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Bishop's Simplified Slice Method Circular Slope Stability Calculator

Easily calculate and compute bishop's simplified slice method circular slope stability calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
0.98 ratio

Global Factor of Safety (FS)

Global Factor of Safety (FS)

0.98 ratio

Local Slice Fs

0.98

M Alpha

1.059

Available Shear Kn

144.5

Driving Force Kn

147.9

0.98 — ratio

Calculation Breakdown

  1. Applied FormulaEvaluates the safety factor of a representative soil slice in Bishop's simplified limit-equilibrium circular slip surface slope stability analysis.\text{FS} = \frac{\sum \frac{c' b_i + (W_i - u_i b_i)\tan\phi'}{m_{\alpha i}}}{\sum W_i \sin\alpha_i}, \quad m_{\alpha i} = \cos\alpha_i + \frac{\sin\alpha_i \tan\phi'}{\text{FS}}

Bishop Circular Slope Stability Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Global Factor of Safety (FS)

What Is the Bishop's Simplified Slice Method Circular Slope Stability Calculator?

This tool computes bishop's simplified slice method circular slope stability calculator with high precision arithmetic.

How Does the Bishop's Simplified Slice Method Circular Slope Stability Calculator Work?

Evaluates the safety factor of a representative soil slice in Bishop's simplified limit-equilibrium circular slip surface slope stability analysis.

Bishop's Simplified Slice Method Circular Slope Stability Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

FS=∑c′bi+(Wi−uibi)tan⁡ϕ′mαi∑Wisin⁡αi,mαi=cos⁡αi+sin⁡αitan⁡ϕ′FS\text{FS} = \frac{\sum \frac{c' b_i + (W_i - u_i b_i)\tan\phi'}{m_{\alpha i}}}{\sum W_i \sin\alpha_i}, \quad m_{\alpha i} = \cos\alpha_i + \frac{\sin\alpha_i \tan\phi'}{\text{FS}}

Evaluates the safety factor of a representative soil slice in Bishop's simplified limit-equilibrium circular slip surface slope stability analysis.

How to Use the Bishop's Simplified Slice Method Circular Slope Stability Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Bishop's Simplified Slice Method Circular Slope Stability Calculator Example

Input Values:

sliceWeightKn:350
sliceWidthM:2.5
baseAngleDeg:25
effectiveCohesionC:10
effectivePhiDeg:26
porePressureKpa:35
trialFs:1.35
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required ratio.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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