Weight of Soil Prism in Stability Analysis Calculator

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖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%

✖Weight of Prism means the weight of soil prism.ⓘ Weight of Soil Prism in Stability Analysis [W]

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Weight of Soil Prism in Stability Analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination)))
W = (γ*z*b*cos((I)))
This formula uses 1 Functions, 5 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

Weight of Prism - (Measured in Kilogram) - Weight of Prism means the weight of soil prism.
Unit Weight of Soil - (Measured in Kilonewton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
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

Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic Meter No Conversion Required
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

W = (γ*z*b*cos((I))) --> (18*3*10*cos((1.3962634015952)))

Evaluating ... ...

W = 93.7700159402826

STEP 3: Convert Result to Output's Unit

93.7700159402826 Kilogram --> No Conversion Required

FINAL ANSWER

93.7700159402826 ≈ 93.77002 Kilogram <-- Weight of Prism

(Calculation completed in 00.004 seconds)

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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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< 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)))

Weight of Soil Prism in Stability Analysis Formula

LaTeX Go

Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination)))
W = (γ*z*b*cos((I)))

What is Weight?

The weight of an object is the force acting on the object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on the object.

How to Calculate Weight of Soil Prism in Stability Analysis?

Weight of Soil Prism in Stability Analysis calculator uses Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination))) to calculate the Weight of Prism, The Weight of Soil Prism in Stability Analysis is defined as the total force exerted by a soil column on its base. Weight of Prism is denoted by W symbol.

How to calculate Weight of Soil Prism in Stability Analysis using this online calculator? To use this online calculator for Weight of Soil Prism in Stability Analysis, enter Unit Weight of Soil (γ), Depth of Prism (z), Inclined Length (b) & Angle of Inclination (I) and hit the calculate button. Here is how the Weight of Soil Prism in Stability Analysis calculation can be explained with given input values -> 93.77002 = (18000*3*10*cos((1.3962634015952))).

FAQ

What is Weight of Soil Prism in Stability Analysis?

The Weight of Soil Prism in Stability Analysis is defined as the total force exerted by a soil column on its base and is represented as W = (γ*z*b*cos((I))) or Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination))). Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, 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 Weight of Soil Prism in Stability Analysis?

The Weight of Soil Prism in Stability Analysis is defined as the total force exerted by a soil column on its base is calculated using Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination))). To calculate Weight of Soil Prism in Stability Analysis, you need Unit Weight of Soil (γ), Depth of Prism (z), Inclined Length (b) & Angle of Inclination (I). With our tool, you need to enter the respective value for Unit Weight of Soil, 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.

How many ways are there to calculate Weight of Prism?

In this formula, Weight of Prism uses Unit Weight of Soil, Depth of Prism, Inclined Length & Angle of Inclination. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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