Shear Stress Component given Vertical Stress Calculator

✖Vertical Stress at a Point in Kilopascal is the stress acting perpendicular to the surface in kilopascal.ⓘ Vertical Stress at a Point in Kilopascal [σ_zkp]			+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 Vertical Stress [ζ]

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Shear Stress Component given Vertical Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180)
ζ = σ_zkp*sin((i*pi)/180)
This formula uses 1 Constants, 1 Functions, 3 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)

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.
Vertical Stress at a Point in Kilopascal - (Measured in Pascal) - Vertical Stress at a Point in Kilopascal is the stress acting perpendicular to the surface in kilopascal.
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

Vertical Stress at a Point in Kilopascal: 53 Kilopascal --> 53000 Pascal (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 = σ_zkp*sin((i*pi)/180) --> 53000*sin((1.11701072127616*pi)/180)

Evaluating ... ...

ζ = 1033.19683628228

STEP 3: Convert Result to Output's Unit

1033.19683628228 Pascal -->1.03319683628228 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

1.03319683628228 ≈ 1.033197 Kilonewton per Square Meter <-- Ultimate 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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< 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 Vertical Stress Formula

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)
ζ = σ_zkp*sin((i*pi)/180)

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 Vertical Stress?

Shear Stress Component given Vertical Stress calculator uses Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180) to calculate the Ultimate Shear Stress in Soil Mechanics, The Shear Stress Component given Vertical Stress is defined as the value of shear stress component 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 Vertical Stress using this online calculator? To use this online calculator for Shear Stress Component given Vertical Stress, enter Vertical Stress at a Point in Kilopascal (σ_zkp) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Shear Stress Component given Vertical Stress calculation can be explained with given input values -> 0.001033 = 53000*sin((1.11701072127616*pi)/180).

FAQ

What is Shear Stress Component given Vertical Stress?

The Shear Stress Component given Vertical Stress is defined as the value of shear stress component when we have prior information of other parameters used and is represented as ζ = σ_zkp*sin((i*pi)/180) or Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180). Vertical Stress at a Point in Kilopascal is the stress acting perpendicular to the surface in kilopascal & 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 Vertical Stress?

The Shear Stress Component given Vertical Stress is defined as the value of shear stress component when we have prior information of other parameters used is calculated using Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180). To calculate Shear Stress Component given Vertical Stress, you need Vertical Stress at a Point in Kilopascal (σ_zkp) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Vertical Stress at a Point in Kilopascal & 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 Vertical Stress at a Point in Kilopascal & 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 = (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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