Force Exerted by Contracting or Stretching a Material

on . Posted in Classical Mechanics

force contracting or stretchingAny strain exerted on a material causes an internal elastic stress.  The force applied on a material when contracting or stretching is related to how much the length of the object changes.

 

Force Exerted by Contracting or Stretching a Material formula

\( F =  \lambda \; A \; l_c  \;/\; l_o \)     (Force Exerted by Contracting or Stretching a Material)

\( \lambda =  F \; l_o  \;/\; A \; l_c \)

\( A =   F \; l_o  \;/\; \lambda \; l_c \)

\( l_c =  F \; l_o  \;/\; \lambda \; A \)

\( l_o =  \lambda \; A \; l_c  \;/\; F \)

Symbol English Metric
\( F \) = Force Exerted \(lbf\) \(N\)
\( \lambda \)  (Greek symbol lambda) = Modulus of Elasticity \(lbf\;/\;in^2\) \(Pa\)
\( A \) = Rigional Area Cross-Section Through Which the Force is Applied \(ft^2\) \(m^2\)
\( l_c \) = Change in Length \(ft\) \(m\)
\( l_o \) = Origional Length \(ft\) \(m\)

 

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Tags: Force Spring Compression and Expansion