was determined to minimize the resultant stress due to pressure and temperature. The calculation was illustrated by working out an example with the result that the thickness determined under a certain convention regarding the flow of heat was practicable in the case of light motors.
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