The beam shown below carries three vertical loads and one uniformly distributed load of $10\frac{N}{m},$ where $F_1=54N$ and $F_2=65N.$ Calculate the reactions at supports A and $B.$ Neglect the weight of the beam.

Start by drawing a free$-$body diagram of the beam, including the reaction forces at pin joint A and roller joint $B.$ Replace the uniformly distributed load with its equivalent concentrated resultant force. Enter the magnitude of this resultant in $N,$ rounded to the nearest whole number.