Boundary Depth Scans

projected-force-floor-three-row-scan

A half-projection line source is scanned below, at, and above a useful pull floor. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Projected force is scanned by changing the line-force source

The two-surface line length is 2 m so the checked line-force source is 12 N. The projection factor stays 1 over 2. That leaves projected pull 6 N which is below boundary relative to the 12 N floor.

Fp=pF=12⋅12 N=6 NF_p=pF=\frac{1}{2}\cdot12\ \text{N}=6\ \text{N}
Projected-force rowHalf projection through three source strengths.lengthforceprojected forcebelow boundary

Projected force is scanned by changing the line-force source

The two-surface line length is 4 m so the checked line-force source is 24 N. The projection factor stays 1 over 2. That leaves projected pull 12 N which is on boundary relative to the 12 N floor.

Fp=pF=12⋅24 N=12 NF_p=pF=\frac{1}{2}\cdot24\ \text{N}=12\ \text{N}
Projected-force rowHalf projection through three source strengths.lengthforceprojected forceon boundary

Projected force is scanned by changing the line-force source

The two-surface line length is 6 m so the checked line-force source is 36 N. The projection factor stays 1 over 2. That leaves projected pull 18 N which is above boundary relative to the 12 N floor.

Fp=pF=12⋅36 N=18 NF_p=pF=\frac{1}{2}\cdot36\ \text{N}=18\ \text{N}
Projected-force rowHalf projection through three source strengths.lengthforceprojected forceabove boundary