Parallel Forces Acting on a Beam

An example of several parallel forces acting on a beam will look like this:

With such a situation you will be required to determine the Resultant and it's point of application.

Karaona:

                       

        2.  Create a scaled Load line. Take all the parallel loads onto the Load line and label with small letters. Then, create a Polar diagram. Determine a spot for the Pole and join the loads to the Pole.

        3.  Create a Furnicular diagram: Project the forces A, B, C & D vertically down. Next: transfer the sloping pole lines to the area under the beam as shown below:

        4.  The furnicular diagram will determine the Resultant, and also locate the position and point of application. See below. Move the Resultant to the Polar diagram.

        5. From the Load line you can determine the reactions at RR and RL.