Factor of Safety given by Bishop Calculator

✖Stability Coefficient m in Soil Mechanics is a coefficient given by Bishop.ⓘ Stability Coefficient m in Soil Mechanics [m]			+10% -10%
✖Stability Coefficient n is a coefficient given by Bishop.ⓘ Stability Coefficient n [n]			+10% -10%
✖Pore pressure ratio is a crude way of describing pore-water conditions in a slope stability analysis.ⓘ Pore Pressure Ratio [r_u]			+10% -10%

✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety given by Bishop [f_s]

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Formula

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Factor of Safety given by Bishop

Formula

f s = m - (n \cdot r u)

Example

2.71 = 2.98 - (0.30 \cdot 0.9)

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Factor of Safety given by Bishop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety = Stability Coefficient m in Soil Mechanics-(Stability Coefficient n*Pore Pressure Ratio)
f_s = m-(n*r_u)
This formula uses 4 Variables

Variables Used

Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Stability Coefficient m in Soil Mechanics - Stability Coefficient m in Soil Mechanics is a coefficient given by Bishop.
Stability Coefficient n - Stability Coefficient n is a coefficient given by Bishop.
Pore Pressure Ratio - Pore pressure ratio is a crude way of describing pore-water conditions in a slope stability analysis.

STEP 1: Convert Input(s) to Base Unit

Stability Coefficient m in Soil Mechanics: 2.98 --> No Conversion Required
Stability Coefficient n: 0.3 --> No Conversion Required
Pore Pressure Ratio: 0.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = m-(n*r_u) --> 2.98-(0.3*0.9)

Evaluating ... ...

f_s = 2.71

STEP 3: Convert Result to Output's Unit

2.71 --> No Conversion Required

FINAL ANSWER

2.71 <-- Factor of Safety

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Slope Stability Analysis using Bishops Method Calculators

Length of Arc of Slice given Effective Stress

Go Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)

Effective Stress on Slice

Go Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure

Normal Stress on Slice

Go Normal Stress in Pascal = Total Normal Force/Length of Arc

Length of Arc of Slice

Go Length of Arc = Total Normal Force/Normal Stress in Pascal

Factor of Safety given by Bishop Formula

Factor of Safety = Stability Coefficient m in Soil Mechanics-(Stability Coefficient n*Pore Pressure Ratio)
f_s = m-(n*r_u)

What is Factor of Safety?

The ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design.

How to Calculate Factor of Safety given by Bishop?

Factor of Safety given by Bishop calculator uses Factor of Safety = Stability Coefficient m in Soil Mechanics-(Stability Coefficient n*Pore Pressure Ratio) to calculate the Factor of Safety, The Factor of Safety given by Bishop is defined as the value of factor influencing the stability of force that uses the method of slices to discretize the soil mass and determine the FS (Factor of Safety). Factor of Safety is denoted by f_s symbol.

How to calculate Factor of Safety given by Bishop using this online calculator? To use this online calculator for Factor of Safety given by Bishop, enter Stability Coefficient m in Soil Mechanics (m), Stability Coefficient n (n) & Pore Pressure Ratio (r_u) and hit the calculate button. Here is how the Factor of Safety given by Bishop calculation can be explained with given input values -> 0.03 = 2.98-(0.3*0.9).

FAQ

What is Factor of Safety given by Bishop?

The Factor of Safety given by Bishop is defined as the value of factor influencing the stability of force that uses the method of slices to discretize the soil mass and determine the FS (Factor of Safety) and is represented as f_s = m-(n*r_u) or Factor of Safety = Stability Coefficient m in Soil Mechanics-(Stability Coefficient n*Pore Pressure Ratio). Stability Coefficient m in Soil Mechanics is a coefficient given by Bishop, Stability Coefficient n is a coefficient given by Bishop & Pore pressure ratio is a crude way of describing pore-water conditions in a slope stability analysis.

How to calculate Factor of Safety given by Bishop?

The Factor of Safety given by Bishop is defined as the value of factor influencing the stability of force that uses the method of slices to discretize the soil mass and determine the FS (Factor of Safety) is calculated using Factor of Safety = Stability Coefficient m in Soil Mechanics-(Stability Coefficient n*Pore Pressure Ratio). To calculate Factor of Safety given by Bishop, you need Stability Coefficient m in Soil Mechanics (m), Stability Coefficient n (n) & Pore Pressure Ratio (r_u). With our tool, you need to enter the respective value for Stability Coefficient m in Soil Mechanics, Stability Coefficient n & Pore Pressure Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Factor of Safety?

In this formula, Factor of Safety uses Stability Coefficient m in Soil Mechanics, Stability Coefficient n & Pore Pressure Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Factor of Safety = ((Effective Cohesion*Length of Arc)+(Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180))/Shear Force on Slice in Soil Mechanics

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