Determine the equivalent force$-$couple resultant $($force and moment$)$ at point A for the loading shown. It is known that $w_A=23k\frac{N}{m}$ and $w_B=70k\frac{N}{m}.$

$R=M=$

For a distributed load, the resultant of the distributed load is equal to the area under the curve. This resultant must be placed at the centroid of the area described by the load's curve. This ensures an equivalent system.

Break the distributed load up into two simple shapes.

For each shape, determine the area under the curve, and the location of the centroid.

Redraw beam $AB$ showing the two forces above the beam and two forces below the beam.

Next, move all forces to point $A,$ calculating the couple moment caused by moving each force. Sum forces and