Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3)
ds1 = ((16/(pi*τ))*sqrt((Mb^2)+(Mt^2)))^(1/3)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diameter of Crankshaft at Crankweb Joint - (Measured in Meter) - Diameter of Crankshaft at Crankweb Joint is the diameter of the crankshaft at the juncture of the crank web and the crankshaft.
Shear Stress in Shaft at Crankweb Joint - (Measured in Pascal) - Shear Stress in Shaft at Crankweb Joint is the amount of shear stress (causes deformation by slip along plane parallel to imposed stress) in the crankshaft at the juncture of crankweb.
Resultant Bending Moment at Crankweb Joint - (Measured in Newton Meter) - Resultant Bending Moment at Crankweb Joint is the resultant of bending moments in the horizontal & vertical plane of the crankshaft at the juncture of the crank web.
Torsional Moment at Crankweb Joint - (Measured in Newton Meter) - Torsional Moment at Crankweb Joint is the torsional moment in the crankshaft at the juncture of crank web and crankshaft.
STEP 1: Convert Input(s) to Base Unit
Shear Stress in Shaft at Crankweb Joint: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
Resultant Bending Moment at Crankweb Joint: 170000 Newton Millimeter --> 170 Newton Meter (Check conversion here)
Torsional Moment at Crankweb Joint: 930000 Newton Millimeter --> 930 Newton Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ds1 = ((16/(pi*τ))*sqrt((Mb^2)+(Mt^2)))^(1/3) --> ((16/(pi*50000000))*sqrt((170^2)+(930^2)))^(1/3)
Evaluating ... ...
ds1 = 0.0458360052251899
STEP 3: Convert Result to Output's Unit
0.0458360052251899 Meter -->45.8360052251899 Millimeter (Check conversion here)
FINAL ANSWER
45.8360052251899 45.83601 Millimeter <-- Diameter of Crankshaft at Crankweb Joint
(Calculation completed in 00.004 seconds)

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7 Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque Calculators

Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque
Go Horizontal BendingMoment at Right Crankweb Joint = (Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Tangential Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2)))
Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque
Go Vertical Bending Moment at Crankweb Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2)))
Diameter of centre crankshaft at juncture of right crankweb for max torque given moments
Go Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3)
Shear stress in centre crankshaft at juncture of right crankweb for maximum torque
Go Shear Stress in Shaft at Crankweb Joint = (16/(pi*Diameter of Crankshaft at Crankweb Joint^3))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2))
Diameter of centre crankshaft at juncture of right crankweb for max torque given crankweb moment
Go Diameter of Crankshaft at Crankweb Joint = 2*((Distance Between Crank Pin and Crankshaft)-(Bending Moment in Crankweb due to Tangential Force/Tangential Force at Crank Pin))
Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque
Go Resultant Bending Moment at Crankweb Joint = sqrt((Vertical Bending Moment at Crankweb Joint^2)+(Horizontal BendingMoment at Right Crankweb Joint^2))
Torsional moment in centre crankshaft at juncture of right crankweb for maximum torque
Go Torsional Moment at Crankweb Joint = Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft

Diameter of centre crankshaft at juncture of right crankweb for max torque given moments Formula

Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3)
ds1 = ((16/(pi*τ))*sqrt((Mb^2)+(Mt^2)))^(1/3)

What is a crank arm or crank web?

The crank arm is also known as web or crank web. The Crank web is one of the most important parts of a crankshaft. The main purpose of a crank arm or crank web is to connect the crankshaft to the main bearing journals. A crank web is positioned opposite to the crank pin.

How to Calculate Diameter of centre crankshaft at juncture of right crankweb for max torque given moments?

Diameter of centre crankshaft at juncture of right crankweb for max torque given moments calculator uses Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3) to calculate the Diameter of Crankshaft at Crankweb Joint, Diameter of centre crankshaft at juncture of right crankweb for max torque given moments is the diameter of the centre crankshaft at the juncture of the right crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment. Diameter of Crankshaft at Crankweb Joint is denoted by ds1 symbol.

How to calculate Diameter of centre crankshaft at juncture of right crankweb for max torque given moments using this online calculator? To use this online calculator for Diameter of centre crankshaft at juncture of right crankweb for max torque given moments, enter Shear Stress in Shaft at Crankweb Joint (τ), Resultant Bending Moment at Crankweb Joint (Mb) & Torsional Moment at Crankweb Joint (Mt) and hit the calculate button. Here is how the Diameter of centre crankshaft at juncture of right crankweb for max torque given moments calculation can be explained with given input values -> 45836.01 = ((16/(pi*50000000))*sqrt((170^2)+(930^2)))^(1/3).

FAQ

What is Diameter of centre crankshaft at juncture of right crankweb for max torque given moments?
Diameter of centre crankshaft at juncture of right crankweb for max torque given moments is the diameter of the centre crankshaft at the juncture of the right crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment and is represented as ds1 = ((16/(pi*τ))*sqrt((Mb^2)+(Mt^2)))^(1/3) or Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3). Shear Stress in Shaft at Crankweb Joint is the amount of shear stress (causes deformation by slip along plane parallel to imposed stress) in the crankshaft at the juncture of crankweb, Resultant Bending Moment at Crankweb Joint is the resultant of bending moments in the horizontal & vertical plane of the crankshaft at the juncture of the crank web & Torsional Moment at Crankweb Joint is the torsional moment in the crankshaft at the juncture of crank web and crankshaft.
How to calculate Diameter of centre crankshaft at juncture of right crankweb for max torque given moments?
Diameter of centre crankshaft at juncture of right crankweb for max torque given moments is the diameter of the centre crankshaft at the juncture of the right crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment is calculated using Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3). To calculate Diameter of centre crankshaft at juncture of right crankweb for max torque given moments, you need Shear Stress in Shaft at Crankweb Joint (τ), Resultant Bending Moment at Crankweb Joint (Mb) & Torsional Moment at Crankweb Joint (Mt). With our tool, you need to enter the respective value for Shear Stress in Shaft at Crankweb Joint, Resultant Bending Moment at Crankweb Joint & Torsional Moment at Crankweb Joint and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diameter of Crankshaft at Crankweb Joint?
In this formula, Diameter of Crankshaft at Crankweb Joint uses Shear Stress in Shaft at Crankweb Joint, Resultant Bending Moment at Crankweb Joint & Torsional Moment at Crankweb Joint. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Crankshaft at Crankweb Joint = 2*((Distance Between Crank Pin and Crankshaft)-(Bending Moment in Crankweb due to Tangential Force/Tangential Force at Crank Pin))
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