A $15-$meter simply supported beam has the following loads:

A point load of $100$ N at $3$ m from the left support.

A uniformly distributed load $($UDL$)$ of $20\frac{N}{m}$ from $6$ m to $12$ m$.$

A moment of $150N*m$ applied at $8$ m from the left support.

Tasks:

Determine the reactions at the supports.

Draw the Shear Force Diagram $($SFD$).$

Draw the Bending Moment Diagram $($BMD$).$

Identify the point of maximum bending moment and its magnitude.