Inclined Length along Slope given Horizontal Length of Prism Calculator

✖Horizontal Length of Prism is the horizontal component of prism length.ⓘ Horizontal Length of Prism [L]			+10% -10%
✖Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination [I]			+10% -10%

✖Inclined Length of prism is along the slope.ⓘ Inclined Length along Slope given Horizontal Length of Prism [b]

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Formula

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Inclined Length along Slope given Horizontal Length of Prism

Formula

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

Example

`"11.51754m"="2m"/cos(("80°"))`

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Inclined Length along Slope given Horizontal Length of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inclined Length = Horizontal Length of Prism/cos((Angle of Inclination))
b = L/cos((I))
This formula uses 1 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)

Variables Used

Inclined Length - (Measured in Meter) - Inclined Length of prism is along the slope.
Horizontal Length of Prism - (Measured in Meter) - Horizontal Length of Prism is the horizontal component of prism length.
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.

STEP 1: Convert Input(s) to Base Unit

Horizontal Length of Prism: 2 Meter --> 2 Meter No Conversion Required
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = L/cos((I)) --> 2/cos((1.3962634015952))

Evaluating ... ...

b = 11.51754096627

STEP 3: Convert Result to Output's Unit

11.51754096627 Meter --> No Conversion Required

FINAL ANSWER

11.51754096627 ≈ 11.51754 Meter <-- Inclined Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes in Prism » Inclined Length along Slope given Horizontal Length of Prism

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 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

Inclined Length along Slope given Horizontal Length of Prism Formula

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

What is Slope?

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line.

How to Calculate Inclined Length along Slope given Horizontal Length of Prism?

Inclined Length along Slope given Horizontal Length of Prism calculator uses Inclined Length = Horizontal Length of Prism/cos((Angle of Inclination)) to calculate the Inclined Length, The Inclined Length along Slope given Horizontal Length of Prism is defined as the diagonal distance of a prism, measured along the slope from its base. Inclined Length is denoted by b symbol.

How to calculate Inclined Length along Slope given Horizontal Length of Prism using this online calculator? To use this online calculator for Inclined Length along Slope given Horizontal Length of Prism, enter Horizontal Length of Prism (L) & Angle of Inclination (I) and hit the calculate button. Here is how the Inclined Length along Slope given Horizontal Length of Prism calculation can be explained with given input values -> 11.51754 = 2/cos((1.3962634015952)).

FAQ

What is Inclined Length along Slope given Horizontal Length of Prism?

The Inclined Length along Slope given Horizontal Length of Prism is defined as the diagonal distance of a prism, measured along the slope from its base and is represented as b = L/cos((I)) or Inclined Length = Horizontal Length of Prism/cos((Angle of Inclination)). Horizontal Length of Prism is the horizontal component of prism length & Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Inclined Length along Slope given Horizontal Length of Prism?

The Inclined Length along Slope given Horizontal Length of Prism is defined as the diagonal distance of a prism, measured along the slope from its base is calculated using Inclined Length = Horizontal Length of Prism/cos((Angle of Inclination)). To calculate Inclined Length along Slope given Horizontal Length of Prism, you need Horizontal Length of Prism (L) & Angle of Inclination (I). With our tool, you need to enter the respective value for Horizontal Length of Prism & Angle of Inclination 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 Inclined Length?

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

Inclined Length = Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination)))
Inclined Length = Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination)))
Inclined Length = Weight of Prism/Vertical Stress at a Point*5

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