Vertical bending moment at central plane of side crankshaft below flywheel at max torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Mbv = ((Pr*(b+c1))-(c1*(R1v+R'1v)))
This formula uses 6 Variables
Variables Used
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.
Radial Force at Crank Pin - (Measured in Newton) - Radial Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction radially to the connecting rod.
Overhang Distance of Piston Force from Bearing1 - (Measured in Meter) - Overhang Distance of Piston Force from Bearing1 is the distance between the 1st bearing and the line of action of piston force onto the crank pin, useful in load calculation on side crankshaft.
Side Crankshaft Bearing1 gap from Flywheel - (Measured in Meter) - Side Crankshaft Bearing1 gap from Flywheel is the distance of 1st bearing of side crankshaft from the line of application of flywheel weight or from the flywheel center.
Vertical Reaction at Bearing 1 due to Radial Force - (Measured in Newton) - Vertical Reaction at Bearing 1 due to Radial Force is the vertical reaction force on the 1st bearing of the crankshaft because of the radial component of thrust force acting on connecting rod.
Vertical Reaction at Bearing 1 due to Flywheel - (Measured in Newton) - Vertical Reaction at Bearing 1 due to Flywheel Weight is the vertical reaction force acting on the 1st bearing of the crankshaft because of the weight of the flywheel.
STEP 1: Convert Input(s) to Base Unit
Radial Force at Crank Pin: 21500 Newton --> 21500 Newton No Conversion Required
Overhang Distance of Piston Force from Bearing1: 300 Millimeter --> 0.3 Meter (Check conversion here)
Side Crankshaft Bearing1 gap from Flywheel: 205 Millimeter --> 0.205 Meter (Check conversion here)
Vertical Reaction at Bearing 1 due to Radial Force: 5100 Newton --> 5100 Newton No Conversion Required
Vertical Reaction at Bearing 1 due to Flywheel: 2300 Newton --> 2300 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mbv = ((Pr*(b+c1))-(c1*(R1v+R'1v))) --> ((21500*(0.3+0.205))-(0.205*(5100+2300)))
Evaluating ... ...
Mbv = 9340.5
STEP 3: Convert Result to Output's Unit
9340.5 Newton Meter -->9340500 Newton Millimeter (Check conversion here)
FINAL ANSWER
9340500 9.3E+6 Newton Millimeter <-- Vertical Bending Moment in Shaft under Flywheel
(Calculation completed in 00.020 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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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

Vertical bending moment at central plane of side crankshaft below flywheel at max torque Formula

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)))
Mbv = ((Pr*(b+c1))-(c1*(R1v+R'1v)))

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An external combustion engine (EC engine) is a heat engine where an internal working fluid is heated by combustion of an external source, through the engine wall or a heat exchanger. The fluid then, by expanding and acting on the mechanism of the engine produces motion and usable work. The fluid is then cooled, compressed, and reused (closed cycle), or (less commonly) dumped, and cool fluid pulled in (open cycle air engine).

How to Calculate Vertical bending moment at central plane of side crankshaft below flywheel at max torque?

Vertical bending moment at central plane of side crankshaft below flywheel at max torque calculator uses 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))) to calculate the Vertical Bending Moment in Shaft under Flywheel, The vertical bending moment at central plane of side crankshaft below flywheel at max torque is the amount of bending moment in the vertical plane of the part of the side crankshaft below the flywheel, designed for when the crank is at maximum torque position and subjected to maximum torsional moment. Vertical Bending Moment in Shaft under Flywheel is denoted by Mbv symbol.

How to calculate Vertical bending moment at central plane of side crankshaft below flywheel at max torque using this online calculator? To use this online calculator for Vertical bending moment at central plane of side crankshaft below flywheel at max torque, enter Radial Force at Crank Pin (Pr), Overhang Distance of Piston Force from Bearing1 (b), Side Crankshaft Bearing1 gap from Flywheel (c1), Vertical Reaction at Bearing 1 due to Radial Force (R1v) & Vertical Reaction at Bearing 1 due to Flywheel (R'1v) and hit the calculate button. Here is how the Vertical bending moment at central plane of side crankshaft below flywheel at max torque calculation can be explained with given input values -> 9.3E+9 = ((21500*(0.3+0.205))-(0.205*(5100+2300))).

FAQ

What is Vertical bending moment at central plane of side crankshaft below flywheel at max torque?
The vertical bending moment at central plane of side crankshaft below flywheel at max torque is the amount of bending moment in the vertical plane of the part of the side crankshaft below the flywheel, designed for when the crank is at maximum torque position and subjected to maximum torsional moment and is represented as Mbv = ((Pr*(b+c1))-(c1*(R1v+R'1v))) or 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))). Radial Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction radially to the connecting rod, Overhang Distance of Piston Force from Bearing1 is the distance between the 1st bearing and the line of action of piston force onto the crank pin, useful in load calculation on side crankshaft, Side Crankshaft Bearing1 gap from Flywheel is the distance of 1st bearing of side crankshaft from the line of application of flywheel weight or from the flywheel center, Vertical Reaction at Bearing 1 due to Radial Force is the vertical reaction force on the 1st bearing of the crankshaft because of the radial component of thrust force acting on connecting rod & Vertical Reaction at Bearing 1 due to Flywheel Weight is the vertical reaction force acting on the 1st bearing of the crankshaft because of the weight of the flywheel.
How to calculate Vertical bending moment at central plane of side crankshaft below flywheel at max torque?
The vertical bending moment at central plane of side crankshaft below flywheel at max torque is the amount of bending moment in the vertical plane of the part of the side crankshaft below the flywheel, designed for when the crank is at maximum torque position and subjected to maximum torsional moment is calculated using 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))). To calculate Vertical bending moment at central plane of side crankshaft below flywheel at max torque, you need Radial Force at Crank Pin (Pr), Overhang Distance of Piston Force from Bearing1 (b), Side Crankshaft Bearing1 gap from Flywheel (c1), Vertical Reaction at Bearing 1 due to Radial Force (R1v) & Vertical Reaction at Bearing 1 due to Flywheel (R'1v). With our tool, you need to enter the respective value for Radial Force at Crank Pin, Overhang Distance of Piston Force from Bearing1, Side Crankshaft Bearing1 gap from Flywheel, Vertical Reaction at Bearing 1 due to Radial Force & Vertical Reaction at Bearing 1 due to Flywheel 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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