1Force Vectors
2Force Diagrams
Concurrent forces at point — to scale
Force polygon — tip to tail
3Resultant
Horizontal — Rx
—
Σ F · cos θ
Vertical — Ry
—
Σ F · sin θ
Resultant — R
—
√(Rx² + Ry²)
Direction — θ
—
from +X axis, CCW
Balancing force
—
equal & opposite to R
4Component Working
| Force |
F |
θ |
Fx = F · cos θ |
Fy = F · sin θ |
Note — This calculator resolves concurrent coplanar forces acting at a single point into their resultant using vector addition. All forces are assumed to act in the same 2D plane. Angles are measured counter-clockwise from the positive X-axis. Verify equilibrium conditions independently for any structural application.