Shear Stress using Obliquity Calculator

✖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 [σ_n]			+10% -10%

✖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 using Obliquity [𝜏]

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Shear Stress using Obliquity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

Angle of Obliquity: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Normal Stress: 0.25 Megapascal --> 250000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = tan(ϕ)*σ_n --> tan(0.785398163397301)*250000

Evaluating ... ...

𝜏 = 249999.999999926

STEP 3: Convert Result to Output's Unit

249999.999999926 Pascal -->0.249999999999926 Megapascal (Check conversion here)

FINAL ANSWER

0.249999999999926 ≈ 0.25 Megapascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Shear Stress Calculators

Maximum Shear Stress given Member is under Direct and Shear Stress

LaTeX Go Maximum Shear Stress = sqrt((Stress acting along x-direction-Stress acting along y-direction)^2+4*Shear Stress^2)/2

Condition for Maximum or Minimum Shear Stress given Member under Direct and Shear Stress

LaTeX Go Plane Angle = 1/2*atan((Stress acting along x-direction-Stress acting along y-direction)/(2*Shear Stress))

Shear Stress using Obliquity

LaTeX Go Shear Stress = tan(Angle of Obliquity)*Normal Stress

Maximum Shear Stress given Major and Minor Tensile Stress

LaTeX Go Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2

Shear Stress using Obliquity Formula

LaTeX Go

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

What is shear stress?

Shear stress arises due to shear forces, the pair of forces acting on opposite sides of a body with the same magnitude and opposite direction. shear stress acts coplanar with cross section of material.

How to Calculate Shear Stress using Obliquity?

Shear Stress using Obliquity calculator uses Shear Stress = tan(Angle of Obliquity)*Normal Stress to calculate the Shear Stress, The Shear Stress using Obliquity formula is defined as the product of tan angle of obliquity and normal stress. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress using Obliquity using this online calculator? To use this online calculator for Shear Stress using Obliquity, enter Angle of Obliquity (ϕ) & Normal Stress (σ_n) and hit the calculate button. Here is how the Shear Stress using Obliquity calculation can be explained with given input values -> 2.5E-7 = tan(0.785398163397301)*250000.

FAQ

What is Shear Stress using Obliquity?

The Shear Stress using Obliquity formula is defined as the product of tan angle of obliquity and normal stress and is represented as 𝜏 = tan(ϕ)*σ_n or Shear Stress = tan(Angle of Obliquity)*Normal Stress. The Angle of Obliquity is the angle made by resultant stress with the normal of the oblique plane & Normal Stress is stress that occurs when a member is loaded by an axial force.

How to calculate Shear Stress using Obliquity?

The Shear Stress using Obliquity formula is defined as the product of tan angle of obliquity and normal stress is calculated using Shear Stress = tan(Angle of Obliquity)*Normal Stress. To calculate Shear Stress using Obliquity, you need Angle of Obliquity (ϕ) & Normal Stress (σ_n). With our tool, you need to enter the respective value for Angle of Obliquity & 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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