Edupanda » Mechanika techniczna »  Statics - Spatial force system » Reduction of a spatial arbitrary system of forces

List of examples

Example 1

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There is a spatial force system.
a) Reduce the system at point A
b) Reduce the system at point B
c) Simplify the system to the simplest form.
\begin{aligned} &F_{1}=2 \mathrm{kN} \\ &F_{2}=2 \mathrm{kN} \\ &F_{3}=2 \mathrm{kN} \\ &F_{4}=2 \mathrm{kN} \\ &a=1 \mathrm{~m} \end{aligned}

Example 2

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A spatial arrangement of forces is given.
a) Reduce the arrangement at point A
b) Reduce the arrangement at point B
c) Reduce the arrangement to its simplest form. Draw the result of the reduction

\begin{aligned} &F_{1}=5 k N \\ &F_{2}=2 k N \\ &F_{3}=2 k N \\ &F_{4}=5 k N \end{aligned}

Example 3

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There is a spatial arrangement of forces.
a) Simplify the arrangement at point A
b) Simplify the arrangement at point B
c) Simplify the arrangement to its simplest form.

\begin{aligned} &F_{1}=\sqrt{14} k N \\ &F_{2}=3 k N \end{aligned}

Example 4

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A spatial force system is given.
a) Reduce the system at point A
b) Reduce the system at point B
c) Simplify the system to the simplest form.

\begin{aligned} &F_{1}=1 kN \\ &F_{2}=2 \sqrt{21} kN \\ &F_{3}=4 kN \end{aligned}

Example 5

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A spatial force system is given.
a) Reduce the system at point A
b) Reduce the system at point B
c) Reduce the system to the simplest form.

\begin{aligned} &F_{1}=10 P \\ &F_{2}=\sqrt{2} P \\ &F_{3}=\sqrt{6} P \end{aligned}