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Angle of Inclination given Shear Stress Component 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 \sin (\frac{τ u}{σ z})

i - Angle of Inclination to Horizontal in Soil?τ_u - Ultimate Shear Stress?σ_z - Vertical Stress at a Point?

Angle of Inclination given Shear Stress Component Example

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Here is how the Angle of Inclination given Shear Stress Component equation looks like with Values.

Here is how the Angle of Inclination given Shear Stress Component equation looks like with Units.

Here is how the Angle of Inclination given Shear Stress Component equation looks like.

53.1301 = a \sin (\frac{8}{10})

53.1301° = a \sin (\frac{8N/mm²}{10MPa})

53.1301 = a \sin (\frac{8}{10})

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Angle of Inclination given Shear Stress Component Solution

Follow our step by step solution on how to calculate Angle of Inclination given Shear Stress Component?

FIRST Step Consider the formula

i = a \sin (\frac{τ u}{σ z})

Next Step Substitute values of Variables

∴

i = a \sin (\frac{8N/mm²}{10MPa})

Next Step Convert Units

∴

i = a \sin (\frac{8E+6Pa}{1E+7Pa})

Next Step Prepare to Evaluate

∴

i = a \sin (\frac{8E+6}{1E+7})

Next Step Evaluate

∴

i = 0.927295218001612rad

Next Step Convert to Output's Unit

∴

i = 53.130102354166°

LAST Step Rounding Answer

∴

i = 53.1301°

Angle of Inclination given Shear Stress Component 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

Ultimate Shear Stress

Ultimate shear stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: τ_u

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Ultimate Shear Stress

Vertical Stress at a Point

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

Symbol: σ_z

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Vertical Stress at a Point

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Shear Stress Component category

Go Shear Stress Component given Vertical Stress

ζ = σ zkp \cdot \sin (\frac{i \cdot π}{180})

Go Shear Stress Component given Unit Weight of Soil

ζ = (γ \cdot z \cdot \cos (\frac{i \cdot π}{180}) \cdot \sin (\frac{i \cdot π}{180}))

Go Shear Strength of Soil given Factor of Safety

τ f = ζ \cdot f s

Go Settlement of Rectangular Spreader Mat

S mat = S plate \cdot {(B mat \cdot \frac{L mat}{{(D plate)}^{2}})}^{0.5}

How to Evaluate Angle of Inclination given Shear Stress Component?

Angle of Inclination given Shear Stress Component evaluator uses Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point) to evaluate the Angle of Inclination to Horizontal in Soil, The Angle of Inclination given Shear Stress Component is defined as 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 Shear Stress Component using this online evaluator? To use this online evaluator for Angle of Inclination given Shear Stress Component, enter Ultimate Shear Stress (τ_u) & Vertical Stress at a Point (σ_z) and hit the calculate button.

FAQs on Angle of Inclination given Shear Stress Component

What is the formula to find Angle of Inclination given Shear Stress Component?

The formula of Angle of Inclination given Shear Stress Component is expressed as Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point). Here is an example- 3044.131 = asin(8000000/10000000).

How to calculate Angle of Inclination given Shear Stress Component?

With Ultimate Shear Stress (τ_u) & Vertical Stress at a Point (σ_z) we can find Angle of Inclination given Shear Stress Component using the formula - Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Angle of Inclination given Shear Stress Component be negative?

No, the Angle of Inclination given Shear Stress Component, measured in Angle cannot be negative.

Which unit is used to measure Angle of Inclination given Shear Stress Component?

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

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Angle of Inclination given Shear Stress Component Formula

Angle of Inclination given Shear Stress Component Example

Angle of Inclination given Shear Stress Component Solution

Angle of Inclination given Shear Stress Component Formula Elements

Other formulas in Shear Stress Component category

How to Evaluate Angle of Inclination given Shear Stress Component?

FAQs on Angle of Inclination given Shear Stress Component

Variable Name