Beam slope and deflection table

Here's a table with the slopes and deflections of some common statically determinate beams. Using these kinds of tables can greatly speed up many mechanics of materials and structural analysis problems. The positive sign convention for the outputs is defined in orange, and the equations assume that the external loading is applied in the direction specified on the drawing. If your loading is opposite (for example, a counter-clockwise applied moment at point B on the cantilever beam) then make sure you input it as a negative value. Please take a second to actually think about the answers you get from using these shortcuts. If the formula is telling you that your displacement is upwards, but you think it should be downwards, then check your work for errors until you are satisfied.