Weight of Soil 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%
✖Inclined Length of prism is along the slope.ⓘ Inclined Length [b]			+10% -10%

✖Weight of Prism means the weight of soil prism.ⓘ Weight of Soil Prism given Vertical Stress on Surface of Prism [W]

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Formula

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Weight of Soil Prism given Vertical Stress on Surface of Prism

Formula

`"W" = "σ"_{"vertical"}*"b"`

Example

`"100kg"="10Pa"*"10m"`

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Weight of Soil Prism given Vertical Stress on Surface of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight of Prism = Vertical Stress at a Point in Pascal*Inclined Length
W = σ_vertical*b
This formula uses 3 Variables

Variables Used

Weight of Prism - (Measured in Kilogram) - Weight of Prism means the weight of soil prism.
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.
Inclined Length - (Measured in Meter) - Inclined Length of prism is along the slope.

STEP 1: Convert Input(s) to Base Unit

Vertical Stress at a Point in Pascal: 10 Pascal --> 10 Pascal No Conversion Required
Inclined Length: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = σ_vertical*b --> 10*10

Evaluating ... ...

W = 100

STEP 3: Convert Result to Output's Unit

100 Kilogram --> No Conversion Required

FINAL ANSWER

100 Kilogram <-- Weight of Prism

(Calculation completed in 00.004 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

Weight of Soil Prism given Vertical Stress on Surface of Prism Formula

Weight of Prism = Vertical Stress at a Point in Pascal*Inclined Length
W = σ_vertical*b

What is Weight?

The weight of an object is the force acting on the object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on the object. Others define weight as a scalar quantity, the magnitude of the gravitational force.

How to Calculate Weight of Soil Prism given Vertical Stress on Surface of Prism?

Weight of Soil Prism given Vertical Stress on Surface of Prism calculator uses Weight of Prism = Vertical Stress at a Point in Pascal*Inclined Length to calculate the Weight of Prism, The Weight of Soil Prism given Vertical Stress on Surface of Prism is defined as the total downward force exerted on its surface due to applied vertical stress. Weight of Prism is denoted by W symbol.

How to calculate Weight of Soil Prism given Vertical Stress on Surface of Prism using this online calculator? To use this online calculator for Weight of Soil Prism given Vertical Stress on Surface of Prism, enter Vertical Stress at a Point in Pascal (σ_vertical) & Inclined Length (b) and hit the calculate button. Here is how the Weight of Soil Prism given Vertical Stress on Surface of Prism calculation can be explained with given input values -> 100 = 10*10.

FAQ

What is Weight of Soil Prism given Vertical Stress on Surface of Prism?

The Weight of Soil Prism given Vertical Stress on Surface of Prism is defined as the total downward force exerted on its surface due to applied vertical stress and is represented as W = σ_vertical*b or Weight of Prism = Vertical Stress at a Point in Pascal*Inclined Length. Vertical Stress at a Point in Pascal is the stress acting perpendicular to the surface & Inclined Length of prism is along the slope.

How to calculate Weight of Soil Prism given Vertical Stress on Surface of Prism?

The Weight of Soil Prism given Vertical Stress on Surface of Prism is defined as the total downward force exerted on its surface due to applied vertical stress is calculated using Weight of Prism = Vertical Stress at a Point in Pascal*Inclined Length. To calculate Weight of Soil Prism given Vertical Stress on Surface of Prism, you need Vertical Stress at a Point in Pascal (σ_vertical) & Inclined Length (b). With our tool, you need to enter the respective value for Vertical Stress at a Point in Pascal & 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 Weight of Prism?

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

Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination)))

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