Tension energy

Tension energy is the energy contained in a body due to its elastic deformation . It is a form of potential energy . The tensioning energy indicates how much work was done, for example, when tensioning a spring . This means that the spring has been compressed or stretched.

calculation

When a force acts along a path , the work is done: ${\displaystyle F(x)}$ ${\displaystyle s}$ ${\displaystyle W}$

${\displaystyle W=\int _{0}^{s}F(x)\,{\text{d}}x}$.

If an ideal spring is tensioned, the force applied is proportional to the deflection of the spring according to Hooke's law . The tensioning work performed here benefits the tensioning energy of the spring: ${\displaystyle s}$

${\displaystyle E_{\text{Spann}}={\frac {1}{2}}Ds^{2},}$

where is the spring constant and the deflection from the (relaxed) rest position. The unity is - as with all forms of energy - ${\displaystyle D}$ ${\displaystyle s}$

${\displaystyle \left[E_{\text{Spann}}\right]=1\,{\text{Nm}}=1\,{\text{J}}}$

The spring constant is the proportionality constant from Hooke's law. The following applies:

${\displaystyle D={\frac {F}{s}},}$

she carries the unity

${\displaystyle [D]=1{\frac {\text{N}}{\text{m}}}}$

As a good approximation, coil springs are ideal springs over a wide range. As a rule, however, the above does not apply to other elastic bodies (e.g. rubber bands ).

The same applies to torsion springs

${\displaystyle E_{\text{Spann}}={\frac {1}{2}}D^{\ast }\varphi ^{2}}$

where here stands for the directional moment and for the deflection angle. ${\displaystyle D^{\ast }}$ ${\displaystyle \varphi }$