Normal Stress using 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%
✖The Angle of Obliquity is the angle made by resultant stress with the normal of the oblique plane.ⓘ Angle of Obliquity [ϕ]			+10% -10%

✖Normal Stress is stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress using Obliquity [σ_n]

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Formula

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Normal Stress using Obliquity

Formula

`"σ"_{"n"} = "𝜏"/tan("ϕ")`

Example

`"2.4MPa"="2.4MPa"/tan("45°")`

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Normal Stress using Obliquity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress = Shear Stress/tan(Angle of Obliquity)
σ_n = 𝜏/tan(ϕ)
This formula uses 1 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)

Variables Used

Normal Stress - (Measured in Pascal) - Normal Stress is stress that occurs when a member is loaded by an axial force.
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.
Angle of Obliquity - (Measured in Radian) - The Angle of Obliquity is the angle made by resultant stress with the normal of the oblique plane.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 2.4 Megapascal --> 2400000 Pascal (Check conversion here)
Angle of Obliquity: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_n = 𝜏/tan(ϕ) --> 2400000/tan(0.785398163397301)

Evaluating ... ...

σ_n = 2400000.00000071

STEP 3: Convert Result to Output's Unit

2400000.00000071 Pascal -->2.40000000000071 Megapascal (Check conversion here)

FINAL ANSWER

2.40000000000071 ≈ 2.4 Megapascal <-- Normal Stress

(Calculation completed in 00.004 seconds)

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< 6 Normal Stress Calculators

Normal Stress on Oblique Section given Stress in Perpendicular Directions

Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2*cos(2*Angle made by Oblique Section with Normal)

Normal Stress for Principal Planes at Angle of 0 Degrees given Major and Minor Tensile Stress

Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2

Normal Stress for Principal Planes when Planes are at Angle of 0 Degree

Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2

Normal Stress for Principal Planes at Angle of 90 degrees

Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2

Normal Stress across Oblique Section

Go Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2

Normal Stress using Obliquity

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

Normal Stress using Obliquity Formula

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

What is normal stress?

Stress is said to be normal stress when the direction of the deforming force is perpendicular to the cross-sectional area of the body.

How to Calculate Normal Stress using Obliquity?

Normal Stress using Obliquity calculator uses Normal Stress = Shear Stress/tan(Angle of Obliquity) to calculate the Normal Stress, The Normal Stress using Obliquity formula is defined as the ratio of shear stress to the tan angle of obliquity. Normal Stress is denoted by σ_n symbol.

How to calculate Normal Stress using Obliquity using this online calculator? To use this online calculator for Normal Stress using Obliquity, enter Shear Stress (𝜏) & Angle of Obliquity (ϕ) and hit the calculate button. Here is how the Normal Stress using Obliquity calculation can be explained with given input values -> 2.4E-6 = 2400000/tan(0.785398163397301).

FAQ

What is Normal Stress using Obliquity?

The Normal Stress using Obliquity formula is defined as the ratio of shear stress to the tan angle of obliquity and is represented as σ_n = 𝜏/tan(ϕ) or Normal Stress = Shear Stress/tan(Angle of Obliquity). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & The Angle of Obliquity is the angle made by resultant stress with the normal of the oblique plane.

How to calculate Normal Stress using Obliquity?

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

In this formula, Normal Stress uses Shear Stress & Angle of Obliquity. We can use 5 other way(s) to calculate the same, which is/are as follows -

Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2
Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2
Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2
Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2
Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2*cos(2*Angle made by Oblique Section with Normal)

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