Quick Answer
Calculate Bulk Flow Arching Minimum Arch Diameter Predictor
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Find Engineering Solutions →Result Interpretation
Bulk Flow Arching Minimum Arch Diameter Predictor calculator computes Minimum Arch Diameter in m using the defined engineering formula and the input values provided. Minimum Arch Diameter is expressed in m. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Hopper Half-Angle = 0.261799
- Bulk Solid Cohesion = 800
- Bulk Solid Density = 1200
- Internal Friction Angle = 0.436332
- Gravitational Acceleration = 9.81
Expected Result:
- Minimum Arch Diameter = 0.022668625865998
Engineering Interpretation:
Under the given input conditions, the calculated result is: Minimum Arch Diameter = 0.022668625865998 m.
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
minimum arch diameter = 2.0 * hopper half-angle * (bulk solid cohesion / (bulk solid density * gravitational acceleration)) * tan(3.14159265358979 / 4.0 - internal friction angle / 2.0)Formula family: formula_bulk_bulk_flow_arching_risk_predictor
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| hopper_half_angle_rad | Hopper Half-Angle | INPUT | Hopper Half-Angle |
| cohesion | Bulk Solid Cohesion | INPUT | Bulk Solid Cohesion |
| bulk_density | Bulk Solid Density | INPUT | Bulk Solid Density |
| internal_friction_angle_rad | Internal Friction Angle | INPUT | Internal Friction Angle |
| gravitational_acceleration | Gravitational Acceleration | INPUT | Gravitational Acceleration |
| arch_diameter_minimum | Minimum Arch Diameter | OUTPUT | Minimum Arch Diameter |
Calculation Steps
- Enter the hopper half-angle in rad.
- Enter the bulk solid cohesion in Pa.
- Enter the bulk solid density in kg/m^3.
- Enter the internal friction angle in rad.
- Enter the gravitational acceleration in m/s^2.
- Step 1: Compute minimum arch diameter.
- Read the minimum arch diameter (m) from the results.
Engineering Summary
Calculate Bulk Flow Arching Minimum Arch Diameter Predictor
Frequently Asked Questions
What does this calculator calculate?
The Bulk Flow Arching Minimum Arch Diameter Predictor calculator estimates Minimum Arch Diameter based on the input parameters you provide
Why is hopper half-angle important in this calculation?
hopper half-angle is directly proportional to minimum arch diameter. When you enter hopper half-angle in rad, the calculator uses it in the engineering formula to compute the output
How should I interpret the result minimum arch diameter?
The calculator outputs minimum arch diameter 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: Hopper Half-Angle (rad), Bulk Solid Cohesion (Pa), Bulk Solid Density (kg/m^3), Internal Friction Angle (rad), Gravitational Acceleration (m/s^2). 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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