Determine maximum bending stresses

Constructing the moment diagram

Considering the segment
from x = 1 m to x = 1.5 m

     area under
                shear =   -5.00 kN-m
     concentrated
           moments =    0.00 kN-m
     total bending
            moment =   -5.00 kN-m

        at x = 1 m,     M =    +2.00 kN-m
           total bending
               moment   =    -5.00 kN-m
       at x = 1.5 m,   M =    -3.00 kN-m