FLAT PLATES 59 



560. A steel tube, outside radius 4 inches and inside radius 2.9984 

 inches, is shrunk upon another tube, outside radius 3.00098 inches 

 and inside radius 2 inches. Find the stresses produced in the tubes 

 at the outside and inside surfaces. 



XIV. FLAT PLATES 



561. Find the thickness of a fixed cast-iron cylinder-head 36 inches 

 in diameter, to sustain a uniform pressure of 250 pounds per square 

 inch, with a maximum tensile stress of 4000 pounds per square inch. 



562. Determine the thickness of a fixed steel cylinder-head 36 

 inches in diameter to sustain a uniform pressure of 300 pounds per 

 square inch, with a factor of safety of 5. 



563. The cylinder of a locomotive is 20 inches inside diameter. 

 Find the thickness of the steel end-plate to withstand a pressure of 

 160 pounds per square inch, with a maximum tensile stress of 10,000 

 pounds per square inch. 



564. A circular cast-iron valve-gate ^ inch thick closes an opening 

 6 inches in diameter. Find the maximum unit-stress in the gate if 

 the pressure against it is 65 pounds per square inch. 



565. Find the maximum unit-stress in a circular steel plate 1^- 

 inches thick and 24 inches in diameter, bearing a load of 4000 pounds 

 at its center, if this load is distributed over a circle 3 inches in 

 diameter. 



566. Determine the uniform pressure, with a factor of safety of 4 

 for an elliptical cast-iron manhole cover 3 feet long, 18 inches wide, 

 and 1 inch thick. 



567. Find the proper thickness for an elliptical cast-iron manhole 

 cover 24 inches long and 16 inches wide, when used in a stand-pipe 

 under a head of water of 60 feet, with a factor of safety of 6. 



568. Determine the safe uniform pressure for a cast-iron elliptical 

 manhole cover 20 inches long, 13 inches wide, and 1J inches thick, 

 if the maximum unit-stress is limited to 3000 pounds per square inch. 



