Inclined Length along Slope given Volume Per Unit Length of Prism Calculator

✖Volume per unit length of prism means ratio of volume of prism to length of prism.ⓘ Volume per unit length of prism [V_l]			+10% -10%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+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 Volume Per Unit Length of Prism [b]

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Formula

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Inclined Length along Slope given Volume Per Unit Length of Prism

Formula

b = \frac{V l}{z \cdot \cos ((I))}

Example

9.597951 m = \frac{5 m²}{3 m \cdot \cos ((80 °))}

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Inclined Length along Slope given Volume Per Unit Length of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inclined Length = Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination)))
b = V_l/(z*cos((I)))
This formula uses 1 Functions, 4 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.
Volume per unit length of prism - (Measured in Square Meter) - Volume per unit length of prism means ratio of volume of prism to length of prism.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
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

Volume per unit length of prism: 5 Square Meter --> 5 Square Meter No Conversion Required
Depth of Prism: 3 Meter --> 3 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 = V_l/(z*cos((I))) --> 5/(3*cos((1.3962634015952)))

Evaluating ... ...

b = 9.59795080522504

STEP 3: Convert Result to Output's Unit

9.59795080522504 Meter --> No Conversion Required

FINAL ANSWER

9.59795080522504 ≈ 9.597951 Meter <-- Inclined Length

(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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< Stability Analysis of Infinite Slopes in Prism Calculators

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)))

Inclined Length along Slope given Volume Per Unit Length of Prism Formula

Inclined Length = Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination)))
b = V_l/(z*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 Volume Per Unit Length of Prism?

Inclined Length along Slope given Volume Per Unit Length of Prism calculator uses Inclined Length = Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination))) to calculate the Inclined Length, The Inclined Length along Slope given Volume Per Unit Length of Prism is defined as value of inclined length along slope when we have prior information of other parameters used. Inclined Length is denoted by b symbol.

How to calculate Inclined Length along Slope given Volume Per Unit Length of Prism using this online calculator? To use this online calculator for Inclined Length along Slope given Volume Per Unit Length of Prism, enter Volume per unit length of prism (V_l), Depth of Prism (z) & Angle of Inclination (I) and hit the calculate button. Here is how the Inclined Length along Slope given Volume Per Unit Length of Prism calculation can be explained with given input values -> 9.597951 = 5/(3*cos((1.3962634015952))).

FAQ

What is Inclined Length along Slope given Volume Per Unit Length of Prism?

The Inclined Length along Slope given Volume Per Unit Length of Prism is defined as value of inclined length along slope when we have prior information of other parameters used and is represented as b = V_l/(z*cos((I))) or Inclined Length = Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination))). Volume per unit length of prism means ratio of volume of prism to length of prism, Depth of Prism is the length of prism along z direction & 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 Volume Per Unit Length of Prism?

The Inclined Length along Slope given Volume Per Unit Length of Prism is defined as value of inclined length along slope when we have prior information of other parameters used is calculated using Inclined Length = Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination))). To calculate Inclined Length along Slope given Volume Per Unit Length of Prism, you need Volume per unit length of prism (V_l), Depth of Prism (z) & Angle of Inclination (I). With our tool, you need to enter the respective value for Volume per unit length of prism, Depth 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 Volume per unit length of prism, Depth 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 = Horizontal Length of Prism/cos((Angle of Inclination))
Inclined Length = Weight of Prism/Vertical Stress at a Point*5

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