Force Exerted by Contracting or Stretching a Material

on . Posted in Classical Mechanics

force contracting or stretchingTags: Spring

Any 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

\(\large{ F =  \frac{ \lambda \; A \; l_c  }{ l_o }  }\)     (Force Exerted by Contracting or Stretching a Material)

\(\large{ \lambda =  \frac{ F \; l_o  }{ A \; l_c }  }\)

\(\large{ A =  \frac{ F \; l_o  }{ \lambda \; l_c }  }\)

\(\large{ l_c =  \frac{ F \; l_o  }{ \lambda \; A }  }\)

\(\large{ l_o =  \frac{ \lambda \; A \; l_c  }{ F }  }\)

Symbol English Metric
\(\large{ F }\) = force exerted \(\large{lbf}\) \(\large{N}\)
\(\large{ \lambda }\)  (Greek symbol lambda) = modulus of elasticity \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ A }\) = origional area cross-section through which the force is applied \(\large{ft^2}\) \(\large{m^2}\)
\(\large{ l_c }\) = change in length \(\large{ft}\) \(\large{m}\)
\(\large{ l_o }\) = origional length \(\large{ft}\) \(\large{m}\)

 

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Tags: Spring