FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Maximum shear stress in shaft given polar moment of inertia Formula

Fx Copy

LaTeX Copy

Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces. Check FAQs

𝜏 max = \frac{τ \cdot R shaft}{J shaft}

𝜏_max - Maximum Shear Stress on Shaft?τ - Torque Exerted on Wheel?R_shaft - Radius of Shaft?J_shaft - Polar Moment of Inertia of shaft?

Maximum shear stress in shaft given polar moment of inertia Example

With values

With units

Only example

Here is how the Maximum shear stress in shaft given polar moment of inertia equation looks like with Values.

Here is how the Maximum shear stress in shaft given polar moment of inertia equation looks like with Units.

Here is how the Maximum shear stress in shaft given polar moment of inertia equation looks like.

6.8E-6 = \frac{50 \cdot 1350}{10}

6.8E-6MPa = \frac{50N*m \cdot 1350mm}{10m⁴}

6.8E-6 = \frac{50 \cdot 1350}{10}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Maximum shear stress in shaft given polar moment of inertia

Maximum shear stress in shaft given polar moment of inertia Solution

Follow our step by step solution on how to calculate Maximum shear stress in shaft given polar moment of inertia?

FIRST Step Consider the formula

𝜏 max = \frac{τ \cdot R shaft}{J shaft}

Next Step Substitute values of Variables

∴

𝜏 max = \frac{50N*m \cdot 1350mm}{10m⁴}

Next Step Convert Units

∴

𝜏 max = \frac{50N*m \cdot 1.35m}{10m⁴}

Next Step Prepare to Evaluate

∴

𝜏 max = \frac{50 \cdot 1.35}{10}

Next Step Evaluate

∴

𝜏 max = 6.75Pa

Next Step Convert to Output's Unit

∴

𝜏 max = 6.75E-06MPa

LAST Step Rounding Answer

∴

𝜏 max = 6.8E-6MPa

Maximum shear stress in shaft given polar moment of inertia Formula Elements

Variables

Maximum Shear Stress on Shaft

Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.

Symbol: 𝜏_max

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress on Shaft

Torque Exerted on Wheel

Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Wheel

Radius of Shaft

Radius of shaft is the distance between the center and the circumference of the shaft.

Symbol: R_shaft

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Radius of Shaft

Polar Moment of Inertia of shaft

Polar Moment of Inertia of shaft is the measure of object resistance to torsion.

Symbol: J_shaft

Measurement: Second Moment of AreaUnit: m⁴

Note: Value can be positive or negative.

Formulas to find Polar Moment of Inertia of shaft

Other formulas in Expression for Torque in terms of Polar Moment of Inertia category

Go Modulus of Rigidity of Shaft given Torque Transmitted and Polar Moment of Inertia

C = \frac{τ \cdot L}{θ \cdot J shaft}

Go Polar Moment of Inertia of Shaft given Torque Transmitted and Modulus of Rigidity

J shaft = \frac{τ \cdot L}{C \cdot θ}

Go Length of Shaft given Polar Moment of Inertia and Modulus of Rigidity

L = \frac{C \cdot θ \cdot J shaft}{τ}

Go Angle of Twist for Shaft given Polar Moment of Inertia and Modulus of Rigidity

θ = \frac{τ \cdot L}{C \cdot J shaft}

How to Evaluate Maximum shear stress in shaft given polar moment of inertia?

Maximum shear stress in shaft given polar moment of inertia evaluator uses Maximum Shear Stress on Shaft = (Torque Exerted on Wheel*Radius of Shaft)/Polar Moment of Inertia of shaft to evaluate the Maximum Shear Stress on Shaft, Maximum shear stress in shaft given polar moment of inertia is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Maximum Shear Stress on Shaft is denoted by 𝜏_max symbol.

How to evaluate Maximum shear stress in shaft given polar moment of inertia using this online evaluator? To use this online evaluator for Maximum shear stress in shaft given polar moment of inertia, enter Torque Exerted on Wheel (τ), Radius of Shaft (R_shaft) & Polar Moment of Inertia of shaft (J_shaft) and hit the calculate button.

FAQs on Maximum shear stress in shaft given polar moment of inertia

What is the formula to find Maximum shear stress in shaft given polar moment of inertia?

The formula of Maximum shear stress in shaft given polar moment of inertia is expressed as Maximum Shear Stress on Shaft = (Torque Exerted on Wheel*Radius of Shaft)/Polar Moment of Inertia of shaft. Here is an example- 6.8E-12 = (50*1.35)/10.

How to calculate Maximum shear stress in shaft given polar moment of inertia?

With Torque Exerted on Wheel (τ), Radius of Shaft (R_shaft) & Polar Moment of Inertia of shaft (J_shaft) we can find Maximum shear stress in shaft given polar moment of inertia using the formula - Maximum Shear Stress on Shaft = (Torque Exerted on Wheel*Radius of Shaft)/Polar Moment of Inertia of shaft.

Can the Maximum shear stress in shaft given polar moment of inertia be negative?

Yes, the Maximum shear stress in shaft given polar moment of inertia, measured in Pressure can be negative.

Which unit is used to measure Maximum shear stress in shaft given polar moment of inertia?

Maximum shear stress in shaft given polar moment of inertia is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Maximum shear stress in shaft given polar moment of inertia can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Maximum shear stress in shaft given polar moment of inertia Formula

Maximum shear stress in shaft given polar moment of inertia Example

Maximum shear stress in shaft given polar moment of inertia Solution

Maximum shear stress in shaft given polar moment of inertia Formula Elements

Other formulas in Expression for Torque in terms of Polar Moment of Inertia category

How to Evaluate Maximum shear stress in shaft given polar moment of inertia?

FAQs on Maximum shear stress in shaft given polar moment of inertia

Variable Name