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

GoUnit Weight of Soil given Weight of Soil Prism Formula

GoUnit Weight of Soil given Factor of Safety for Cohesive Soil Formula

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Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil. Check FAQs

γ = \frac{σ vertical}{z \cdot \cos ((I))}

γ - Unit Weight of Soil?σ_vertical - Vertical Stress at a Point in Pascal?z - Depth of Prism?I - Angle of Inclination?

Unit Weight of Soil given Vertical Stress on Surface of Prism Example

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Here is how the Unit Weight of Soil given Vertical Stress on Surface of Prism equation looks like with Values.

Here is how the Unit Weight of Soil given Vertical Stress on Surface of Prism equation looks like with Units.

Here is how the Unit Weight of Soil given Vertical Stress on Surface of Prism equation looks like.

19.1959 = \frac{10}{3 \cdot \cos ((80))}

19.1959kN/m³ = \frac{10Pa}{3m \cdot \cos ((80°))}

19.1959 = \frac{10}{3 \cdot \cos ((80))}

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

Follow our step by step solution on how to calculate Unit Weight of Soil given Vertical Stress on Surface of Prism?

FIRST Step Consider the formula

γ = \frac{σ vertical}{z \cdot \cos ((I))}

Next Step Substitute values of Variables

∴

γ = \frac{10Pa}{3m \cdot \cos ((80°))}

Next Step Convert Units

∴

γ = \frac{10Pa}{3m \cdot \cos ((1.3963rad))}

Next Step Prepare to Evaluate

∴

γ = \frac{10}{3 \cdot \cos ((1.3963))}

Next Step Evaluate

∴

γ = 19195.9016104501N/m³

Next Step Convert to Output's Unit

∴

γ = 19.1959016104501kN/m³

LAST Step Rounding Answer

∴

γ = 19.1959kN/m³

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

Variables

Functions

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Vertical Stress at a Point in Pascal

Vertical Stress at a Point in Pascal is the stress acting perpendicular to the surface.

Symbol: σ_vertical

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Vertical Stress at a Point in Pascal

Depth of Prism

Depth of Prism is the length of prism along z direction.

Symbol: z

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Prism

Angle of Inclination

Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.

Symbol: I

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Unit Weight of Soil

Go Unit Weight of Soil given Weight of Soil Prism

γ = \frac{W}{z \cdot b \cdot \cos ((I))}

Go Unit Weight of Soil given Factor of Safety for Cohesive Soil

γ = \frac{c}{(f s - (\frac{\tan (\frac{φ \cdot π}{180})}{\tan (\frac{I \cdot π}{180})})) \cdot z \cdot \cos (\frac{I \cdot π}{180}) \cdot \sin (\frac{I \cdot π}{180})}

Other formulas in Stability Analysis of Infinite Slopes in Prism category

Go Weight of Soil Prism in Stability Analysis

W = (γ \cdot z \cdot b \cdot \cos ((I)))

Go Inclined Length along Slope given Weight of Soil Prism

b = \frac{W}{γ \cdot z \cdot \cos ((I))}

Go Depth of Prism given Weight of Soil Prism

z = \frac{W}{γ \cdot b \cdot \cos ((I))}

Go Angle of Inclination given Weight of Soil Prism

I = a \cos (\frac{W}{γ \cdot z \cdot b})

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

Unit Weight of Soil given Vertical Stress on Surface of Prism evaluator uses Unit Weight of Soil = Vertical Stress at a Point in Pascal/(Depth of Prism*cos((Angle of Inclination))) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Vertical Stress on Surface of Prism is defined as the ratio of vertical stress on the surface of a prism to its volume. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Vertical Stress on Surface of Prism using this online evaluator? To use this online evaluator for Unit Weight of Soil given Vertical Stress on Surface of Prism, enter Vertical Stress at a Point in Pascal (σ_vertical), Depth of Prism (z) & Angle of Inclination (I) and hit the calculate button.

FAQs on Unit Weight of Soil given Vertical Stress on Surface of Prism

What is the formula to find Unit Weight of Soil given Vertical Stress on Surface of Prism?

The formula of Unit Weight of Soil given Vertical Stress on Surface of Prism is expressed as Unit Weight of Soil = Vertical Stress at a Point in Pascal/(Depth of Prism*cos((Angle of Inclination))). Here is an example- 0.002304 = 10/(3*cos((1.3962634015952))).

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

With Vertical Stress at a Point in Pascal (σ_vertical), Depth of Prism (z) & Angle of Inclination (I) we can find Unit Weight of Soil given Vertical Stress on Surface of Prism using the formula - Unit Weight of Soil = Vertical Stress at a Point in Pascal/(Depth of Prism*cos((Angle of Inclination))). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Unit Weight of Soil?

Here are the different ways to Calculate Unit Weight of Soil-

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

Can the Unit Weight of Soil given Vertical Stress on Surface of Prism be negative?

No, the Unit Weight of Soil given Vertical Stress on Surface of Prism, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Vertical Stress on Surface of Prism?

Unit Weight of Soil given Vertical Stress on Surface of Prism is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Unit Weight of Soil given Vertical Stress on Surface of Prism can be measured.

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

​GoUnit Weight of Soil given Weight of Soil Prism Formula

​GoUnit Weight of Soil given Factor of Safety for Cohesive Soil Formula

Unit Weight of Soil given Vertical Stress on Surface of Prism Example

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

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

Other Formulas to find Unit Weight of Soil

Other formulas in Stability Analysis of Infinite Slopes in Prism category

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

FAQs on Unit Weight of Soil given Vertical Stress on Surface of Prism

Variable Name

GoUnit Weight of Soil given Weight of Soil Prism Formula

GoUnit Weight of Soil given Factor of Safety for Cohesive Soil Formula