Angle of Obliquity Calculator

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖Normal Stress is stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress [σ_n]			+10% -10%

✖The Angle of Obliquity is the angle made by resultant stress with the normal of the oblique plane.ⓘ Angle of Obliquity [ϕ]

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Formula

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Angle of Obliquity

Formula

`"ϕ" = atan("𝜏"/"σ"_{"n"})`

Example

`"84.05314°"=atan("2.4MPa"/"0.250MPa")`

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Angle of Obliquity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Obliquity = atan(Shear Stress/Normal Stress)
ϕ = atan(𝜏/σ_n)
This formula uses 2 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Angle of Obliquity - (Measured in Radian) - The Angle of Obliquity is the angle made by resultant stress with the normal of the oblique plane.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Normal Stress - (Measured in Pascal) - Normal Stress is stress that occurs when a member is loaded by an axial force.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 2.4 Megapascal --> 2400000 Pascal (Check conversion here)
Normal Stress: 0.25 Megapascal --> 250000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ = atan(𝜏/σ_n) --> atan(2400000/250000)

Evaluating ... ...

ϕ = 1.46700398633785

STEP 3: Convert Result to Output's Unit

1.46700398633785 Radian -->84.0531369460423 Degree (Check conversion here)

FINAL ANSWER

84.0531369460423 ≈ 84.05314 Degree <-- Angle of Obliquity

(Calculation completed in 00.004 seconds)

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< 8 Principal Stresses Calculators

Major Principal Stress if Member is Subjected to Two Perpendicular Direct Stress and Shear Stress

Go Major Principal Stress = (Stress acting along x-direction+Stress acting along y-direction)/2+sqrt(((Stress acting along x-direction-Stress acting along y-direction)/2)^2+Shear Stress^2)

Minor Principal Stress if Member is Subjected to Two Perpendicular Direct Stress and Shear Stress

Go Minor Principal Stress = (Stress acting along x-direction+Stress acting along y-direction)/2-sqrt(((Stress acting along x-direction-Stress acting along y-direction)/2)^2+Shear Stress^2)

Resultant Stress on Oblique Section given Stress in Perpendicular Directions

Go Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2)

Angle of Obliquity

Go Angle of Obliquity = atan(Shear Stress/Normal Stress)

Safe Stress given Safe Value of Axial Pull

Go Stress in Bar = Safe Value of Axial Pull/Area of Cross-Section

Safe Value of Axial Pull

Go Safe Value of Axial Pull = Safe Stress*Area of Cross-Section

Stress along Maximum Axial Force

Go Stress in Bar = Maximum Axial Force/Area of Cross-Section

Maximum Axial Force

Go Maximum Axial Force = Stress in Bar*Area of Cross-Section

Angle of Obliquity Formula

Angle of Obliquity = atan(Shear Stress/Normal Stress)
ϕ = atan(𝜏/σ_n)

What is obliquity?

Obliquity is the angle made by the resultant stress with the normal of the oblique plane, it is denoted by symbol ϕ.

How to Calculate Angle of Obliquity?

Angle of Obliquity calculator uses Angle of Obliquity = atan(Shear Stress/Normal Stress) to calculate the Angle of Obliquity, The Angle of Obliquity formula is defined as the inverse tan function of ratio of shear stress to normal stress. Angle of Obliquity is denoted by ϕ symbol.

How to calculate Angle of Obliquity using this online calculator? To use this online calculator for Angle of Obliquity, enter Shear Stress (𝜏) & Normal Stress (σ_n) and hit the calculate button. Here is how the Angle of Obliquity calculation can be explained with given input values -> 4815.89 = atan(2400000/250000).

FAQ

What is Angle of Obliquity?

The Angle of Obliquity formula is defined as the inverse tan function of ratio of shear stress to normal stress and is represented as ϕ = atan(𝜏/σ_n) or Angle of Obliquity = atan(Shear Stress/Normal Stress). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Normal Stress is stress that occurs when a member is loaded by an axial force.

How to calculate Angle of Obliquity?

The Angle of Obliquity formula is defined as the inverse tan function of ratio of shear stress to normal stress is calculated using Angle of Obliquity = atan(Shear Stress/Normal Stress). To calculate Angle of Obliquity, you need Shear Stress (𝜏) & Normal Stress (σ_n). With our tool, you need to enter the respective value for Shear Stress & Normal Stress 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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