Shear Stress Component given Unit Weight of Soil Calculator

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+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%

✖Ultimate 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 Component given Unit Weight of Soil [ζ]

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Shear Stress Component given Unit Weight of Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Shear Stress in Soil Mechanics = (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))
ζ = (γ*z*cos((i*pi)/180)*sin((i*pi)/180))
This formula uses 1 Constants, 2 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Ultimate Shear Stress in Soil Mechanics - (Measured in Pascal) - Ultimate 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.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
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

Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
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

ζ = (γ*z*cos((i*pi)/180)*sin((i*pi)/180)) --> (18000*3*cos((1.11701072127616*pi)/180)*sin((1.11701072127616*pi)/180))

Evaluating ... ...

ζ = 1052.49107170766

STEP 3: Convert Result to Output's Unit

1052.49107170766 Pascal -->1.05249107170766 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

1.05249107170766 ≈ 1.052491 Kilonewton per Square Meter <-- Ultimate Shear Stress in Soil Mechanics

(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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< Shear Stress Component Calculators

Shear Stress Component given Unit Weight of Soil

LaTeX Go Ultimate Shear Stress in Soil Mechanics = (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))

Shear Stress Component given Vertical Stress

LaTeX Go Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180)

Angle of Inclination given Shear Stress Component

LaTeX Go Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point)

Shear Strength of Soil given Factor of Safety

LaTeX Go Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety

Shear Stress Component given Unit Weight of Soil Formula

LaTeX Go

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 Component given Unit Weight of Soil?

Shear Stress Component given Unit Weight of Soil calculator uses Ultimate Shear Stress in Soil Mechanics = (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)) to calculate the Ultimate Shear Stress in Soil Mechanics, The Shear Stress Component given Unit Weight of Soil is defined as the value of shear stress when we have prior information of other parameters used. Ultimate Shear Stress in Soil Mechanics is denoted by ζ symbol.

How to calculate Shear Stress Component given Unit Weight of Soil using this online calculator? To use this online calculator for Shear Stress Component given Unit Weight of Soil, enter Unit Weight of Soil (γ), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Shear Stress Component given Unit Weight of Soil calculation can be explained with given input values -> 0.001052 = (18000*3*cos((1.11701072127616*pi)/180)*sin((1.11701072127616*pi)/180)).

FAQ

What is Shear Stress Component given Unit Weight of Soil?

The Shear Stress Component given Unit Weight of Soil is defined as the value of shear stress when we have prior information of other parameters used and is represented as ζ = (γ*z*cos((i*pi)/180)*sin((i*pi)/180)) or Ultimate Shear Stress in Soil Mechanics = (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)). Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, 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 Shear Stress Component given Unit Weight of Soil?

The Shear Stress Component given Unit Weight of Soil is defined as the value of shear stress when we have prior information of other parameters used is calculated using Ultimate Shear Stress in Soil Mechanics = (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)). To calculate Shear Stress Component given Unit Weight of Soil, you need Unit Weight of Soil (γ), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Unit Weight of Soil, 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 Ultimate Shear Stress in Soil Mechanics?

In this formula, Ultimate Shear Stress in Soil Mechanics uses Unit Weight of Soil, Depth of Prism & Angle of Inclination to Horizontal in Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180)

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