Redukcja dowolnego przestrzennego układu sił

Reduction result

1) Zero solution (\(\overline{S} =0, \overline{M_0}=0\))
2) Pair of forces with moment \(\overline{M_0}\) (\(\overline{S}=0, \overline{M_0}\ne 0\))
3) Resultant (\(\overline{S} \ne 0, k=\overline{S}\cdot \overline{M_0}=0\))
4) Torque (\(\overline{S} \ne 0, \overline{M_0} \ne 0, k=\overline{S}\cdot \overline{M_0} \ne 0 )\)
Reduction to torque:
Torque moment: \(\overline{M_S}=\frac{k}{|\overline{|S|^2}}\cdot \overline{S}=(x_{ms}, y_{ms}, z_{ms})\)
Torque central line \(\overline{M_S}=\overline{M_0}+\overline{S} \times \overline{OS}\)