1. What is Length of Arc of Slice?

Definition: The length of arc of a slice is calculated as the ratio of total normal force acting at the base of the slice to the normal stress.

Purpose: This calculation is important in geotechnical engineering for slope stability analysis using methods like the method of slices.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l \) — Length of arc of the slice (meters)
• \( P \) — Total normal force acting at the base (Newtons)
• \( \sigma_{normal} \) — Normal stress (Pascals)

Explanation: The total normal force is divided by the normal stress to determine the length of the arc segment being analyzed.

3. Importance of Length of Arc Calculation

Details: Accurate calculation of arc length is crucial for determining shear strength and factor of safety in slope stability analysis.

4. Using the Calculator

Tips: Enter the total normal force in Newtons, normal stress in Pascals, and optional tolerance percentage (default ±5%). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is normal stress in this context?
A: Normal stress is the stress component perpendicular to the cross-section of the slice, typically measured in Pascals (Pa).

Q2: Why include a tolerance percentage?
A: The tolerance provides a range to account for measurement uncertainties and material variations in practical applications.

Q3: What are typical values for normal stress?
A: Normal stress values vary widely depending on material and conditions, ranging from kPa to MPa in geotechnical applications.

Q4: How is total normal force determined?
A: Total normal force is typically calculated from the weight of the soil slice and any additional loads acting on it.

Q5: Can this calculator be used for curved failure surfaces?
A: Yes, this calculation is particularly relevant for circular or curved failure surfaces analyzed by method of slices.

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