Example Problem Given : B F F = 500 N = 45 2 m Find : A C - PowerPoint PPT Presentation

Example Problem Given : B F F = 500 N θ = 45º 2 m Find : θ A C Force in each 2 m member

Example Problem Solution B 500 N B F Given: F = 500 N 2 m 2 m θ = 45º Find: θ 2 m 2 m 45º Force in each member A C A x Solution: C y  A y 1-FBD  F 0 x 2-Support Reactions  500  A 0 x    500 500 A x or N B 500 N   M 0 A     C 2 500 2 0 y 2 m   C y 500 N   45º 2 m F 0 A y C  500  A 0 500 N y    500 500 A y or N 500 N 500 N

Example Problem Solution B Given: 500 N F = 500 N θ = 45º 2 m Find: Force in each member Solution: 45º 2 m A C 1-FBD 500 N 2-Support Reactions 500 N 500 N 3-Joint FBDs Joint A Joint B Joint C AB BC 500 N 45º 45º AC AC 500 N BC AB 500 N 500 N

Example Problem Solution Joint B Given: Joint A F = 500 N AB 500 N θ = 45º Find: 45º Force in each member BC AC 500 N Solution: AB 1-FBD 500 N 500 N 2-Support Reactions   3-Joint FBDs   F 0 F 0 x x  500   BC   AC 0 500 sin 45 0   AC 500 N T BC 707 N C   F 0 y B  500  AB 0  AB 500 N T 500 T Results shown in a force diagram 500 T A C