Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft Calculator

✖The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities.ⓘ Outer Diameter of Shaft [d_o]			+10% -10%
✖The Turning Moment is the measure of the rotational force transmitted by a hollow circular shaft, essential for understanding its performance in mechanical systems.ⓘ Turning Moment [T]			+10% -10%
✖The Inner Diameter of Shaft is the measurement of the internal width of a hollow shaft, crucial for determining its torque transmission capacity.ⓘ Inner Diameter of Shaft [d_i]			+10% -10%

✖Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.ⓘ Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft [𝜏_m]

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Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress on Shaft = (16*Outer Diameter of Shaft*Turning Moment)/(pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))
𝜏_m = (16*d_o*T)/(pi*(d_o^4-d_i^4))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Shear Stress on Shaft - (Measured in Pascal) - Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.
Outer Diameter of Shaft - (Measured in Meter) - The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities.
Turning Moment - (Measured in Newton Meter) - The Turning Moment is the measure of the rotational force transmitted by a hollow circular shaft, essential for understanding its performance in mechanical systems.
Inner Diameter of Shaft - (Measured in Meter) - The Inner Diameter of Shaft is the measurement of the internal width of a hollow shaft, crucial for determining its torque transmission capacity.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Shaft: 14 Millimeter --> 0.014 Meter (Check conversion here)
Turning Moment: 4 Newton Meter --> 4 Newton Meter No Conversion Required
Inner Diameter of Shaft: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_m = (16*d_o*T)/(pi*(d_o^4-d_i^4)) --> (16*0.014*4)/(pi*(0.014^4-0.035^4))

Evaluating ... ...

𝜏_m = -195051.225933281

STEP 3: Convert Result to Output's Unit

-195051.225933281 Pascal -->-0.195051225933281 Megapascal (Check conversion here)

FINAL ANSWER

-0.195051225933281 ≈ -0.195051 Megapascal <-- Maximum Shear Stress on Shaft

(Calculation completed in 00.020 seconds)

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< Torque Transmitted by a Hollow Circular Shaft Calculators

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

LaTeX Go Turning Moment = (pi*Maximum Shear Stress on Shaft*((Outer Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))/(2*Outer Radius Of Hollow circular Cylinder)

Maximum Shear Stress at Outer Surface given Total Turning Moment on Hollow Circular Shaft

LaTeX Go Maximum Shear Stress on Shaft = (Turning Moment*2*Outer Radius Of Hollow circular Cylinder)/(pi*(Outer Radius Of Hollow circular Cylinder^4-Inner Radius Of Hollow Circular Cylinder^4))

Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft

LaTeX Go Turning Moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft)

Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft

LaTeX Go Maximum Shear Stress on Shaft = (16*Outer Diameter of Shaft*Turning Moment)/(pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))

Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft Formula

LaTeX Go

Maximum Shear Stress on Shaft = (16*Outer Diameter of Shaft*Turning Moment)/(pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))
𝜏_m = (16*d_o*T)/(pi*(d_o^4-d_i^4))

What is Maximum Shear Stress?

Maximum shear stress is the highest value of shear stress that a material or structure experiences under an applied load. It occurs in areas where the forces cause layers of the material to slide relative to each other. This value is crucial in engineering as it helps determine the material's ability to withstand loads without failing or deforming. It guides material selection and design to ensure safety and durability in structural applications.

How to Calculate Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft?

Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft calculator uses Maximum Shear Stress on Shaft = (16*Outer Diameter of Shaft*Turning Moment)/(pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4)) to calculate the Maximum Shear Stress on Shaft, Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft formula is defined as a measure of the maximum shear stress experienced at the outer surface of a hollow circular shaft when subjected to torque. It helps in assessing the shaft's structural integrity. Maximum Shear Stress on Shaft is denoted by 𝜏_m symbol.

How to calculate Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft using this online calculator? To use this online calculator for Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft, enter Outer Diameter of Shaft (d_o), Turning Moment (T) & Inner Diameter of Shaft (d_i) and hit the calculate button. Here is how the Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft calculation can be explained with given input values -> -1.3E-6 = (16*0.014*4)/(pi*(0.014^4-0.035^4)).

FAQ

What is Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft?

Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft formula is defined as a measure of the maximum shear stress experienced at the outer surface of a hollow circular shaft when subjected to torque. It helps in assessing the shaft's structural integrity and is represented as 𝜏_m = (16*d_o*T)/(pi*(d_o^4-d_i^4)) or Maximum Shear Stress on Shaft = (16*Outer Diameter of Shaft*Turning Moment)/(pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4)). The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities, The Turning Moment is the measure of the rotational force transmitted by a hollow circular shaft, essential for understanding its performance in mechanical systems & The Inner Diameter of Shaft is the measurement of the internal width of a hollow shaft, crucial for determining its torque transmission capacity.

How to calculate Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft?

Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft formula is defined as a measure of the maximum shear stress experienced at the outer surface of a hollow circular shaft when subjected to torque. It helps in assessing the shaft's structural integrity is calculated using Maximum Shear Stress on Shaft = (16*Outer Diameter of Shaft*Turning Moment)/(pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4)). To calculate Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft, you need Outer Diameter of Shaft (d_o), Turning Moment (T) & Inner Diameter of Shaft (d_i). With our tool, you need to enter the respective value for Outer Diameter of Shaft, Turning Moment & Inner Diameter of Shaft 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 Maximum Shear Stress on Shaft?

In this formula, Maximum Shear Stress on Shaft uses Outer Diameter of Shaft, Turning Moment & Inner Diameter of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Shear Stress on Shaft = (Turning Moment*2*Outer Radius Of Hollow circular Cylinder)/(pi*(Outer Radius Of Hollow circular Cylinder^4-Inner Radius Of Hollow Circular Cylinder^4))

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