FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Normal Stress Component given Vertical Stress Formula

GoNormal Stress Component given Unit Weight of Soil Formula

Fx Copy

LaTeX Copy

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

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

Normal Stress Component given Vertical Stress Example

With values

With units

Only example

Here is how the Normal Stress Component given Vertical Stress equation looks like with Values.

Here is how the Normal Stress Component given Vertical Stress equation looks like with Units.

Here is how the Normal Stress Component given Vertical Stress equation looks like.

52.9899 = 53 \cdot \cos (\frac{64 \cdot 3.1416}{180})

52.9899kPa = 53kPa \cdot \cos (\frac{64° \cdot 3.1416}{180})

52.9899 = 53 \cdot \cos (\frac{64 \cdot 3.1416}{180})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Geotechnical Engineering » fx Normal Stress Component given Vertical Stress

Normal Stress Component given Vertical Stress Solution

Follow our step by step solution on how to calculate Normal Stress Component given Vertical Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ n = 53kPa \cdot \cos (\frac{64° \cdot π}{180})

Next Step Substitute values of Constants

∴

σ n = 53kPa \cdot \cos (\frac{64° \cdot 3.1416}{180})

Next Step Convert Units

∴

σ n = 53000Pa \cdot \cos (\frac{1.117rad \cdot 3.1416}{180})

Next Step Prepare to Evaluate

∴

σ n = 53000 \cdot \cos (\frac{1.117 \cdot 3.1416}{180})

Next Step Evaluate

∴

σ n = 52989.9283288579Pa

Next Step Convert to Output's Unit

∴

σ n = 52.9899283288579kPa

LAST Step Rounding Answer

∴

σ n = 52.9899kPa

Normal Stress Component given Vertical Stress 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

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

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 Unit Weight of Soil

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

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 Vertical Stress?

Normal Stress Component given Vertical Stress evaluator uses Normal Stress in kp = Vertical Stress at a Point in Kilopascal*cos((Angle of Inclination to Horizontal in Soil*pi)/180) to evaluate the Normal Stress in kp, The Normal Stress Component given Vertical Stress 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 Vertical Stress using this online evaluator? To use this online evaluator for Normal Stress Component given Vertical Stress, enter Vertical Stress at a Point in Kilopascal (σ_zkp) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Normal Stress Component given Vertical Stress

What is the formula to find Normal Stress Component given Vertical Stress?

The formula of Normal Stress Component given Vertical Stress is expressed as Normal Stress in kp = Vertical Stress at a Point in Kilopascal*cos((Angle of Inclination to Horizontal in Soil*pi)/180). Here is an example- 0.05299 = 53000*cos((1.11701072127616*pi)/180).

How to calculate Normal Stress Component given Vertical Stress?

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

Can the Normal Stress Component given Vertical Stress be negative?

No, the Normal Stress Component given Vertical Stress, measured in Pressure cannot be negative.

Which unit is used to measure Normal Stress Component given Vertical Stress?

Normal Stress Component given Vertical Stress 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 Vertical Stress can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Normal Stress Component given Vertical Stress Formula

​GoNormal Stress Component given Unit Weight of Soil Formula

Normal Stress Component given Vertical Stress Example

Normal Stress Component given Vertical Stress Solution

Normal Stress Component given Vertical Stress Formula Elements

Other Formulas to find Normal Stress in kp

Other formulas in Normal Stress Component category

How to Evaluate Normal Stress Component given Vertical Stress?

FAQs on Normal Stress Component given Vertical Stress

Variable Name

GoNormal Stress Component given Unit Weight of Soil Formula