Diameter of Shaft at Left End Formula

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The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power. Check FAQs
ds=16τ𝜏π
ds - Diameter of Shaft?τ - Torque Exerted on Wheel?𝜏 - Shear stress on surface of shaft?π - Archimedes' constant?

Diameter of Shaft at Left End Example

With values
With units
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Here is how the Diameter of Shaft at Left End equation looks like with Values.

Here is how the Diameter of Shaft at Left End equation looks like with Units.

Here is how the Diameter of Shaft at Left End equation looks like.

63661.9772Edit=1650Edit4E-6Edit3.1416
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Diameter of Shaft at Left End Solution

Follow our step by step solution on how to calculate Diameter of Shaft at Left End?

FIRST Step Consider the formula
ds=16τ𝜏π
Next Step Substitute values of Variables
ds=1650N*m4E-6MPaπ
Next Step Substitute values of Constants
ds=1650N*m4E-6MPa3.1416
Next Step Convert Units
ds=1650N*m4Pa3.1416
Next Step Prepare to Evaluate
ds=165043.1416
Next Step Evaluate
ds=63.6619772367581m
Next Step Convert to Output's Unit
ds=63661.9772367581mm
LAST Step Rounding Answer
ds=63661.9772mm

Diameter of Shaft at Left End Formula Elements

Variables
Constants
Diameter of Shaft
The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
Symbol: ds
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Torque Exerted on Wheel
Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
Symbol: τ
Measurement: TorqueUnit: N*m
Note: Value should be greater than 0.
Shear stress on surface of shaft
Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Symbol: 𝜏
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
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 in Torsion of Tapering Shafts category

​Go Torque on Tapering Shaft
τ=𝜏πds16
​Go Shear Stress on Left Surface of Shaft
𝜏=16τπds
​Go Total Angle of Twist for Shaft
θ=32τL(1D13-1D23)πG(D2-D1)
​Go Torque on Shaft given Total Angle of Twist for Shaft
τ=θπG(D2-D1)32L(1D13-1D23)

How to Evaluate Diameter of Shaft at Left End?

Diameter of Shaft at Left End evaluator uses Diameter of Shaft = (16*Torque Exerted on Wheel)/(Shear stress on surface of shaft*pi) to evaluate the Diameter of Shaft, Diameter of shaft at left end is a chord that runs through center point of circle. It is longest possible chord of any circle. Diameter of Shaft is denoted by ds symbol.

How to evaluate Diameter of Shaft at Left End using this online evaluator? To use this online evaluator for Diameter of Shaft at Left End, enter Torque Exerted on Wheel (τ) & Shear stress on surface of shaft (𝜏) and hit the calculate button.

FAQs on Diameter of Shaft at Left End

What is the formula to find Diameter of Shaft at Left End?
The formula of Diameter of Shaft at Left End is expressed as Diameter of Shaft = (16*Torque Exerted on Wheel)/(Shear stress on surface of shaft*pi). Here is an example- 6.4E+7 = (16*50)/(4*pi).
How to calculate Diameter of Shaft at Left End?
With Torque Exerted on Wheel (τ) & Shear stress on surface of shaft (𝜏) we can find Diameter of Shaft at Left End using the formula - Diameter of Shaft = (16*Torque Exerted on Wheel)/(Shear stress on surface of shaft*pi). This formula also uses Archimedes' constant .
Can the Diameter of Shaft at Left End be negative?
No, the Diameter of Shaft at Left End, measured in Length cannot be negative.
Which unit is used to measure Diameter of Shaft at Left End?
Diameter of Shaft at Left End is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Shaft at Left End can be measured.
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