Please show all steps and explain clearly. Thank you very much for your help! A

Question

Please show all steps and explain clearly. Thank you very much for your help!

A bicycle pump operates by the user pressing downward on the handle, creating pressure in a pneumatic cylinder that is then transmitted to the tire via a hose. A typical bicycle pump has a 1" diameter cylinder and generates up to 100psi pressure. The shaft connecting the pump handle to cylinder is .25" in diameter and 24" long What is the normal stress in the shaft at maximum pump pressure? a. b. An engineering student measured the strain in the shaft at maximum pressure to be 6.0uin/in. What is the length change in the pump shaft at maximum pressure?

Explanation / Answer

Solution:

Given data

P = 100 psi, Diameter of pump D = 1 inch

Diameter of shaft = .25 inch and length = 24 inch

we know that

Stress = force/Area

Pressure *area = Force

Force = 100*Pi/4(1)^2

= 78.54 Pounds

Stress in shaft = force/area

= 78.54/pi/4(.25)^2

= 1600 PSI

Strain = length/ change in length

6.0 = 24/change in length

change in length = 4 micro inch

Thank you

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