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Angle of Inclination given Normal 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 \cos (\frac{σ n}{σ zkp})

i - Angle of Inclination to Horizontal in Soil?σ_n - Normal Stress in kp?σ_zkp - Vertical Stress at a Point in Kilopascal?

Angle of Inclination given Normal Stress Component Example

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

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

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

19.37 = a \cos (\frac{50}{53})

19.37° = a \cos (\frac{50kPa}{53kPa})

19.37 = a \cos (\frac{50}{53})

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Angle of Inclination given Normal Stress Component Solution

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

FIRST Step Consider the formula

i = a \cos (\frac{σ n}{σ zkp})

Next Step Substitute values of Variables

∴

i = a \cos (\frac{50kPa}{53kPa})

Next Step Convert Units

∴

i = a \cos (\frac{50000Pa}{53000Pa})

Next Step Prepare to Evaluate

∴

i = a \cos (\frac{50000}{53000})

Next Step Evaluate

∴

i = 0.338070943621908rad

Next Step Convert to Output's Unit

∴

i = 19.3700382455442°

LAST Step Rounding Answer

∴

i = 19.37°

Angle of Inclination given Normal 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

Normal Stress in kp

Normal Stress in kp is defined as the stress produced by the perpendicular action of a force on a given area in kilopascal.

Symbol: σ_n

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Normal Stress in kp

Vertical Stress at a Point in Kilopascal

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

Symbol: σ_zkp

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Vertical Stress at a Point in Kilopascal

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 in Normal Stress Component category

Go Normal Stress Component given Vertical Stress

σ n = σ zkp \cdot \cos (\frac{i \cdot π}{180})

Go Vertical Stress on Surface of Prism given Normal Stress Component

σ zkp = \frac{σ n}{\cos (\frac{i \cdot π}{180})}

Go Normal Stress Component given Unit Weight of Soil

σ n = γ \cdot z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2}

Go Unit Weight of Soil given Normal Stress Component

γ = \frac{σ n}{z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2}}

How to Evaluate Angle of Inclination given Normal Stress Component?

Angle of Inclination given Normal Stress Component evaluator uses Angle of Inclination to Horizontal in Soil = acos(Normal Stress in kp/Vertical Stress at a Point in Kilopascal) to evaluate the Angle of Inclination to Horizontal in Soil, The Angle of Inclination given Normal 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 Normal Stress Component using this online evaluator? To use this online evaluator for Angle of Inclination given Normal Stress Component, enter Normal Stress in kp (σ_n) & Vertical Stress at a Point in Kilopascal (σ_zkp) and hit the calculate button.

FAQs on Angle of Inclination given Normal Stress Component

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

The formula of Angle of Inclination given Normal Stress Component is expressed as Angle of Inclination to Horizontal in Soil = acos(Normal Stress in kp/Vertical Stress at a Point in Kilopascal). Here is an example- 1109.821 = acos(50000/53000).

How to calculate Angle of Inclination given Normal Stress Component?

With Normal Stress in kp (σ_n) & Vertical Stress at a Point in Kilopascal (σ_zkp) we can find Angle of Inclination given Normal Stress Component using the formula - Angle of Inclination to Horizontal in Soil = acos(Normal Stress in kp/Vertical Stress at a Point in Kilopascal). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

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

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

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

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

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Angle of Inclination given Normal Stress Component Formula

Angle of Inclination given Normal Stress Component Example

Angle of Inclination given Normal Stress Component Solution

Angle of Inclination given Normal Stress Component Formula Elements

Other formulas in Normal Stress Component category

How to Evaluate Angle of Inclination given Normal Stress Component?

FAQs on Angle of Inclination given Normal Stress Component

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