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Angle of Inclination given Shear Strength and Submerged Unit Weight Formula

GoAngle of Inclination given Saturated Unit Weight Formula

GoAngle of Inclination given Vertical Stress and Saturated 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 \tan (\frac{γ' \cdot \tan ((φ))}{γ sat \cdot (\frac{T f}{ζ soil})})

i - Angle of Inclination to Horizontal in Soil?γ^' - Submerged Unit Weight?φ - Angle of Internal Friction?γ_sat - Saturated Unit Weight in Newton per Cubic Meter?T_f - Shear Strength of Soil?ζ_soil - Shear Stress in Soil Mechanics?

Angle of Inclination given Shear Strength and Submerged Unit Weight Example

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Here is how the Angle of Inclination given Shear Strength and Submerged Unit Weight equation looks like with Values.

Here is how the Angle of Inclination given Shear Strength and Submerged Unit Weight equation looks like with Units.

Here is how the Angle of Inclination given Shear Strength and Submerged Unit Weight equation looks like.

80.0709 = a \tan (\frac{5.01 \cdot \tan ((46))}{32.24 \cdot (\frac{20}{0.71})})

80.0709° = a \tan (\frac{5.01N/m³ \cdot \tan ((46°))}{32.24N/m³ \cdot (\frac{20Pa}{0.71kN/m²})})

80.0709 = a \tan (\frac{5.01 \cdot \tan ((46))}{32.24 \cdot (\frac{20}{0.71})})

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Angle of Inclination given Shear Strength and Submerged Unit Weight Solution

Follow our step by step solution on how to calculate Angle of Inclination given Shear Strength and Submerged Unit Weight?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

i = a \tan (\frac{5.01N/m³ \cdot \tan ((46°))}{32.24N/m³ \cdot (\frac{20Pa}{0.71kN/m²})})

Next Step Convert Units

∴

i = a \tan (\frac{5.01N/m³ \cdot \tan ((0.8029rad))}{32.24N/m³ \cdot (\frac{20Pa}{710Pa})})

Next Step Prepare to Evaluate

∴

i = a \tan (\frac{5.01 \cdot \tan ((0.8029))}{32.24 \cdot (\frac{20}{710})})

Next Step Evaluate

∴

i = 1.39750057344301rad

Next Step Convert to Output's Unit

∴

i = 80.0708847254121°

LAST Step Rounding Answer

∴

i = 80.0709°

Angle of Inclination given Shear Strength and Submerged 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

Submerged Unit Weight

Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.

Symbol: γ^'

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Submerged Unit Weight

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force .

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

Saturated Unit Weight in Newton per Cubic Meter

Saturated Unit Weight in Newton per Cubic Meter is the value of the unit weight of the saturated soil in Newton per Cubic Meter.

Symbol: γ_sat

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Saturated Unit Weight in Newton per Cubic Meter

Shear Strength of Soil

Shear strength of soil is the strength of a material against the structural failure when the material fails in shear.

Symbol: T_f

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Strength of Soil

Shear Stress in Soil Mechanics

Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: ζ_soil

Measurement: StressUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Soil Mechanics

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(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 Vertical Stress and Saturated Unit Weight

i = a \cos (\frac{σ z}{γ \cdot z})

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 Shear Strength and Submerged Unit Weight?

Angle of Inclination given Shear Strength and Submerged Unit Weight evaluator uses 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))) to evaluate the Angle of Inclination to Horizontal in Soil, The Angle of Inclination given Shear Strength and Submerged Unit Weight is defined as the value of angle of inclination with horizontal 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 Shear Strength and Submerged Unit Weight using this online evaluator? To use this online evaluator for Angle of Inclination given Shear Strength and Submerged Unit Weight, enter Submerged Unit Weight (γ^'), Angle of Internal Friction (φ), Saturated Unit Weight in Newton per Cubic Meter (γ_sat), Shear Strength of Soil (T_f) & Shear Stress in Soil Mechanics (ζ_soil) and hit the calculate button.

FAQs on Angle of Inclination given Shear Strength and Submerged Unit Weight

What is the formula to find Angle of Inclination given Shear Strength and Submerged Unit Weight?

The formula of Angle of Inclination given Shear Strength and Submerged Unit Weight is expressed as 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))). Here is an example- 4586.609 = atan((5.01*tan((0.802851455917241)))/(32.24*(20/710))).

How to calculate Angle of Inclination given Shear Strength and Submerged Unit Weight?

With Submerged Unit Weight (γ^'), Angle of Internal Friction (φ), Saturated Unit Weight in Newton per Cubic Meter (γ_sat), Shear Strength of Soil (T_f) & Shear Stress in Soil Mechanics (ζ_soil) we can find Angle of Inclination given Shear Strength and Submerged Unit Weight using the formula - 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))). This formula also uses Tangent (tan), Inverse Tan (atan) 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=acos(Vertical Stress at Point/(Unit Weight of Soil*Depth of Prism))

Can the Angle of Inclination given Shear Strength and Submerged Unit Weight be negative?

No, the Angle of Inclination given Shear Strength and Submerged Unit Weight, measured in Angle cannot be negative.

Which unit is used to measure Angle of Inclination given Shear Strength and Submerged Unit Weight?

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

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Angle of Inclination given Shear Strength and Submerged Unit Weight Formula

​GoAngle of Inclination given Saturated Unit Weight Formula

​GoAngle of Inclination given Vertical Stress and Saturated Unit Weight Formula

Angle of Inclination given Shear Strength and Submerged Unit Weight Example

Angle of Inclination given Shear Strength and Submerged Unit Weight Solution

Angle of Inclination given Shear Strength and Submerged 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 Shear Strength and Submerged Unit Weight?

FAQs on Angle of Inclination given Shear Strength and Submerged Unit Weight

Variable Name

GoAngle of Inclination given Saturated Unit Weight Formula

GoAngle of Inclination given Vertical Stress and Saturated Unit Weight Formula