Effective Normal Stress given Factor of Safety Calculator

✖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 in Soil Mechanics [F_s]			+10% -10%
✖Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction of Soil [Φ_i]			+10% -10%
✖Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Soil Mechanics [ζ_soil]			+10% -10%

✖Effective Normal Stress in Soil Mechanics is related to total stress and pore pressure.ⓘ Effective Normal Stress given Factor of Safety [σ^']

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Effective Normal Stress given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Normal Stress in Soil Mechanics = Factor of Safety in Soil Mechanics/((tan((Angle of Internal Friction of Soil*pi)/180))/Shear Stress in Soil Mechanics)
σ^' = F_s/((tan((Φ_i*pi)/180))/ζ_soil)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Effective Normal Stress in Soil Mechanics - (Measured in Pascal) - Effective Normal Stress in Soil Mechanics is related to total stress and pore pressure.
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.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.
Shear Stress in Soil Mechanics - (Measured in Pascal) - Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

STEP 1: Convert Input(s) to Base Unit

Factor of Safety in Soil Mechanics: 2.8 --> No Conversion Required
Angle of Internal Friction of Soil: 82.87 Degree --> 1.44635435112743 Radian (Check conversion here)
Shear Stress in Soil Mechanics: 0.71 Kilonewton per Square Meter --> 710 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ^' = F_s/((tan((Φ_i*pi)/180))/ζ_soil) --> 2.8/((tan((1.44635435112743*pi)/180))/710)

Evaluating ... ...

σ^' = 78735.7633090358

STEP 3: Convert Result to Output's Unit

78735.7633090358 Pascal -->78.7357633090358 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

78.7357633090358 ≈ 78.73576 Kilonewton per Square Meter <-- Effective Normal Stress in Soil Mechanics

(Calculation completed in 00.020 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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< 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)

Effective Normal Stress given Factor of Safety Formula

LaTeX Go

What is Normal Stress?

A normal stress is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area.

How to Calculate Effective Normal Stress given Factor of Safety?

Effective Normal Stress given Factor of Safety calculator uses Effective Normal Stress in Soil Mechanics = Factor of Safety in Soil Mechanics/((tan((Angle of Internal Friction of Soil*pi)/180))/Shear Stress in Soil Mechanics) to calculate the Effective Normal Stress in Soil Mechanics, The Effective Normal Stress given Factor of Safety is defined as the value of effective normal stress when we have prior information of other parameters used. Effective Normal Stress in Soil Mechanics is denoted by σ^' symbol.

How to calculate Effective Normal Stress given Factor of Safety using this online calculator? To use this online calculator for Effective Normal Stress given Factor of Safety, enter Factor of Safety in Soil Mechanics (F_s), Angle of Internal Friction of Soil (Φ_i) & Shear Stress in Soil Mechanics (ζ_soil) and hit the calculate button. Here is how the Effective Normal Stress given Factor of Safety calculation can be explained with given input values -> 0.078736 = 2.8/((tan((1.44635435112743*pi)/180))/710).

FAQ

What is Effective Normal Stress given Factor of Safety?

The Effective Normal Stress given Factor of Safety is defined as the value of effective normal stress when we have prior information of other parameters used and is represented as σ^' = F_s/((tan((Φ_i*pi)/180))/ζ_soil) or Effective Normal Stress in Soil Mechanics = Factor of Safety in Soil Mechanics/((tan((Angle of Internal Friction of Soil*pi)/180))/Shear Stress 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, Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction & Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to calculate Effective Normal Stress given Factor of Safety?

The Effective Normal Stress given Factor of Safety is defined as the value of effective normal stress when we have prior information of other parameters used is calculated using Effective Normal Stress in Soil Mechanics = Factor of Safety in Soil Mechanics/((tan((Angle of Internal Friction of Soil*pi)/180))/Shear Stress in Soil Mechanics). To calculate Effective Normal Stress given Factor of Safety, you need Factor of Safety in Soil Mechanics (F_s), Angle of Internal Friction of Soil (Φ_i) & Shear Stress in Soil Mechanics (ζ_soil). With our tool, you need to enter the respective value for Factor of Safety in Soil Mechanics, Angle of Internal Friction of Soil & Shear Stress in Soil Mechanics 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 Effective Normal Stress in Soil Mechanics?

In this formula, Effective Normal Stress in Soil Mechanics uses Factor of Safety in Soil Mechanics, Angle of Internal Friction of Soil & Shear Stress in Soil Mechanics. We can use 3 other way(s) to calculate the same, which is/are as follows -

Effective Normal Stress in Soil Mechanics = Normal Stress in Soil Mechanics-Upward Force in Seepage Analysis
Effective Normal Stress in Soil Mechanics = (Submerged Unit Weight in KN per Cubic Meter*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
Effective Normal Stress in Soil Mechanics = ((Saturated Unit Weight of Soil-Unit Weight of Water)*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

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