Figure 1.8 : Resultant of the forces acting on the body
R = F1+F2+F3+..............= ∑F
M = M1+M2+M3+............. = ∑(r × F)
Figure 1.8 : Resultant of the forces acting on the body
| Fundamentals of Engineering Mechanics |
Resultant of the forces acting on a body: For the system of forces F1, F2, F3 ..... acting on a rigid body in Fig 1.8 we may move each of force to the arbitrary point O, provided we also introduce a couple for each force transferred. Thus, for example we may move force F1 to O, provided we introduce the couple M1 = r1× F1, where r1 is a vector O to any point on the line of action of force F1 . When all the forces are shifted to O in this manner, we have a system of concurrent forces at O and a system of couple vectors.The concurrent forces may then be added vectorically to produce a resultant force R, and the copules may also be added to produce a resultant couple M. The general force system then is reduced to, |