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 = σzkp*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 = σzkp*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)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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4 Shear Stress Component Calculators

Shear Stress Component given Unit Weight of Soil
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
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
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
Go Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety

Shear Stress Component given Vertical Stress Formula

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