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Angle of Inclination given Vertical Stress on Surface of Prism Formula

GoAngle of Inclination given Weight of Soil Prism Formula

GoAngle of Inclination given Horizontal Length of Prism Formula

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

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

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

Angle of Inclination given Vertical Stress on Surface of Prism Example

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Here is how the Angle of Inclination given Vertical Stress on Surface of Prism equation looks like with Values.

Here is how the Angle of Inclination given Vertical Stress on Surface of Prism equation looks like with Units.

Here is how the Angle of Inclination given Vertical Stress on Surface of Prism equation looks like.

89.9894 = a \cos (\frac{10}{3 \cdot 18})

89.9894° = a \cos (\frac{10Pa}{3m \cdot 18kN/m³})

89.9894 = a \cos (\frac{10}{3 \cdot 18})

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Angle of Inclination given Vertical Stress on Surface of Prism Solution

Follow our step by step solution on how to calculate Angle of Inclination given Vertical Stress on Surface of Prism?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = a \cos (\frac{10Pa}{3m \cdot 18kN/m³})

Next Step Convert Units

∴

I = a \cos (\frac{10Pa}{3m \cdot 18000N/m³})

Next Step Prepare to Evaluate

∴

I = a \cos (\frac{10}{3 \cdot 18000})

Next Step Evaluate

∴

I = 1.57061114160865rad

Next Step Convert to Output's Unit

∴

I = 89.9893896704168°

LAST Step Rounding Answer

∴

I = 89.9894°

Angle of Inclination given Vertical Stress on Surface of Prism Formula Elements

Variables

Functions

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

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

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

cos

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

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other Formulas to find Angle of Inclination

Go Angle of Inclination given Weight of Soil Prism

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

Go Angle of Inclination given Horizontal Length of Prism

I = a \cos (\frac{L}{b})

Go Angle of Inclination given Volume per Unit Length of Prism

I = a \cos (\frac{V l}{z \cdot b})

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 Unit Weight of Soil given Weight of Soil Prism

γ = \frac{W}{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))}

How to Evaluate Angle of Inclination given Vertical Stress on Surface of Prism?

Angle of Inclination given Vertical Stress on Surface of Prism evaluator uses Angle of Inclination = acos(Vertical Stress at a Point in Pascal/(Depth of Prism*Unit Weight of Soil)) to evaluate the Angle of Inclination, The Angle of Inclination given Vertical Stress on Surface of Prism is defined as the slope at which a prism's surface yields under vertical stress, determining its stability. Angle of Inclination is denoted by I symbol.

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

FAQs on Angle of Inclination given Vertical Stress on Surface of Prism

What is the formula to find Angle of Inclination given Vertical Stress on Surface of Prism?

The formula of Angle of Inclination given Vertical Stress on Surface of Prism is expressed as Angle of Inclination = acos(Vertical Stress at a Point in Pascal/(Depth of Prism*Unit Weight of Soil)). Here is an example- 5156.547 = acos(10/(3*18000)).

How to calculate Angle of Inclination given Vertical Stress on Surface of Prism?

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

What are the other ways to Calculate Angle of Inclination?

Here are the different ways to Calculate Angle of Inclination-

Angle of Inclination=acos(Weight of Prism/(Unit Weight of Soil*Depth of Prism*Inclined Length))
Angle of Inclination=acos(Horizontal Length of Prism/Inclined Length)
Angle of Inclination=acos(Volume per unit length of prism/(Depth of Prism*Inclined Length))

Can the Angle of Inclination given Vertical Stress on Surface of Prism be negative?

No, the Angle of Inclination given Vertical Stress on Surface of Prism, measured in Angle cannot be negative.

Which unit is used to measure Angle of Inclination given Vertical Stress on Surface of Prism?

Angle of Inclination given Vertical Stress on Surface of Prism is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Inclination given Vertical Stress on Surface of Prism can be measured.

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Angle of Inclination given Vertical Stress on Surface of Prism Formula

​GoAngle of Inclination given Weight of Soil Prism Formula

​GoAngle of Inclination given Horizontal Length of Prism Formula

Angle of Inclination given Vertical Stress on Surface of Prism Example

Angle of Inclination given Vertical Stress on Surface of Prism Solution

Angle of Inclination given Vertical Stress on Surface of Prism Formula Elements

Other Formulas to find Angle of Inclination

Other formulas in Stability Analysis of Infinite Slopes in Prism category

How to Evaluate Angle of Inclination given Vertical Stress on Surface of Prism?

FAQs on Angle of Inclination given Vertical Stress on Surface of Prism

Variable Name

GoAngle of Inclination given Weight of Soil Prism Formula

GoAngle of Inclination given Horizontal Length of Prism Formula