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

✖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.ⓘ Radial Force at Crank Pin [P_r]			+10% -10%
✖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.ⓘ Overhang Distance of Piston Force From Bearing1 [b]			+10% -10%
✖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.ⓘ Side Crankshaft Bearing1 Gap From Flywheel [c₁]			+10% -10%
✖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 Radial Force [R1_v]			+10% -10%
✖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.ⓘ Vertical Reaction at Bearing 1 Due to Flywheel [R'₁v]			+10% -10%
✖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.ⓘ Tangential Force at Crank Pin [P_t]			+10% -10%
✖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 Force at Bearing1 By Tangential Force [R1_h]			+10% -10%
✖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.ⓘ Horizontal Reaction at Bearing 1 Due to Belt [R'₁h]			+10% -10%

✖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.ⓘ Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions [M_br]

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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)))
M_br = (sqrt((((P_r*(b+c₁))-(c₁*(R1_v+R'₁v)))^2)+(((P_t*(b+c₁))-(c₁*(R1_h+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: 3118.1 Newton --> 3118.1 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: 3613.665 Newton --> 3613.665 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

M_br = (sqrt((((P_r*(b+c₁))-(c₁*(R1_v+R'₁v)))^2)+(((P_t*(b+c₁))-(c₁*(R1_h+R'₁h)))^2))) --> (sqrt((((3118.1*(0.3+0.205))-(0.205*(5100+2300)))^2)+(((3613.665*(0.3+0.205))-(0.205*(6000+2500)))^2)))

Evaluating ... ...

M_br = 100.560047737313

STEP 3: Convert Result to Output's Unit

100.560047737313 Newton Meter -->100560.047737313 Newton Millimeter (Check conversion here)

FINAL ANSWER

100560.047737313 ≈ 100560 Newton Millimeter <-- Total Bending Moment in Crankshaft Under Flywheel

(Calculation completed in 00.020 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Side Crankshaft » Mechanical » Design of Shaft Under Flywheel at Angle of Maximum Torque » Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions

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

Horizontal Bending Moment at Central Plane of Side Crankshaft below Flywheel at max Torque

LaTeX 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

LaTeX 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

LaTeX 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)

Resultant Bending moment at side crankshaft below flywheel at max torque given moments

LaTeX 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)

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

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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 M_br 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 (P_r), Overhang Distance of Piston Force From Bearing1 (b), Side Crankshaft Bearing1 Gap From Flywheel (c₁), Vertical Reaction at Bearing 1 Due to Radial Force (R1_v), Vertical Reaction at Bearing 1 Due to Flywheel (R'₁v), Tangential Force at Crank Pin (P_t), Horizontal Force at Bearing1 By Tangential Force (R1_h) & 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 -> 9.3E+9 = (sqrt((((3118.1*(0.3+0.205))-(0.205*(5100+2300)))^2)+(((3613.665*(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 M_br = (sqrt((((P_r*(b+c₁))-(c₁*(R1_v+R'₁v)))^2)+(((P_t*(b+c₁))-(c₁*(R1_h+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 (P_r), Overhang Distance of Piston Force From Bearing1 (b), Side Crankshaft Bearing1 Gap From Flywheel (c₁), Vertical Reaction at Bearing 1 Due to Radial Force (R1_v), Vertical Reaction at Bearing 1 Due to Flywheel (R'₁v), Tangential Force at Crank Pin (P_t), Horizontal Force at Bearing1 By Tangential Force (R1_h) & 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)

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