Shear stress in centre crankshaft below flywheel for max torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress in Crankshaft under Flywheel = ((16/(pi*Diameter of Shaft under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing 3*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))
τ = ((16/(pi*ds^3))*sqrt((R3*c2)^2+(Pt*r)^2))
This formula uses 1 Constants, 1 Functions, 6 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 Crankshaft under Flywheel - (Measured in Pascal) - Shear Stress in Crankshaft under Flywheel is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the crankshaft part under flywheel.
Diameter of Shaft under Flywheel - (Measured in Meter) - Diameter of Shaft under Flywheel is the diameter, of the part of the crankshaft under the flywheel, the distance across the shaft that passes through the center of the shaft is 2R (twice the radius).
Resultant Reaction on CrankShaft Bearing 3 - (Measured in Newton) - Resultant Reaction on CrankShaft Bearing 3 is the total reaction force on the 3rd bearing of the crankshaft.
Centre Crankshaft Bearing3 Gap from Flywheel - (Measured in Meter) - Centre Crankshaft Bearing3 Gap from Flywheel is the distance between the 3rd bearing of a centre crankshaft and the line of action of flywheel weight.
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.
Distance Between Crank Pin and Crankshaft - (Measured in Meter) - Distance between crank pin and crankshaft is the perpendicular distance between the crank pin and the crankshaft.
STEP 1: Convert Input(s) to Base Unit
Diameter of Shaft under Flywheel: 45 Millimeter --> 0.045 Meter (Check conversion here)
Resultant Reaction on CrankShaft Bearing 3: 1200 Newton --> 1200 Newton No Conversion Required
Centre Crankshaft Bearing3 Gap from Flywheel: 200 Millimeter --> 0.2 Meter (Check conversion here)
Tangential Force at Crank Pin: 8000 Newton --> 8000 Newton No Conversion Required
Distance Between Crank Pin and Crankshaft: 80 Millimeter --> 0.08 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = ((16/(pi*ds^3))*sqrt((R3*c2)^2+(Pt*r)^2)) --> ((16/(pi*0.045^3))*sqrt((1200*0.2)^2+(8000*0.08)^2))
Evaluating ... ...
τ = 38201813.9966986
STEP 3: Convert Result to Output's Unit
38201813.9966986 Pascal -->38.2018139966986 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
38.2018139966986 38.20181 Newton per Square Millimeter <-- Shear Stress in Crankshaft under Flywheel
(Calculation completed in 00.004 seconds)

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6 Design of Shaft Under Flywheel at Angle of Maximum Torque Calculators

Diameter of centre crankshaft under flywheel at max torque
Go Diameter of Shaft under Flywheel = ((16/(pi*Shear Stress in Crankshaft under Flywheel))*sqrt((Resultant Reaction on CrankShaft Bearing 3*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))^(1/3)
Shear stress in centre crankshaft below flywheel for max torque
Go Shear Stress in Crankshaft under Flywheel = ((16/(pi*Diameter of Shaft under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing 3*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))
Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment
Go Diameter of Shaft under Flywheel = ((16/(pi*Shear Stress in Crankshaft under Flywheel))*sqrt((Bending Moment at Crankshaft Under Flywheel)^2+(Torsional Moment at Crankshaft Under Flywheel)^2))^(1/3)
Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment
Go Shear Stress in Crankshaft under Flywheel = ((16/(pi*Diameter of Shaft under Flywheel^3))*sqrt((Bending Moment at Crankshaft Under Flywheel)^2+(Torsional Moment at Crankshaft Under Flywheel)^2))
Bending moment at central plane of centre crankshaft below flywheel at max torque
Go Bending Moment at Crankshaft Under Flywheel = Resultant Reaction on CrankShaft Bearing 3*Centre Crankshaft Bearing3 Gap from Flywheel
Torsional moment at central plane of centre crankshaft below flywheel at max torque
Go Torsional Moment at Crankshaft Under Flywheel = Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft

Shear stress in centre crankshaft below flywheel for max torque Formula

Shear Stress in Crankshaft under Flywheel = ((16/(pi*Diameter of Shaft under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing 3*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))
τ = ((16/(pi*ds^3))*sqrt((R3*c2)^2+(Pt*r)^2))

What is shear stress?

Shear stress is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. It is the component of stress coplanar with a material cross-section. It arises from the shear force, the component of the force vector parallel to the material cross section.

What is Bending Moment?

Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Shear stress in centre crankshaft below flywheel for max torque?

Shear stress in centre crankshaft below flywheel for max torque calculator uses Shear Stress in Crankshaft under Flywheel = ((16/(pi*Diameter of Shaft under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing 3*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)) to calculate the Shear Stress in Crankshaft under Flywheel, Shear stress in centre crankshaft below flywheel for max torque is the shear stress-induced in the crankshaft portion under the flywheel, as a result of the bending and torsional moments onto the crankshaft, when the center crankshaft is designed for the maximum torsional moment. Shear Stress in Crankshaft under Flywheel is denoted by τ symbol.

How to calculate Shear stress in centre crankshaft below flywheel for max torque using this online calculator? To use this online calculator for Shear stress in centre crankshaft below flywheel for max torque, enter Diameter of Shaft under Flywheel (ds), Resultant Reaction on CrankShaft Bearing 3 (R3), Centre Crankshaft Bearing3 Gap from Flywheel (c2), Tangential Force at Crank Pin (Pt) & Distance Between Crank Pin and Crankshaft (r) and hit the calculate button. Here is how the Shear stress in centre crankshaft below flywheel for max torque calculation can be explained with given input values -> 3.8E-5 = ((16/(pi*0.045^3))*sqrt((1200*0.2)^2+(8000*0.08)^2)).

FAQ

What is Shear stress in centre crankshaft below flywheel for max torque?
Shear stress in centre crankshaft below flywheel for max torque is the shear stress-induced in the crankshaft portion under the flywheel, as a result of the bending and torsional moments onto the crankshaft, when the center crankshaft is designed for the maximum torsional moment and is represented as τ = ((16/(pi*ds^3))*sqrt((R3*c2)^2+(Pt*r)^2)) or Shear Stress in Crankshaft under Flywheel = ((16/(pi*Diameter of Shaft under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing 3*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)). Diameter of Shaft under Flywheel is the diameter, of the part of the crankshaft under the flywheel, the distance across the shaft that passes through the center of the shaft is 2R (twice the radius), Resultant Reaction on CrankShaft Bearing 3 is the total reaction force on the 3rd bearing of the crankshaft, Centre Crankshaft Bearing3 Gap from Flywheel is the distance between the 3rd bearing of a centre crankshaft and the line of action of flywheel weight, 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 & Distance between crank pin and crankshaft is the perpendicular distance between the crank pin and the crankshaft.
How to calculate Shear stress in centre crankshaft below flywheel for max torque?
Shear stress in centre crankshaft below flywheel for max torque is the shear stress-induced in the crankshaft portion under the flywheel, as a result of the bending and torsional moments onto the crankshaft, when the center crankshaft is designed for the maximum torsional moment is calculated using Shear Stress in Crankshaft under Flywheel = ((16/(pi*Diameter of Shaft under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing 3*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)). To calculate Shear stress in centre crankshaft below flywheel for max torque, you need Diameter of Shaft under Flywheel (ds), Resultant Reaction on CrankShaft Bearing 3 (R3), Centre Crankshaft Bearing3 Gap from Flywheel (c2), Tangential Force at Crank Pin (Pt) & Distance Between Crank Pin and Crankshaft (r). With our tool, you need to enter the respective value for Diameter of Shaft under Flywheel, Resultant Reaction on CrankShaft Bearing 3, Centre Crankshaft Bearing3 Gap from Flywheel, Tangential Force at Crank Pin & Distance Between Crank Pin and Crankshaft 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 Crankshaft under Flywheel?
In this formula, Shear Stress in Crankshaft under Flywheel uses Diameter of Shaft under Flywheel, Resultant Reaction on CrankShaft Bearing 3, Centre Crankshaft Bearing3 Gap from Flywheel, Tangential Force at Crank Pin & Distance Between Crank Pin and Crankshaft. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Shear Stress in Crankshaft under Flywheel = ((16/(pi*Diameter of Shaft under Flywheel^3))*sqrt((Bending Moment at Crankshaft Under Flywheel)^2+(Torsional Moment at Crankshaft Under Flywheel)^2))
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