58 PROBLEMS IN STRENGTH OF MATERIALS 



551. The cylinder of an hydraulic press has an internal diameter 

 of 6 inches. Find its thickness to resist an interior hydrostatic pres- 

 sure of 1200 pounds per square inch, with a maximum stress in the 

 material of 2000 pounds per square inch. 



552. Determine the thickness for a steel locomotive cylinder 22 

 inches internal diameter, to withstand a maximum steam pressure of 

 200 pounds per square inch, with a factor of safety of 10. 



553. What inside pressure will produce a maximum stress of 

 20,000 pounds per square inch in a gun-tube 6 inches inside diameter 

 and 3 inches thick ? 



554. A pipe 6 inches inside diameter is to withstand an internal pres- 

 sure of 1000 pounds per square inch. Find its outside diameter, if the 

 maximum tensile stress in the metal is 3000 pounds per square inch. 



555. A wrought-iron cylinder, inside radius 2 inches and outside 

 radius 3 inches, has no inside pressure but an external pressure of 

 4200 pounds per square inch. Find the stresses at the inside and 

 outside surfaces of the cylinder. 



556. A gun-tube 3 inches inside radius and 5 inches outside radius 

 is hooped so that the tangential compression at the bore -is 14,400 

 pounds per square inch. The inside pressure caused by an explosion 

 is 25,000 pounds per square inch. Deter mine the resultant tangential 

 tension at the bore during the explosion. 



557. A gun-tube 4 inches inside diameter and 6 inches outside 

 diameter is hooped so that the tangential compression at the inside 

 surface is 18,000 pounds per square inch. Find the resultant tan- 

 gential stress at the bore during an explosion which causes a pressure 

 of 25,000 pounds per square inch. 



558. A gun-tube 4 inches inside diameter and 2 inches thick is 

 hooped so that the tangential compression on the inside surface is 

 30,000 pounds per square inch. What powder pressure will produce 

 a resultant tangential tension on the inside surface of 30,000 pounds 

 per square inch ? 



559. A steel hoop whose thickness is 2 inches is shrunk upon a 

 steel tube whose inside radius is 3 inches and outside radius 5 inches. 

 Find the stresses produced at the inside and outside surfaces of the 

 hoop and tube, if the original difference between the outside radius of 

 the tube and inside radius of the hoop is 0.004 inch. 



