Diameter of side crankshaft under flywheel at max torque given moments Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
ds = ((16/(pi*τ))* (sqrt((Mbr^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 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).
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.
Total Bending Moment in Crankshaft under Flywheel - (Measured in Newton Meter) - Total Bending Moment in Crankshaft under Flywheel is the total amount of bending moment in the part of the crankshaft under the flywheel, due to bending moments in the horizontal and vertical plane.
Torsional Moment at Crankshaft Under Flywheel - (Measured in Newton Meter) - Torsional Moment at Crankshaft Under Flywheel is the torsional moment induced at central plane of crankshaft below flywheel when an external twisting force is applied to crankshaft.
STEP 1: Convert Input(s) to Base Unit
Shear Stress in Crankshaft under Flywheel: 15 Newton per Square Millimeter --> 15000000 Pascal (Check conversion here)
Total Bending Moment in Crankshaft under Flywheel: 100540 Newton Millimeter --> 100.54 Newton Meter (Check conversion here)
Torsional Moment at Crankshaft Under Flywheel: 84000 Newton Millimeter --> 84 Newton Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ds = ((16/(pi*τ))* (sqrt((Mbr^2)+(Mt^2))))^(1/3) --> ((16/(pi*15000000))* (sqrt((100.54^2)+(84^2))))^(1/3)
Evaluating ... ...
ds = 0.0354321302945055
STEP 3: Convert Result to Output's Unit
0.0354321302945055 Meter -->35.4321302945055 Millimeter (Check conversion here)
FINAL ANSWER
35.4321302945055 35.43213 Millimeter <-- Diameter of Shaft 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

Diameter of side crankshaft under flywheel at max torque given moments Formula

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)
ds = ((16/(pi*τ))* (sqrt((Mbr^2)+(Mt^2))))^(1/3)

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 Diameter of side crankshaft under flywheel at max torque given moments?

Diameter of side crankshaft under flywheel at max torque given moments calculator uses 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) to calculate the Diameter of Shaft under Flywheel, The diameter of side crankshaft under flywheel at max torque given moments is the diameter of the crankshaft portion under the flywheel when the side crankshaft is designed for the maximum torsional moment. Diameter of Shaft under Flywheel is denoted by ds symbol.

How to calculate Diameter of side crankshaft under flywheel at max torque given moments using this online calculator? To use this online calculator for Diameter of side crankshaft under flywheel at max torque given moments, enter Shear Stress in Crankshaft under Flywheel (τ), Total Bending Moment in Crankshaft under Flywheel (Mbr) & Torsional Moment at Crankshaft Under Flywheel (Mt) and hit the calculate button. Here is how the Diameter of side crankshaft under flywheel at max torque given moments calculation can be explained with given input values -> 35432.13 = ((16/(pi*15000000))* (sqrt((100.54^2)+(84^2))))^(1/3).

FAQ

What is Diameter of side crankshaft under flywheel at max torque given moments?
The diameter of side crankshaft under flywheel at max torque given moments is the diameter of the crankshaft portion under the flywheel when the side crankshaft is designed for the maximum torsional moment and is represented as ds = ((16/(pi*τ))* (sqrt((Mbr^2)+(Mt^2))))^(1/3) or 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). 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, Total Bending Moment in Crankshaft under Flywheel is the total amount of bending moment in the part of the crankshaft under the flywheel, due to bending moments in the horizontal and vertical plane & Torsional Moment at Crankshaft Under Flywheel is the torsional moment induced at central plane of crankshaft below flywheel when an external twisting force is applied to crankshaft.
How to calculate Diameter of side crankshaft under flywheel at max torque given moments?
The diameter of side crankshaft under flywheel at max torque given moments is the diameter of the crankshaft portion under the flywheel when the side crankshaft is designed for the maximum torsional moment is calculated using 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). To calculate Diameter of side crankshaft under flywheel at max torque given moments, you need Shear Stress in Crankshaft under Flywheel (τ), Total Bending Moment in Crankshaft under Flywheel (Mbr) & Torsional Moment at Crankshaft Under Flywheel (Mt). With our tool, you need to enter the respective value for Shear Stress in Crankshaft under Flywheel, Total Bending Moment in Crankshaft under Flywheel & Torsional Moment at Crankshaft Under Flywheel 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 Shaft under Flywheel?
In this formula, Diameter of Shaft under Flywheel uses Shear Stress in Crankshaft under Flywheel, Total Bending Moment in Crankshaft under Flywheel & Torsional Moment at Crankshaft Under Flywheel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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