Depth of Prism given Vertical Stress on Surface of Prism Calculator

✖Vertical Stress at a Point in Pascal is the stress acting perpendicular to the surface.ⓘ Vertical Stress at a Point in Pascal [σ_vertical]			+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%
✖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 Vertical Stress on Surface of Prism [z]

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Depth of Prism given Vertical Stress on Surface of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Prism = Vertical Stress at a Point in Pascal/(Unit Weight of Soil*cos((Angle of Inclination)))
z = σ_vertical/(γ*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

Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
Vertical Stress at a Point in Pascal - (Measured in Pascal) - Vertical Stress at a Point in Pascal is the stress acting perpendicular to the surface.
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.
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

Vertical Stress at a Point in Pascal: 10 Pascal --> 10 Pascal No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic 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 = σ_vertical/(γ*cos((I))) --> 10/(18*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 00.020 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 Vertical Stress on Surface of Prism Formula

LaTeX Go

Depth of Prism = Vertical Stress at a Point in Pascal/(Unit Weight of Soil*cos((Angle of Inclination)))
z = σ_vertical/(γ*cos((I)))

What is Vertical Stress?

In other words the vertical stress (σv) and horizontal stress (σH) are principal stresses. The vertical stress on element A can be determined simply from the mass of the. overlying material.

How to Calculate Depth of Prism given Vertical Stress on Surface of Prism?

Depth of Prism given Vertical Stress on Surface of Prism calculator uses Depth of Prism = Vertical Stress at a Point in Pascal/(Unit Weight of Soil*cos((Angle of Inclination))) to calculate the Depth of Prism, The Depth of Prism given Vertical Stress on Surface of Prism is defined as the distance below the surface where vertical stress is applied to the prism. Depth of Prism is denoted by z symbol.

How to calculate Depth of Prism given Vertical Stress on Surface of Prism using this online calculator? To use this online calculator for Depth of Prism given Vertical Stress on Surface of Prism, enter Vertical Stress at a Point in Pascal (σ_vertical), Unit Weight of Soil (γ) & Angle of Inclination (I) and hit the calculate button. Here is how the Depth of Prism given Vertical Stress on Surface of Prism calculation can be explained with given input values -> 0.383918 = 10/(18000*cos((1.3962634015952))).

FAQ

What is Depth of Prism given Vertical Stress on Surface of Prism?

The Depth of Prism given Vertical Stress on Surface of Prism is defined as the distance below the surface where vertical stress is applied to the prism and is represented as z = σ_vertical/(γ*cos((I))) or Depth of Prism = Vertical Stress at a Point in Pascal/(Unit Weight of Soil*cos((Angle of Inclination))). Vertical Stress at a Point in Pascal is the stress acting perpendicular to the surface, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & 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 Vertical Stress on Surface of Prism?

The Depth of Prism given Vertical Stress on Surface of Prism is defined as the distance below the surface where vertical stress is applied to the prism is calculated using Depth of Prism = Vertical Stress at a Point in Pascal/(Unit Weight of Soil*cos((Angle of Inclination))). To calculate Depth of Prism given Vertical Stress on Surface of Prism, you need Vertical Stress at a Point in Pascal (σ_vertical), Unit Weight of Soil (γ) & Angle of Inclination (I). With our tool, you need to enter the respective value for Vertical Stress at a Point in Pascal, Unit Weight of Soil & 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 Vertical Stress at a Point in Pascal, Unit Weight of Soil & Angle of Inclination. We can use 3 other way(s) to calculate the same, which is/are as follows -

Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination)))
Depth of Prism = Volume per unit length of prism/(Inclined Length*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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