Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
τ = (16/(pi*ds1^3))*sqrt((Mb^2)+(Mt^2))
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
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.
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.
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
Diameter of Crankshaft at Crankweb Joint: 60 Millimeter --> 0.06 Meter (Check conversion ​here)
Resultant Bending Moment at Crankweb Joint: 854 Newton Meter --> 854 Newton Meter No Conversion Required
Torsional Moment at Crankweb Joint: 640 Newton Meter --> 640 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = (16/(pi*ds1^3))*sqrt((Mb^2)+(Mt^2)) --> (16/(pi*0.06^3))*sqrt((854^2)+(640^2))
Evaluating ... ...
τ = 25162987.7330853
STEP 3: Convert Result to Output's Unit
25162987.7330853 Pascal -->25.1629877330853 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
25.1629877330853 25.16299 Newton per Square Millimeter <-- Shear Stress in Shaft at Crankweb Joint
(Calculation completed in 00.004 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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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
​ LaTeX ​ Go Horizontal Bending Moment at Right Crank web Joint = Horizontal Force at Bearing 1 by Tangential Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2))-Tangential Force on 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
​ LaTeX ​ Go Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(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
​ LaTeX ​ 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)
Torsional moment in centre crankshaft at juncture of right crankweb for maximum torque
​ LaTeX ​ Go Torsional Moment at Crankweb Joint = Tangential Force on Crank Pin*Distance Between Crank Pin and Crankshaft

Shear stress in centre crankshaft at juncture of right crankweb for maximum torque Formula

​LaTeX ​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))
τ = (16/(pi*ds1^3))*sqrt((Mb^2)+(Mt^2))

What is Shear Stress?

When an external force acts on an object, It undergoes deformation. If the direction of the force is parallel to the plane of the object. The deformation will be along that plane. The stress experienced by the object here is shear stress or tangential stress.

What is Torsional Shear Stress?

Torsional shear stress or Torsional stress is the shear stress produced in the shaft due to the twisting. This twisting in the shaft is caused by the couple acting on it. Torsion occurs when two forces of similar value are applied in opposite directions, causing torque.

How to Calculate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque?

Shear stress in centre crankshaft at juncture of right crankweb for maximum torque calculator uses 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)) to calculate the Shear Stress in Shaft at Crankweb Joint, Shear stress in centre crankshaft at juncture of right crankweb for maximum torque is the amount of shear stress in the centre crankshaft at the juncture of the right crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment. Shear Stress in Shaft at Crankweb Joint is denoted by τ symbol.

How to calculate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque using this online calculator? To use this online calculator for Shear stress in centre crankshaft at juncture of right crankweb for maximum torque, enter Diameter of Crankshaft at Crankweb Joint (ds1), Resultant Bending Moment at Crankweb Joint (Mb) & Torsional Moment at Crankweb Joint (Mt) and hit the calculate button. Here is how the Shear stress in centre crankshaft at juncture of right crankweb for maximum torque calculation can be explained with given input values -> 2.5E-5 = (16/(pi*0.06^3))*sqrt((854^2)+(640^2)).

FAQ

What is Shear stress in centre crankshaft at juncture of right crankweb for maximum torque?
Shear stress in centre crankshaft at juncture of right crankweb for maximum torque is the amount of shear stress in 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 τ = (16/(pi*ds1^3))*sqrt((Mb^2)+(Mt^2)) or 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 Crankshaft at Crankweb Joint is the diameter of the crankshaft at the juncture of the crank web and the crankshaft, 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 Shear stress in centre crankshaft at juncture of right crankweb for maximum torque?
Shear stress in centre crankshaft at juncture of right crankweb for maximum torque is the amount of shear stress in 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 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)). To calculate Shear stress in centre crankshaft at juncture of right crankweb for maximum torque, you need Diameter of Crankshaft at Crankweb Joint (ds1), Resultant Bending Moment at Crankweb Joint (Mb) & Torsional Moment at Crankweb Joint (Mt). With our tool, you need to enter the respective value for Diameter of Crankshaft 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.
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