Find the Reactions for the Garage Door Supports – Static Equilibrium of Rigid Bodies Part 22

In this video, we find the reactions at the supports for the element/member/system/beam shown due to the applied forces. This problem is solved using static equilibrium of rigid bodies and the property that all forces, internal and external, must cancel and counteract each other so all forces sum to be zero, including reactions at supports. SUBSCRIBE to my channel for similar videos and problem walkthroughs. Also, by SUBSCRIBING, you help this video reach others just like you. Make sure to leave a LIKE if this video was helpful. Please check out videos on the channel, as we cover many different topics. Problem statement: A 160 lb overhead garage door consists of a uniform rectangular panel AC, 84 inches long, supported by the cable AE attached at the middle of the upper edge of the door and by two sets of frictionless rollers at A and B. Each set consists of two rollers located on either side of the door. The rollers A are free to move in horizontal channels, while the rollers B are guided by vertical channels. If the door is held in the position for which BD = 42 inches, determine (a) the tension in cable AE, (b) the reaction at each of the four rollers. Problem walkthrough steps: Draw a free body diagram Determine how many and what type of reactions is problem has Assume arrow directions for reactions Use the three equilibrium equations of summation, X, Y and Moment to determine the reaction values Check answers Topics of this problem include: Free Body Diagram (FBD) Solve a statics equilibrium problem with multiple unknowns Determining equilibrium Equilibrium of rigid bodies Reactions Beam reactions Support reactions Assuming reaction arrow directions Summation of forces in the x and y directions Summation of moment about a point Vector Addition Force combination Vector combination Vector Mechanics Orthogonal vectors Summing forces to be zero Calculation of reactions Find the reactions Determining support type How many reactions at support Beer Johnston problem 4.19 Engineering statics Reaction Problem 22 College level Professor Engineer Professor_Engineer