Arch Thrust Calculator
Ideal three-hinged parabolic arch under uniform HORIZONTAL-span load wL²/(8f), not arbitrary arch shape/load. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.
Description
An ideal three-hinged parabolic arch can balance a uniform horizontal load through horizontal thrust.
An ideal three-hinged parabolic arch can balance a uniform horizontal load through horizontal thrust.1
The formula assumes the declared load distribution and geometry. Use Arch Thrust Calculator to evaluate the supplied inputs under the specific model below.
When to use Arch Thrust Calculator
Use Arch Thrust Calculator to evaluate the supplied inputs under the specific model below. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.
How to use Arch Thrust Calculator and understand its results
- Establish the units, measurement scope and applicable model or recipe assumptions before entering values.
- Enter Uniform horizontal arch load n m, Arch span m, Arch rise m using the field table and validation rules below, then run the tool.
- Read Three hinge parabolic arch horizontal thrust n and interpret units, signs, ordering and placeholders as explained below.
- If the tool reports an input error, correct that field and rerun. A successful false result, empty match list or unknown-evidence placeholder has the specific meaning described here; check the limitations before applying the result.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| uniformHorizontalArchLoadNM | Uniform horizontal arch load n m | number | Required; constraints below |
| archSpanM | Arch span m | number | Required; constraints below |
| archRiseM | Arch rise m | number | Required; constraints below |
Enter nonnegative uniform load per horizontal span in N/m, positive span L in m and rise h in m. Compute wL²/(8h) for the adopted three-hinge parabolic idealization. No arbitrary arch geometry, thrust-line check or structural capacity assessment is performed.
horizontalThrustN = w×L²/(8h) Field order, units and branch conditions follow the implementation explanation above.
| Output field | Meaning | Value type |
|---|---|---|
| threeHingeParabolicArchHorizontalThrustN | Three hinge parabolic arch horizontal thrust n | number |
{
"input": {
"uniformHorizontalArchLoadNM": 2,
"archSpanM": 4,
"archRiseM": 1
},
"output": {
"threeHingeParabolicArchHorizontalThrustN": 4
}
}Limitations and assumptions
The formula assumes the declared load distribution and geometry. Apply the exact scope and assumptions described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are stated above; extremely large inputs or outputs can also be rejected. These errors differ from successful results such as false, no matches or unknown evidence.
Alternative or Complementary methods
Use Bracket Plate Yield Calculator for a related task: A rectangular plate's plastic moment can be converted into an ideal cantilever point load.
Use Concrete Shrinkage Crack Control Calculator for a related task: Restrained shrinkage can be compared with a tensile threshold through a reduced elastic stress model.
References
-
Arch Thrust Calculator — tool.io
Similar or alternative tools
- Bracket Plate Yield Calculator
A rectangular plate's plastic moment can be converted into an ideal cantilever point load.
- Concrete Shrinkage Crack Control Calculator
Restrained shrinkage can be compared with a tensile threshold through a reduced elastic stress model.