Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress in Crankweb = 4.5/(Width of Crank Web*Thickness of Crank Web^2)*((Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+Length of Crank Pin/2))-(Tangential Force at Crank Pin*Length of Crank Pin/2))
T = 4.5/(w*t^2)*((Rh1*(b1+lc/2))-(Pt*lc/2))
This formula uses 7 Variables
Variables Used
Shear Stress in Crankweb - (Measured in Pascal) - Shear Stress in Crankweb is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) in the crankweb.
Width of Crank Web - (Measured in Meter) - Width of Crank Web is defined as the width of the crank web (the portion of a crank between the crankpin and the shaft) measured perpendicular to the crankpin longitudinal axis.
Thickness of Crank Web - (Measured in Meter) - Thickness of Crank Web is defined as the thickness of the crank web (the portion of a crank between the crankpin and the shaft) measured parallel to the crankpin longitudinal axis.
Horizontal Force at Bearing1 by Tangential Force - (Measured in Newton) - Horizontal Force at Bearing1 by Tangential Force is the horizontal reaction force on the 1st bearing of crankshaft because of the tangential component of thrust force acting on connecting rod.
Centre Crankshaft Bearing1 Gap from CrankPinCentre - (Measured in Meter) - Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre crankshaft and the line of action of force on the crank pin.
Length of Crank Pin - (Measured in Meter) - Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin.
Tangential Force at Crank Pin - (Measured in Newton) - Tangential Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction tangential to the connecting rod.
STEP 1: Convert Input(s) to Base Unit
Width of Crank Web: 65 Millimeter --> 0.065 Meter (Check conversion ​here)
Thickness of Crank Web: 40 Millimeter --> 0.04 Meter (Check conversion ​here)
Horizontal Force at Bearing1 by Tangential Force: 3443.57 Newton --> 3443.57 Newton No Conversion Required
Centre Crankshaft Bearing1 Gap from CrankPinCentre: 155 Millimeter --> 0.155 Meter (Check conversion ​here)
Length of Crank Pin: 42 Millimeter --> 0.042 Meter (Check conversion ​here)
Tangential Force at Crank Pin: 8000 Newton --> 8000 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = 4.5/(w*t^2)*((Rh1*(b1+lc/2))-(Pt*lc/2)) --> 4.5/(0.065*0.04^2)*((3443.57*(0.155+0.042/2))-(8000*0.042/2))
Evaluating ... ...
T = 18954879.2307692
STEP 3: Convert Result to Output's Unit
18954879.2307692 Pascal -->18.9548792307692 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
18.9548792307692 18.95488 Newton per Square Millimeter <-- Shear Stress in Crankweb
(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 Crank Web at Angle of Maximum Torque Calculators

Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque
​ LaTeX ​ Go Bending Moment in Crankweb Due to Radial Force = Vertical Reaction at Bearing 2 Due to Radial Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-Length of Crank Pin/2-Thickness of Crank Web/2)
Bending moment in crankweb of centre crankshaft due to tangential thrust for maximum torque
​ LaTeX ​ Go Bending Moment in Crankweb Due to Tangential Force = Tangential Force at Crank Pin*(Distance Between Crank Pin And Crankshaft-Diameter of Crankshaft at Crankweb Joint/2)
Bending moment in crankweb of centre crankshaft due to tangential thrust for max torque given stress
​ LaTeX ​ Go Bending Moment in Crankweb Due to Tangential Force = (Bending Stress in Crankweb Due to Tangential Force*Thickness of Crank Web*Width of Crank Web^2)/6
Bending moment in crankweb of centre crankshaft due to radial thrust for max torque given stress
​ LaTeX ​ Go Bending Moment in Crankweb Due to Radial Force = (Bending Stress in Crankweb Due to Radial Force*Width of Crank Web*Thickness of Crank Web^2)/6

Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1 Formula

​LaTeX ​Go
Shear Stress in Crankweb = 4.5/(Width of Crank Web*Thickness of Crank Web^2)*((Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+Length of Crank Pin/2))-(Tangential Force at Crank Pin*Length of Crank Pin/2))
T = 4.5/(w*t^2)*((Rh1*(b1+lc/2))-(Pt*lc/2))

Stresses in Right hand Crankweb

The right-hand crank web is subjected to the following stresses:
(i) Bending stresses in the vertical and horizontal planes due to radial component and tangential component respectively.
(ii) Direct compressive stress due to radial component Pr.
(iii) Torsional shear stresses.

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.

How to Calculate Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1?

Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1 calculator uses Shear Stress in Crankweb = 4.5/(Width of Crank Web*Thickness of Crank Web^2)*((Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+Length of Crank Pin/2))-(Tangential Force at Crank Pin*Length of Crank Pin/2)) to calculate the Shear Stress in Crankweb, Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1 is the shear stress-induced into the crankweb which tends to deform the crankweb and when the centre crankshaft is designed for the maximum torsional moment. Shear Stress in Crankweb is denoted by T symbol.

How to calculate Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1 using this online calculator? To use this online calculator for Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1, enter Width of Crank Web (w), Thickness of Crank Web (t), Horizontal Force at Bearing1 by Tangential Force (Rh1), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b1), Length of Crank Pin (lc) & Tangential Force at Crank Pin (Pt) and hit the calculate button. Here is how the Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1 calculation can be explained with given input values -> 1.9E-5 = 4.5/(0.065*0.04^2)*((3443.57*(0.155+0.042/2))-(8000*0.042/2)).

FAQ

What is Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1?
Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1 is the shear stress-induced into the crankweb which tends to deform the crankweb and when the centre crankshaft is designed for the maximum torsional moment and is represented as T = 4.5/(w*t^2)*((Rh1*(b1+lc/2))-(Pt*lc/2)) or Shear Stress in Crankweb = 4.5/(Width of Crank Web*Thickness of Crank Web^2)*((Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+Length of Crank Pin/2))-(Tangential Force at Crank Pin*Length of Crank Pin/2)). Width of Crank Web is defined as the width of the crank web (the portion of a crank between the crankpin and the shaft) measured perpendicular to the crankpin longitudinal axis, Thickness of Crank Web is defined as the thickness of the crank web (the portion of a crank between the crankpin and the shaft) measured parallel to the crankpin longitudinal axis, Horizontal Force at Bearing1 by Tangential Force is the horizontal reaction force on the 1st bearing of crankshaft because of the tangential component of thrust force acting on connecting rod, Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre crankshaft and the line of action of force on the crank pin, Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin & Tangential Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction tangential to the connecting rod.
How to calculate Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1?
Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1 is the shear stress-induced into the crankweb which tends to deform the crankweb and when the centre crankshaft is designed for the maximum torsional moment is calculated using Shear Stress in Crankweb = 4.5/(Width of Crank Web*Thickness of Crank Web^2)*((Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+Length of Crank Pin/2))-(Tangential Force at Crank Pin*Length of Crank Pin/2)). To calculate Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1, you need Width of Crank Web (w), Thickness of Crank Web (t), Horizontal Force at Bearing1 by Tangential Force (Rh1), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b1), Length of Crank Pin (lc) & Tangential Force at Crank Pin (Pt). With our tool, you need to enter the respective value for Width of Crank Web, Thickness of Crank Web, Horizontal Force at Bearing1 by Tangential Force, Centre Crankshaft Bearing1 Gap from CrankPinCentre, Length of Crank Pin & Tangential Force at Crank Pin 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 Shear Stress in Crankweb?
In this formula, Shear Stress in Crankweb uses Width of Crank Web, Thickness of Crank Web, Horizontal Force at Bearing1 by Tangential Force, Centre Crankshaft Bearing1 Gap from CrankPinCentre, Length of Crank Pin & Tangential Force at Crank Pin. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Shear Stress in Crankweb = (4.5*Torsional Moment in Crankweb)/(Width of Crank Web*Thickness of Crank Web^2)
  • Shear Stress in Crankweb = Torsional Moment in Crankweb/Polar Section Modulus of Crankweb
  • Shear Stress in Crankweb = 4.5/(Width of Crank Web*Thickness of Crank Web^2)*(Horizontal Force at Bearing2 by Tangential Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-Length of Crank Pin/2))
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