Effective Normal Stress given Saturated Unit Weight Calculator

✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight of Soil [γ_saturated]			+10% -10%
✖Unit Weight of Water is mass per unit of water.ⓘ Unit Weight of Water [γ_water]			+10% -10%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+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%

✖Effective Normal Stress in Soil Mechanics is related to total stress and pore pressure.ⓘ Effective Normal Stress given Saturated Unit Weight [σ^']

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Effective Normal Stress given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ^' = ((γ_saturated-γ_water)*z*(cos((i*pi)/180))^2)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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.
Saturated Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.
Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is mass per unit of water.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
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.

STEP 1: Convert Input(s) to Base Unit

Saturated Unit Weight of Soil: 11.89 Kilonewton per Cubic Meter --> 11890 Newton per Cubic Meter (Check conversion here)
Unit Weight of Water: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Depth of Prism: 3 Meter --> 3 Meter No Conversion Required
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ^' = ((γ_saturated-γ_water)*z*(cos((i*pi)/180))^2) --> ((11890-9810)*3*(cos((1.11701072127616*pi)/180))^2)

Evaluating ... ...

σ^' = 6237.6286318321

STEP 3: Convert Result to Output's Unit

6237.6286318321 Pascal -->6.2376286318321 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

6.2376286318321 ≈ 6.237629 Kilonewton per Square Meter <-- Effective Normal Stress in Soil Mechanics

(Calculation completed in 00.008 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 Saturated Unit Weight Formula

LaTeX Go

What is Effective Normal Stress?

The principle of effective stresses applies only to normal stresses and not shear stresses. Total stress (σ) is equal to the sum of effective stress (σ') and pore water pressure (u) or, alternatively, effective stress is equal to total stress minus pore water pressure.

How to Calculate Effective Normal Stress given Saturated Unit Weight?

Effective Normal Stress given Saturated Unit Weight calculator uses 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) to calculate the Effective Normal Stress in Soil Mechanics, The Effective Normal Stress given Saturated Unit Weight 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 Saturated Unit Weight using this online calculator? To use this online calculator for Effective Normal Stress given Saturated Unit Weight, enter Saturated Unit Weight of Soil (γ_saturated), Unit Weight of Water (γ_water), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Effective Normal Stress given Saturated Unit Weight calculation can be explained with given input values -> 0.024561 = ((11890-9810)*3*(cos((1.11701072127616*pi)/180))^2).

FAQ

What is Effective Normal Stress given Saturated Unit Weight?

The Effective Normal Stress given Saturated Unit Weight is defined as the value of effective normal stress when we have prior information of other parameters used and is represented as σ^' = ((γ_saturated-γ_water)*z*(cos((i*pi)/180))^2) or 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). Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume, Unit Weight of Water is mass per unit of water, Depth of Prism is the length of prism along z direction & Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Effective Normal Stress given Saturated Unit Weight?

The Effective Normal Stress given Saturated Unit Weight 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 = ((Saturated Unit Weight of Soil-Unit Weight of Water)*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). To calculate Effective Normal Stress given Saturated Unit Weight, you need Saturated Unit Weight of Soil (γ_saturated), Unit Weight of Water (γ_water), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Saturated Unit Weight of Soil, Unit Weight of Water, Depth of Prism & Angle of Inclination to Horizontal in 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 Effective Normal Stress in Soil Mechanics?

In this formula, Effective Normal Stress in Soil Mechanics uses Saturated Unit Weight of Soil, Unit Weight of Water, Depth of Prism & Angle of Inclination to Horizontal in Soil. 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 = Factor of Safety in Soil Mechanics/((tan((Angle of Internal Friction of Soil*pi)/180))/Shear Stress in Soil Mechanics)

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