Normal Stress Component given Vertical Stress 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%
✖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 Vertical Stress [σ_n]

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Formula

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Normal Stress Component given Vertical Stress

Formula

`"σ"_{"n"} = "σ"_{"zkp"}*cos(("i"*pi)/180)`

Example

`"52.98993kPa"="53kPa"*cos(("64°"*pi)/180)`

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Normal Stress Component given Vertical Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress in kp = Vertical Stress at a Point in Kilopascal*cos((Angle of Inclination to Horizontal in Soil*pi)/180)
σ_n = σ_zkp*cos((i*pi)/180)
This formula uses 1 Constants, 1 Functions, 3 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.
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.
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)
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 = σ_zkp*cos((i*pi)/180) --> 53000*cos((1.11701072127616*pi)/180)

Evaluating ... ...

σ_n = 52989.9283288579

STEP 3: Convert Result to Output's Unit

52989.9283288579 Pascal -->52.9899283288579 Kilopascal (Check conversion here)

FINAL ANSWER

52.9899283288579 ≈ 52.98993 Kilopascal <-- Normal Stress in kp

(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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< 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 Vertical Stress Formula

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

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 Vertical Stress?

Normal Stress Component given Vertical Stress calculator uses Normal Stress in kp = Vertical Stress at a Point in Kilopascal*cos((Angle of Inclination to Horizontal in Soil*pi)/180) to calculate the Normal Stress in kp, The Normal Stress Component given Vertical Stress 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 Vertical Stress using this online calculator? To use this online calculator for Normal Stress Component given Vertical Stress, enter Vertical Stress at a Point in Kilopascal (σ_zkp) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Normal Stress Component given Vertical Stress calculation can be explained with given input values -> 0.05299 = 53000*cos((1.11701072127616*pi)/180).

FAQ

What is Normal Stress Component given Vertical Stress?

The Normal Stress Component given Vertical Stress is defined as the value of normal stress component when we have prior information of other parameters used and is represented as σ_n = σ_zkp*cos((i*pi)/180) or Normal Stress in kp = Vertical Stress at a Point in Kilopascal*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 & 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 Vertical Stress?

The Normal Stress Component given Vertical Stress 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 = Vertical Stress at a Point in Kilopascal*cos((Angle of Inclination to Horizontal in Soil*pi)/180). To calculate Normal Stress Component given Vertical Stress, you need Vertical Stress at a Point in Kilopascal (σ_zkp) & 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 & 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 Vertical Stress at a Point in Kilopascal & 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 = Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2

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