Quick Answer
Calculate Jenike Critical Arching Diameter for Hopper Flow
Calculator
Result Interpretation
Jenike Critical Arching Diameter for Hopper Flow Calculator computes Critical arching diameter in m using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Gravitational acceleration = 9.81
- Effective angle of internal friction = 0.523599
- Major principal stress at consolidation = 12000
- Bulk density = 850
Expected Result:
- Critical arching diameter = 14.955646476581
Engineering Interpretation:
Under the given input conditions, the calculated result is: Critical arching diameter = 14.955646476581 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
critical arching diameter = 2.0 * (major principal stress at consolidation / (bulk density * gravitational acceleration * tan(effective angle of internal friction))) * (1.0 + sin(effective angle of internal friction)) / (1.0 - sin(effective angle of internal friction))Formula family: formula_bulk_silo_critical_arching_diameter_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| sigma_1 | Major principal stress at consolidation | INPUT | Major principal stress at consolidation |
| rho_bulk | Bulk density | INPUT | Bulk density |
| phi_r | Effective angle of internal friction | INPUT | Effective angle of internal friction |
| g | Gravitational acceleration | INPUT | Gravitational acceleration |
| critical_arching_diameter | Critical arching diameter | OUTPUT | Critical arching diameter |
Calculation Steps
- Enter the major principal stress at consolidation in Pa.
- Enter the bulk density in kg/m^3.
- Enter the effective angle of internal friction in rad.
- Enter the gravitational acceleration in m/s^2.
- Step 1: Compute critical arching diameter.
- Read the critical arching diameter (m) from the results.
Engineering Summary
Calculate Jenike Critical Arching Diameter for Hopper Flow
Frequently Asked Questions
What does this calculator calculate?
The Jenike Critical Arching Diameter for Hopper Flow Calculator estimates Critical arching diameter based on the input parameters you provide
Why is major principal stress at consolidation important in this calculation?
major principal stress at consolidation is directly proportional to critical arching diameter. When you enter major principal stress at consolidation in Pa, the calculator uses it in the engineering formula to compute the output
How should I interpret the result critical arching diameter?
The calculator outputs critical arching 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: Major principal stress at consolidation (Pa), Bulk density (kg/m^3), Effective angle of internal friction (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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