Resultant Bending Moment in centre crankshaft at TDC position below flywheel Calculator

✖Vertical Reaction at Bearing 3 due to Flywheel Weight is the vertical reaction force acting on the 3rd bearing of the crankshaft because of the weight of the flywheel.ⓘ Vertical Reaction at Bearing 3 due to Flywheel [R'₃V]			+10% -10%
✖Centre Crankshaft Bearing3 Gap from Flywheel is the distance between the 3rd bearing of a centre crankshaft and the line of action of flywheel weight.ⓘ Centre Crankshaft Bearing3 Gap from Flywheel [c₂]			+10% -10%
✖Horizontal Reaction at Bearing 3 due to Belt Tension is the horizontal reaction force acting on the 3rd bearing of the crankshaft because of the belt tensions.ⓘ Horizontal Reaction at Bearing 3 due to Belt [R'₃H]			+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 in centre crankshaft at TDC position below flywheel [M_br]

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Resultant Bending Moment in centre crankshaft at TDC position below flywheel

Formula

`("M"_{"b"}"r") = sqrt((("R'"_{"3"}"V")*"c"_{"2"})^2+(("R'"_{"3"}"H")*"c"_{"2"})^2)`

Example

`"223606.8N*mm"=sqrt(("500N"*"200mm")^2+("1000N"*"200mm")^2)`

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Resultant Bending Moment in centre crankshaft at TDC position below flywheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Bending Moment in Crankshaft under Flywheel = sqrt((Vertical Reaction at Bearing 3 due to Flywheel*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Horizontal Reaction at Bearing 3 due to Belt*Centre Crankshaft Bearing3 Gap from Flywheel)^2)
M_br = sqrt((R'₃V*c₂)^2+(R'₃H*c₂)^2)
This formula uses 1 Functions, 4 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.
Vertical Reaction at Bearing 3 due to Flywheel - (Measured in Newton) - Vertical Reaction at Bearing 3 due to Flywheel Weight is the vertical reaction force acting on the 3rd bearing of the crankshaft because of the weight of the flywheel.
Centre Crankshaft Bearing3 Gap from Flywheel - (Measured in Meter) - Centre Crankshaft Bearing3 Gap from Flywheel is the distance between the 3rd bearing of a centre crankshaft and the line of action of flywheel weight.
Horizontal Reaction at Bearing 3 due to Belt - (Measured in Newton) - Horizontal Reaction at Bearing 3 due to Belt Tension is the horizontal reaction force acting on the 3rd bearing of the crankshaft because of the belt tensions.

STEP 1: Convert Input(s) to Base Unit

Vertical Reaction at Bearing 3 due to Flywheel: 500 Newton --> 500 Newton No Conversion Required
Centre Crankshaft Bearing3 Gap from Flywheel: 200 Millimeter --> 0.2 Meter (Check conversion here)
Horizontal Reaction at Bearing 3 due to Belt: 1000 Newton --> 1000 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_br = sqrt((R'₃V*c₂)^2+(R'₃H*c₂)^2) --> sqrt((500*0.2)^2+(1000*0.2)^2)

Evaluating ... ...

M_br = 223.606797749979

STEP 3: Convert Result to Output's Unit

223.606797749979 Newton Meter -->223606.797749979 Newton Millimeter (Check conversion here)

FINAL ANSWER

223606.797749979 ≈ 223606.8 Newton Millimeter <-- Total Bending Moment in Crankshaft under Flywheel

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Centre Crankshaft » Design of Shaft Under Flywheel at Top Dead Centre Position » Resultant Bending Moment in centre crankshaft at TDC position below flywheel

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< 8 Design of Shaft Under Flywheel at Top Dead Centre Position Calculators

Resultant Bending Moment in centre crankshaft at TDC position below flywheel

Go Total Bending Moment in Crankshaft under Flywheel = sqrt((Vertical Reaction at Bearing 3 due to Flywheel*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Horizontal Reaction at Bearing 3 due to Belt*Centre Crankshaft Bearing3 Gap from Flywheel)^2)

Gap of Bearing 3 from Flywheel of centre crankshaft at TDC position

Go Centre Crankshaft Bearing3 Gap from Flywheel = (Vertical Reaction at Bearing 2 due to Flywheel*Gap Between Bearing 2&3 of Centre Crankshaft)/Weight of Flywheel

Gap of Bearing 2 from Flywheel of centre crankshaft at TDC position

Go Centre Crankshaft Bearing2 Gap from Flywheel = (Vertical Reaction at Bearing 3 due to Flywheel*Gap Between Bearing 2&3 of Centre Crankshaft)/Weight of Flywheel

Diameter of part of centre crankshaft under flywheel at TDC position

Go Diameter of Shaft under Flywheel = ((32*Total Bending Moment in Crankshaft under Flywheel)/(pi*Bending Stress in Shaft Under Flywheel))^(1/3)

Resultant Bending Moment in centre crankshaft at TDC position below flywheel given shaft diameter

Go Total Bending Moment in Crankshaft under Flywheel = (pi*Diameter of Shaft under Flywheel^3* Bending Stress in Shaft Under Flywheel)/32

Bending stress in centre crankshaft at TDC position below flywheel given shaft diameter

Go Bending Stress in Shaft Under Flywheel = (32*Total Bending Moment in Crankshaft under Flywheel)/(pi*Diameter of Shaft under Flywheel^3)

Bending Moment in vertical plane of centre crankshaft below flywheel at TDC due to flywheel weight

Go Bending Moment at Crankshaft Under Flywheel = Vertical Reaction at Bearing 3 due to Flywheel*Centre Crankshaft Bearing3 Gap from Flywheel

Bending Moment in horizantal plane of centre crankshaft below flywheel at TDC due to belt tension

Go Bending Moment at Crankshaft Under Flywheel = Horizontal Reaction at Bearing 3 due to Belt*Centre Crankshaft Bearing3 Gap from Flywheel

Resultant Bending Moment in centre crankshaft at TDC position below flywheel Formula

Functions of a flywheel

Flywheel, heavy wheel attached to a rotating shaft so as to smooth out the delivery of power from a motor to a machine. The inertia of the flywheel opposes and moderates fluctuations in the speed of the engine and stores the excess energy for intermittent use. To oppose speed fluctuations effectively, a flywheel is given high rotational inertia; i.e., most of its weight is well out from the axis. The energy stored in a flywheel, however, depends on both the weight distribution and the rotary speed; if the speed is doubled, the kinetic energy is quadrupled. For minimum weight and high energy-storing capacity, a flywheel may be made of high-strength steel and designed as a tapered disk, thick at the center and thin at the rim

Engine Stroke

Stroke means the displacement of the piston inside the cylinder. One complete travel of the piston from TDC to BDC and vice versa in a vertical engine is one stroke of the piston. The distance traveled by the piston from TDC to BDC (in a vertical engine) and from crank end to cover end (in a horizontal engine) is called stroke length. TDC —Top dead centre. BDC —Bottom dead centre.

How to Calculate Resultant Bending Moment in centre crankshaft at TDC position below flywheel?

Resultant Bending Moment in centre crankshaft at TDC position below flywheel calculator uses Total Bending Moment in Crankshaft under Flywheel = sqrt((Vertical Reaction at Bearing 3 due to Flywheel*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Horizontal Reaction at Bearing 3 due to Belt*Centre Crankshaft Bearing3 Gap from Flywheel)^2) to calculate the Total Bending Moment in Crankshaft under Flywheel, Resultant Bending Moment in centre crankshaft at TDC position below flywheel is the total amount of bending moment in the part of the crankshaft under the flywheel, resultant of the bending moments in the horizontal and vertical plane, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment. Total Bending Moment in Crankshaft under Flywheel is denoted by M_br symbol.

How to calculate Resultant Bending Moment in centre crankshaft at TDC position below flywheel using this online calculator? To use this online calculator for Resultant Bending Moment in centre crankshaft at TDC position below flywheel, enter Vertical Reaction at Bearing 3 due to Flywheel (R'₃V), Centre Crankshaft Bearing3 Gap from Flywheel (c₂) & Horizontal Reaction at Bearing 3 due to Belt (R'₃H) and hit the calculate button. Here is how the Resultant Bending Moment in centre crankshaft at TDC position below flywheel calculation can be explained with given input values -> 2.2E+8 = sqrt((500*0.2)^2+(1000*0.2)^2).

FAQ

What is Resultant Bending Moment in centre crankshaft at TDC position below flywheel?

Resultant Bending Moment in centre crankshaft at TDC position below flywheel is the total amount of bending moment in the part of the crankshaft under the flywheel, resultant of the bending moments in the horizontal and vertical plane, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment and is represented as M_br = sqrt((R'₃V*c₂)^2+(R'₃H*c₂)^2) or Total Bending Moment in Crankshaft under Flywheel = sqrt((Vertical Reaction at Bearing 3 due to Flywheel*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Horizontal Reaction at Bearing 3 due to Belt*Centre Crankshaft Bearing3 Gap from Flywheel)^2). Vertical Reaction at Bearing 3 due to Flywheel Weight is the vertical reaction force acting on the 3rd bearing of the crankshaft because of the weight of the flywheel, Centre Crankshaft Bearing3 Gap from Flywheel is the distance between the 3rd bearing of a centre crankshaft and the line of action of flywheel weight & Horizontal Reaction at Bearing 3 due to Belt Tension is the horizontal reaction force acting on the 3rd bearing of the crankshaft because of the belt tensions.

How to calculate Resultant Bending Moment in centre crankshaft at TDC position below flywheel?

Resultant Bending Moment in centre crankshaft at TDC position below flywheel is the total amount of bending moment in the part of the crankshaft under the flywheel, resultant of the bending moments in the horizontal and vertical plane, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment is calculated using Total Bending Moment in Crankshaft under Flywheel = sqrt((Vertical Reaction at Bearing 3 due to Flywheel*Centre Crankshaft Bearing3 Gap from Flywheel)^2+(Horizontal Reaction at Bearing 3 due to Belt*Centre Crankshaft Bearing3 Gap from Flywheel)^2). To calculate Resultant Bending Moment in centre crankshaft at TDC position below flywheel, you need Vertical Reaction at Bearing 3 due to Flywheel (R'₃V), Centre Crankshaft Bearing3 Gap from Flywheel (c₂) & Horizontal Reaction at Bearing 3 due to Belt (R'₃H). With our tool, you need to enter the respective value for Vertical Reaction at Bearing 3 due to Flywheel, Centre Crankshaft Bearing3 Gap from Flywheel & Horizontal Reaction at Bearing 3 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 Vertical Reaction at Bearing 3 due to Flywheel, Centre Crankshaft Bearing3 Gap from Flywheel & Horizontal Reaction at Bearing 3 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 = (pi*Diameter of Shaft under Flywheel^3* Bending Stress in Shaft Under Flywheel)/32

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