Torsional shear stress in side-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(((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)+((Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))))
τ = (16/(pi*ds^3))*(sqrt(((Mbv^2)+(Mbh^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).
Vertical Bending Moment in Shaft under Flywheel - (Measured in Newton Meter) - Vertical Bending Moment in Shaft under Flywheel is the bending moment in the vertical plane of the part of crankshaft under the flywheel.
Horizontal Bending Moment in Shaft Under Flywheel - (Measured in Newton Meter) - Horizontal Bending Moment in Shaft under Flywheel is the bending moment in the horizontal plane of the part of the crankshaft under the flywheel.
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)
Vertical Bending Moment in Shaft under Flywheel: 25000 Newton Millimeter --> 25 Newton Meter (Check conversion ​here)
Horizontal Bending Moment in Shaft Under Flywheel: 54000 Newton Millimeter --> 54 Newton 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(((Mbv^2)+(Mbh^2)+((Pt*r)^2)))) --> (16/(pi*0.045^3))*(sqrt(((25^2)+(54^2)+((8000*0.08)^2))))
Evaluating ... ...
τ = 35923754.2544924
STEP 3: Convert Result to Output's Unit
35923754.2544924 Pascal -->35.9237542544924 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
35.9237542544924 35.92375 Newton per Square Millimeter <-- Shear Stress in Crankshaft under Flywheel
(Calculation completed in 00.004 seconds)

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

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions
​ Go Total Bending Moment in Crankshaft under Flywheel = (sqrt((((Radial Force at Crank Pin*(Overhang Distance of Piston Force from Bearing1+Side Crankshaft Bearing1 gap from Flywheel))-(Side Crankshaft Bearing1 gap from Flywheel*(Vertical Reaction at Bearing 1 due to Radial Force+Vertical Reaction at Bearing 1 due to Flywheel)))^2)+(((Tangential Force at Crank Pin*(Overhang Distance of Piston Force from Bearing1+Side Crankshaft Bearing1 gap from Flywheel))-(Side Crankshaft Bearing1 gap from Flywheel*(Horizontal Force at Bearing1 by Tangential Force+Horizontal Reaction at Bearing 1 due to Belt)))^2)))
Horizontal Bending Moment at Central Plane of Side Crankshaft below Flywheel at max Torque
​ Go Horizontal Bending Moment in Shaft Under Flywheel = ((Tangential Force at Crank Pin*(Overhang Distance of Piston Force from Bearing1+Side Crankshaft Bearing1 gap from Flywheel))-(Side Crankshaft Bearing1 gap from Flywheel*(Horizontal Force at Bearing1 by Tangential Force+Horizontal Reaction at Bearing 1 due to Belt)))
Vertical bending moment at central plane of side crankshaft below flywheel at max torque
​ Go Vertical Bending Moment in Shaft under Flywheel = ((Radial Force at Crank Pin*(Overhang Distance of Piston Force from Bearing1+Side Crankshaft Bearing1 gap from Flywheel))-(Side Crankshaft Bearing1 gap from Flywheel*(Vertical Reaction at Bearing 1 due to Radial Force+Vertical Reaction at Bearing 1 due to Flywheel)))
Torsional shear stress in side-crankshaft below flywheel for max torque
​ Go Shear Stress in Crankshaft under Flywheel = (16/(pi*Diameter of Shaft under Flywheel^3))*(sqrt(((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)+((Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))))
Diameter of side-crankshaft under flywheel at max torque
​ Go Diameter of Shaft under Flywheel = ((16/(pi*Shear Stress in Crankshaft under Flywheel))*(sqrt((Horizontal Bending Moment in Shaft Under Flywheel^2)+(Vertical Bending Moment in Shaft under Flywheel^2)+(Torsional Moment at Crankshaft Under Flywheel^2))))^(1/3)
Diameter of side crankshaft under flywheel at max torque given moments
​ Go Diameter of Shaft under Flywheel = ((16/(pi*Shear Stress in Crankshaft under Flywheel))*(sqrt((Total Bending Moment in Crankshaft under Flywheel^2)+(Torsional Moment at Crankshaft Under Flywheel^2))))^(1/3)
Torsional shear stress in side-crankshaft below flywheel for max torque given moments
​ Go Shear Stress in Crankshaft under Flywheel = (16/(pi*(Diameter of Shaft under Flywheel^3)))*(sqrt((Total Bending Moment in Crankshaft under Flywheel^2)+(Torsional Moment at Crankshaft Under Flywheel^2)))
Resultant Bending moment at side crankshaft below flywheel at max torque given moments
​ Go Total Bending Moment in Crankshaft under Flywheel = (sqrt((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)))
Torsional moment at central plane of side-crankshaft below flywheel at max torque
​ Go Torsional Moment at Crankshaft Under Flywheel = Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft

Torsional shear stress in side-crankshaft below flywheel for max torque Formula

Shear Stress in Crankshaft under Flywheel = (16/(pi*Diameter of Shaft under Flywheel^3))*(sqrt(((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)+((Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))))
τ = (16/(pi*ds^3))*(sqrt(((Mbv^2)+(Mbh^2)+((Pt*r)^2))))

What is an Engine?

An engine is a machine designed to convert one or more forms of energy into mechanical energy. Mechanical heat engines convert heat into work via various thermodynamic processes. Engines – such as the ones used to run vehicles – can run on a variety of different fuels, most notably gasoline and diesel in the case of cars. The internal combustion engine is perhaps the most common example of a chemical heat engine, in which heat from the combustion of fuel causes rapid pressurization of the gaseous combustion products in the combustion chamber, causing them to expand and drive a piston, which turns a crankshaft.

How to Calculate Torsional shear stress in side-crankshaft below flywheel for max torque?

Torsional shear stress in side-crankshaft below flywheel for max torque calculator uses Shear Stress in Crankshaft under Flywheel = (16/(pi*Diameter of Shaft under Flywheel^3))*(sqrt(((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)+((Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)))) to calculate the Shear Stress in Crankshaft under Flywheel, The torsional shear stress in side-crankshaft below flywheel for max torque is the torsional shear stress induced in the crankshaft portion under the flywheel, as a result of the torsional moment onto the crankshaft, when the side crankshaft is designed for the maximum torsional moment. Shear Stress in Crankshaft under Flywheel is denoted by τ symbol.

How to calculate Torsional shear stress in side-crankshaft below flywheel for max torque using this online calculator? To use this online calculator for Torsional shear stress in side-crankshaft below flywheel for max torque, enter Diameter of Shaft under Flywheel (ds), Vertical Bending Moment in Shaft under Flywheel (Mbv), Horizontal Bending Moment in Shaft Under Flywheel (Mbh), Tangential Force at Crank Pin (Pt) & Distance Between Crank Pin and Crankshaft (r) and hit the calculate button. Here is how the Torsional shear stress in side-crankshaft below flywheel for max torque calculation can be explained with given input values -> 3.6E-5 = (16/(pi*0.045^3))*(sqrt(((25^2)+(54^2)+((8000*0.08)^2)))).

FAQ

What is Torsional shear stress in side-crankshaft below flywheel for max torque?
The torsional shear stress in side-crankshaft below flywheel for max torque is the torsional shear stress induced in the crankshaft portion under the flywheel, as a result of the torsional moment onto the crankshaft, when the side crankshaft is designed for the maximum torsional moment and is represented as τ = (16/(pi*ds^3))*(sqrt(((Mbv^2)+(Mbh^2)+((Pt*r)^2)))) or Shear Stress in Crankshaft under Flywheel = (16/(pi*Diameter of Shaft under Flywheel^3))*(sqrt(((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under 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), Vertical Bending Moment in Shaft under Flywheel is the bending moment in the vertical plane of the part of crankshaft under the flywheel, Horizontal Bending Moment in Shaft under Flywheel is the bending moment in the horizontal plane of the part of the crankshaft under the flywheel, 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 Torsional shear stress in side-crankshaft below flywheel for max torque?
The torsional shear stress in side-crankshaft below flywheel for max torque is the torsional shear stress induced in the crankshaft portion under the flywheel, as a result of the torsional moment onto the crankshaft, when the side 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(((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)+((Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)))). To calculate Torsional shear stress in side-crankshaft below flywheel for max torque, you need Diameter of Shaft under Flywheel (ds), Vertical Bending Moment in Shaft under Flywheel (Mbv), Horizontal Bending Moment in Shaft Under Flywheel (Mbh), 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, Vertical Bending Moment in Shaft under Flywheel, Horizontal Bending Moment in Shaft Under 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, Vertical Bending Moment in Shaft under Flywheel, Horizontal Bending Moment in Shaft Under 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((Total Bending Moment in Crankshaft under Flywheel^2)+(Torsional Moment at Crankshaft Under Flywheel^2)))
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