Saturated Unit Weight given Normal Stress Component Calculator

✖Normal Stress in Soil Mechanics is stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress in Soil Mechanics [σ_n]			+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%

✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight given Normal Stress Component [γ_saturated]

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Saturated Unit Weight given Normal Stress Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Saturated Unit Weight of Soil = Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
γ_saturated = σ_n/(z*(cos((i*pi)/180))^2)
This formula uses 1 Constants, 1 Functions, 4 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

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.
Normal Stress in Soil Mechanics - (Measured in Pascal) - Normal Stress in Soil Mechanics is stress that occurs when a member is loaded by an axial force.
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

Normal Stress in Soil Mechanics: 77.36 Kilonewton per Square Meter --> 77360 Pascal (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

γ_saturated = σ_n/(z*(cos((i*pi)/180))^2) --> 77360/(3*(cos((1.11701072127616*pi)/180))^2)

Evaluating ... ...

γ_saturated = 25796.4700204889

STEP 3: Convert Result to Output's Unit

25796.4700204889 Newton per Cubic Meter -->25.7964700204889 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

25.7964700204889 ≈ 25.79647 Kilonewton per Cubic Meter <-- Saturated Unit Weight of Soil

(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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< Factor of Steady Seepage Along the Slope Calculators

Depth of Prism given Saturated Unit Weight

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

Saturated Unit Weight given Weight of Soil Prism

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

Saturated Unit Weight given Vertical Stress on Prism

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

Angle of Inclination given Saturated Unit Weight

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

Saturated Unit Weight given Normal Stress Component Formula

LaTeX Go

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

What is Unit Weight?

The ratio of the mass of water present to the mass of solid particles is called the water content (w), or sometimes the moisture content.

How to Calculate Saturated Unit Weight given Normal Stress Component?

Saturated Unit Weight given Normal Stress Component calculator uses Saturated Unit Weight of Soil = Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2) to calculate the Saturated Unit Weight of Soil, The Saturated Unit Weight given Normal Stress Component is defined as the value of saturated unit weight when we have prior information of other parameters used. Saturated Unit Weight of Soil is denoted by γ_saturated symbol.

How to calculate Saturated Unit Weight given Normal Stress Component using this online calculator? To use this online calculator for Saturated Unit Weight given Normal Stress Component, enter Normal Stress in Soil Mechanics (σ_n), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Saturated Unit Weight given Normal Stress Component calculation can be explained with given input values -> 0.012458 = 77360/(3*(cos((1.11701072127616*pi)/180))^2).

FAQ

What is Saturated Unit Weight given Normal Stress Component?

The Saturated Unit Weight given Normal Stress Component is defined as the value of saturated unit weight when we have prior information of other parameters used and is represented as γ_saturated = σ_n/(z*(cos((i*pi)/180))^2) or Saturated Unit Weight of Soil = Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). Normal Stress in Soil Mechanics is stress that occurs when a member is loaded by an axial force, 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 Saturated Unit Weight given Normal Stress Component?

The Saturated Unit Weight given Normal Stress Component is defined as the value of saturated unit weight when we have prior information of other parameters used is calculated using Saturated Unit Weight of Soil = Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). To calculate Saturated Unit Weight given Normal Stress Component, you need Normal Stress in Soil Mechanics (σ_n), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Normal Stress in Soil Mechanics, 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 Saturated Unit Weight of Soil?

In this formula, Saturated Unit Weight of Soil uses Normal Stress in Soil Mechanics, 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 -

Saturated Unit Weight of Soil = Weight of Prism in Soil Mechanics/(Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))
Saturated Unit Weight of Soil = Vertical Stress at a Point in Kilopascal/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))
Saturated Unit Weight of Soil = Shear Stress in Soil Mechanics/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))

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