Depth of Prism given Weight of Soil Prism Calculator

✖Weight of Prism means the weight of soil prism.ⓘ Weight of Prism [W]			+10% -10%
✖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%
✖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%

✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism given Weight of Soil Prism [z]

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Depth of Prism given Weight of Soil Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
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.
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

Weight of Prism: 100 Kilogram --> 100 Kilogram No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic 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

z = W/(γ*b*cos((I))) --> 100/(18*10*cos((1.3962634015952)))

Evaluating ... ...

z = 3.19931693507501

STEP 3: Convert Result to Output's Unit

3.19931693507501 Meter --> No Conversion Required

FINAL ANSWER

3.19931693507501 ≈ 3.199317 Meter <-- Depth 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)))

Depth of Prism given Weight of Soil Prism Formula

LaTeX Go

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

What is Unit Weight of Soil?

Unit weight for a soil is a property of a soil which is used to solve the problems related to the earthwork. Unit weight is also known by the name specific weight. Unit weight of the soil is the total weight of the soil divided by total volume.

How to Calculate Depth of Prism given Weight of Soil Prism?

Depth of Prism given Weight of Soil Prism calculator uses Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination))) to calculate the Depth of Prism, The Depth of Prism given Weight of Soil Prism is defined as the value of depth of prism when we have prior information of other parameters used. Depth of Prism is denoted by z symbol.

How to calculate Depth of Prism given Weight of Soil Prism using this online calculator? To use this online calculator for Depth of Prism given Weight of Soil Prism, enter Weight of Prism (W), Unit Weight of Soil (γ), Inclined Length (b) & Angle of Inclination (I) and hit the calculate button. Here is how the Depth of Prism given Weight of Soil Prism calculation can be explained with given input values -> 0.319932 = 100/(18000*10*cos((1.3962634015952))).

FAQ

What is Depth of Prism given Weight of Soil Prism?

The Depth of Prism given Weight of Soil Prism is defined as the value of depth of prism when we have prior information of other parameters used and is represented as z = W/(γ*b*cos((I))) or Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination))). Weight of Prism means the weight of soil prism, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, 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 Depth of Prism given Weight of Soil Prism?

The Depth of Prism given Weight of Soil Prism is defined as the value of depth of prism when we have prior information of other parameters used is calculated using Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination))). To calculate Depth of Prism given Weight of Soil Prism, you need Weight of Prism (W), Unit Weight of Soil (γ), Inclined Length (b) & Angle of Inclination (I). With our tool, you need to enter the respective value for Weight of Prism, Unit Weight of Soil, 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 Depth of Prism?

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

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

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