Quick Answer
Calculate Shields Parameter Ratio for Open-Channel Sediment Stability (Non-Cohesive Bed)
Calculator
Result Interpretation
Shields Parameter Ratio for Open-Channel Sediment Stability (Non-Cohesive Bed) Calculator computes Shields parameter ratio in dimensionless using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Characteristic sediment grain diameter = 0.0015
- Gravitational acceleration = 9.81
- Water density = 998.2
- Sediment particle density = 2650
- Bed shear stress = 12.5
Expected Result:
- Shields parameter ratio = 0.51427129588179
Engineering Interpretation:
Under the given input conditions, the calculated result is: Shields parameter ratio = 0.51427129588179 dimensionless.
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
shields parameter ratio = bed shear stress / ((sediment particle density - water density) * gravitational acceleration * characteristic sediment grain diameter)Formula family: formula_civil_civil_hydraulic_channel_stability_checker_shields_parameter_method
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| tau_b | Bed shear stress | INPUT | Bed shear stress |
| rho_s | Sediment particle density | INPUT | Sediment particle density |
| rho | Water density | INPUT | Water density |
| g | Gravitational acceleration | INPUT | Gravitational acceleration |
| d | Characteristic sediment grain diameter | INPUT | Characteristic sediment grain diameter |
| shields_parameter_ratio | Shields parameter ratio | OUTPUT | Shields parameter ratio |
Calculation Steps
- Enter the bed shear stress in Pa.
- Enter the sediment particle density in kg/m^3.
- Enter the water density in kg/m^3.
- Enter the gravitational acceleration in m/s^2.
- Enter the characteristic sediment grain diameter in m.
- Step 1: Compute shields parameter ratio.
- Read the shields parameter ratio (dimensionless) from the results.
Engineering Summary
Calculate Shields Parameter Ratio for Open-Channel Sediment Stability (Non-Cohesive Bed)
Frequently Asked Questions
What does this calculator calculate?
The Shields Parameter Ratio for Open-Channel Sediment Stability (Non-Cohesive Bed) Calculator estimates Shields parameter ratio based on the input parameters you provide
Why is bed shear stress important in this calculation?
bed shear stress is directly proportional to shields parameter ratio. When you enter bed shear stress in Pa, the calculator uses it in the engineering formula to compute the output
How should I interpret the result shields parameter ratio?
The calculator outputs shields parameter ratio in dimensionless. 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: Bed shear stress (Pa), Sediment particle density (kg/m^3), Water density (kg/m^3), Gravitational acceleration (m/s^2), Characteristic sediment grain diameter (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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