THIN CYLINDERS AND SPHERES 9 



85. Steam at a pressure of 200 pounds per square inch is suddenly 

 admitted upon a piston 18 inches in diameter. If the steel piston-rod 

 be 3 inches in diameter and 7 feet long, what is the maximum unit- 

 stress and the work done on the rod at the maximum compression ? 



III. THIN CYLINDERS AND SPHERES 



86. What internal pressure will burst a wrought-iron cylinder of 

 20 inches inside diameter and J- inch thickness ? 



87. Determine the diameter of a wrought-iron cylinder J inch thick 

 under an internal pressure of 1000 pounds per square inch for a factor 

 of safety of 5. 



88. Find the internal pressure for a cast-iron water pipe 24 inches 

 inside diameter and 2 inches thick, for a factor of safety of 10. 



89. Determine the thickness of a wrought-iron steam pipe 18 inches 

 inside diameter to resist a pressure of 200 pounds per square inch 

 with a factor of safety of 10. 



90. Find the factor of safety for an 8-inch cast-iron water main J- 

 inch thick, under a water pressure of 300 pounds per square inch. 



91. Determine the thickness of a 6-inch cast-iron water pipe to 

 carry a steady pressure of 200 pounds per square inch. 



92. Find the factor of safety for a cast-iron water pipe 12 inches 

 inside diameter and j- inch thick, under a head of 400 feet. 



93. Calculate the thickness of a 16-inch cast-iron stand-pipe, which 

 is subjected to a head of water of 300 feet. Assume that the stress 

 is steady. 



94. Determine the head of water which can be carried by a wrought- 

 iron pipe 20 inches inside diameter and J- inch thick, with a factor of 

 safety of 6. 



95. A wrought-iron pipe 10 inches inside diameter and | inch thick 

 is subjected to an internal pressure of 500 pounds per square inch. 

 Find the increase in diameter. 



96. Compute the thickness of a cast-iron water pipe 18 inches in- 

 side diameter, under a head of 200 feet, for a factor of safety of 10. 

 What is the increase in diameter? 



97. What head of water can be carried in a cast-iron pipe 2 feet 

 inside diameter and f inch thick, with a factor of safety of 10? 



