Quick Answer
Calculate Digital Level Staff Reading Standard Deviation Estimator (Automatic Leveling)
Calculator
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Find Engineering Solutions →Result Interpretation
Digital Level Staff Reading Standard Deviation Estimator (Automatic Leveling) calculator computes Standard Deviation of Staff Reading in m using the defined engineering formula and the input values provided. Standard Deviation of Staff Reading is expressed in m. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Digital Level Resolution Error = 0.0001
- Staff Graduation Error = 0.0002
- Atmospheric Refraction Error = 0.00015
Expected Result:
- Standard Deviation of Staff Reading = 0.00026925824035673
Engineering Interpretation:
Under the given input conditions, the calculated result is: Standard Deviation of Staff Reading = 0.00026925824035673 m.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
standard deviation of staff reading = sqrt(pow(digital level resolution error, 2) + pow(staff graduation error, 2) + pow(atmospheric refraction error, 2))Formula family: formula_survey_digital_level_staff_reading_standard_deviation_estimator_automatic_leveling
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| resolution_error | Digital Level Resolution Error | INPUT | Digital Level Resolution Error |
| graduation_error | Staff Graduation Error | INPUT | Staff Graduation Error |
| refraction_error | Atmospheric Refraction Error | INPUT | Atmospheric Refraction Error |
| result | Standard Deviation of Staff Reading | OUTPUT | Standard Deviation of Staff Reading |
Calculation Steps
- Enter the digital level resolution error in m.
- Enter the staff graduation error in m.
- Enter the atmospheric refraction error in m.
- Step 1: Compute standard deviation of staff reading.
- Read the standard deviation of staff reading (m) from the results.
Engineering Summary
Calculate Digital Level Staff Reading Standard Deviation Estimator (Automatic Leveling)
Frequently Asked Questions
What does this calculator calculate?
The Digital Level Staff Reading Standard Deviation Estimator (Automatic Leveling) calculator estimates Standard Deviation of Staff Reading based on the input parameters you provide
Why is digital level resolution error important in this calculation?
digital level resolution error is used directly in the calculation of standard deviation of staff reading. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter digital level resolution error in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result standard deviation of staff reading?
The calculator outputs standard deviation of staff reading in m. 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: Digital Level Resolution Error (m), Staff Graduation Error (m), Atmospheric Refraction Error (m). 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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