Two couples act on the cantilever beam. If F = 6 kN, determine the resultant couple moment.
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To find the resultant couple moment, we will write two separate equations to find the moment created by the 5 kN force, and the 6 kN force. To do so, we must first express each force in their x and y components.
All components of each force is shown in dashed lines.
Assuming clockwise moments are positive, we can write the following:
For the 5 kN forces:
For the 6 kN forces:
The resultant couple moment is then:
M_c=5.2 kN•m (clockwise)