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

STEP 0: Pre-Calculation Summary
Formula Used
Bending Moment at Crankshaft Under Flywheel = sqrt((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2))
Mb = sqrt((Mbv^2)+(Mbh^2))
This formula uses 1 Functions, 3 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
Bending Moment at Crankshaft Under Flywheel - (Measured in Newton Meter) - Bending Moment at Crankshaft Under Flywheel is the bending moment at the central plane of the crankshaft when an external force or moment is applied to the crankshaft causing it to bend.
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.
Horizontal Bending Moment in Shaft Under Flywheel - (Measured in Newton Meter) - Horizontal Bending Moment in Shaft under Flywheel is the bending moment in the horizontal plane of the part of the crankshaft under the flywheel.
STEP 1: Convert Input(s) to Base Unit
Vertical Bending Moment in Shaft under Flywheel: 25000 Newton Millimeter --> 25 Newton Meter (Check conversion here)
Horizontal Bending Moment in Shaft Under Flywheel: 54000 Newton Millimeter --> 54 Newton Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mb = sqrt((Mbv^2)+(Mbh^2)) --> sqrt((25^2)+(54^2))
Evaluating ... ...
Mb = 59.5063021872474
STEP 3: Convert Result to Output's Unit
59.5063021872474 Newton Meter -->59506.3021872474 Newton Millimeter (Check conversion here)
FINAL ANSWER
59506.3021872474 59506.3 Newton Millimeter <-- Bending Moment at Crankshaft Under Flywheel
(Calculation completed in 00.004 seconds)

Credits

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

Bending Moment in vertical plane of side crankshaft at TDC position below flywheel due to flywheel
Go Vertical Bending Moment in Shaft under Flywheel = (Force on Connecting Rod*(Side Crankshaft Bearing1 gap from Flywheel+Overhang Distance of Piston Force from Bearing1))-(Side Crankshaft Bearing1 gap from Flywheel*(Vertical Reaction at Bearing 1 due to Crankpin+Vertical Reaction at Bearing 1 due to Flywheel))
Gap of Bearing 2 from Flywheel of side crankshaft at TDC position
Go Side Crankshaft Bearing2 gap from Flywheel = (Distance Between Bearing1&2 of Side Crankshaft*Vertical Reaction at Bearing 1 due to Flywheel)/Weight of Flywheel
Gap of Bearing 1 from Flywheel of side crankshaft at TDC position
Go Side Crankshaft Bearing1 gap from Flywheel = (Vertical Reaction at Bearing 2 due to Flywheel*Distance Between Bearing1&2 of Side Crankshaft)/Weight of Flywheel
Resultant Bending Moment in side crankshaft at TDC position below flywheel
Go Bending Moment at Crankshaft Under Flywheel = sqrt((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2))
Diameter of part of side crankshaft under flywheel at TDC position
Go Diameter of Shaft under Flywheel = ((32*Bending Moment at Crankshaft Under Flywheel)/(pi*Bending Stress in Shaft Under Flywheel))^(1/3)
Resultant Bending Moment in side crankshaft at TDC position below flywheel given shaft diameter
Go Bending Moment at Crankshaft Under Flywheel = (pi*(Diameter of Shaft under Flywheel^3)*Bending Stress in Shaft Under Flywheel)/32
Resultant Bending stress in side crankshaft at TDC position below flywheel given bending moment
Go Bending Stress in Shaft Under Flywheel = (32*Bending Moment at Crankshaft Under Flywheel)/(pi*Diameter of Shaft under Flywheel^3)
Bending Moment in horizontal plane of side crankshaft at TDC position below flywheel due to flywheel
Go Horizontal Bending Moment in Shaft Under Flywheel = Horizontal Reaction at Bearing 1 due to Belt*Side Crankshaft Bearing1 gap from Flywheel

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

Bending Moment at Crankshaft Under Flywheel = sqrt((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2))
Mb = sqrt((Mbv^2)+(Mbh^2))

Requirements of a Piston Pin

1. The pin must have sufficient strength and flexibility to withstand the load without damage. 2. It requires high surface hardness to achieve favorable wear behavior.
3. These pins must achieve high surface quality and size accuracy for optimum fit with their sliding parts, piston, and connecting rod.
4. To keep the inertia forces to a minimum, these pins must have a low weight.
5. The rigidity of the pin should match the design of the piston, so as to avoid overloading the piston.
6. Despite from above, the pin construction should be as simple and thus economical as possible.

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

Resultant Bending Moment in side crankshaft at TDC position below flywheel calculator uses Bending Moment at Crankshaft Under Flywheel = sqrt((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)) to calculate the Bending Moment at Crankshaft Under Flywheel, Resultant Bending Moment in side crankshaft at TDC position below flywheel is the total amount of bending moment in the part of the side crankshaft under the flywheel as a result of moments in the horizontal and the vertical plane, designed for when the crank is at the top dead center position. Bending Moment at Crankshaft Under Flywheel is denoted by Mb symbol.

How to calculate Resultant Bending Moment in side crankshaft at TDC position below flywheel using this online calculator? To use this online calculator for Resultant Bending Moment in side crankshaft at TDC position below flywheel, enter Vertical Bending Moment in Shaft under Flywheel (Mbv) & Horizontal Bending Moment in Shaft Under Flywheel (Mbh) and hit the calculate button. Here is how the Resultant Bending Moment in side crankshaft at TDC position below flywheel calculation can be explained with given input values -> 6E+7 = sqrt((25^2)+(54^2)).

FAQ

What is Resultant Bending Moment in side crankshaft at TDC position below flywheel?
Resultant Bending Moment in side crankshaft at TDC position below flywheel is the total amount of bending moment in the part of the side crankshaft under the flywheel as a result of moments in the horizontal and the vertical plane, designed for when the crank is at the top dead center position and is represented as Mb = sqrt((Mbv^2)+(Mbh^2)) or Bending Moment at Crankshaft Under Flywheel = sqrt((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)). Vertical Bending Moment in Shaft under Flywheel is the bending moment in the vertical plane of the part of crankshaft under the flywheel & Horizontal Bending Moment in Shaft under Flywheel is the bending moment in the horizontal plane of the part of the crankshaft under the flywheel.
How to calculate Resultant Bending Moment in side crankshaft at TDC position below flywheel?
Resultant Bending Moment in side crankshaft at TDC position below flywheel is the total amount of bending moment in the part of the side crankshaft under the flywheel as a result of moments in the horizontal and the vertical plane, designed for when the crank is at the top dead center position is calculated using Bending Moment at Crankshaft Under Flywheel = sqrt((Vertical Bending Moment in Shaft under Flywheel^2)+(Horizontal Bending Moment in Shaft Under Flywheel^2)). To calculate Resultant Bending Moment in side crankshaft at TDC position below flywheel, you need Vertical Bending Moment in Shaft under Flywheel (Mbv) & Horizontal Bending Moment in Shaft Under Flywheel (Mbh). With our tool, you need to enter the respective value for Vertical Bending Moment in Shaft under Flywheel & Horizontal Bending Moment in Shaft 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 Bending Moment at Crankshaft Under Flywheel?
In this formula, Bending Moment at Crankshaft Under Flywheel uses Vertical Bending Moment in Shaft under Flywheel & Horizontal Bending Moment in Shaft Under Flywheel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bending Moment at Crankshaft Under Flywheel = (pi*(Diameter of Shaft under Flywheel^3)*Bending Stress in Shaft Under Flywheel)/32
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