Quick Answer
Calculate Forest Road Gradient Stability Index (FRGSI)
Calculator
Result Interpretation
Forest Road Gradient Stability Index (FRGSI) Calculator computes Forest road gradient stability index in dimensionless using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Effective soil cohesion = 12.5
- Road gradient angle = 8
- Root reinforcement factor = 6.2
Expected Result:
- Forest road gradient stability index = 86.373607672619
Engineering Interpretation:
Under the given input conditions, the calculated result is: Forest road gradient stability index = 86.373607672619 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
forest road gradient stability index = (effective soil cohesion * cos(road gradient angle * 3.14159265358979 / 180.0) + root reinforcement factor * 0.012) / (sin(road gradient angle * 3.14159265358979 / 180.0) + 0.005)Formula family: formula_forestry_forest_road_gradient_stability_index_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| Effective soil cohesion | Effective soil cohesion | INPUT | Effective soil cohesion |
| Road gradient angle | Road gradient angle | INPUT | Road gradient angle |
| Root reinforcement factor | Root reinforcement factor | INPUT | Root reinforcement factor |
| Forest road gradient stability index | Forest road gradient stability index | OUTPUT | Forest road gradient stability index |
Calculation Steps
- Enter the effective soil cohesion in kPa.
- Enter the road gradient angle in deg.
- Enter the root reinforcement factor in kN/m.
- Step 1: Compute forest road gradient stability index.
- Read the forest road gradient stability index (dimensionless) from the results.
Engineering Summary
Calculate Forest Road Gradient Stability Index (FRGSI)
Frequently Asked Questions
What does this calculator calculate?
The Forest Road Gradient Stability Index (FRGSI) Calculator estimates Forest road gradient stability index based on the input parameters you provide
Why is effective soil cohesion important in this calculation?
effective soil cohesion is directly proportional to forest road gradient stability index. When you enter effective soil cohesion in kPa, the calculator uses it in the engineering formula to compute the output
How should I interpret the result forest road gradient stability index?
The calculator outputs forest road gradient stability index 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: Effective soil cohesion (kPa), Road gradient angle (deg), Root reinforcement factor (kN/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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