With the following online calculator for beam bending, you can determine the deformation, support reactions, bending moments and bending stresses for a statically overdetermined, both sides clamped beam under line load. There are tools for cross-section calculation and profile selection.
Some notes
Statically overdetermined systems occur frequently in practice, but cannot be solved solely with the aid of static equilibrium conditions. In the present case, this is easy, since it is a symmetrical arrangement and thus a uniform distribution of forces.
The online calculator shown here is based on the Bernoulli beam bending.
Information on the moduli of elasticity for different materials is available by clicking on the blue "i". The modulus of elasticity (Young's modulus) for steel is 210 GPa.