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Angle of Inclination given Vertical Stress and Saturated Unit Weight Formula

GoAngle of Inclination given Saturated Unit Weight Formula

GoAngle of Inclination given Shear Strength and Submerged Unit Weight Formula

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

i = a \cos (\frac{σ z}{γ \cdot z})

i - Angle of Inclination to Horizontal in Soil?σ_z - Vertical Stress at Point?γ - Unit Weight of Soil?z - Depth of Prism?

Angle of Inclination given Vertical Stress and Saturated Unit Weight Example

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Here is how the Angle of Inclination given Vertical Stress and Saturated Unit Weight equation looks like with Values.

Here is how the Angle of Inclination given Vertical Stress and Saturated Unit Weight equation looks like with Units.

Here is how the Angle of Inclination given Vertical Stress and Saturated Unit Weight equation looks like.

89.9987 = a \cos (\frac{1.2}{18 \cdot 3})

89.9987° = a \cos (\frac{1.2Pa}{18kN/m³ \cdot 3m})

89.9987 = a \cos (\frac{1.2}{18 \cdot 3})

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Angle of Inclination given Vertical Stress and Saturated Unit Weight Solution

Follow our step by step solution on how to calculate Angle of Inclination given Vertical Stress and Saturated Unit Weight?

FIRST Step Consider the formula

i = a \cos (\frac{σ z}{γ \cdot z})

Next Step Substitute values of Variables

∴

i = a \cos (\frac{1.2Pa}{18kN/m³ \cdot 3m})

Next Step Convert Units

∴

i = a \cos (\frac{1.2Pa}{18000N/m³ \cdot 3m})

Next Step Prepare to Evaluate

∴

i = a \cos (\frac{1.2}{18000 \cdot 3})

Next Step Evaluate

∴

i = 1.57077410457267rad

Next Step Convert to Output's Unit

∴

i = 89.9987267604721°

LAST Step Rounding Answer

∴

i = 89.9987°

Angle of Inclination given Vertical Stress and Saturated Unit Weight Formula Elements

Variables

Functions

Angle of Inclination to Horizontal in Soil

Angle of Inclination to Horizontal in Soil 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 to Horizontal in Soil

Vertical Stress at Point

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

Symbol: σ_z

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Vertical Stress at Point

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

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

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 to Horizontal in Soil

Go Angle of Inclination given Saturated Unit Weight

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

Go Angle of Inclination given Shear Strength and Submerged Unit Weight

i = a \tan (\frac{γ' \cdot \tan ((φ))}{γ sat \cdot (\frac{T f}{ζ soil})})

Other formulas in Factor of Steady Seepage Along the Slope category

Go Saturated Unit Weight given Weight of Soil Prism

γ saturated = \frac{W prism}{z \cdot b \cdot \cos (\frac{i \cdot π}{180})}

Go Depth of Prism given Saturated Unit Weight

z = \frac{W prism}{γ sat \cdot b \cdot \cos (\frac{i \cdot π}{180})}

Go Saturated Unit Weight given Vertical Stress on Prism

γ saturated = \frac{σ zkp}{z \cdot \cos (\frac{i \cdot π}{180})}

Go Depth of Prism given Vertical Stress and Saturated Unit Weight

z = \frac{σ zkp}{γ saturated \cdot \cos (\frac{i \cdot π}{180})}

How to Evaluate Angle of Inclination given Vertical Stress and Saturated Unit Weight?

Angle of Inclination given Vertical Stress and Saturated Unit Weight evaluator uses Angle of Inclination to Horizontal in Soil = acos(Vertical Stress at Point/(Unit Weight of Soil*Depth of Prism)) to evaluate the Angle of Inclination to Horizontal in Soil, The Angle of Inclination given Vertical Stress and Saturated Unit Weight calculates the value of angle of inclination when we have prior information of other parameters used. Angle of Inclination to Horizontal in Soil is denoted by i symbol.

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

FAQs on Angle of Inclination given Vertical Stress and Saturated Unit Weight

What is the formula to find Angle of Inclination given Vertical Stress and Saturated Unit Weight?

The formula of Angle of Inclination given Vertical Stress and Saturated Unit Weight is expressed as Angle of Inclination to Horizontal in Soil = acos(Vertical Stress at Point/(Unit Weight of Soil*Depth of Prism)). Here is an example- 5156.547 = acos(1.2/(18000*3)).

How to calculate Angle of Inclination given Vertical Stress and Saturated Unit Weight?

With Vertical Stress at Point (σ_z), Unit Weight of Soil (γ) & Depth of Prism (z) we can find Angle of Inclination given Vertical Stress and Saturated Unit Weight using the formula - Angle of Inclination to Horizontal in Soil = acos(Vertical Stress at Point/(Unit Weight of Soil*Depth of Prism)). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

What are the other ways to Calculate Angle of Inclination to Horizontal in Soil?

Here are the different ways to Calculate Angle of Inclination to Horizontal in Soil-

Angle of Inclination to Horizontal in Soil=acos(Weight of Prism in Soil Mechanics/(Unit Weight of Soil*Depth of Prism*Inclined Length of Prism))
Angle of Inclination to Horizontal in Soil=atan((Submerged Unit Weight*tan((Angle of Internal Friction)))/(Saturated Unit Weight in Newton per Cubic Meter*(Shear Strength of Soil/Shear Stress in Soil Mechanics)))

Can the Angle of Inclination given Vertical Stress and Saturated Unit Weight be negative?

No, the Angle of Inclination given Vertical Stress and Saturated Unit Weight, measured in Angle cannot be negative.

Which unit is used to measure Angle of Inclination given Vertical Stress and Saturated Unit Weight?

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

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Angle of Inclination given Vertical Stress and Saturated Unit Weight Formula

​GoAngle of Inclination given Saturated Unit Weight Formula

​GoAngle of Inclination given Shear Strength and Submerged Unit Weight Formula

Angle of Inclination given Vertical Stress and Saturated Unit Weight Example

Angle of Inclination given Vertical Stress and Saturated Unit Weight Solution

Angle of Inclination given Vertical Stress and Saturated Unit Weight Formula Elements

Other Formulas to find Angle of Inclination to Horizontal in Soil

Other formulas in Factor of Steady Seepage Along the Slope category

How to Evaluate Angle of Inclination given Vertical Stress and Saturated Unit Weight?

FAQs on Angle of Inclination given Vertical Stress and Saturated Unit Weight

Variable Name

GoAngle of Inclination given Saturated Unit Weight Formula

GoAngle of Inclination given Shear Strength and Submerged Unit Weight Formula