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Normal Stress Component given Submerged Unit Weight Formula

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

σ Normal = γ' \cdot z \cdot {(\cos ((i)))}^{2}

σ_Normal - Normal Stress?γ^' - Submerged Unit Weight?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?

Normal Stress Component given Submerged Unit Weight Example

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

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

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

2.8883 = 5.01 \cdot 3 \cdot {(\cos ((64)))}^{2}

2.8883Pa = 5.01N/m³ \cdot 3m \cdot {(\cos ((64°)))}^{2}

2.8883 = 5.01 \cdot 3 \cdot {(\cos ((64)))}^{2}

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Normal Stress Component given Submerged Unit Weight Solution

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

FIRST Step Consider the formula

σ Normal = γ' \cdot z \cdot {(\cos ((i)))}^{2}

Next Step Substitute values of Variables

∴

σ Normal = 5.01N/m³ \cdot 3m \cdot {(\cos ((64°)))}^{2}

Next Step Convert Units

∴

σ Normal = 5.01N/m³ \cdot 3m \cdot {(\cos ((1.117rad)))}^{2}

Next Step Prepare to Evaluate

∴

σ Normal = 5.01 \cdot 3 \cdot {(\cos ((1.117)))}^{2}

Next Step Evaluate

∴

σ Normal = 2.88830401293018Pa

LAST Step Rounding Answer

∴

σ Normal = 2.8883Pa

Normal Stress Component given Submerged Unit Weight Formula Elements

Variables

Functions

Normal Stress

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

Symbol: σ_Normal

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Normal Stress

Submerged Unit Weight

Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.

Symbol: γ^'

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Submerged Unit Weight

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

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 in Stability Analysis of Submerged Slopes category

Go Submerged Unit Weight given Normal Stress Component

γ' = \frac{σ Normal}{z \cdot {(\cos ((i)))}^{2}}

Go Depth of Prism given Submerged Unit Weight

z = \frac{σ Normal}{γ' \cdot {(\cos ((i)))}^{2}}

Go Shear Stress Component given Submerged Unit Weight

𝜏 = (γ' \cdot z \cdot \cos ((i)) \cdot \sin ((i)))

Go Submerged Unit Weight given Shear Stress Component

γ' = \frac{𝜏}{z \cdot \cos ((i)) \cdot \sin ((i))}

How to Evaluate Normal Stress Component given Submerged Unit Weight?

Normal Stress Component given Submerged Unit Weight evaluator uses Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2 to evaluate the Normal Stress, The Normal Stress Component given Submerged Unit Weight is defined as normal stress underwater equals submerged unit weight times depth, representing force applied per unit area due to submerged material. Normal Stress is denoted by σ_Normal symbol.

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

FAQs on Normal Stress Component given Submerged Unit Weight

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

The formula of Normal Stress Component given Submerged Unit Weight is expressed as Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2. Here is an example- 2.882539 = 5.01*3*(cos((1.11701072127616)))^2.

How to calculate Normal Stress Component given Submerged Unit Weight?

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

Can the Normal Stress Component given Submerged Unit Weight be negative?

Yes, the Normal Stress Component given Submerged Unit Weight, measured in Pressure can be negative.

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

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

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Normal Stress Component given Submerged Unit Weight Formula

Normal Stress Component given Submerged Unit Weight Example

Normal Stress Component given Submerged Unit Weight Solution

Normal Stress Component given Submerged Unit Weight Formula Elements

Other formulas in Stability Analysis of Submerged Slopes category

How to Evaluate Normal Stress Component given Submerged Unit Weight?

FAQs on Normal Stress Component given Submerged Unit Weight

Variable Name