Normal Stress Component given Unit Weight of Soil Calculator

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+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%

✖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 Component given Unit Weight of Soil [σ_n]

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Formula

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Normal Stress Component given Unit Weight of Soil

Formula

`"σ"_{"n"} = "γ"*"z"*(cos(("i"*pi)/180))^2`

Example

`"53.97948kPa"="18kN/m³"*"3m"*(cos(("64°"*pi)/180))^2`

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Normal Stress Component given Unit Weight of Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 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_n = γ*z*(cos((i*pi)/180))^2 --> 18000*3*(cos((1.11701072127616*pi)/180))^2

Evaluating ... ...

σ_n = 53979.4785447009

STEP 3: Convert Result to Output's Unit

53979.4785447009 Pascal -->53.9794785447009 Kilopascal (Check conversion here)

FINAL ANSWER

53.9794785447009 ≈ 53.97948 Kilopascal <-- Normal Stress in kp

(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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< 5 Normal Stress Component Calculators

Unit Weight of Soil given Normal Stress Component

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

Normal Stress Component given Unit Weight of Soil

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

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

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

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

Normal Stress Component given Unit Weight of Soil Formula

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

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. A normal stress will occur when a member is placed in tension or compression.

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

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

How to calculate Normal Stress Component given Unit Weight of Soil using this online calculator? To use this online calculator for Normal Stress Component given Unit Weight of Soil, enter Unit Weight of Soil (γ), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Normal Stress Component given Unit Weight of Soil calculation can be explained with given input values -> 0.053979 = 18000*3*(cos((1.11701072127616*pi)/180))^2.

FAQ

What is Normal Stress Component given Unit Weight of Soil?

The Normal Stress Component given Unit Weight of Soil is defined as the value of normal stress component when we have prior information of other parameters used and is represented as σ_n = γ*z*(cos((i*pi)/180))^2 or Normal Stress in kp = Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2. Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, 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 Normal Stress Component given Unit Weight of Soil?

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

In this formula, Normal Stress in kp uses Unit Weight of Soil, Depth of Prism & Angle of Inclination to Horizontal in Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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