Length of Slip Arc Formula:
Definition: The length of the slip circle arc is a critical parameter in slope stability analysis of earth dams, representing the potential failure surface.
Purpose: It helps geotechnical engineers assess the stability of earth dams and slopes by analyzing potential circular failure surfaces.
The calculator uses the formula:
Where:
Explanation: The formula calculates the length of the potential failure arc based on the balance between driving forces and resisting forces in the slope.
Details: Proper calculation ensures dam safety, prevents catastrophic failures, and helps in designing appropriate stabilization measures.
Tips: Enter all required parameters with ±5% accuracy. Ensure all values are positive except pore pressure which can be zero.
Q1: What is a typical factor of safety for earth dams?
A: Typically 1.3-1.5 for temporary structures and 1.5-2.0 for permanent dams.
Q2: How is pore pressure measured?
A: Through piezometers installed in the dam body and foundation.
Q3: What affects the effective angle of internal friction?
A: Soil type, density, moisture content, and stress history.
Q4: How is effective cohesion determined?
A: Through laboratory tests like direct shear or triaxial tests on soil samples.
Q5: What if my calculation returns a negative length?
A: Check your inputs - this usually indicates an error in parameter values or unrealistic conditions.