FormulaDen.com

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

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity Formula

GoTorsional Moment given Torsional Shear Stress in Hollow Shaft Formula

Fx Copy

LaTeX Copy

Torsional Moment in Hollow Shaft is the reaction induced in a structural shaft hollow element when an external force or moment is applied to the element, causing the element to twist. Check FAQs

Mt hollowshaft = θ hollow \cdot \frac{G h \cdot {d o}^{4} \cdot (1 - C^{4})}{584 \cdot L h}

Mt_hollowshaft - Torsional Moment in Hollow Shaft?θ_hollow - Angle of Twist of Hollow Shaft?G_h - Modulus of Rigidity of Hollow Shaft?d_o - Outer Diameter of Hollow Shaft?C - Ratio of Inner to Outer Diameter of Hollow Shaft?L_h - Length of Hollow Shaft?

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity Example

With values

With units

Only example

Here is how the Torsional Moment given Angle of Twist on Basis of Torsional Rigidity equation looks like with Values.

Here is how the Torsional Moment given Angle of Twist on Basis of Torsional Rigidity equation looks like with Units.

Here is how the Torsional Moment given Angle of Twist on Basis of Torsional Rigidity equation looks like.

319923.3702 = 23.58 \cdot \frac{70000 \cdot 46^{4} \cdot (1 - {0.85}^{4})}{584 \cdot 330}

319923.3702N*mm = 23.58° \cdot \frac{70000N/mm² \cdot {46mm}^{4} \cdot (1 - {0.85}^{4})}{584 \cdot 330mm}

319923.3702 = 23.58 \cdot \frac{70000 \cdot 46^{4} \cdot (1 - {0.85}^{4})}{584 \cdot 330}

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

Design of Automobile Elements » fx Torsional Moment given Angle of Twist on Basis of Torsional Rigidity

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity Solution

Follow our step by step solution on how to calculate Torsional Moment given Angle of Twist on Basis of Torsional Rigidity?

FIRST Step Consider the formula

Mt hollowshaft = θ hollow \cdot \frac{G h \cdot {d o}^{4} \cdot (1 - C^{4})}{584 \cdot L h}

Next Step Substitute values of Variables

∴

Mt hollowshaft = 23.58° \cdot \frac{70000N/mm² \cdot {46mm}^{4} \cdot (1 - {0.85}^{4})}{584 \cdot 330mm}

Next Step Convert Units

∴

Mt hollowshaft = 0.4115rad \cdot \frac{7E+10Pa \cdot {0.046m}^{4} \cdot (1 - {0.85}^{4})}{584 \cdot 0.33m}

Next Step Prepare to Evaluate

∴

Mt hollowshaft = 0.4115 \cdot \frac{7E+10 \cdot {0.046}^{4} \cdot (1 - {0.85}^{4})}{584 \cdot 0.33}

Next Step Evaluate

∴

Mt hollowshaft = 319.92337016914N*m

Next Step Convert to Output's Unit

∴

Mt hollowshaft = 319923.37016914N*mm

LAST Step Rounding Answer

∴

Mt hollowshaft = 319923.3702N*mm

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity Formula Elements

Variables

Torsional Moment in Hollow Shaft

Torsional Moment in Hollow Shaft is the reaction induced in a structural shaft hollow element when an external force or moment is applied to the element, causing the element to twist.

Symbol: Mt_hollowshaft

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in Hollow Shaft

Angle of Twist of Hollow Shaft

Angle of Twist of Hollow Shaft is the angle through which the fixed end of a hollow shaft rotates with respect to the free end.

Symbol: θ_hollow

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Twist of Hollow Shaft

Modulus of Rigidity of Hollow Shaft

Modulus of Rigidity of Hollow Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G_h

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Hollow Shaft

Outer Diameter of Hollow Shaft

Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Hollow Shaft

Ratio of Inner to Outer Diameter of Hollow Shaft

The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Ratio of Inner to Outer Diameter of Hollow Shaft

Length of Hollow Shaft

Length of Hollow Shaft is the distance between two ends of a hollow shaft.

Symbol: L_h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Hollow Shaft

Other Formulas to find Torsional Moment in Hollow Shaft

Go Torsional Moment given Torsional Shear Stress in Hollow Shaft

Mt hollowshaft = 𝜏 h \cdot \frac{π \cdot {d o}^{3} \cdot (1 - C^{4})}{16}

Other formulas in Design of Hollow Shaft category

Go Ratio of Inner Diameter to Outer Diameter

C = \frac{d i}{d o}

Go Inner Diameter of Hollow Shaft given Ratio of Diameters

d i = C \cdot d o

Go Outer Diameter given Ratio of Diameters

d o = \frac{d i}{C}

Go Tensile Stress in Hollow Shaft when Subjected to Axial Force

σ tp = \frac{P ax hollow}{\frac{π}{4} \cdot ({d o}^{2} - {d i}^{2})}

How to Evaluate Torsional Moment given Angle of Twist on Basis of Torsional Rigidity?

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity evaluator uses Torsional Moment in Hollow Shaft = Angle of Twist of Hollow Shaft*(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/(584*Length of Hollow Shaft) to evaluate the Torsional Moment in Hollow Shaft, Torsional Moment given Angle of Twist on Basis of Torsional Rigidity formula is defined as a measure of the twisting force that causes a hollow shaft to rotate, which is essential in designing hollow shafts to withstand torsional stress and deformation. Torsional Moment in Hollow Shaft is denoted by Mt_hollowshaft symbol.

How to evaluate Torsional Moment given Angle of Twist on Basis of Torsional Rigidity using this online evaluator? To use this online evaluator for Torsional Moment given Angle of Twist on Basis of Torsional Rigidity, enter Angle of Twist of Hollow Shaft (θ_hollow), Modulus of Rigidity of Hollow Shaft (G_h), Outer Diameter of Hollow Shaft (d_o), Ratio of Inner to Outer Diameter of Hollow Shaft (C) & Length of Hollow Shaft (L_h) and hit the calculate button.

FAQs on Torsional Moment given Angle of Twist on Basis of Torsional Rigidity

What is the formula to find Torsional Moment given Angle of Twist on Basis of Torsional Rigidity?

The formula of Torsional Moment given Angle of Twist on Basis of Torsional Rigidity is expressed as Torsional Moment in Hollow Shaft = Angle of Twist of Hollow Shaft*(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/(584*Length of Hollow Shaft). Here is an example- 3.2E+8 = 0.411548637620186*(70000000000*0.046^4*(1-0.85^4))/(584*0.33).

How to calculate Torsional Moment given Angle of Twist on Basis of Torsional Rigidity?

With Angle of Twist of Hollow Shaft (θ_hollow), Modulus of Rigidity of Hollow Shaft (G_h), Outer Diameter of Hollow Shaft (d_o), Ratio of Inner to Outer Diameter of Hollow Shaft (C) & Length of Hollow Shaft (L_h) we can find Torsional Moment given Angle of Twist on Basis of Torsional Rigidity using the formula - Torsional Moment in Hollow Shaft = Angle of Twist of Hollow Shaft*(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/(584*Length of Hollow Shaft).

What are the other ways to Calculate Torsional Moment in Hollow Shaft?

Here are the different ways to Calculate Torsional Moment in Hollow Shaft-

Torsional Moment in Hollow Shaft=Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16

Can the Torsional Moment given Angle of Twist on Basis of Torsional Rigidity be negative?

No, the Torsional Moment given Angle of Twist on Basis of Torsional Rigidity, measured in Torque cannot be negative.

Which unit is used to measure Torsional Moment given Angle of Twist on Basis of Torsional Rigidity?

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torsional Moment given Angle of Twist on Basis of Torsional Rigidity can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity Formula

​GoTorsional Moment given Torsional Shear Stress in Hollow Shaft Formula

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity Example

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity Solution

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity Formula Elements

Other Formulas to find Torsional Moment in Hollow Shaft

Other formulas in Design of Hollow Shaft category

How to Evaluate Torsional Moment given Angle of Twist on Basis of Torsional Rigidity?

FAQs on Torsional Moment given Angle of Twist on Basis of Torsional Rigidity

Variable Name

GoTorsional Moment given Torsional Shear Stress in Hollow Shaft Formula