Determine the magnitude of F so that the resultant couple mo

Determine the magnitude of F so that the resultant couple moment acting on the beam is 1.5 kN middot m clockwise.

Solution

The moment of couple is equal to the force multiplied by the distance between the couple of forces

So therefore sigma M = F (2*0.9) -2*10^3 ( 2*0.3)

1.5*10^3 = 1.8F - 1.2*10^3

1.8F =0.3 *10^3

F = 166.6N