Coefficient of stiffness from area and length
=============================================

The *stiffness* coefficient depends on the Young's modulus, cross-sectional area and length.
Young's modulus is a tabular value that is different for each material.

**Links:**

#. `Wikipedia, first formula <https://en.wikipedia.org/wiki/Stiffness#Relationship_to_elasticity>`__.

.. py:currentmodule:: symplyphysics.laws.dynamics.coefficient_of_stiffness_from_area_length

.. py:data:: stiffness

    The :attr:`~symplyphysics.symbols.classical_mechanics.stiffness` coefficient of the material.

Symbol:
    :code:`k`

Latex:
    :math:`k`

Dimension:
    :code:`force/length`


.. py:data:: young_modulus

    The :attr:`~symplyphysics.symbols.classical_mechanics.young_modulus` of the material.

Symbol:
    :code:`E`

Latex:
    :math:`E`

Dimension:
    :code:`pressure`


.. py:data:: area

    The cross-sectional :attr:`~symplyphysics.symbols.classical_mechanics.area` of the object.

Symbol:
    :code:`A`

Latex:
    :math:`A`

Dimension:
    :code:`area`


.. py:data:: length

    The :attr:`~symplyphysics.symbols.classical_mechanics.length` of the object.

Symbol:
    :code:`l`

Latex:
    :math:`l`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`k = E * A / l`


    Latex:
        .. math::
            k = \frac{E A}{l}