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

✖Weight of Prism means the weight of soil prism.ⓘ Weight of Prism [W]			+10% -10%
✖Vertical Stress at a Point is the stress acting perpendicular to the surface.ⓘ Vertical Stress at a Point [σ_z]			+10% -10%

✖Inclined Length of prism is along the slope.ⓘ Inclined Length along Slope given Vertical Stress on Surface of Prism [b]

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Formula

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Inclined Length along Slope given Vertical Stress on Surface of Prism

Formula

b = \frac{W}{σ z} \cdot 5

Example

50 m = \frac{100 kg}{10 MPa} \cdot 5

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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/σ_z*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/σ_z*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)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

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

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)))

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/σ_z*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 (σ_z) 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/σ_z*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 (σ_z). 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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