Example 6: Determine the resultant moment of the two forces about line aa.

figure
(Move the mouse pointer over the figure to see the moment vector)

Solution: We begin by calculating the moment of force F1 about line aa as

equation

where

equation

Using the triple scalar product, we find

equation

Repeating the calculations for F2, yields

equation

where

equation

Therefore, the resultant moment about line aa is

equation

We can express the moment resultant in Cartesian vector form as

equation