Edupanda » Mechanika techniczna » Statics - Planar force system » Reduction of a planar arbitrary system of forces
List of examples
Example 1
The force system is given to be planar. a) Reduce the system at point A b) Reduce the system at point B c) Simplify the system to its simplest form. Draw the result of the reduction
Example 2
There is a flat force system. a) Reduce the system at point A b) Reduce the system at point B c) Reduce the system to its simplest form. Draw the result of the reduction
\begin{aligned} &F_{1}=5 k N \\ &q_{2}=6 k N / m \\ &F_{3}=8 k N \end{aligned}
Example 3
A flat force system is given. a) Reduce the system at point A b) Reduce the system at point B c) Simplify the system to its simplest form. Draw the result of the reduction
\begin{aligned} &F_{1}=6 \sqrt{41} k N \\ &F_{2}=12 k N \\ &F_{3}=5 \sqrt{5} k N \\ &F_{4}=3 \sqrt{2} k N \\ &F_{5}=2 \sqrt{13} k N \\ &F_{6}=\sqrt{29} k N \end{aligned}Example 4
A flat force system is given. a) Reduce the system at point A b) Reduce the system at point B c) Simplify the system to its simplest form. Draw the result of the reduction
\begin{aligned} &F_{1}=2 \sqrt{2} k N \\ &F_{2}=3 \sqrt{2} k N \\ &F_{3}=4 \sqrt{13} k N \\ &M_{4}=200 k N m \\ &M_{5}=k N m \\ &F_{6}=17 \sqrt{34} k N \\ &F_{7}=10 \sqrt{29} \mathrm{kN} \end{aligned}Example 5
The force system is planar. a) Reduce the system at point A b) Reduce the system at point B c) Simplify the system to its simplest form. Draw the result of reduction.
\begin{aligned} &q_{1}=2 \mathrm{kN} / \mathrm{m} \\ &q_{2}=6 \mathrm{kN} / \mathrm{m} \\ &q_{3}=6 \mathrm{kN} / \mathrm{m} \\ &q_{4}=5 \mathrm{kN} / \mathrm{m} \\ &q_{5}=10 \mathrm{kN} / \mathrm{m} \\ &q_{6}=1 \mathrm{kN} / \mathrm{m} \end{aligned}