CALCS BAS002
4VECTOR POLYGON

NOTATION

P0point, at which vectors act
V1id of known vector
V2id of an unknown vector
V3id of an unknown vector
V4id of an unknown vector
Prresultant vector
PX vector component parallel to X axis (right hand set)
PYvector component parallel to Y axis
PZvector component parallel to Z axis

APPLICATION

Force acting at a point in 3D space reacted by three forces

OUTPUT

Magnitude and direction of reaction forces

SEE ALSO

other progs & procs

THEORY

Equalibrium equations are solved by Cramer's Rule

GUIDANCE

3D equivalent to triangle of forces in 2D space. If Vector4 is normal to the plane containing Vectors 2 & 3 then the orientation of Vector4 is calculated and no input is required for it.

INPUT FORMAT

DAT002title
VECTORXYZPr
P0tabdelimiteddata
V1entertabdelimiteddata
V2tabdelimiteddata
V3tabdelimiteddata
V4tabdelimiteddata
ENDDAT

EXAMPLE

Input

DAT002example
VECTORXYZPr
P01.25.42.7
V10.50.70.255
V2113341
V33.27.15.8
V42.247.6
ENDDAT

Output

DAT002
INPUTexample
VECTORXYZPrPXPYPZ
V10.50.70.255-7.17-48.1-25.60
V211334171.714.5841.0857.006
V33.27.15.8-2.99-1.47-1.25-2.286
V42.247.6-30.8-5.948.317-29.11
END002