FormulaDen.com

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

Twist angle given maximum permissible shear stress Formula

GoTwist angle given Shaft length and modulus of rigidity Formula

Fx Copy

LaTeX Copy

Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end. Check FAQs

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

θ - Angle of Twist?τ_max - Maximum Shear Stress?L_shaft - Length of Shaft?R - Radius of Shaft?G_Torsion - Modulus of Rigidity?

Twist angle given maximum permissible shear stress Example

With values

With units

Only example

Here is how the Twist angle given maximum permissible shear stress equation looks like with Values.

Here is how the Twist angle given maximum permissible shear stress equation looks like with Units.

Here is how the Twist angle given maximum permissible shear stress equation looks like.

0.0437 = \frac{42 \cdot 4.58}{110 \cdot 40}

0.0437rad = \frac{42MPa \cdot 4.58m}{110mm \cdot 40GPa}

0.0437 = \frac{42 \cdot 4.58}{110 \cdot 40}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Twist angle given maximum permissible shear stress

Twist angle given maximum permissible shear stress Solution

Follow our step by step solution on how to calculate Twist angle given maximum permissible shear stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

θ = \frac{42MPa \cdot 4.58m}{110mm \cdot 40GPa}

Next Step Convert Units

∴

θ = \frac{4.2E+7Pa \cdot 4.58m}{0.11m \cdot 4E+10Pa}

Next Step Prepare to Evaluate

∴

θ = \frac{4.2E+7 \cdot 4.58}{0.11 \cdot 4E+10}

Next Step Evaluate

∴

θ = 0.0437181818181818rad

LAST Step Rounding Answer

∴

θ = 0.0437rad

Twist angle given maximum permissible shear stress Formula Elements

Variables

Angle of Twist

Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle of Twist

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

Length of Shaft

Length of Shaft is the distance between two ends of shaft.

Symbol: L_shaft

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Shaft

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

Modulus of Rigidity

Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Other Formulas to find Angle of Twist

Go Twist angle given Shaft length and modulus of rigidity

θ = \frac{T \cdot L shaft}{J \cdot G Torsion}

Other formulas in Torsion category

Go Twisting Moment given Maximum Permissible Shear Stress

T = \frac{J \cdot τ max}{R}

Go Maximum permissible shear stress

τ max = T \cdot \frac{R}{J}

Go Radius with known Maximum permissible shear stress

R = τ max \cdot \frac{J}{T}

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

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

How to Evaluate Twist angle given maximum permissible shear stress?

Twist angle given maximum permissible shear stress evaluator uses Angle of Twist = (Maximum Shear Stress*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity) to evaluate the Angle of Twist, The Twist angle given maximum permissible shear stress along with modulus of rigidity, and shaft length given is defined as the angle of rotation of any plane taken along the axis of the shaft. Angle of Twist is denoted by θ symbol.

How to evaluate Twist angle given maximum permissible shear stress using this online evaluator? To use this online evaluator for Twist angle given maximum permissible shear stress, enter Maximum Shear Stress (τ_max), Length of Shaft (L_shaft), Radius of Shaft (R) & Modulus of Rigidity (G_Torsion) and hit the calculate button.

FAQs on Twist angle given maximum permissible shear stress

What is the formula to find Twist angle given maximum permissible shear stress?

The formula of Twist angle given maximum permissible shear stress is expressed as Angle of Twist = (Maximum Shear Stress*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity). Here is an example- 0.043718 = (42000000*4.58)/(0.11*40000000000).

How to calculate Twist angle given maximum permissible shear stress?

With Maximum Shear Stress (τ_max), Length of Shaft (L_shaft), Radius of Shaft (R) & Modulus of Rigidity (G_Torsion) we can find Twist angle given maximum permissible shear stress using the formula - Angle of Twist = (Maximum Shear Stress*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity).

What are the other ways to Calculate Angle of Twist?

Here are the different ways to Calculate Angle of Twist-

Angle of Twist=(Torque*Length of Shaft)/(Polar Moment of Inertia*Modulus of Rigidity)

Can the Twist angle given maximum permissible shear stress be negative?

Yes, the Twist angle given maximum permissible shear stress, measured in Angle can be negative.

Which unit is used to measure Twist angle given maximum permissible shear stress?

Twist angle given maximum permissible shear stress is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Twist angle given maximum permissible shear stress can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Twist angle given maximum permissible shear stress Formula

​GoTwist angle given Shaft length and modulus of rigidity Formula

Twist angle given maximum permissible shear stress Example

Twist angle given maximum permissible shear stress Solution

Twist angle given maximum permissible shear stress Formula Elements

Other Formulas to find Angle of Twist

Other formulas in Torsion category

How to Evaluate Twist angle given maximum permissible shear stress?

FAQs on Twist angle given maximum permissible shear stress

Variable Name

GoTwist angle given Shaft length and modulus of rigidity Formula