Shear Strength given Submerged Unit Weight Calculator

✖Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Soil Mechanics [ζ_soil]			+10% -10%
✖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.ⓘ Submerged Unit Weight in KN per Cubic Meter [y_S]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight of Soil [γ_saturated]			+10% -10%
✖Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination to Horizontal in Soil [i]			+10% -10%

✖Shear Strength in KN per Cubic Meter is the strength of a material against structural failure when the material fails in shear.ⓘ Shear Strength given Submerged Unit Weight [τ_f]

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Shear Strength given Submerged Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strength in KN per Cubic Meter = (Shear Stress in Soil Mechanics*Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180))
τ_f = (ζ_soil*y_S*tan((φ*pi)/180))/(γ_saturated*tan((i*pi)/180))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., tan(Angle)

Variables Used

Shear Strength in KN per Cubic Meter - (Measured in Pascal) - Shear Strength in KN per Cubic Meter is the strength of a material against structural failure when the material fails in shear.
Shear Stress in Soil Mechanics - (Measured in Pascal) - Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Submerged Unit Weight in KN per Cubic Meter - (Measured in Newton 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.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
Saturated Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.
Angle of Inclination to Horizontal in Soil - (Measured in Radian) - Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Soil Mechanics: 0.71 Kilonewton per Square Meter --> 710 Pascal (Check conversion here)
Submerged Unit Weight in KN per Cubic Meter: 5 Kilonewton per Cubic Meter --> 5000 Newton per Cubic Meter (Check conversion here)
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)
Saturated Unit Weight of Soil: 11.89 Kilonewton per Cubic Meter --> 11890 Newton per Cubic Meter (Check conversion here)
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_f = (ζ_soil*y_S*tan((φ*pi)/180))/(γ_saturated*tan((i*pi)/180)) --> (710*5000*tan((0.802851455917241*pi)/180))/(11890*tan((1.11701072127616*pi)/180))

Evaluating ... ...

τ_f = 214.584206856326

STEP 3: Convert Result to Output's Unit

214.584206856326 Pascal -->0.214584206856326 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

0.214584206856326 ≈ 0.214584 Kilonewton per Square Meter <-- Shear Strength in KN per Cubic Meter

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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Inclined Length of Prism given Saturated Unit Weight

LaTeX Go Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Weight of Soil Prism given Saturated Unit Weight

LaTeX Go Weight of Prism in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Vertical Stress on Prism given Saturated Unit Weight

LaTeX Go Vertical Stress at a Point in Kilopascal = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Normal Stress Component given Saturated Unit Weight

LaTeX Go Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Shear Strength given Submerged Unit Weight Formula

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What is Shear Strength?

Shear strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.

How to Calculate Shear Strength given Submerged Unit Weight?

Shear Strength given Submerged Unit Weight calculator uses Shear Strength in KN per Cubic Meter = (Shear Stress in Soil Mechanics*Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)) to calculate the Shear Strength in KN per Cubic Meter, The Shear Strength given Submerged Unit Weight is defined as the value of shear strength of soil when we have prior information of other parameters used. Shear Strength in KN per Cubic Meter is denoted by τ_f symbol.

How to calculate Shear Strength given Submerged Unit Weight using this online calculator? To use this online calculator for Shear Strength given Submerged Unit Weight, enter Shear Stress in Soil Mechanics (ζ_soil), Submerged Unit Weight in KN per Cubic Meter (y_S), Angle of Internal Friction (φ), Saturated Unit Weight of Soil (γ_saturated) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Shear Strength given Submerged Unit Weight calculation can be explained with given input values -> 0.000215 = (710*5000*tan((0.802851455917241*pi)/180))/(11890*tan((1.11701072127616*pi)/180)).

FAQ

What is Shear Strength given Submerged Unit Weight?

The Shear Strength given Submerged Unit Weight is defined as the value of shear strength of soil when we have prior information of other parameters used and is represented as τ_f = (ζ_soil*y_S*tan((φ*pi)/180))/(γ_saturated*tan((i*pi)/180)) or Shear Strength in KN per Cubic Meter = (Shear Stress in Soil Mechanics*Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)). Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, 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, Angle of Internal Friction is the angle measured between the normal force and resultant force , Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume & Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Shear Strength given Submerged Unit Weight?

The Shear Strength given Submerged Unit Weight is defined as the value of shear strength of soil when we have prior information of other parameters used is calculated using Shear Strength in KN per Cubic Meter = (Shear Stress in Soil Mechanics*Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)). To calculate Shear Strength given Submerged Unit Weight, you need Shear Stress in Soil Mechanics (ζ_soil), Submerged Unit Weight in KN per Cubic Meter (y_S), Angle of Internal Friction (φ), Saturated Unit Weight of Soil (γ_saturated) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Shear Stress in Soil Mechanics, Submerged Unit Weight in KN per Cubic Meter, Angle of Internal Friction, Saturated Unit Weight of Soil & Angle of Inclination to Horizontal in Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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