Angle of Inclination given Horizontal Length of Prism Calculator

✖Horizontal Length of Prism is the horizontal component of prism length.ⓘ Horizontal Length of Prism [L]			+10% -10%
✖Inclined Length of prism is along the slope.ⓘ Inclined Length [b]			+10% -10%

✖Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination given Horizontal Length of Prism [I]

⎘ Copy

👎

Formula

✖

Angle of Inclination given Horizontal Length of Prism

Formula

`"I" = acos("L"/"b")`

Example

`"78.46304°"=acos("2m"/"10m")`

Calculator

LaTeX

Reset

👍

Download Stability Analysis of Infinite Slopes in Prism Formulas PDF

Angle of Inclination given Horizontal Length of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Inclination = acos(Horizontal Length of Prism/Inclined Length)
I = acos(L/b)
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 - (Measured in Radian) - Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.
Horizontal Length of Prism - (Measured in Meter) - Horizontal Length of Prism is the horizontal component of prism length.
Inclined Length - (Measured in Meter) - Inclined Length of prism is along the slope.

STEP 1: Convert Input(s) to Base Unit

Horizontal Length of Prism: 2 Meter --> 2 Meter No Conversion Required
Inclined Length: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = acos(L/b) --> acos(2/10)

Evaluating ... ...

I = 1.36943840600457

STEP 3: Convert Result to Output's Unit

1.36943840600457 Radian -->78.4630409671993 Degree (Check conversion here)

FINAL ANSWER

78.4630409671993 ≈ 78.46304 Degree <-- Angle of Inclination

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes in Prism » Angle of Inclination given Horizontal Length of Prism

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 23 Stability Analysis of Infinite Slopes in Prism Calculators

Unit Weight of Soil given Factor of Safety for Cohesive Soil

Go Unit Weight of Soil = Cohesion of Soil/((Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination*pi)/180)))*Depth of Prism*cos((Angle of Inclination*pi)/180)*sin((Angle of Inclination*pi)/180))

Cohesion given Factor of Safety for Cohesive Soil

Go Cohesion of Soil = (Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination*pi)/180)))*(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination*pi)/180)*sin((Angle of Inclination*pi)/180))

Depth of Prism given Factor of Safety for Cohesive Soil

Go Depth of Prism = Unit Cohesion/((Factor of Safety-(tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination))))*Unit Weight of Soil*cos((Angle of Inclination))*sin((Angle of Inclination)))

Factor of Safety for Cohesive Soil given Cohesion

Go Factor of Safety = (Unit Cohesion/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination))*sin((Angle of Inclination))))+(tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))

Inclined Length along Slope given Weight of Soil Prism

Go Inclined Length = Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination)))

Unit Weight of Soil given Weight of Soil Prism

Go Unit Weight of Soil = Weight of Prism/(Depth of Prism*Inclined Length*cos((Angle of Inclination)))

Weight of Soil Prism in Stability Analysis

Go Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination)))

Depth of Prism given Weight of Soil Prism

Go Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination)))

Angle of Inclination given Weight of Soil Prism

Go Angle of Inclination = acos(Weight of Prism/(Unit Weight of Soil*Depth of Prism*Inclined Length))

Unit Weight of Soil given Vertical Stress on Surface of Prism

Go Unit Weight of Soil = Vertical Stress at a Point in Pascal/(Depth of Prism*cos((Angle of Inclination)))

Depth of Prism given Vertical Stress on Surface of Prism

Go Depth of Prism = Vertical Stress at a Point in Pascal/(Unit Weight of Soil*cos((Angle of Inclination)))

Angle of Inclination given Vertical Stress on Surface of Prism

Go Angle of Inclination = acos(Vertical Stress at a Point in Pascal/(Depth of Prism*Unit Weight of Soil))

Inclined Length along Slope given Volume Per Unit Length of Prism

Go Inclined Length = Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination)))

Depth of Prism given Volume per Unit Length of Prism

Go Depth of Prism = Volume per unit length of prism/(Inclined Length*cos((Angle of Inclination)))

Volume Per Unit Length of Prism

Go Volume per unit length of prism = (Depth of Prism*Inclined Length*cos((Angle of Inclination)))

Vertical Stress on Surface of Prism given Unit Weight of Soil

Go Vertical Stress at a Point = (Depth of Prism*Unit Weight of Soil*cos((Angle of Inclination)))

Angle of Inclination given Volume per Unit Length of Prism

Go Angle of Inclination = acos(Volume per unit length of prism/(Depth of Prism*Inclined Length))

Inclined Length along Slope given Horizontal Length of Prism

Go Inclined Length = Horizontal Length of Prism/cos((Angle of Inclination))

Horizontal Length of Prism

Go Horizontal Length of Prism = Inclined Length*cos((Angle of Inclination))

Angle of Inclination given Horizontal Length of Prism

Go Angle of Inclination = acos(Horizontal Length of Prism/Inclined Length)

Weight of Soil Prism given Vertical Stress on Surface of Prism

Go Weight of Prism = Vertical Stress at a Point in Pascal*Inclined Length

Inclined Length along Slope given Vertical Stress on Surface of Prism

Go Inclined Length = Weight of Prism/Vertical Stress at a Point*5

Vertical Stress on Surface of Prism

Go Vertical Stress at a Point = Weight of Prism/Inclined Length

Angle of Inclination given Horizontal Length of Prism Formula

Angle of Inclination = acos(Horizontal Length of Prism/Inclined Length)
I = acos(L/b)

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 Horizontal Length of Prism?

Angle of Inclination given Horizontal Length of Prism calculator uses Angle of Inclination = acos(Horizontal Length of Prism/Inclined Length) to calculate the Angle of Inclination, The Angle of Inclination given Horizontal Length of Prism is defined as angle of inclination is the angle formed between the horizontal length of a prism and its inclined side. Angle of Inclination is denoted by I symbol.

How to calculate Angle of Inclination given Horizontal Length of Prism using this online calculator? To use this online calculator for Angle of Inclination given Horizontal Length of Prism, enter Horizontal Length of Prism (L) & Inclined Length (b) and hit the calculate button. Here is how the Angle of Inclination given Horizontal Length of Prism calculation can be explained with given input values -> 4495.601 = acos(2/10).

FAQ

What is Angle of Inclination given Horizontal Length of Prism?

The Angle of Inclination given Horizontal Length of Prism is defined as angle of inclination is the angle formed between the horizontal length of a prism and its inclined side and is represented as I = acos(L/b) or Angle of Inclination = acos(Horizontal Length of Prism/Inclined Length). Horizontal Length of Prism is the horizontal component of prism length & Inclined Length of prism is along the slope.

How to calculate Angle of Inclination given Horizontal Length of Prism?

The Angle of Inclination given Horizontal Length of Prism is defined as angle of inclination is the angle formed between the horizontal length of a prism and its inclined side is calculated using Angle of Inclination = acos(Horizontal Length of Prism/Inclined Length). To calculate Angle of Inclination given Horizontal Length of Prism, you need Horizontal Length of Prism (L) & Inclined Length (b). With our tool, you need to enter the respective value for Horizontal Length of Prism & Inclined Length 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 Angle of Inclination?

In this formula, Angle of Inclination uses Horizontal Length of Prism & Inclined Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

Angle of Inclination = acos(Weight of Prism/(Unit Weight of Soil*Depth of Prism*Inclined Length))
Angle of Inclination = acos(Volume per unit length of prism/(Depth of Prism*Inclined Length))
Angle of Inclination = acos(Vertical Stress at a Point in Pascal/(Depth of Prism*Unit Weight of Soil))

Home

FREE PDFs

🔍 Search