Saturated Unit Weight given Vertical Stress on Prism Calculator

✖Vertical Stress at a Point in Kilopascal is the stress acting perpendicular to the surface in kilopascal.ⓘ Vertical Stress at a Point in Kilopascal [σ_zkp]			+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 Vertical Stress on Prism [γ_saturated]

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Saturated Unit Weight given Vertical Stress on Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
γ_saturated = σ_zkp/(z*cos((i*pi)/180))
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.
Vertical Stress at a Point in Kilopascal - (Measured in Pascal) - Vertical Stress at a Point in Kilopascal is the stress acting perpendicular to the surface in kilopascal.
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

Vertical Stress at a Point in Kilopascal: 53 Kilopascal --> 53000 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_zkp/(z*cos((i*pi)/180)) --> 53000/(3*cos((1.11701072127616*pi)/180))

Evaluating ... ...

γ_saturated = 17670.0245284803

STEP 3: Convert Result to Output's Unit

17670.0245284803 Newton per Cubic Meter -->17.6700245284803 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

17.6700245284803 ≈ 17.67002 Kilonewton per Cubic Meter <-- Saturated Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 Vertical Stress on Prism Formula

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))
γ_saturated = σ_zkp/(z*cos((i*pi)/180))

What is Submerged Unit Weight?

The weight of the solids in air minus the weight of water displaced by the solids per unit of volume of soil mass; the saturated unit weight minus the unit weight of water.

How to Calculate Saturated Unit Weight given Vertical Stress on Prism?

Saturated Unit Weight given Vertical Stress on Prism calculator uses 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)) to calculate the Saturated Unit Weight of Soil, The Saturated Unit Weight given Vertical Stress on Prism 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 Vertical Stress on Prism using this online calculator? To use this online calculator for Saturated Unit Weight given Vertical Stress on Prism, enter Vertical Stress at a Point in Kilopascal (σ_zkp), 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 Vertical Stress on Prism calculation can be explained with given input values -> 0.01767 = 53000/(3*cos((1.11701072127616*pi)/180)).

FAQ

What is Saturated Unit Weight given Vertical Stress on Prism?

The Saturated Unit Weight given Vertical Stress on Prism 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_zkp/(z*cos((i*pi)/180)) or 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)). Vertical Stress at a Point in Kilopascal is the stress acting perpendicular to the surface in kilopascal, 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 Vertical Stress on Prism?

The Saturated Unit Weight given Vertical Stress on Prism 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 = Vertical Stress at a Point in Kilopascal/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). To calculate Saturated Unit Weight given Vertical Stress on Prism, you need Vertical Stress at a Point in Kilopascal (σ_zkp), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Vertical Stress at a Point in Kilopascal, 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 Vertical Stress at a Point in Kilopascal, 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 = Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
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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