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

GoMaximum permissible shear stress Formula

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Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area. Check FAQs

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

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

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

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Here is how the Maximum permissible shear stress for given Radius and modulus of rigidity equation looks like with Values.

Here is how the Maximum permissible shear stress for given Radius and modulus of rigidity equation looks like with Units.

Here is how the Maximum permissible shear stress for given Radius and modulus of rigidity equation looks like.

1364.1921 = \frac{40 \cdot (1.42) \cdot 110}{4.58}

1364.1921MPa = \frac{40GPa \cdot (1.42rad) \cdot 110mm}{4.58m}

1364.1921 = \frac{40 \cdot (1.42) \cdot 110}{4.58}

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

Follow our step by step solution on how to calculate Maximum permissible shear stress for given Radius and modulus of rigidity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ max = \frac{40GPa \cdot (1.42rad) \cdot 110mm}{4.58m}

Next Step Convert Units

∴

τ max = \frac{4E+10Pa \cdot (1.42rad) \cdot 0.11m}{4.58m}

Next Step Prepare to Evaluate

∴

τ max = \frac{4E+10 \cdot (1.42) \cdot 0.11}{4.58}

Next Step Evaluate

∴

τ max = 1364192139.73799Pa

Next Step Convert to Output's Unit

∴

τ max = 1364.19213973799MPa

LAST Step Rounding Answer

∴

τ max = 1364.1921MPa

Maximum permissible shear stress for given Radius and modulus of rigidity Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Maximum Shear Stress

Go Maximum permissible shear stress

τ max = T \cdot \frac{R}{J}

Other formulas in Torsion category

Go Twisting Moment given Maximum Permissible Shear Stress

T = \frac{J \cdot τ max}{R}

Go Radius with known Maximum permissible shear stress

R = τ max \cdot \frac{J}{T}

Go Modulus of rigidity given maximum permissible shear stress

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

Go Twist angle given maximum permissible shear stress

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

How to Evaluate Maximum permissible shear stress for given Radius and modulus of rigidity?

Maximum permissible shear stress for given Radius and modulus of rigidity evaluator uses Maximum Shear Stress = (Modulus of Rigidity*(Angle of Twist)*Radius of Shaft)/Length of Shaft to evaluate the Maximum Shear Stress, Maximum permissible shear stress for given Radius and modulus of rigidity, twist angle, and shaft length formula is defined as the limit up to which the material can withstand shear. Maximum Shear Stress is denoted by τ_max symbol.

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

FAQs on Maximum permissible shear stress for given Radius and modulus of rigidity

What is the formula to find Maximum permissible shear stress for given Radius and modulus of rigidity?

The formula of Maximum permissible shear stress for given Radius and modulus of rigidity is expressed as Maximum Shear Stress = (Modulus of Rigidity*(Angle of Twist)*Radius of Shaft)/Length of Shaft. Here is an example- 0.001364 = (40000000000*(1.42)*0.11)/4.58.

How to calculate Maximum permissible shear stress for given Radius and modulus of rigidity?

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

What are the other ways to Calculate Maximum Shear Stress?

Here are the different ways to Calculate Maximum Shear Stress-

Maximum Shear Stress=Torque*Radius of Shaft/Polar Moment of Inertia

Can the Maximum permissible shear stress for given Radius and modulus of rigidity be negative?

No, the Maximum permissible shear stress for given Radius and modulus of rigidity, measured in Stress cannot be negative.

Which unit is used to measure Maximum permissible shear stress for given Radius and modulus of rigidity?

Maximum permissible shear stress for given Radius and modulus of rigidity is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Maximum permissible shear stress for given Radius and modulus of rigidity can be measured.

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

​GoMaximum permissible shear stress Formula

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

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

Maximum permissible shear stress for given Radius and modulus of rigidity Formula Elements

Other Formulas to find Maximum Shear Stress

Other formulas in Torsion category

How to Evaluate Maximum permissible shear stress for given Radius and modulus of rigidity?

FAQs on Maximum permissible shear stress for given Radius and modulus of rigidity

Variable Name

GoMaximum permissible shear stress Formula