Inclined Length along Slope given Vertical Stress on Surface of Prism Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inclined Length = Weight of Prism/Vertical Stress at a Point*5
b = W/ฯƒz*5
This formula uses 3 Variables
Variables Used
Inclined Length - (Measured in Meter) - Inclined Length of prism is along the slope.
Weight of Prism - (Measured in Kilogram) - Weight of Prism means the weight of soil prism.
Vertical Stress at a Point - (Measured in Megapascal) - Vertical Stress at a Point is the stress acting perpendicular to the surface.
STEP 1: Convert Input(s) to Base Unit
Weight of Prism: 100 Kilogram --> 100 Kilogram No Conversion Required
Vertical Stress at a Point: 10 Megapascal --> 10 Megapascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = W/ฯƒz*5 --> 100/10*5
Evaluating ... ...
b = 50
STEP 3: Convert Result to Output's Unit
50 Meter --> No Conversion Required
FINAL ANSWER
50 Meter <-- Inclined Length
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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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

Inclined Length along Slope given Vertical Stress on Surface of Prism Formula

Inclined Length = Weight of Prism/Vertical Stress at a Point*5
b = W/ฯƒz*5

What is Slope?

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line.

How to Calculate Inclined Length along Slope given Vertical Stress on Surface of Prism?

Inclined Length along Slope given Vertical Stress on Surface of Prism calculator uses Inclined Length = Weight of Prism/Vertical Stress at a Point*5 to calculate the Inclined Length, The Inclined Length along Slope given Vertical Stress on Surface of Prism is defined as the distance on the surface of a prism, influenced by vertical stress. Inclined Length is denoted by b symbol.

How to calculate Inclined Length along Slope given Vertical Stress on Surface of Prism using this online calculator? To use this online calculator for Inclined Length along Slope given Vertical Stress on Surface of Prism, enter Weight of Prism (W) & Vertical Stress at a Point (ฯƒz) and hit the calculate button. Here is how the Inclined Length along Slope given Vertical Stress on Surface of Prism calculation can be explained with given input values -> 5 = 100/10000000*5.

FAQ

What is Inclined Length along Slope given Vertical Stress on Surface of Prism?
The Inclined Length along Slope given Vertical Stress on Surface of Prism is defined as the distance on the surface of a prism, influenced by vertical stress and is represented as b = W/ฯƒz*5 or Inclined Length = Weight of Prism/Vertical Stress at a Point*5. Weight of Prism means the weight of soil prism & Vertical Stress at a Point is the stress acting perpendicular to the surface.
How to calculate Inclined Length along Slope given Vertical Stress on Surface of Prism?
The Inclined Length along Slope given Vertical Stress on Surface of Prism is defined as the distance on the surface of a prism, influenced by vertical stress is calculated using Inclined Length = Weight of Prism/Vertical Stress at a Point*5. To calculate Inclined Length along Slope given Vertical Stress on Surface of Prism, you need Weight of Prism (W) & Vertical Stress at a Point (ฯƒz). With our tool, you need to enter the respective value for Weight of Prism & Vertical Stress at a Point 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 Inclined Length?
In this formula, Inclined Length uses Weight of Prism & Vertical Stress at a Point. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Inclined Length = Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination)))
  • Inclined Length = Horizontal Length of Prism/cos((Angle of Inclination))
  • Inclined Length = Volume per unit length of prism/(Depth of Prism*cos((Angle of Inclination)))
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