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Upward Force due to Seepage Water Formula

GoUpward Force due to Seepage Water given Effective Normal Stress Formula

GoUpward Force due to Seepage Water given Submerged Unit Weight Formula

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Upward Force in Seepage Analysis is due to seepage water. Check FAQs

F u = (γ water \cdot z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2})

F_u - Upward Force in Seepage Analysis?γ_water - Unit Weight of Water?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Upward Force due to Seepage Water Example

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Here is how the Upward Force due to Seepage Water equation looks like with Values.

Here is how the Upward Force due to Seepage Water equation looks like with Units.

Here is how the Upward Force due to Seepage Water equation looks like.

29.4188 = (9.81 \cdot 3 \cdot {(\cos (\frac{64 \cdot 3.1416}{180}))}^{2})

29.4188kN/m² = (9.81kN/m³ \cdot 3m \cdot {(\cos (\frac{64° \cdot 3.1416}{180}))}^{2})

29.4188 = (9.81 \cdot 3 \cdot {(\cos (\frac{64 \cdot 3.1416}{180}))}^{2})

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Upward Force due to Seepage Water Solution

Follow our step by step solution on how to calculate Upward Force due to Seepage Water?

FIRST Step Consider the formula

F u = (γ water \cdot z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2})

Next Step Substitute values of Variables

∴

F u = (9.81kN/m³ \cdot 3m \cdot {(\cos (\frac{64° \cdot π}{180}))}^{2})

Next Step Substitute values of Constants

∴

F u = (9.81kN/m³ \cdot 3m \cdot {(\cos (\frac{64° \cdot 3.1416}{180}))}^{2})

Next Step Convert Units

∴

F u = (9810N/m³ \cdot 3m \cdot {(\cos (\frac{1.117rad \cdot 3.1416}{180}))}^{2})

Next Step Prepare to Evaluate

∴

F u = (9810 \cdot 3 \cdot {(\cos (\frac{1.117 \cdot 3.1416}{180}))}^{2})

Next Step Evaluate

∴

F u = 29418.815806862Pa

Next Step Convert to Output's Unit

∴

F u = 29.418815806862kN/m²

LAST Step Rounding Answer

∴

F u = 29.4188kN/m²

Upward Force due to Seepage Water Formula Elements

Variables

Constants

Functions

Upward Force in Seepage Analysis

Upward Force in Seepage Analysis is due to seepage water.

Symbol: F_u

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Upward Force in Seepage Analysis

Unit Weight of Water

Unit Weight of Water is mass per unit of water.

Symbol: γ_water

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Water

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 Upward Force in Seepage Analysis

Go Upward Force due to Seepage Water given Effective Normal Stress

F u = σ n - σ'

Go Upward Force due to Seepage Water given Submerged Unit Weight

F u = σ n - (y S \cdot z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2})

Other formulas in Steady State Seepage Analysis Along The Slopes category

Go Weight of Soil Prism given Saturated Unit Weight

W prism = (γ saturated \cdot z \cdot b \cdot \cos (\frac{i \cdot π}{180}))

Go Inclined Length of Prism given Saturated Unit Weight

b = \frac{W prism}{γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180})}

Go Vertical Stress on Prism given Saturated Unit Weight

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

Go Normal Stress Component given Saturated Unit Weight

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

How to Evaluate Upward Force due to Seepage Water?

Upward Force due to Seepage Water evaluator uses Upward Force in Seepage Analysis = (Unit Weight of Water*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2) to evaluate the Upward Force in Seepage Analysis, The Upward Force due to Seepage Water is defined as the value of upward force when we have prior information of other parameters used. Upward Force in Seepage Analysis is denoted by F_u symbol.

How to evaluate Upward Force due to Seepage Water using this online evaluator? To use this online evaluator for Upward Force due to Seepage Water, enter Unit Weight of Water (γ_water), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Upward Force due to Seepage Water

What is the formula to find Upward Force due to Seepage Water?

The formula of Upward Force due to Seepage Water is expressed as Upward Force in Seepage Analysis = (Unit Weight of Water*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). Here is an example- 0.029419 = (9810*3*(cos((1.11701072127616*pi)/180))^2).

How to calculate Upward Force due to Seepage Water?

With Unit Weight of Water (γ_water), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Upward Force due to Seepage Water using the formula - Upward Force in Seepage Analysis = (Unit Weight of Water*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 Upward Force in Seepage Analysis?

Here are the different ways to Calculate Upward Force in Seepage Analysis-

Upward Force in Seepage Analysis=Normal Stress in Soil Mechanics-Effective Normal Stress in Soil Mechanics
Upward Force in Seepage Analysis=Normal Stress in Soil Mechanics-(Submerged Unit Weight in KN per Cubic Meter*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Can the Upward Force due to Seepage Water be negative?

No, the Upward Force due to Seepage Water, measured in Pressure cannot be negative.

Which unit is used to measure Upward Force due to Seepage Water?

Upward Force due to Seepage Water is usually measured using the Kilonewton per Square Meter[kN/m²] for Pressure. Pascal[kN/m²], Kilopascal[kN/m²], Bar[kN/m²] are the few other units in which Upward Force due to Seepage Water can be measured.

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Upward Force due to Seepage Water Formula

​GoUpward Force due to Seepage Water given Effective Normal Stress Formula

​GoUpward Force due to Seepage Water given Submerged Unit Weight Formula

Upward Force due to Seepage Water Example

Upward Force due to Seepage Water Solution

Upward Force due to Seepage Water Formula Elements

Other Formulas to find Upward Force in Seepage Analysis

Other formulas in Steady State Seepage Analysis Along The Slopes category

How to Evaluate Upward Force due to Seepage Water?

FAQs on Upward Force due to Seepage Water

Variable Name

GoUpward Force due to Seepage Water given Effective Normal Stress Formula

GoUpward Force due to Seepage Water given Submerged Unit Weight Formula