Angle of Inclination 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%
✖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 given Normal Stress Component [i]

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Angle of Inclination given Normal Stress Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Inclination to Horizontal in Soil = acos(Normal Stress in kp/Vertical Stress at a Point in Kilopascal)
i = acos(σ_n/σ_zkp)
This formula uses 2 Functions, 3 Variables

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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Normal Stress in kp: 50 Kilopascal --> 50000 Pascal (Check conversion here)
Vertical Stress at a Point in Kilopascal: 53 Kilopascal --> 53000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = acos(σ_n/σ_zkp) --> acos(50000/53000)

Evaluating ... ...

i = 0.338070943621908

STEP 3: Convert Result to Output's Unit

0.338070943621908 Radian -->19.3700382455442 Degree (Check conversion here)

FINAL ANSWER

19.3700382455442 ≈ 19.37004 Degree <-- Angle of Inclination to Horizontal in 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)

Angle of Inclination given Normal Stress Component Formula

LaTeX Go

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

What is Angle of Inclination?

The angle inclination of a line is the angle formed by the intersection of the line and the x-axis. Using a horizontal "run" of 1 and m for slope, the angle of inclination, theta=tan-1(m), or m=tan(theta).

How to Calculate Angle of Inclination given Normal Stress Component?

Angle of Inclination given Normal Stress Component calculator uses Angle of Inclination to Horizontal in Soil = acos(Normal Stress in kp/Vertical Stress at a Point in Kilopascal) to calculate the Angle of Inclination to Horizontal in Soil, The Angle of Inclination given Normal Stress Component is defined as the value of angle of inclination when we have prior information of other parameters used. Angle of Inclination to Horizontal in Soil is denoted by i symbol.

How to calculate Angle of Inclination given Normal Stress Component using this online calculator? To use this online calculator for Angle of Inclination given Normal Stress Component, enter Normal Stress in kp (σ_n) & Vertical Stress at a Point in Kilopascal (σ_zkp) and hit the calculate button. Here is how the Angle of Inclination given Normal Stress Component calculation can be explained with given input values -> 1109.821 = acos(50000/53000).

FAQ

What is Angle of Inclination given Normal Stress Component?

The Angle of Inclination given Normal Stress Component is defined as the value of angle of inclination when we have prior information of other parameters used and is represented as i = acos(σ_n/σ_zkp) or Angle of Inclination to Horizontal in Soil = acos(Normal Stress in kp/Vertical Stress at a Point in Kilopascal). 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 is the stress acting perpendicular to the surface in kilopascal.

How to calculate Angle of Inclination given Normal Stress Component?

The Angle of Inclination given Normal Stress Component is defined as the value of angle of inclination when we have prior information of other parameters used is calculated using Angle of Inclination to Horizontal in Soil = acos(Normal Stress in kp/Vertical Stress at a Point in Kilopascal). To calculate Angle of Inclination given Normal Stress Component, you need Normal Stress in kp (σ_n) & Vertical Stress at a Point in Kilopascal (σ_zkp). With our tool, you need to enter the respective value for Normal Stress in kp & Vertical Stress at a Point in Kilopascal 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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