III - resultant of non-concurrent forces

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Transcript of III - resultant of non-concurrent forces

  • 1. III-RESULTANT OF NON-CONCURRENT FORCES R2 = Rx 2 + Ry 2 Rx =Fx Ry =Fy M = Rd =tan-1

2. Sample Problems Ex1. Replace the force system by a single force resultant and specify its coordinate point of application (x,0) on the x-axis. 3m O 2m 5kN 7kN 7kN 30 60 x y 1 1 3. Ex2. Replace the loading system acting on the post by a single resultant force and specify its point of application on the post measured from point O. 1m 3m 2m O 45 3 3 4 4 20N 70N 40N 60N 4. Ex3. Determine the resultant of the three forces acting on the dam shown in the figure and locate its intersection with the base AB. For a good design, the intersection should occur within the middle third of the base. Does it? W=24000 lb P=6000 lbA=10000 lb 7 ft 6 ft 4 ft 18 ftA B 5. The resultant of the three forces is a force R that passes through point B. Determine R and F. 6. The resultant of the belt tensions and the couple C is a force R acting through point O. Determine C and R. 7. The resultant of the force system shown is a 50- Nm counterclockwise couple. Find P, Q and C.