Lab · Engineering Mechanics
Statics & Equilibrium
A planar force system, its resultant, and the support reactions that hold it — solved from the same three equilibrium equations throughout.
Presets
Forces
Couples
Uniform distributed loads
Supports
Reference member
Drawn from (0, 0) to (L, 0). Use 0 for no member.
L is reference geometry for reading the diagram. Changing it redraws the member only: it does not move any force, support, couple or distributed load, and it never enters ΣFx, ΣFy or ΣM. Application points stay free anywhere in global x–y, inside or outside [0, L].
Moment reference point
Diagram
Select a vector, support, couple or distributed load to inspect its exact values.
Resultant
Resultant force
90° counter-clockwise from +x
| Rx | 0 N |
|---|---|
| Ry | 500 N |
| |R| | 500 N |
| Direction θ | 90° |
| M_O | 1000 N·m |
Assumptions
- · Planar rigid-body statics: +x right, +y up, moments positive counter-clockwise.
- · The horizontal member from (0, 0) to (L, 0) is reference geometry only: it is drawn, never solved, and it does not constrain where loads or supports act.
- · A uniform distributed load is replaced by its equivalent force w·L acting at the segment midpoint.
- · Supports are ideal; a negative reaction acts opposite the assumed direction.
- · Indeterminate and inconsistent systems are reported as such — no extra assumption is invented to force a solution.
What this Lab models
A planar rigid body under applied forces, couples and uniform distributed loads, held by idealised supports — reduced to a resultant about a chosen point and, separately, solved for support reactions from the same three equilibrium equations.