Strut-and-Tie Force Calculator

Solve independently assembled determinate strut-and-tie equilibrium matrix up to32 unknowns, signs follow caller columns; no admissible stress field or code design. 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

A strut-and-tie force calculation requires an independently formulated equilibrium system.

A strut-and-tie force calculation requires an independently formulated equilibrium system.^[1]

Solving its matrix does not choose the topology or verify stress capacity and detailing. Use this tool to calculate strut-and-Tie Force from the supplied measurements and assumptions.

When to use Strut-and-Tie Force Calculator

Use this tool to calculate strut-and-Tie Force from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.

How to use Strut-and-Tie Force Calculator and understand its results

Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
Enter callerStrutTieEquilibriumMatrix, callerExternalEquilibriumRhs, using the field meanings and rules below, then run the tool.
Read signedStrutTieForces. Interpret the fields using their units, signs and evidence conventions below.
If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.

Input field	Meaning	Value type	Requirement
callerStrutTieEquilibriumMatrix	Caller strut tie equilibrium matrix	list of list of number	Required
callerExternalEquilibriumRhs	Caller external equilibrium rhs	list of number	Required

Enter a square 1–32 matrix and matched finite right-hand-side force vector for an independently formulated system. Normalize each row by its largest absolute coefficient and apply pivoted Gauss-Jordan elimination; normalized pivot magnitude below 1e−12 fails. Return signed solved forces without constructing the strut-and-tie model or checking capacity.

A×memberForces=externalEquilibriumVector

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output field	Meaning	Value type
signedStrutTieForces	Signed Strut Tie Forces; follow the units, sign, ordering and evidence convention stated above	list of number

json

{
  "input": {
    "callerStrutTieEquilibriumMatrix": [
      [
        1,
        0
      ],
      [
        1,
        1
      ]
    ],
    "callerExternalEquilibriumRhs": [
      2,
      5
    ]
  },
  "output": {
    "signedStrutTieForces": [
      2,
      3
    ]
  }
}

Limitations and assumptions

Solving its matrix does not choose the topology or verify stress capacity and detailing. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Truss Joint Force Calculator for this related task: Two unknown truss forces can be resolved from planar joint equilibrium.

Use Eccentric Weld Group Shear Calculator when its separate inputs and assumptions fit the question: An eccentric weld-group model combines direct shear with moment-related traction.

References

Strut-and-Tie Force Calculator — tool.io

Similar or alternative tools

Truss Joint Force Calculator
Two unknown truss forces can be resolved from planar joint equilibrium.
Eccentric Weld Group Shear Calculator
An eccentric weld-group model combines direct shear with moment-related traction.