Rankine Active Lateral Earth Pressure
The Rankine Active Lateral Earth Pressure defines key physical, engineering, or material relationships in Structural Engineering, utilized across laboratory analysis and industrial applications.
\[ K_a = \frac{1 - \sin(\phi)}{1 + \sin(\phi)} = \tan^2\left(45^{\circ} - \frac{\phi}{2}\right) \]
Plain Text Formula:
K_a = (1 - sin(phi)) / (1 + sin(phi)) = tan^2(45 - phi/2)
📐 Variable Definitions & Parameters
| Symbol | Variable Name | Standard Unit | Physical Definition |
|---|---|---|---|
| \[ Result \] | Rankine Active Lateral Earth Pressure | SI Units | Computed target value based on input parameters |
| \[ Input \] | Primary Variable | Standard unit | Independent scientific or engineering input variable |
💡 Worked Engineering Example
Problem Statement:
Apply the Rankine Active Lateral Earth Pressure using standard laboratory benchmark parameters.
Step-by-Step Solution:
- Identify standard inputs according to current scientific reference standards.
- Substitute terms into: K_a = (1 - sin(phi)) / (1 + sin(phi)) = tan^2(45 - phi/2)
- Evaluate numerically using certified dimensional units.
🎯 Result: Yields precise empirical results complying with international standard tolerances.