Factor of Safety given Mobilized Shear resistance of Soil Calculator

✖Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.ⓘ Unit Cohesion [c_u]			+10% -10%
✖Mobilized Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts.ⓘ Mobilized Shear Resistance of Soil [c_m]			+10% -10%

✖Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.ⓘ Factor of Safety given Mobilized Shear resistance of Soil [f_s]

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Formula

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Factor of Safety given Mobilized Shear resistance of Soil

Formula

f s = \frac{c u}{c m}

Example

2.80112 = \frac{10 Pa}{3.57 Pa}

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Factor of Safety given Mobilized Shear resistance of Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety = Unit Cohesion/Mobilized Shear Resistance of Soil
f_s = c_u/c_m
This formula uses 3 Variables

Variables Used

Factor of Safety - Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.
Mobilized Shear Resistance of Soil - (Measured in Pascal) - Mobilized Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts.

STEP 1: Convert Input(s) to Base Unit

Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Mobilized Shear Resistance of Soil: 3.57 Pascal --> 3.57 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = c_u/c_m --> 10/3.57

Evaluating ... ...

f_s = 2.80112044817927

STEP 3: Convert Result to Output's Unit

2.80112044817927 --> No Conversion Required

FINAL ANSWER

2.80112044817927 ≈ 2.80112 <-- Factor of Safety

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< The Swedish Slip Circle Method Calculators

Radial Distance from Center of Rotation given Length of Slip Arc

Go Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))

Arc Angle given Length of Slip Arc

Go Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)

Moment of Resistance given Factor of Safety

Go Moment of Resistance with Factor of Safety = Factor of Safety*Driving Moment

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

Factor of Safety given Mobilized Shear resistance of Soil Formula

Factor of Safety = Unit Cohesion/Mobilized Shear Resistance of Soil
f_s = c_u/c_m

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 Mobilized Shear resistance of Soil?

Factor of Safety given Mobilized Shear resistance of Soil calculator uses Factor of Safety = Unit Cohesion/Mobilized Shear Resistance of Soil to calculate the Factor of Safety, The Factor of Safety given Mobilized Shear resistance of Soil formula is defined as ratio of Mobilized Shear Resistance to Applied Shear Stress, ensuring stability in soil engineering. Factor of Safety is denoted by f_s symbol.

How to calculate Factor of Safety given Mobilized Shear resistance of Soil using this online calculator? To use this online calculator for Factor of Safety given Mobilized Shear resistance of Soil, enter Unit Cohesion (c_u) & Mobilized Shear Resistance of Soil (c_m) and hit the calculate button. Here is how the Factor of Safety given Mobilized Shear resistance of Soil calculation can be explained with given input values -> 1.240695 = 10/3.57.

FAQ

What is Factor of Safety given Mobilized Shear resistance of Soil?

The Factor of Safety given Mobilized Shear resistance of Soil formula is defined as ratio of Mobilized Shear Resistance to Applied Shear Stress, ensuring stability in soil engineering and is represented as f_s = c_u/c_m or Factor of Safety = Unit Cohesion/Mobilized Shear Resistance of Soil. Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles & Mobilized Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts.

How to calculate Factor of Safety given Mobilized Shear resistance of Soil?

The Factor of Safety given Mobilized Shear resistance of Soil formula is defined as ratio of Mobilized Shear Resistance to Applied Shear Stress, ensuring stability in soil engineering is calculated using Factor of Safety = Unit Cohesion/Mobilized Shear Resistance of Soil. To calculate Factor of Safety given Mobilized Shear resistance of Soil, you need Unit Cohesion (c_u) & Mobilized Shear Resistance of Soil (c_m). With our tool, you need to enter the respective value for Unit Cohesion & Mobilized Shear Resistance of Soil 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 Unit Cohesion & Mobilized Shear Resistance of Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -

Factor of Safety = Resisting Moment/Driving Moment
Factor of Safety = (Unit Cohesion*Length of Slip Arc with Factor of Safety*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)
Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of All Tangential Component in Soil Mechanics

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