point loads: a $20kN$ load at $2$ meters from the left support, and a $30kN$ load at $6$ meters from the left support. Calculate the reactions at the supports and determine the shear force and bending moment at different points along the beam.

$2-$ A simply supported beam with a length of $10$ meters is subjected to two distributed loads: a uniform load of $5k\frac{N}{m}$ over the first $4$ meters from the left support, and a triangular load varying from $0k\frac{N}{m}$ at the $4-$meter mark to $10k\frac{N}{m}$ at the $10-$meter mark. Calculate the reactions at the supports and determine the shear force and bending moment at different points along the beam.