Vertical Stress on Surface of Prism Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vertical Stress at a Point = Weight of Prism/Inclined Length
σz = 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
σz = W/b --> 100/10
Evaluating ... ...
σz = 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 00.004 seconds)

Credits

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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)))

Vertical Stress on Surface of Prism Formula

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