A helical compression spring is required to provide a minimum force of 150 lb at installation and have a working deflection of 1 in. The spring rate is 75 lb/in. The coil must fit in a 2.1-in-dia hole with 0.1 in total clearance. Use 0.25-in diameter unpeened music wire and squared/ground ends. Use a 15% clash allowance, shear modulus G = 11.5 Mpsi, and weight density γ = 0.285 lb/in3. Assume Sys = 0.6Sut.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A helical compression spring is required to provide a minimum force of 150 lb at installation and have a working deflection of 1 in. The spring rate is 75 lb/in. The coil must fit in a 2.1-in-dia hole with 0.1 in total clearance. Use 0.25-in diameter unpeened music wire and squared/ground ends. Use a 15% clash allowance, shear modulus G = 11.5 Mpsi, and weight density γ = 0.285 lb/in3. Assume Sys = 0.6Sut.

Part A

Find the shear stress at the initial deflection.
Express your answer in pounds per square inch to three significant figures.
 
 
 
 
τiτi =
   
 

Part B

Find the mean stress.
Express your answer in pounds per square inch to three significant figures.
 
 

Part C

Find the alternating stress in the coil.
Express your answer in pounds per square inch to three significant figures.
 
 

Part D

Find the fatigue safety factor for infinite life in shear.
Express your answer using three significant figures.
 

Part E

Find the total number of coils.
Express your answer using three significant figures.
 

Part F

Find the shut height.
Express your answer in inches to three significant figures.
 
 

Part G

Find the free length.
Express your answer in inches to three significant figures.
 
 

Part H

Find the stress at the shut height.
Express your answer in pounds per square inch to three significant figures.
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