Angle of Inclination given Shear Stress Component Calculator

✖Ultimate shear stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Ultimate Shear Stress [τ_u]			+10% -10%
✖Vertical Stress at a Point is the stress acting perpendicular to the surface.ⓘ Vertical Stress at a Point [σ_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 given Shear Stress Component [i]

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Angle of Inclination given Shear Stress Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point)
i = asin(τ_u/σ_z)
This formula uses 2 Functions, 3 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

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.
Ultimate Shear Stress - (Measured in Pascal) - Ultimate shear stress 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 - (Measured in Pascal) - Vertical Stress at a Point is the stress acting perpendicular to the surface.

STEP 1: Convert Input(s) to Base Unit

Ultimate Shear Stress: 8 Newton per Square Millimeter --> 8000000 Pascal (Check conversion here)
Vertical Stress at a Point: 10 Megapascal --> 10000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = asin(τ_u/σ_z) --> asin(8000000/10000000)

Evaluating ... ...

i = 0.927295218001612

STEP 3: Convert Result to Output's Unit

0.927295218001612 Radian -->53.130102354166 Degree (Check conversion here)

FINAL ANSWER

53.130102354166 ≈ 53.1301 Degree <-- Angle of Inclination to Horizontal in Soil

(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

Angle of Inclination given Shear Stress Component Formula

LaTeX Go

Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point)
i = asin(τ_u/σ_z)

What is Angle of Inclination?

The angle inclination of a line is the angle formed by the intersection of the line and the x-axis. Using a horizontal "run" of 1 and m for slope, the angle of inclination, theta=tan-1(m), or m=tan(theta).

How to Calculate Angle of Inclination given Shear Stress Component?

Angle of Inclination given Shear Stress Component calculator uses Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point) to calculate the Angle of Inclination to Horizontal in Soil, The Angle of Inclination given Shear Stress Component is defined as the value of angle of inclination when we have prior information of other parameters used. Angle of Inclination to Horizontal in Soil is denoted by i symbol.

How to calculate Angle of Inclination given Shear Stress Component using this online calculator? To use this online calculator for Angle of Inclination given Shear Stress Component, enter Ultimate Shear Stress (τ_u) & Vertical Stress at a Point (σ_z) and hit the calculate button. Here is how the Angle of Inclination given Shear Stress Component calculation can be explained with given input values -> 3044.131 = asin(8000000/10000000).

FAQ

What is Angle of Inclination given Shear Stress Component?

The Angle of Inclination given Shear Stress Component is defined as the value of angle of inclination when we have prior information of other parameters used and is represented as i = asin(τ_u/σ_z) or Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point). Ultimate shear stress 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 is the stress acting perpendicular to the surface.

How to calculate Angle of Inclination given Shear Stress Component?

The Angle of Inclination given Shear Stress Component is defined as the value of angle of inclination when we have prior information of other parameters used is calculated using Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point). To calculate Angle of Inclination given Shear Stress Component, you need Ultimate Shear Stress (τ_u) & Vertical Stress at a Point (σ_z). With our tool, you need to enter the respective value for Ultimate Shear Stress & Vertical Stress at a Point and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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