Vertical Stress on Surface of Prism Calculator

✖Weight of Prism means the weight of soil prism.ⓘ Weight of Prism [W]			+10% -10%
✖Inclined Length of prism is along the slope.ⓘ Inclined Length [b]			+10% -10%

✖Vertical Stress at a Point is the stress acting perpendicular to the surface.ⓘ Vertical Stress on Surface of Prism [σ_z]

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Formula

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Vertical Stress on Surface of Prism

Formula

`"σ"_{"z"} = "W"/"b"`

Example

`"1E^-5MPa"="100kg"/"10m"`

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Download Stability Analysis of Infinite Slopes in Prism Formulas PDF

Vertical Stress on Surface of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Stress at a Point = Weight of Prism/Inclined Length
σ_z = W/b
This formula uses 3 Variables

Variables Used

Vertical Stress at a Point - (Measured in Pascal) - Vertical Stress at a Point is the stress acting perpendicular to the surface.
Weight of Prism - (Measured in Kilogram) - Weight of Prism means the weight of soil prism.
Inclined Length - (Measured in Meter) - Inclined Length of prism is along the slope.

STEP 1: Convert Input(s) to Base Unit

Weight of Prism: 100 Kilogram --> 100 Kilogram No Conversion Required
Inclined Length: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_z = W/b --> 100/10

Evaluating ... ...

σ_z = 10

STEP 3: Convert Result to Output's Unit

10 Pascal -->1E-05 Megapascal (Check conversion here)

FINAL ANSWER

1E-05 ≈ 1E-5 Megapascal <-- Vertical Stress at a Point

(Calculation completed in 00.020 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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

< 23 Stability Analysis of Infinite Slopes in Prism Calculators

Unit Weight of Soil given Factor of Safety for Cohesive Soil

Go Unit Weight of Soil = Cohesion of Soil/((Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination*pi)/180)))*Depth of Prism*cos((Angle of Inclination*pi)/180)*sin((Angle of Inclination*pi)/180))

Cohesion given Factor of Safety for Cohesive Soil

Go Cohesion of Soil = (Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination*pi)/180)))*(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination*pi)/180)*sin((Angle of Inclination*pi)/180))

Depth of Prism given Factor of Safety for Cohesive Soil

Go 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)))

Factor of Safety for Cohesive Soil given Cohesion

Go Factor of Safety = (Unit Cohesion/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination))*sin((Angle of Inclination))))+(tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))

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)))

Angle of Inclination given Weight of Soil Prism

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

Unit Weight of Soil given Vertical Stress on Surface of Prism

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

Depth of Prism given Vertical Stress on Surface of Prism

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

Angle of Inclination given Vertical Stress on Surface of Prism

Go Angle of Inclination = acos(Vertical Stress at a Point in Pascal/(Depth of Prism*Unit Weight of Soil))

Inclined Length along Slope given Volume Per Unit Length of Prism

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

Depth of Prism given Volume per Unit Length of Prism

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

Volume Per Unit Length of Prism

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

Vertical Stress on Surface of Prism given Unit Weight of Soil

Go Vertical Stress at a Point = (Depth of Prism*Unit Weight of Soil*cos((Angle of Inclination)))

Angle of Inclination given Volume per Unit Length of Prism

Go Angle of Inclination = acos(Volume per unit length of prism/(Depth of Prism*Inclined Length))

Inclined Length along Slope given Horizontal Length of Prism

Go Inclined Length = Horizontal Length of Prism/cos((Angle of Inclination))

Horizontal Length of Prism

Go Horizontal Length of Prism = Inclined Length*cos((Angle of Inclination))

Angle of Inclination given Horizontal Length of Prism

Go Angle of Inclination = acos(Horizontal Length of Prism/Inclined Length)

Weight of Soil Prism given Vertical Stress on Surface of Prism

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

Inclined Length along Slope given Vertical Stress on Surface of Prism

Go Inclined Length = Weight of Prism/Vertical Stress at a Point*5

Vertical Stress on Surface of Prism

Go Vertical Stress at a Point = Weight of Prism/Inclined Length

Vertical Stress on Surface of Prism Formula

Vertical Stress at a Point = Weight of Prism/Inclined Length
σ_z = W/b

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 Vertical Stress on Surface of Prism?

Vertical Stress on Surface of Prism calculator uses Vertical Stress at a Point = Weight of Prism/Inclined Length to calculate the Vertical Stress at a Point, The Vertical Stress on Surface of Prism is defined as force per unit area acting vertically, causing compression or tension in materials. Vertical Stress at a Point is denoted by σ_z symbol.

How to calculate Vertical Stress on Surface of Prism using this online calculator? To use this online calculator for Vertical Stress on Surface of Prism, enter Weight of Prism (W) & Inclined Length (b) and hit the calculate button. Here is how the Vertical Stress on Surface of Prism calculation can be explained with given input values -> 1E-12 = 100/10.

FAQ

What is Vertical Stress on Surface of Prism?

The Vertical Stress on Surface of Prism is defined as force per unit area acting vertically, causing compression or tension in materials and is represented as σ_z = W/b or Vertical Stress at a Point = Weight of Prism/Inclined Length. Weight of Prism means the weight of soil prism & Inclined Length of prism is along the slope.

How to calculate Vertical Stress on Surface of Prism?

The Vertical Stress on Surface of Prism is defined as force per unit area acting vertically, causing compression or tension in materials is calculated using Vertical Stress at a Point = Weight of Prism/Inclined Length. To calculate Vertical Stress on Surface of Prism, you need Weight of Prism (W) & Inclined Length (b). With our tool, you need to enter the respective value for Weight of Prism & Inclined Length 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 Vertical Stress at a Point?

In this formula, Vertical Stress at a Point uses Weight of Prism & Inclined Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

Vertical Stress at a Point = (Depth of Prism*Unit Weight of Soil*cos((Angle of Inclination)))

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