Submerged Unit Weight given Shear Stress Component Calculator

✖Shear Stress for Submerged Slopes is the force per unit area parallel to the slope surface beneath water, causing deformation.ⓘ Shear Stress for Submerged Slopes [𝜏]			+10% -10%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+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%

✖Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.ⓘ Submerged Unit Weight given Shear Stress Component [γ^']

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Submerged Unit Weight given Shear Stress Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Submerged Unit Weight = Shear Stress for Submerged Slopes/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))
γ^' = 𝜏/(z*cos((i))*sin((i)))
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Submerged Unit Weight - (Measured in Newton per Cubic Meter) - Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.
Shear Stress for Submerged Slopes - (Measured in Pascal) - Shear Stress for Submerged Slopes is the force per unit area parallel to the slope surface beneath water, causing deformation.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
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 for Submerged Slopes: 5.9 Pascal --> 5.9 Pascal No Conversion Required
Depth of Prism: 3 Meter --> 3 Meter No Conversion Required
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ^' = 𝜏/(z*cos((i))*sin((i))) --> 5.9/(3*cos((1.11701072127616))*sin((1.11701072127616)))

Evaluating ... ...

γ^' = 4.9914716459505

STEP 3: Convert Result to Output's Unit

4.9914716459505 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

4.9914716459505 ≈ 4.991472 Newton per Cubic Meter <-- Submerged Unit Weight

(Calculation completed in 00.020 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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< Stability Analysis of Submerged Slopes Calculators

Shear Stress Component given Submerged Unit Weight

LaTeX Go Shear Stress for Submerged Slopes = (Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))

Submerged Unit Weight given Normal Stress Component

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

Depth of Prism given Submerged Unit Weight

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

Normal Stress Component given Submerged Unit Weight

LaTeX Go Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2

Submerged Unit Weight given Shear Stress Component Formula

LaTeX Go

What is Submerged Unit Weight?

Submerged density or buoyant density is the density of a mass of soil as observed under water in a saturated condition of course.

How to Calculate Submerged Unit Weight given Shear Stress Component?

Submerged Unit Weight given Shear Stress Component calculator uses Submerged Unit Weight = Shear Stress for Submerged Slopes/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))) to calculate the Submerged Unit Weight, The Submerged Unit Weight given Shear Stress Component is defined as the force exerted per unit volume of submerged material, influencing the shear stress component in fluids. Submerged Unit Weight is denoted by γ^' symbol.

How to calculate Submerged Unit Weight given Shear Stress Component using this online calculator? To use this online calculator for Submerged Unit Weight given Shear Stress Component, enter Shear Stress for Submerged Slopes (𝜏), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Submerged Unit Weight given Shear Stress Component calculation can be explained with given input values -> 4.991472 = 5.9/(3*cos((1.11701072127616))*sin((1.11701072127616))).

FAQ

What is Submerged Unit Weight given Shear Stress Component?

The Submerged Unit Weight given Shear Stress Component is defined as the force exerted per unit volume of submerged material, influencing the shear stress component in fluids and is represented as γ^' = 𝜏/(z*cos((i))*sin((i))) or Submerged Unit Weight = Shear Stress for Submerged Slopes/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))). Shear Stress for Submerged Slopes is the force per unit area parallel to the slope surface beneath water, causing deformation, Depth of Prism is the length of prism along z direction & 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 Submerged Unit Weight given Shear Stress Component?

The Submerged Unit Weight given Shear Stress Component is defined as the force exerted per unit volume of submerged material, influencing the shear stress component in fluids is calculated using Submerged Unit Weight = Shear Stress for Submerged Slopes/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))). To calculate Submerged Unit Weight given Shear Stress Component, you need Shear Stress for Submerged Slopes (𝜏), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Shear Stress for Submerged Slopes, Depth of Prism & 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 Submerged Unit Weight?

In this formula, Submerged Unit Weight uses Shear Stress for Submerged Slopes, Depth of Prism & Angle of Inclination to Horizontal in Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -

Submerged Unit Weight = Normal Stress/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2)
Submerged Unit Weight = (Cohesion of Soil/((Factor of Safety-(tan((Angle of Internal Friction))/tan((Angle of Inclination to Horizontal in Soil))))*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))))
Submerged Unit Weight = (Cohesion of Soil*(sec((Angle of Inclination to Horizontal in Soil)))^2)/(Critical Depth*(tan((Angle of Inclination to Horizontal in Soil))-tan((Angle of Internal Friction))))

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