The method of composite parts to calculate the resultant and its location for a distributed force along a straight line:

• Break distributed force into standard shapes
• Use a reference to identify the location of the centroid for each of the standard shapes

1. Add up the forces
2. To find the location of the forces, develop the composite centroid-sum moment:

$x_r|F_r|=x_1{F}_1+x_2{F}_2+...$ $x_r=\frac{x_1{F}_1+x_2{F}_2+...}{|F_r|}$

Parallel Force Systems

$x=\sum \frac{F_i{x}_i}{F_r}$ $y=F_r$