General Equilibrium Problems (example continued)
Example: (continued) Examination of the FBD shows that the unknown reactions are Ax, Ay, and By. Note: The pin support offers two reactions whereas the roller only a vertical reaction. |
Next write and solve the equations of equilibrium to determine the support reactions. They are: ΣFx = 0, ΣFy = 0, ΣMconvenient point = 0
Pick the convenient point to sum moments to be point A. Counterclockwise Σ MA = 0 gives By (12) - 120 (6) - 180 (8) = 0 which yields By = 180 kips and from the second equation of equilibrium Ay = 120 kips (results) Note: Integration could have been used to determine the distributed loading on the beam. |
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