FormulaDen.com

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

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Formula

GoTotal Turning Moment on Hollow Circular Shaft given Diameter of Shaft Formula

GoTurning Moment on Elementary Ring Formula

Fx Copy

LaTeX Copy

The Turning Moment is the measure of the rotational force transmitted by a hollow circular shaft, essential for understanding its performance in mechanical systems. Check FAQs

T = \frac{π \cdot 𝜏 m \cdot (({r h}^{4}) - ({r i}^{4}))}{2 \cdot r h}

T - Turning Moment?𝜏_m - Maximum Shear Stress on Shaft?r_h - Outer Radius Of Hollow circular Cylinder?r_i - Inner Radius Of Hollow Circular Cylinder?π - Archimedes' constant?

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Example

With values

With units

Only example

Here is how the Total Turning Moment on Hollow Circular Shaft given Radius of Shaft equation looks like with Values.

Here is how the Total Turning Moment on Hollow Circular Shaft given Radius of Shaft equation looks like with Units.

Here is how the Total Turning Moment on Hollow Circular Shaft given Radius of Shaft equation looks like.

26.5093 = \frac{3.1416 \cdot 3.2E-7 \cdot ((5500^{4}) - (5000^{4}))}{2 \cdot 5500}

26.5093N*m = \frac{3.1416 \cdot 3.2E-7MPa \cdot (({5500mm}^{4}) - ({5000mm}^{4}))}{2 \cdot 5500mm}

26.5093 = \frac{3.1416 \cdot 3.2E-7 \cdot ((5500^{4}) - (5000^{4}))}{2 \cdot 5500}

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 Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Solution

Follow our step by step solution on how to calculate Total Turning Moment on Hollow Circular Shaft given Radius of Shaft?

FIRST Step Consider the formula

T = \frac{π \cdot 𝜏 m \cdot (({r h}^{4}) - ({r i}^{4}))}{2 \cdot r h}

Next Step Substitute values of Variables

∴

T = \frac{π \cdot 3.2E-7MPa \cdot (({5500mm}^{4}) - ({5000mm}^{4}))}{2 \cdot 5500mm}

Next Step Substitute values of Constants

∴

T = \frac{3.1416 \cdot 3.2E-7MPa \cdot (({5500mm}^{4}) - ({5000mm}^{4}))}{2 \cdot 5500mm}

Next Step Convert Units

∴

T = \frac{3.1416 \cdot 0.32Pa \cdot (({5.5m}^{4}) - ({5m}^{4}))}{2 \cdot 5.5m}

Next Step Prepare to Evaluate

∴

T = \frac{3.1416 \cdot 0.32 \cdot (({5.5}^{4}) - (5^{4}))}{2 \cdot 5.5}

Next Step Evaluate

∴

T = 26.509330009655N*m

LAST Step Rounding Answer

∴

T = 26.5093N*m

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Formula Elements

Variables

Constants

Turning Moment

The Turning Moment is the measure of the rotational force transmitted by a hollow circular shaft, essential for understanding its performance in mechanical systems.

Symbol: T

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Turning Moment

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_m

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Shear Stress on Shaft

Outer Radius Of Hollow circular Cylinder

The Outer Radius Of Hollow Circular Cylinder is the distance from the center to the outer edge of a hollow cylinder, crucial for understanding its structural properties and torque transmission.

Symbol: r_h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius Of Hollow circular Cylinder

Inner Radius Of Hollow Circular Cylinder

The Inner Radius Of Hollow Circular Cylinder is the distance from the center to the inner surface of a hollow cylinder, influencing its structural integrity and torque transmission.

Symbol: r_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Radius Of Hollow Circular Cylinder

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Turning Moment

Go Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft

T = \frac{π \cdot 𝜏 m \cdot (({d o}^{4}) - ({d i}^{4}))}{16 \cdot d o}

Go Turning Moment on Elementary Ring

T = \frac{4 \cdot π \cdot 𝜏 s \cdot (r^{3}) \cdot b r}{d o}

Other formulas in Torque Transmitted by a Hollow Circular Shaft category

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

𝜏 m = \frac{16 \cdot d o \cdot T}{π \cdot ({d o}^{4} - {d i}^{4})}

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

𝜏 m = \frac{T \cdot 2 \cdot r h}{π \cdot ({r h}^{4} - {r i}^{4})}

Go Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment

r o = \frac{2 \cdot π \cdot 𝜏 s \cdot (r^{2}) \cdot b r}{T}

Go Maximum Shear Stress Induced at Outer Surface given Turning Moment on Elementary Ring

𝜏 s = \frac{T \cdot d o}{4 \cdot π \cdot (r^{3}) \cdot b r}

How to Evaluate Total Turning Moment on Hollow Circular Shaft given Radius of Shaft?

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft evaluator uses 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) to evaluate the Turning Moment, Total Turning Moment on Hollow Circular Shaft given Radius of Shaft formula is defined as a measure of the torque transmitted by a hollow circular shaft, taking into account the maximum shear stress and the radii of the hollow and inner sections. It is essential for assessing shaft performance. Turning Moment is denoted by T symbol.

How to evaluate Total Turning Moment on Hollow Circular Shaft given Radius of Shaft using this online evaluator? To use this online evaluator for Total Turning Moment on Hollow Circular Shaft given Radius of Shaft, enter Maximum Shear Stress on Shaft (𝜏_m), Outer Radius Of Hollow circular Cylinder (r_h) & Inner Radius Of Hollow Circular Cylinder (r_i) and hit the calculate button.

FAQs on Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

What is the formula to find Total Turning Moment on Hollow Circular Shaft given Radius of Shaft?

The formula of Total Turning Moment on Hollow Circular Shaft given Radius of Shaft is expressed as 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). Here is an example- 26.50933 = (pi*0.32*((5.5^4)-(5^4)))/(2*5.5).

How to calculate Total Turning Moment on Hollow Circular Shaft given Radius of Shaft?

With Maximum Shear Stress on Shaft (𝜏_m), Outer Radius Of Hollow circular Cylinder (r_h) & Inner Radius Of Hollow Circular Cylinder (r_i) we can find Total Turning Moment on Hollow Circular Shaft given Radius of Shaft using the formula - 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). This formula also uses Archimedes' constant .

What are the other ways to Calculate Turning Moment?

Here are the different ways to Calculate Turning Moment-

Turning Moment=(pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft)
Turning Moment=(4*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^3)*Thickness of Ring)/Outer Diameter of Shaft

Can the Total Turning Moment on Hollow Circular Shaft given Radius of Shaft be negative?

No, the Total Turning Moment on Hollow Circular Shaft given Radius of Shaft, measured in Torque cannot be negative.

Which unit is used to measure Total Turning Moment on Hollow Circular Shaft given Radius of Shaft?

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Total Turning Moment on Hollow Circular Shaft given Radius of Shaft can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Formula

​GoTotal Turning Moment on Hollow Circular Shaft given Diameter of Shaft Formula

​GoTurning Moment on Elementary Ring Formula

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Example

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Solution

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Formula Elements

Other Formulas to find Turning Moment

Other formulas in Torque Transmitted by a Hollow Circular Shaft category

How to Evaluate Total Turning Moment on Hollow Circular Shaft given Radius of Shaft?

FAQs on Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

Variable Name

GoTotal Turning Moment on Hollow Circular Shaft given Diameter of Shaft Formula

GoTurning Moment on Elementary Ring Formula