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Maximum permissible shear stress Formula

GoMaximum permissible shear stress for given Radius and modulus of rigidity Formula

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Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area. Check FAQs

τ max = T \cdot \frac{R}{J}

τ_max - Maximum Shear Stress?T - Torque?R - Radius of Shaft?J - Polar Moment of Inertia?

Maximum permissible shear stress Example

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Here is how the Maximum permissible shear stress equation looks like with Values.

Here is how the Maximum permissible shear stress equation looks like with Units.

Here is how the Maximum permissible shear stress equation looks like.

751.2195 = 28 \cdot \frac{110}{0.0041}

751.2195MPa = 28kN*m \cdot \frac{110mm}{0.0041m⁴}

751.2195 = 28 \cdot \frac{110}{0.0041}

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Maximum permissible shear stress Solution

Follow our step by step solution on how to calculate Maximum permissible shear stress?

FIRST Step Consider the formula

τ max = T \cdot \frac{R}{J}

Next Step Substitute values of Variables

∴

τ max = 28kN*m \cdot \frac{110mm}{0.0041m⁴}

Next Step Convert Units

∴

τ max = 28000N*m \cdot \frac{110mm}{0.0041m⁴}

Next Step Prepare to Evaluate

∴

τ max = 28000 \cdot \frac{110}{0.0041}

Next Step Evaluate

∴

τ max = 751219512.195122Pa

Next Step Convert to Output's Unit

∴

τ max = 751.219512195122MPa

LAST Step Rounding Answer

∴

τ max = 751.2195MPa

Maximum permissible shear stress Formula Elements

Variables

Maximum Shear Stress

Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.

Symbol: τ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Shear Stress

Torque

Torque is a measure of the force that can cause an object to rotate about an axis.

Symbol: T

Measurement: TorqueUnit: kN*m

Note: Value can be positive or negative.

Formulas to find Torque

Radius of Shaft

The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Shaft

Polar Moment of Inertia

Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.

Symbol: J

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Polar Moment of Inertia

Other Formulas to find Maximum Shear Stress

Go Maximum permissible shear stress for given Radius and modulus of rigidity

τ max = \frac{G Torsion \cdot (θ) \cdot R}{L shaft}

Other formulas in Torsion category

Go Twisting Moment given Maximum Permissible Shear Stress

T = \frac{J \cdot τ max}{R}

Go Radius with known Maximum permissible shear stress

R = τ max \cdot \frac{J}{T}

Go Modulus of rigidity given maximum permissible shear stress

G Torsion = \frac{τ max \cdot L shaft}{θ \cdot R}

Go Twist angle given maximum permissible shear stress

θ = \frac{τ max \cdot L shaft}{R \cdot G Torsion}

How to Evaluate Maximum permissible shear stress?

Maximum permissible shear stress evaluator uses Maximum Shear Stress = Torque*Radius of Shaft/Polar Moment of Inertia to evaluate the Maximum Shear Stress, The Maximum permissible shear stress is defined as the limit up-to which the material can withstand shear. Maximum Shear Stress is denoted by τ_max symbol.

How to evaluate Maximum permissible shear stress using this online evaluator? To use this online evaluator for Maximum permissible shear stress, enter Torque (T), Radius of Shaft (R) & Polar Moment of Inertia (J) and hit the calculate button.

FAQs on Maximum permissible shear stress

What is the formula to find Maximum permissible shear stress?

The formula of Maximum permissible shear stress is expressed as Maximum Shear Stress = Torque*Radius of Shaft/Polar Moment of Inertia. Here is an example- 7.5E-7 = 28000*0.11/0.0041.

How to calculate Maximum permissible shear stress?

With Torque (T), Radius of Shaft (R) & Polar Moment of Inertia (J) we can find Maximum permissible shear stress using the formula - Maximum Shear Stress = Torque*Radius of Shaft/Polar Moment of Inertia.

What are the other ways to Calculate Maximum Shear Stress?

Here are the different ways to Calculate Maximum Shear Stress-

Maximum Shear Stress=(Modulus of Rigidity*(Angle of Twist)*Radius of Shaft)/Length of Shaft

Can the Maximum permissible shear stress be negative?

No, the Maximum permissible shear stress, measured in Stress cannot be negative.

Which unit is used to measure Maximum permissible shear stress?

Maximum permissible shear stress 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 Maximum permissible shear stress can be measured.

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Maximum permissible shear stress Formula

​GoMaximum permissible shear stress for given Radius and modulus of rigidity Formula

Maximum permissible shear stress Example

Maximum permissible shear stress Solution

Maximum permissible shear stress Formula Elements

Other Formulas to find Maximum Shear Stress

Other formulas in Torsion category

How to Evaluate Maximum permissible shear stress?

FAQs on Maximum permissible shear stress

Variable Name

GoMaximum permissible shear stress for given Radius and modulus of rigidity Formula