Factor of Safety for Cohesive Soil given Saturated Unit Weight Calculator

✖Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.ⓘ Effective Cohesion [c']			+10% -10%
✖Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.ⓘ Submerged Unit Weight [γ^']			+10% -10%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination to Horizontal in Soil [i]			+10% -10%
✖Saturated Unit Weight in Newton per Cubic Meter is the value of the unit weight of the saturated soil in Newton per Cubic Meter.ⓘ Saturated Unit Weight in Newton per Cubic Meter [γ_sat]			+10% -10%

✖Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety for Cohesive Soil given Saturated Unit Weight [F_s]

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Factor of Safety for Cohesive Soil given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety in Soil Mechanics = (Effective Cohesion+(Submerged Unit Weight*Depth of Prism*tan((Angle of Internal Friction))*(cos((Angle of Inclination to Horizontal in Soil)))^2))/(Saturated Unit Weight in Newton per Cubic Meter*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))
F_s = (c'+(γ^'*z*tan((φ))*(cos((i)))^2))/(γ_sat*z*cos((i))*sin((i)))
This formula uses 3 Functions, 7 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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 in Soil Mechanics - Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.
Effective Cohesion - (Measured in Pascal) - Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.
Submerged Unit Weight - (Measured in Newton per Cubic Meter) - Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
Angle of Inclination to Horizontal in Soil - (Measured in Radian) - Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.
Saturated Unit Weight in Newton per Cubic Meter - (Measured in Newton per Cubic Meter) - Saturated Unit Weight in Newton per Cubic Meter is the value of the unit weight of the saturated soil in Newton per Cubic Meter.

STEP 1: Convert Input(s) to Base Unit

Effective Cohesion: 4 Pascal --> 4 Pascal No Conversion Required
Submerged Unit Weight: 5.01 Newton per Cubic Meter --> 5.01 Newton per Cubic Meter No Conversion Required
Depth of Prism: 3 Meter --> 3 Meter No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)
Saturated Unit Weight in Newton per Cubic Meter: 32.24 Newton per Cubic Meter --> 32.24 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = (c'+(γ^'*z*tan((φ))*(cos((i)))^2))/(γ_sat*z*cos((i))*sin((i))) --> (4+(5.01*3*tan((0.802851455917241))*(cos((1.11701072127616)))^2))/(32.24*3*cos((1.11701072127616))*sin((1.11701072127616)))

Evaluating ... ...

F_s = 0.183449398100144

STEP 3: Convert Result to Output's Unit

0.183449398100144 --> No Conversion Required

FINAL ANSWER

0.183449398100144 ≈ 0.183449 <-- Factor of Safety in Soil Mechanics

(Calculation completed in 00.020 seconds)

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< Steady State Seepage Analysis Along The Slopes Calculators

Inclined Length of Prism given Saturated Unit Weight

LaTeX Go Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Weight of Soil Prism given Saturated Unit Weight

LaTeX Go Weight of Prism in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Vertical Stress on Prism given Saturated Unit Weight

LaTeX Go Vertical Stress at a Point in Kilopascal = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Normal Stress Component given Saturated Unit Weight

LaTeX Go Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Factor of Safety for Cohesive Soil given Saturated Unit Weight Formula

LaTeX Go

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 for Cohesive Soil given Saturated Unit Weight?

Factor of Safety for Cohesive Soil given Saturated Unit Weight calculator uses Factor of Safety in Soil Mechanics = (Effective Cohesion+(Submerged Unit Weight*Depth of Prism*tan((Angle of Internal Friction))*(cos((Angle of Inclination to Horizontal in Soil)))^2))/(Saturated Unit Weight in Newton per Cubic Meter*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))) to calculate the Factor of Safety in Soil Mechanics, The Factor of Safety for Cohesive Soil given Saturated Unit Weight is defined as the value of factor of safety when we have prior information of other parameters used. Factor of Safety in Soil Mechanics is denoted by F_s symbol.

How to calculate Factor of Safety for Cohesive Soil given Saturated Unit Weight using this online calculator? To use this online calculator for Factor of Safety for Cohesive Soil given Saturated Unit Weight, enter Effective Cohesion (c'), Submerged Unit Weight (γ^'), Depth of Prism (z), Angle of Internal Friction (φ), Angle of Inclination to Horizontal in Soil (i) & Saturated Unit Weight in Newton per Cubic Meter (γ_sat) and hit the calculate button. Here is how the Factor of Safety for Cohesive Soil given Saturated Unit Weight calculation can be explained with given input values -> 0.183293 = (4+(5.01*3*tan((0.802851455917241))*(cos((1.11701072127616)))^2))/(32.24*3*cos((1.11701072127616))*sin((1.11701072127616))).

FAQ

What is Factor of Safety for Cohesive Soil given Saturated Unit Weight?

The Factor of Safety for Cohesive Soil given Saturated Unit Weight is defined as the value of factor of safety when we have prior information of other parameters used and is represented as F_s = (c'+(γ^'*z*tan((φ))*(cos((i)))^2))/(γ_sat*z*cos((i))*sin((i))) or Factor of Safety in Soil Mechanics = (Effective Cohesion+(Submerged Unit Weight*Depth of Prism*tan((Angle of Internal Friction))*(cos((Angle of Inclination to Horizontal in Soil)))^2))/(Saturated Unit Weight in Newton per Cubic Meter*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))). Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation, Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course, Depth of Prism is the length of prism along z direction, Angle of Internal Friction is the angle measured between the normal force and resultant force , Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object & Saturated Unit Weight in Newton per Cubic Meter is the value of the unit weight of the saturated soil in Newton per Cubic Meter.

How to calculate Factor of Safety for Cohesive Soil given Saturated Unit Weight?

The Factor of Safety for Cohesive Soil given Saturated Unit Weight is defined as the value of factor of safety when we have prior information of other parameters used is calculated using Factor of Safety in Soil Mechanics = (Effective Cohesion+(Submerged Unit Weight*Depth of Prism*tan((Angle of Internal Friction))*(cos((Angle of Inclination to Horizontal in Soil)))^2))/(Saturated Unit Weight in Newton per Cubic Meter*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))). To calculate Factor of Safety for Cohesive Soil given Saturated Unit Weight, you need Effective Cohesion (c'), Submerged Unit Weight (γ^'), Depth of Prism (z), Angle of Internal Friction (φ), Angle of Inclination to Horizontal in Soil (i) & Saturated Unit Weight in Newton per Cubic Meter (γ_sat). With our tool, you need to enter the respective value for Effective Cohesion, Submerged Unit Weight, Depth of Prism, Angle of Internal Friction, Angle of Inclination to Horizontal in Soil & Saturated Unit Weight in Newton per Cubic Meter 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 Soil Mechanics?

In this formula, Factor of Safety in Soil Mechanics uses Effective Cohesion, Submerged Unit Weight, Depth of Prism, Angle of Internal Friction, Angle of Inclination to Horizontal in Soil & Saturated Unit Weight in Newton per Cubic Meter. We can use 2 other way(s) to calculate the same, which is/are as follows -

Factor of Safety in Soil Mechanics = (Effective Normal Stress in Soil Mechanics*tan((Angle of Internal Friction*pi)/180))/Shear Stress in Soil Mechanics
Factor of Safety in Soil Mechanics = (Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction of Soil*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180))

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