Volume Per Unit Length of Prism Calculator

✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+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 [I]			+10% -10%

✖Volume per unit length of prism means ratio of volume of prism to length of prism.ⓘ Volume Per Unit Length of Prism [V_l]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stability Analysis of Infinite Slopes in Prism Formulas PDF PDF Image

Volume Per Unit Length of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Inclined Length - (Measured in Meter) - Inclined Length of prism is along the slope.
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

Depth of Prism: 3 Meter --> 3 Meter No Conversion Required
Inclined Length: 10 Meter --> 10 Meter No Conversion Required
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_l = (z*b*cos((I))) --> (3*10*cos((1.3962634015952)))

Evaluating ... ...

V_l = 5.2094453300157

STEP 3: Convert Result to Output's Unit

5.2094453300157 Square Meter --> No Conversion Required

FINAL ANSWER

5.2094453300157 ≈ 5.209445 Square Meter <-- Volume per unit length of prism

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes in Prism » Volume Per Unit Length of Prism

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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

< Stability Analysis of Infinite Slopes in Prism Calculators

Inclined Length along Slope given Weight of Soil Prism

LaTeX 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

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

Weight of Soil Prism in Stability Analysis

LaTeX 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

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

Volume Per Unit Length of Prism Formula

LaTeX Go

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

What is Inclined Length?

The slope length is calculated using the Pythagorean Theorem, where the vertical distance is the rise and the horizontal distance is the run.

How to Calculate Volume Per Unit Length of Prism?

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

How to calculate Volume Per Unit Length of Prism using this online calculator? To use this online calculator for Volume Per Unit Length of Prism, enter Depth of Prism (z), Inclined Length (b) & Angle of Inclination (I) and hit the calculate button. Here is how the Volume Per Unit Length of Prism calculation can be explained with given input values -> 5.209445 = (3*10*cos((1.3962634015952))).

FAQ

What is Volume Per Unit Length of Prism?

The Volume Per Unit Length of Prism is defined as the value of volume per unit length of soil prism when we have prior information of other parameters used and is represented as V_l = (z*b*cos((I))) or Volume per unit length of prism = (Depth of Prism*Inclined Length*cos((Angle of Inclination))). Depth of Prism is the length of prism along z direction, Inclined Length of prism is along the slope & Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Volume Per Unit Length of Prism?

The Volume Per Unit Length of Prism is defined as the value of volume per unit length of soil prism when we have prior information of other parameters used is calculated using Volume per unit length of prism = (Depth of Prism*Inclined Length*cos((Angle of Inclination))). To calculate Volume Per Unit Length of Prism, you need Depth of Prism (z), Inclined Length (b) & Angle of Inclination (I). With our tool, you need to enter the respective value for Depth of Prism, Inclined Length & Angle of Inclination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search