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Propagate uncertainty components using GUM-compliant RSS summation

To quantify total metrological confidence in the transmitter’s indicated pressure value by rigorously combining independent uncertainty sources (reference standard, environmental drift, repeatability, hysteresis, resolution).

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Quick Answer

The propagate uncertainty components using gum-compliant rss summation computes u_c from the input values you provide.

Calculator

u_c (Pa)
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Result Interpretation

Propagate uncertainty components using GUM-compliant RSS summation computes u_c in Pa using the defined engineering formula and the input values provided. u_c is expressed in Pa. No universal acceptance threshold is defined by this calculator.

Worked Example

normal_5comp

Given:

  • u_hys = 20
  • u_ref = 100
  • u_rep = 30
  • u_res = 10
  • u_temp = 50

Expected Result:

  • u_c = 117.8983

Engineering Interpretation:

Under the given input conditions, the calculated result is: u_c = 117.8983 Pa.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

u_c = sqrt(pow(u_ref, 2) + pow(u_temp, 2) + pow(u_rep, 2) + pow(u_hys, 2) + pow(u_res, 2))

u_c.

Variables

SymbolLabelRoleDescription
u_ref u_ref INPUT u_ref
u_temp u_temp INPUT u_temp
u_rep u_rep INPUT u_rep
u_hys u_hys INPUT u_hys
u_res u_res INPUT u_res
u_c u_c OUTPUT u_c

Calculation Steps

  1. Enter the u_ref in Pa.
  2. Enter the u_temp in Pa.
  3. Enter the u_rep in Pa.
  4. Enter the u_hys in Pa.
  5. Enter the u_res in Pa.
  6. Step 1: Compute u_c.
  7. Read the u_c (Pa) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Propagate uncertainty components using GUM-compliant RSS summation estimates u_c based on the input parameters you provide

Why is u_ref important in this calculation?

u_ref is used directly in the calculation of u_c. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter u_ref in Pa, the calculator uses it in the engineering formula to compute the output

How should I interpret the result u_c?

The calculator outputs u_c in Pa. For higher pressures, divide by 1000 to express in kPa, or by 101325 for atmospheres. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: u_ref (Pa), u_temp (Pa), u_rep (Pa), u_hys (Pa), u_res (Pa). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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