Tension Change in Length

on 12 February 2022. Posted in Classical Mechanics

Tension Change in Length Formulas
\( \Delta d \;=\; d_i - d_f \) \( \Delta d \;=\; \epsilon_{di} \cdot d_i \) \( \Delta d \;=\; \dfrac{ \mu \cdot \sigma }{ \lambda } \cdot d_i \) \( \Delta d \;=\; \dfrac{ \mu \cdot p }{ \lambda \cdot A } \cdot d_i \) \( \Delta l \;=\; l_f - l_i \) \( \Delta l \;=\; \lambda \cdot l_i \) \( \Delta l \;=\; \dfrac{ \sigma }{ \lambda } \cdot l_i \) \( \Delta l \;=\; \dfrac{ p }{ \lambda \cdot A } \cdot l_i \)
Symbol	English	Metric
\( A \) = area	\( in^2 \)	\( mm^2 \)
\( d_f \) = final depth	\( in \)	\( mm \)
\( d_i \) = initial depth	\( in \)	\( mm \)
\( \Delta d \) = depth change	\( in \)	\( mm \)
\( \lambda \) (Greek symbol lambda) = elastic modulus	\(lbf\;/\;in^2\)	\(Pa\)
\( l_f \) = final length	\( in \)	\( mm \)
\( \Delta l \) = length change	\( in \)	\( mm \)
\( l \) = length under consideration	\( in \)	\( mm \)
\( \mu \) (Greek symbol mu) = Poisson's Ratio	\( dimensionless \)	\( dimensionless \)
\( p \) = pressure under consideration	\(lbf\;/\;in^2\)	\(Pa\)
\( \epsilon \) (Greek symbol epsilon) = strain	\(in\;/\;in\)	\(mm\;/\;mm\)
\( \sigma \) (Greek symbol sigma) = stress	\(lbf\;/\;in^2\)	\(Pa\)
\( \sigma_t \) (Greek symbol sigma) = tensile stress	\(lbf\;/\;in^2\)	\(Pa\)

Piping Designer Logo 1