Shear Stress given Submerged Unit Weight Calculator

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

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Shear Stress given Submerged Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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 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.
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.
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 Strength in KN per Cubic Meter: 4.92 Kilonewton per Square Meter --> 4920 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

ζ_soil = τ_f/((y_S*tan((φ)))/(γ_saturated*tan((i)))) --> 4920/((5000*tan((0.802851455917241)))/(11890*tan((1.11701072127616))))

Evaluating ... ...

ζ_soil = 23165.0030463537

STEP 3: Convert Result to Output's Unit

23165.0030463537 Pascal -->23.1650030463537 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

23.1650030463537 ≈ 23.165 Kilonewton per Square Meter <-- Shear Stress in Soil Mechanics

(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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< Steady State Seepage Analysis Along The Slopes Calculators

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 Stress given Submerged Unit Weight Formula

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What is Shear Stress?

Shear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand.

How to Calculate Shear Stress given Submerged Unit Weight?

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

How to calculate Shear Stress given Submerged Unit Weight using this online calculator? To use this online calculator for Shear Stress given Submerged Unit Weight, enter Shear Strength in KN per Cubic Meter (τ_f), 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 Stress given Submerged Unit Weight calculation can be explained with given input values -> 0.023165 = 4920/((5000*tan((0.802851455917241)))/(11890*tan((1.11701072127616)))).

FAQ

What is Shear Stress given Submerged Unit Weight?

The Shear Stress given Submerged Unit Weight is defined as the value of shear stress when we have prior information of other parameters used and is represented as ζ_soil = τ_f/((y_S*tan((φ)))/(γ_saturated*tan((i)))) or Shear Stress in Soil Mechanics = Shear Strength in KN per Cubic Meter/((Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction)))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil)))). Shear Strength in KN per Cubic Meter is the strength of a material against structural failure when the material fails in shear, 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 Stress given Submerged Unit Weight?

The Shear Stress given Submerged Unit Weight is defined as the value of shear stress when we have prior information of other parameters used is calculated using Shear Stress in Soil Mechanics = Shear Strength in KN per Cubic Meter/((Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction)))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil)))). To calculate Shear Stress given Submerged Unit Weight, you need Shear Strength in KN per Cubic Meter (τ_f), 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 Strength in KN per Cubic Meter, 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.

How many ways are there to calculate Shear Stress in Soil Mechanics?

In this formula, Shear Stress in Soil Mechanics uses Shear Strength in KN per Cubic Meter, Submerged Unit Weight in KN per Cubic Meter, Angle of Internal Friction, Saturated Unit Weight of Soil & Angle of Inclination to Horizontal in Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))

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