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Böge Problem Collection Example 85: The two rods AC with length l1 = 3 m and BC with length l2 = 1 m are rotatably mounted at points A and B and connected to each other by a hinge at point C. A force F = 1 kN acts at the midpoint of rod AC at an angle α = 45°. Find: a) the magnitude of the supporting force in rod BC, b) the magnitude of the supporting force at point A, c) the angle that this supporting force F forms with rod AC. Problem and image citation from `Problem Collection Engineering Mechanics` `23rd, revised and expanded edition` `Springer Vieweg © Springer Fachmedien Wiesbaden 2017 Alfred Böge, Gert Böge, Wolfgang Böge Illustrations: Graphik & Text Studio Dr. Wolfgang Zettlmeier, Barbing Klementz Publishing Services, Freiburg` `lernflix.at` offers individual online tutoring in mechanics and statics. ``` For more information, go to https://lernflix.at In this video, I calculate the support reaction of a rigid beam with fixed and floating supports and an oblique force. First, I isolate the components (free-body diagram) and then set up the equilibrium conditions. The equations can then be rearranged to solve for the desired support reactions and calculated. Tip: When setting up the moment equilibrium, choose a pivot point through which as many forces as possible pass. This way, they won't appear in the equilibrium conditions. Why? Quite simply: The lever arm will then be zero.