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Shear Stress using Obliquity Formula

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Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Check FAQs

𝜏 = \tan (ϕ) \cdot σ n

𝜏 - Shear Stress?ϕ - Angle of Obliquity?σ_n - Normal Stress?

Shear Stress using Obliquity Example

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With units

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Here is how the Shear Stress using Obliquity equation looks like with Values.

Here is how the Shear Stress using Obliquity equation looks like with Units.

Here is how the Shear Stress using Obliquity equation looks like.

0.25 = \tan (45) \cdot 0.25

0.25MPa = \tan (45°) \cdot 0.25MPa

0.25 = \tan (45) \cdot 0.25

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Shear Stress using Obliquity Solution

Follow our step by step solution on how to calculate Shear Stress using Obliquity?

FIRST Step Consider the formula

𝜏 = \tan (ϕ) \cdot σ n

Next Step Substitute values of Variables

∴

𝜏 = \tan (45°) \cdot 0.25MPa

Next Step Convert Units

∴

𝜏 = \tan (0.7854rad) \cdot 250000Pa

Next Step Prepare to Evaluate

∴

𝜏 = \tan (0.7854) \cdot 250000

Next Step Evaluate

∴

𝜏 = 249999.999999926Pa

Next Step Convert to Output's Unit

∴

𝜏 = 0.249999999999926MPa

LAST Step Rounding Answer

∴

𝜏 = 0.25MPa

Shear Stress using Obliquity Formula Elements

Variables

Functions

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Angle of Obliquity

The Angle of Obliquity is the angle made by resultant stress with the normal of the oblique plane.

Symbol: ϕ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Obliquity

Normal Stress

Normal Stress is stress that occurs when a member is loaded by an axial force.

Symbol: σ_n

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Normal Stress

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.

Syntax: tan(Angle)

Other formulas in Shear Stress category

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

θ plane = \frac{1}{2} \cdot a \tan (\frac{σ x - σ y}{2 \cdot 𝜏})

Go Maximum Shear Stress given Major and Minor Tensile Stress

𝜏 max = \frac{σ 1 - σ 2}{2}

Go Maximum Shear Stress given Member is under Direct and Shear Stress

𝜏 max = \frac{\sqrt{{(σ x - σ y)}^{2} + 4 \cdot 𝜏^{2}}}{2}

How to Evaluate Shear Stress using Obliquity?

Shear Stress using Obliquity evaluator uses Shear Stress = tan(Angle of Obliquity)*Normal Stress to evaluate 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 evaluate Shear Stress using Obliquity using this online evaluator? To use this online evaluator for Shear Stress using Obliquity, enter Angle of Obliquity (ϕ) & Normal Stress (σ_n) and hit the calculate button.

FAQs on Shear Stress using Obliquity

What is the formula to find Shear Stress using Obliquity?

The formula of Shear Stress using Obliquity is expressed as Shear Stress = tan(Angle of Obliquity)*Normal Stress. Here is an example- 2.5E-7 = tan(0.785398163397301)*250000.

How to calculate Shear Stress using Obliquity?

With Angle of Obliquity (ϕ) & Normal Stress (σ_n) we can find Shear Stress using Obliquity using the formula - Shear Stress = tan(Angle of Obliquity)*Normal Stress. This formula also uses Tangent (tan) function(s).

Can the Shear Stress using Obliquity be negative?

No, the Shear Stress using Obliquity, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress using Obliquity?

Shear Stress using Obliquity is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Shear Stress using Obliquity can be measured.

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