Unit Weight of Soil given Normal Stress Component Calculator

✖Normal Stress in kp is defined as the stress produced by the perpendicular action of a force on a given area in kilopascal.ⓘ Normal Stress in kp [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%

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil given Normal Stress Component [γ]

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Unit Weight of Soil given Normal Stress Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = Normal Stress in kp/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
γ = 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

Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Normal Stress in kp - (Measured in Pascal) - Normal Stress in kp is defined as the stress produced by the perpendicular action of a force on a given area 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

Normal Stress in kp: 50 Kilopascal --> 50000 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 = σ_n/(z*(cos((i*pi)/180))^2) --> 50000/(3*(cos((1.11701072127616*pi)/180))^2)

Evaluating ... ...

γ = 16673.0028570895

STEP 3: Convert Result to Output's Unit

16673.0028570895 Newton per Cubic Meter -->16.6730028570895 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

16.6730028570895 ≈ 16.673 Kilonewton per Cubic Meter <-- 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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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Normal Stress Component Calculators

Normal Stress Component given Unit Weight of Soil

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

Vertical Stress on Surface of Prism given Normal Stress Component

LaTeX Go Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180)

Normal Stress Component given Vertical Stress

LaTeX Go Normal Stress in kp = Vertical Stress at a Point in Kilopascal*cos((Angle of Inclination to Horizontal in Soil*pi)/180)

Angle of Inclination given Normal Stress Component

LaTeX Go Angle of Inclination to Horizontal in Soil = acos(Normal Stress in kp/Vertical Stress at a Point in Kilopascal)

Unit Weight of Soil given Normal Stress Component Formula

LaTeX Go

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

What is Unit Weight of Soil?

Unit weight for a soil is a property of a soil which is used to solve the problems related to the earthwork. Unit weight is also known by the name specific weight. Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water.

How to Calculate Unit Weight of Soil given Normal Stress Component?

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

How to calculate Unit Weight of Soil given Normal Stress Component using this online calculator? To use this online calculator for Unit Weight of Soil given Normal Stress Component, enter Normal Stress in kp (σ_n), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Unit Weight of Soil given Normal Stress Component calculation can be explained with given input values -> 0.017673 = 50000/(3*(cos((1.11701072127616*pi)/180))^2).

FAQ

What is Unit Weight of Soil given Normal Stress Component?

The Unit Weight of Soil given Normal Stress Component is defined as the value of unit weight of soil when we have prior information of other parameters used and is represented as γ = σ_n/(z*(cos((i*pi)/180))^2) or Unit Weight of Soil = Normal Stress in kp/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). Normal Stress in kp is defined as the stress produced by the perpendicular action of a force on a given area 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 Unit Weight of Soil given Normal Stress Component?

The Unit Weight of Soil given Normal Stress Component is defined as the value of unit weight of soil when we have prior information of other parameters used is calculated using Unit Weight of Soil = Normal Stress in kp/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). To calculate Unit Weight of Soil given Normal Stress Component, you need Normal Stress in kp (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 kp, 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.

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