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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. Check FAQs
yS=Fstan(Φiπ180)γsaturatedtan(iπ180)
yS - Submerged Unit Weight in KN per Cubic Meter?Fs - Factor of Safety in Soil Mechanics?Φi - Angle of Internal Friction of Soil?γsaturated - Saturated Unit Weight of Soil?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Submerged Unit Weight given Factor of Safety Example

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Here is how the Submerged Unit Weight given Factor of Safety equation looks like with Values.

Here is how the Submerged Unit Weight given Factor of Safety equation looks like with Units.

Here is how the Submerged Unit Weight given Factor of Safety equation looks like.

25.709Edit=2.8Edittan(82.87Edit3.1416180)11.89Edittan(64Edit3.1416180)
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Submerged Unit Weight given Factor of Safety Solution

Follow our step by step solution on how to calculate Submerged Unit Weight given Factor of Safety?

FIRST Step Consider the formula
yS=Fstan(Φiπ180)γsaturatedtan(iπ180)
Next Step Substitute values of Variables
yS=2.8tan(82.87°π180)11.89kN/m³tan(64°π180)
Next Step Substitute values of Constants
yS=2.8tan(82.87°3.1416180)11.89kN/m³tan(64°3.1416180)
Next Step Convert Units
yS=2.8tan(1.4464rad3.1416180)11890N/m³tan(1.117rad3.1416180)
Next Step Prepare to Evaluate
yS=2.8tan(1.44643.1416180)11890tan(1.1173.1416180)
Next Step Evaluate
yS=25709.0058796305N/m³
Next Step Convert to Output's Unit
yS=25.7090058796305kN/m³
LAST Step Rounding Answer
yS=25.709kN/m³

Submerged Unit Weight given Factor of Safety Formula Elements

Variables
Constants
Functions
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.
Factor of Safety in Soil Mechanics
Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.
Symbol: Fs
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Angle of Internal Friction of Soil
Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.
Symbol: Φi
Measurement: AngleUnit: °
Note: Value should be between -180 to 180.
Saturated Unit Weight of Soil
Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.
Symbol: γsaturated
Measurement: Specific WeightUnit: kN/m³
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
tan
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Syntax: tan(Angle)

Other Formulas to find Submerged Unit Weight in KN per Cubic Meter

​Go Submerged Unit Weight given Effective Normal Stress
yS=σ'z(cos(iπ180))2
​Go Submerged Unit Weight given Upward Force
yS=σn-Fuz(cos(iπ180))2
​Go Submerged Unit Weight given Shear Strength
yS=τfζsoiltan((Φi))γsaturatedtan((i))
​Go Submerged Unit Weight for Steady Seepage along Slope
yS=(Fsγsaturatedzcos(iπ180)sin(iπ180))-Cztan(Φiπ180)(cos(iπ180))2

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 Submerged Unit Weight given Factor of Safety?

Submerged Unit Weight given Factor of Safety evaluator uses Submerged Unit Weight in KN per Cubic Meter = Factor of Safety in Soil Mechanics/((tan((Angle of Internal Friction of Soil*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180))) to evaluate the Submerged Unit Weight in KN per Cubic Meter, The Submerged Unit Weight given Factor of Safety is defined as the value of submerged unit weight when we have prior information of other parameters used. Submerged Unit Weight in KN per Cubic Meter is denoted by yS symbol.

How to evaluate Submerged Unit Weight given Factor of Safety using this online evaluator? To use this online evaluator for Submerged Unit Weight given Factor of Safety, enter Factor of Safety in Soil Mechanics (Fs), Angle of Internal Friction of Soil i), Saturated Unit Weight of Soil saturated) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Submerged Unit Weight given Factor of Safety

What is the formula to find Submerged Unit Weight given Factor of Safety?
The formula of Submerged Unit Weight given Factor of Safety is expressed as Submerged Unit Weight in KN per Cubic Meter = Factor of Safety in Soil Mechanics/((tan((Angle of Internal Friction of Soil*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180))). Here is an example- 0.025709 = 2.8/((tan((1.44635435112743*pi)/180))/(11890*tan((1.11701072127616*pi)/180))).
How to calculate Submerged Unit Weight given Factor of Safety?
With Factor of Safety in Soil Mechanics (Fs), Angle of Internal Friction of Soil i), Saturated Unit Weight of Soil saturated) & Angle of Inclination to Horizontal in Soil (i) we can find Submerged Unit Weight given Factor of Safety using the formula - Submerged Unit Weight in KN per Cubic Meter = Factor of Safety in Soil Mechanics/((tan((Angle of Internal Friction of Soil*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180))). This formula also uses Archimedes' constant and Tangent (tan) function(s).
What are the other ways to Calculate Submerged Unit Weight in KN per Cubic Meter?
Here are the different ways to Calculate Submerged Unit Weight in KN per Cubic Meter-
  • Submerged Unit Weight in KN per Cubic Meter=Effective Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)OpenImg
  • Submerged Unit Weight in KN per Cubic Meter=(Normal Stress in Soil Mechanics-Upward Force in Seepage Analysis)/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)OpenImg
  • Submerged Unit Weight in KN per Cubic Meter=(Shear Strength in KN per Cubic Meter/Shear Stress in Soil Mechanics)/((tan((Angle of Internal Friction of Soil)))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil))))OpenImg
Can the Submerged Unit Weight given Factor of Safety be negative?
No, the Submerged Unit Weight given Factor of Safety, measured in Specific Weight cannot be negative.
Which unit is used to measure Submerged Unit Weight given Factor of Safety?
Submerged Unit Weight given Factor of Safety is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Submerged Unit Weight given Factor of Safety can be measured.
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