Question

The stress in the material of a pipe subject to internal pressure varies jointly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the pipe. The stress is 100 pounds per square inch when the diameter is 5​ inches, the thickness is 0.75​ inch, and the internal pressure is 25 pounds per square inch. Find the stress when the internal pressure is 15 pounds per square inch if the diameter is 5 inches and the thickness is 0.35 inch.

Answer 1

stress is 128.57 pounds per square inch

Step-by-step explanation:

given data

stress = 100 pounds per square inch

diameter = 5​ inches

thickness = 0.75​ inch

internal pressure = 25 pounds per square inch

to find out

Find the stress when internal pressure = 15 pounds per square inch and diameter = 5 inches and thickness = 0.35 inch

solution

we know that stress is directly proportional to
`(pressure*dia)/(thickness)`

so

stress = K
`(pressure*dia)/(thickness)` ..............1

here k is constant so find K first put all value given

100 = K
`(25*5)/(0.75)`

K = 0.6

so now put value of K and remaining value in equation 1 to find stress

stress = 0.6
`(15*5)/(0.35)`

stress = 128.57

so stress is 128.57 pounds per square inch