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Normal Stress Component given Unit Weight of Soil Formula

GoNormal Stress Component given Vertical Stress Formula

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

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

σ_n - Normal Stress in kp?γ - Unit Weight of Soil?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Normal Stress Component given Unit Weight of Soil Example

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Here is how the Normal Stress Component given Unit Weight of Soil equation looks like with Values.

Here is how the Normal Stress Component given Unit Weight of Soil equation looks like with Units.

Here is how the Normal Stress Component given Unit Weight of Soil equation looks like.

53.9795 = 18 \cdot 3 \cdot {(\cos (\frac{64 \cdot 3.1416}{180}))}^{2}

53.9795kPa = 18kN/m³ \cdot 3m \cdot {(\cos (\frac{64° \cdot 3.1416}{180}))}^{2}

53.9795 = 18 \cdot 3 \cdot {(\cos (\frac{64 \cdot 3.1416}{180}))}^{2}

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Normal Stress Component given Unit Weight of Soil Solution

Follow our step by step solution on how to calculate Normal Stress Component given Unit Weight of Soil?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ n = 18kN/m³ \cdot 3m \cdot {(\cos (\frac{64° \cdot π}{180}))}^{2}

Next Step Substitute values of Constants

∴

σ n = 18kN/m³ \cdot 3m \cdot {(\cos (\frac{64° \cdot 3.1416}{180}))}^{2}

Next Step Convert Units

∴

σ n = 18000N/m³ \cdot 3m \cdot {(\cos (\frac{1.117rad \cdot 3.1416}{180}))}^{2}

Next Step Prepare to Evaluate

∴

σ n = 18000 \cdot 3 \cdot {(\cos (\frac{1.117 \cdot 3.1416}{180}))}^{2}

Next Step Evaluate

∴

σ n = 53979.4785447009Pa

Next Step Convert to Output's Unit

∴

σ n = 53.9794785447009kPa

LAST Step Rounding Answer

∴

σ n = 53.9795kPa

Normal Stress Component given Unit Weight of Soil Formula Elements

Variables

Constants

Functions

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

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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Normal Stress in kp

Go Normal Stress Component given Vertical Stress

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

Other formulas in Normal Stress Component category

Go Vertical Stress on Surface of Prism given Normal Stress Component

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

Go Angle of Inclination given Normal Stress Component

i = a \cos (\frac{σ n}{σ zkp})

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 Normal Stress Component given Unit Weight of Soil?

Normal Stress Component given Unit Weight of Soil evaluator uses Normal Stress in kp = Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2 to evaluate the Normal Stress in kp, The Normal Stress Component given Unit Weight of Soil is defined as the value of normal stress component when we have prior information of other parameters used. Normal Stress in kp is denoted by σ_n symbol.

How to evaluate Normal Stress Component given Unit Weight of Soil using this online evaluator? To use this online evaluator for Normal Stress Component given Unit Weight of Soil, enter Unit Weight of Soil (γ), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Normal Stress Component given Unit Weight of Soil

What is the formula to find Normal Stress Component given Unit Weight of Soil?

The formula of Normal Stress Component given Unit Weight of Soil is expressed as Normal Stress in kp = Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2. Here is an example- 0.053979 = 18000*3*(cos((1.11701072127616*pi)/180))^2.

How to calculate Normal Stress Component given Unit Weight of Soil?

With Unit Weight of Soil (γ), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Normal Stress Component given Unit Weight of Soil using the formula - Normal Stress in kp = Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2. This formula also uses Archimedes' constant and Cosine function(s).

What are the other ways to Calculate Normal Stress in kp?

Here are the different ways to Calculate Normal Stress in kp-

Normal Stress in kp=Vertical Stress at a Point in Kilopascal*cos((Angle of Inclination to Horizontal in Soil*pi)/180)

Can the Normal Stress Component given Unit Weight of Soil be negative?

No, the Normal Stress Component given Unit Weight of Soil, measured in Pressure cannot be negative.

Which unit is used to measure Normal Stress Component given Unit Weight of Soil?

Normal Stress Component given Unit Weight of Soil is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Normal Stress Component given Unit Weight of Soil can be measured.

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Normal Stress Component given Unit Weight of Soil Formula

​GoNormal Stress Component given Vertical Stress Formula

Normal Stress Component given Unit Weight of Soil Example

Normal Stress Component given Unit Weight of Soil Solution

Normal Stress Component given Unit Weight of Soil Formula Elements

Other Formulas to find Normal Stress in kp

Other formulas in Normal Stress Component category

How to Evaluate Normal Stress Component given Unit Weight of Soil?

FAQs on Normal Stress Component given Unit Weight of Soil

Variable Name

GoNormal Stress Component given Vertical Stress Formula