Plumbing gradient invert chain calculator

Calculate invert elevations after each segment and total fall with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use invert elevations after each segment and total fall to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Starting invert elevation (m)
100
Horizontal segment lengths (m)
10,20,5
Segment gradients (percent)
1,2,1.5
Invert elevations after each segment (JSON)
[99.9,99.5,99.425]
Total fall (m)
0.575

Try another scenario

Starting invert elevation (m)
101
Horizontal segment lengths (m)
[10, 20, 5]
Segment gradients (percent)
[1, 2, 1.5]
Invert elevations after each segment (JSON)
[100.9,100.5,100.425]
Total fall (m)
0.575
Calculation method

Calculation method

Invert elevations after each segment (JSON)

Chain supplied falls sequentially; positive gradient slopes downward.

Total fall (m)

Chain supplied falls sequentially; positive gradient slopes downward.

Symbols and units
a
Starting invert elevation (m)
b
Horizontal segment lengths (m)
c
Segment gradients (percent)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Chain supplied falls sequentially; positive gradient slopes downward. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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