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Upward Force in Seepage Analysis is due to seepage water. Check FAQs
Fu=σn-(ySz(cos(iπ180))2)
Fu - Upward Force in Seepage Analysis?σn - Normal Stress in Soil Mechanics?yS - Submerged Unit Weight in KN per Cubic Meter?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Upward Force due to Seepage Water given Submerged Unit Weight Example

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With units
Only example

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

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

Here is how the Upward Force due to Seepage Water given Submerged Unit Weight equation looks like.

62.3657Edit=77.36Edit-(5Edit3Edit(cos(64Edit3.1416180))2)
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Upward Force due to Seepage Water given Submerged Unit Weight Solution

Follow our step by step solution on how to calculate Upward Force due to Seepage Water given Submerged Unit Weight?

FIRST Step Consider the formula
Fu=σn-(ySz(cos(iπ180))2)
Next Step Substitute values of Variables
Fu=77.36kN/m²-(5kN/m³3m(cos(64°π180))2)
Next Step Substitute values of Constants
Fu=77.36kN/m²-(5kN/m³3m(cos(64°3.1416180))2)
Next Step Convert Units
Fu=77360Pa-(5000N/m³3m(cos(1.117rad3.1416180))2)
Next Step Prepare to Evaluate
Fu=77360-(50003(cos(1.1173.1416180))2)
Next Step Evaluate
Fu=62365.7004042498Pa
Next Step Convert to Output's Unit
Fu=62.3657004042498kN/m²
LAST Step Rounding Answer
Fu=62.3657kN/m²

Upward Force due to Seepage Water given Submerged Unit Weight Formula Elements

Variables
Constants
Functions
Upward Force in Seepage Analysis
Upward Force in Seepage Analysis is due to seepage water.
Symbol: Fu
Measurement: PressureUnit: kN/m²
Note: Value should be greater than 0.
Normal Stress in Soil Mechanics
Normal Stress in Soil Mechanics is stress that occurs when a member is loaded by an axial force.
Symbol: σn
Measurement: StressUnit: kN/m²
Note: Value can be positive or negative.
Submerged Unit Weight in KN per Cubic Meter
Submerged Unit Weight in KN per Cubic Meter is the unit weight of a weight of soil as observed under water in a saturated condition of course.
Symbol: yS
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
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.
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.
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
Fu=(γwaterz(cos(iπ180))2)
​Go Upward Force due to Seepage Water given Effective Normal Stress
Fu=σn-σ'

Other formulas in Steady State Seepage Analysis Along The Slopes category

​Go Weight of Soil Prism given Saturated Unit Weight
Wprism=(γsaturatedzbcos(iπ180))
​Go Inclined Length of Prism given Saturated Unit Weight
b=Wprismγsaturatedzcos(iπ180)
​Go Vertical Stress on Prism given Saturated Unit Weight
σzkp=(γsaturatedzcos(iπ180))
​Go Normal Stress Component given Saturated Unit Weight
σn=(γsaturatedz(cos(iπ180))2)

How to Evaluate Upward Force due to Seepage Water given Submerged Unit Weight?

Upward Force due to Seepage Water given Submerged Unit Weight evaluator uses 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) to evaluate the Upward Force in Seepage Analysis, The Upward Force due to Seepage Water given Submerged Unit Weight 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 Fu symbol.

How to evaluate Upward Force due to Seepage Water given Submerged Unit Weight using this online evaluator? To use this online evaluator for Upward Force due to Seepage Water given Submerged Unit Weight, enter Normal Stress in Soil Mechanics n), Submerged Unit Weight in KN per Cubic Meter (yS), 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 given Submerged Unit Weight

What is the formula to find Upward Force due to Seepage Water given Submerged Unit Weight?
The formula of Upward Force due to Seepage Water given Submerged Unit Weight is expressed as 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). Here is an example- 0.022366 = 77360-(5000*3*(cos((1.11701072127616*pi)/180))^2).
How to calculate Upward Force due to Seepage Water given Submerged Unit Weight?
With Normal Stress in Soil Mechanics n), Submerged Unit Weight in KN per Cubic Meter (yS), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Upward Force due to Seepage Water given Submerged Unit Weight using the formula - 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). This formula also uses Archimedes' constant and Cosine (cos) 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=(Unit Weight of Water*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)OpenImg
  • Upward Force in Seepage Analysis=Normal Stress in Soil Mechanics-Effective Normal Stress in Soil MechanicsOpenImg
Can the Upward Force due to Seepage Water given Submerged Unit Weight be negative?
No, the Upward Force due to Seepage Water given Submerged Unit Weight, measured in Pressure cannot be negative.
Which unit is used to measure Upward Force due to Seepage Water given Submerged Unit Weight?
Upward Force due to Seepage Water given Submerged Unit Weight 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 given Submerged Unit Weight can be measured.
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