Factor of Safety against Sliding Calculator

✖Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction of Soil [Φ_i]			+10% -10%
✖Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination [I]			+10% -10%

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

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Factor of Safety against Sliding Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))
f_s = (tan((Φ_i))/tan((I)))
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Angle of Internal Friction of Soil: 78.69 Degree --> 1.37339958839408 Radian (Check conversion here)
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = (tan((Φ_i))/tan((I))) --> (tan((1.37339958839408))/tan((1.3962634015952)))

Evaluating ... ...

f_s = 0.881629500506991

STEP 3: Convert Result to Output's Unit

0.881629500506991 --> No Conversion Required

FINAL ANSWER

0.881629500506991 ≈ 0.88163 <-- 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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< Stability Analysis of Infinite Slopes Calculators

Normal Stress given Shear Stress of Cohesionless Soil

LaTeX Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))

Normal Stress given Shear Strength of Cohesionless Soil

LaTeX Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))

Shear Strength of Cohesionless Soil

LaTeX Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))

Angle of Internal Friction given Shear Strength of Cohesionless Soil

LaTeX Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)

Factor of Safety against Sliding Formula

LaTeX Go

Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))
f_s = (tan((Φ_i))/tan((I)))

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 against Sliding?

Factor of Safety against Sliding calculator uses Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination))) to calculate the Factor of Safety, The Factor of Safety against Sliding formula is defined as the measure of safety margin used to assess the stability of slopes or structures on slopes against sliding failure. Factor of Safety is denoted by f_s symbol.

How to calculate Factor of Safety against Sliding using this online calculator? To use this online calculator for Factor of Safety against Sliding, enter Angle of Internal Friction of Soil (Φ_i) & Angle of Inclination (I) and hit the calculate button. Here is how the Factor of Safety against Sliding calculation can be explained with given input values -> 0.88163 = (tan((1.37339958839408))/tan((1.3962634015952))).

FAQ

What is Factor of Safety against Sliding?

The Factor of Safety against Sliding formula is defined as the measure of safety margin used to assess the stability of slopes or structures on slopes against sliding failure and is represented as f_s = (tan((Φ_i))/tan((I))) or Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination))). Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction & Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.

How to calculate Factor of Safety against Sliding?

The Factor of Safety against Sliding formula is defined as the measure of safety margin used to assess the stability of slopes or structures on slopes against sliding failure is calculated using Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination))). To calculate Factor of Safety against Sliding, you need Angle of Internal Friction of Soil (Φ_i) & Angle of Inclination (I). With our tool, you need to enter the respective value for Angle of Internal Friction of Soil & Angle of Inclination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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