Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Mbr = (sqrt((((Pr*(b+c1))-(c1*(R1v+R'1v)))^2)+(((Pt*(b+c1))-(c1*(R1h+R'1h)))^2)))
This formula uses 1 Functions, 9 Variables
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
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.
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.
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.
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.
Horizontal Reaction at Bearing 1 due to Belt - (Measured in Newton) - Horizontal Reaction at Bearing 1 due to Belt Tension is the horizontal reaction force acting on the 1st bearing of the crankshaft because of the belt tensions.
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
Tangential Force at Crank Pin: 8000 Newton --> 8000 Newton No Conversion Required
Horizontal Force at Bearing1 by Tangential Force: 6000 Newton --> 6000 Newton No Conversion Required
Horizontal Reaction at Bearing 1 due to Belt: 2500 Newton --> 2500 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mbr = (sqrt((((Pr*(b+c1))-(c1*(R1v+R'1v)))^2)+(((Pt*(b+c1))-(c1*(R1h+R'1h)))^2))) --> (sqrt((((21500*(0.3+0.205))-(0.205*(5100+2300)))^2)+(((8000*(0.3+0.205))-(0.205*(6000+2500)))^2)))
Evaluating ... ...
Mbr = 9618.91087909645
STEP 3: Convert Result to Output's Unit
9618.91087909645 Newton Meter -->9618910.87909645 Newton Millimeter (Check conversion here)
FINAL ANSWER
9618910.87909645 9.6E+6 Newton Millimeter <-- Total Bending Moment in Crankshaft under Flywheel
(Calculation completed in 00.020 seconds)

Credits

Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
Saurabh Patil has created this Calculator and 700+ more calculators!
Verified by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has verified this Calculator and 300+ more calculators!

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

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Formula

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)))
Mbr = (sqrt((((Pr*(b+c1))-(c1*(R1v+R'1v)))^2)+(((Pt*(b+c1))-(c1*(R1h+R'1h)))^2)))

External Combustion Engines

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 Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions?

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions calculator uses 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))) to calculate the Total Bending Moment in Crankshaft under Flywheel, Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions is the total amount of bending moment in the part of the side crankshaft under the flywheel, resultant of the bending moments in the horizontal and vertical plane, designed for when the crank is at the maximum torque position and subjected to maximum torsional moment. Total Bending Moment in Crankshaft under Flywheel is denoted by Mbr symbol.

How to calculate Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions using this online calculator? To use this online calculator for Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions, 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), Tangential Force at Crank Pin (Pt), Horizontal Force at Bearing1 by Tangential Force (R1h) & Horizontal Reaction at Bearing 1 due to Belt (R'1h) and hit the calculate button. Here is how the Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions calculation can be explained with given input values -> 9.6E+9 = (sqrt((((21500*(0.3+0.205))-(0.205*(5100+2300)))^2)+(((8000*(0.3+0.205))-(0.205*(6000+2500)))^2))).

FAQ

What is Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions?
Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions is the total amount of bending moment in the part of the side crankshaft under the flywheel, resultant of the bending moments in the horizontal and vertical plane, designed for when the crank is at the maximum torque position and subjected to maximum torsional moment and is represented as Mbr = (sqrt((((Pr*(b+c1))-(c1*(R1v+R'1v)))^2)+(((Pt*(b+c1))-(c1*(R1h+R'1h)))^2))) or 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))). 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, 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, 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 & Horizontal Reaction at Bearing 1 due to Belt Tension is the horizontal reaction force acting on the 1st bearing of the crankshaft because of the belt tensions.
How to calculate Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions?
Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions is the total amount of bending moment in the part of the side crankshaft under the flywheel, resultant of the bending moments in the horizontal and vertical plane, designed for when the crank is at the maximum torque position and subjected to maximum torsional moment is calculated using 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))). To calculate Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions, 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), Tangential Force at Crank Pin (Pt), Horizontal Force at Bearing1 by Tangential Force (R1h) & Horizontal Reaction at Bearing 1 due to Belt (R'1h). 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, Tangential Force at Crank Pin, Horizontal Force at Bearing1 by Tangential Force & Horizontal Reaction at Bearing 1 due to Belt 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 Total Bending Moment in Crankshaft under Flywheel?
In this formula, Total Bending Moment in Crankshaft under Flywheel uses 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, Tangential Force at Crank Pin, Horizontal Force at Bearing1 by Tangential Force & Horizontal Reaction at Bearing 1 due to Belt. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Bending Moment in Crankshaft under Flywheel = (sqrt((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!