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Angle of Internal Friction for Soil Formula

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

φ = \arctan (\frac{F s}{Fn})

φ - Angle of Internal Friction?F_s - Shear Force on Soil?Fn - Normal Force on Soil?

Angle of Internal Friction for Soil Example

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Here is how the Angle of Internal Friction for Soil equation looks like with Values.

Here is how the Angle of Internal Friction for Soil equation looks like with Units.

Here is how the Angle of Internal Friction for Soil equation looks like.

40.2453 = \arctan (\frac{48.5}{57.3})

40.2453° = \arctan (\frac{48.5N}{57.3N})

40.2453 = \arctan (\frac{48.5}{57.3})

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Angle of Internal Friction for Soil Solution

Follow our step by step solution on how to calculate Angle of Internal Friction for Soil?

FIRST Step Consider the formula

φ = \arctan (\frac{F s}{Fn})

Next Step Substitute values of Variables

∴

φ = \arctan (\frac{48.5N}{57.3N})

Next Step Prepare to Evaluate

∴

φ = \arctan (\frac{48.5}{57.3})

Next Step Evaluate

∴

φ = 0.702413377064677rad

Next Step Convert to Output's Unit

∴

φ = 40.2453219793449°

LAST Step Rounding Answer

∴

φ = 40.2453°

Angle of Internal Friction for Soil Formula Elements

Variables

Functions

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

Shear Force on Soil

Shear Force on Soil is the force which causes shear deformation to occur in the shear plane in soil mechanics.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear Force on Soil

Normal Force on Soil

Normal Force on Soil is the force which is normal to the shear force in the soil mechanics.

Symbol: Fn

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Normal Force on Soil

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)

ctan

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: ctan(Angle)

arctan

Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x).

Syntax: arctan(Number)

Other formulas in Atterberg Limits category

Go Plasticity Index of Soil

I p = W l - W p

Go Plastic Limit of Soil given Plasticity Index

W p = W l - I p

Go Liquid Limit of Soil given Plasticity Index

W l = I p + W p

Go Liquidity Index of Soil

I l = \frac{w - W p}{I p}

How to Evaluate Angle of Internal Friction for Soil?

Angle of Internal Friction for Soil evaluator uses Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil) to evaluate the Angle of Internal Friction, The Angle of Internal Friction for Soil is defined as the angle measured between the normal force and resultant force. Angle of Internal Friction is denoted by φ symbol.

How to evaluate Angle of Internal Friction for Soil using this online evaluator? To use this online evaluator for Angle of Internal Friction for Soil, enter Shear Force on Soil (F_s) & Normal Force on Soil (Fn) and hit the calculate button.

FAQs on Angle of Internal Friction for Soil

What is the formula to find Angle of Internal Friction for Soil?

The formula of Angle of Internal Friction for Soil is expressed as Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil). Here is an example- 2305.887 = arctan(48.5/57.3).

How to calculate Angle of Internal Friction for Soil?

With Shear Force on Soil (F_s) & Normal Force on Soil (Fn) we can find Angle of Internal Friction for Soil using the formula - Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil). This formula also uses Tangent (tan)Cotangent (ctan), Inverse Tangent (arctan) function(s).

Can the Angle of Internal Friction for Soil be negative?

No, the Angle of Internal Friction for Soil, measured in Angle cannot be negative.

Which unit is used to measure Angle of Internal Friction for Soil?

Angle of Internal Friction for Soil is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Internal Friction for Soil can be measured.

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