Compression

on . Posted in Classical Mechanics

stress 2compression 1Compression, abbreviated as K, is the force (pressure) acting on a material.  Compression is the process of reducing the volume or increasing the density of a substance, typically by applying external forces.  It involves the application of pressure to compress or squeeze a material, resulting in a decrease in its volume.

Compression is a fundamental concept in physics and engineering.  It is used in various applications, including power generation, manufacturing, construction, transportation, and materials science.  Understanding the behavior of materials under compression is crucial for designing structures, machines, and systems that can withstand and utilize compressive forces effectively.

 

Compression formula

\(\large{ \Delta l =  l_f - l_i  }\)
Symbol English Metric
\(\large{ \Delta l }\) = length change \(\large{ in }\) \(\large{ mm }\)
\(\large{ l_f }\) = final length \(\large{ in }\) \(\large{ mm }\)
\(\large{ l_i }\) = initial length \(\large{ in }\) \(\large{ mm }\)

 

Compression formula

\(\large{ \Delta d =  d_f - d_i  }\)
Symbol English Metric
\(\large{ \Delta l }\) = depth change \(\large{ in }\) \(\large{ mm }\)
\(\large{ d_f }\) = final depth \(\large{ in }\) \(\large{ mm }\)
\(\large{ d_i }\) = initial depth \(\large{ in }\) \(\large{ mm }\)

 

Compression formulas

\(\large{ \Delta d =  \epsilon_{di} \; d_i  }\) 

\(\large{ \Delta d =  \frac{ \mu \; \sigma }{ \lambda } \; d_i  }\) 

\(\large{ \Delta d =  \frac{ \mu \; p }{ \lambda \; A } \; d_i  }\) 

\(\large{ \Delta l =  l_f - l_i  }\)

\(\large{ \Delta l =  \lambda \; l_i  }\)

\(\large{ \Delta l =  \frac{ \sigma }{ \lambda } \; l_i  }\)

\(\large{ \Delta l =  \frac{ p }{ \lambda \; A } \; l_i  }\) 

Symbol English Metric
\(\large{ \Delta d }\) = depth change \(\large{ in }\) \(\large{ mm }\)
\(\large{ \Delta l }\) = length change \(\large{ in }\) \(\large{ mm }\)
\(\large{ A }\) = area \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ \lambda }\)  (Greek symbol lambda) = elastic modulus \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ l_f }\) = final length \(\large{ in }\) \(\large{ mm }\)
\(\large{ l_i }\) = initial length \(\large{ in }\) \(\large{ mm }\)
\(\large{ \mu }\)  (Greek symbol mu) = Poisson's Ratio \(\large{ dimensionless }\)
\(\large{ p }\) = pressure under consideration \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ \epsilon }\)  (Greek symbol epsilon) = strain \(\large{\frac{in}{in}}\) \(\large{\frac{mm}{mm}}\)

 

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Tags: Strain and Stress