Resolution of forces#
THe resolution of forces allows you to split up a force in other directions. In most cases, resolution of forces in the direction of the global or local coordinate system is most useful.
The resolution of forces works both for planar forces (at least one of \(R_x\), \(R_y\) or \(R_z\) equals \(0\)), and forces in 3-dimensional space. An example of both of these forces is shown in Fig. 18. In statics, mostly planar structures are considered, but the procedure of composing and resolving force are identical.

Fig. 18 Planar force vs 3-dimensional force#
Read chapter 2.1.3 for planar forces and 2.2.1 for forces in 3-dimensional space of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006).
Exercises#
If you’re a TU Delft student, you can practise with
exercises on resolution of forces.
Exercises 2.9 - 2.12, 2.13b, 2.14 - 2.18, 2.19b, 2.20 - 2.24 in chapter 2.4 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006). Answers are available on this website.