Bending Moment In Vertical Plane Of Side Crankshaft At TDC Position Below Flywheel Due To Flywheel Calculator

Formula Used:

\[ M_v = (P_{cr} \times (c_1 + b)) - (c_1 \times (R_1 + R'_1)) \]

Force on Connecting Rod (P_cr):

Side Crankshaft Bearing1 Gap From Flywheel (c₁):

Overhang Distance of Piston Force From Bearing1 (b):

Vertical Reaction at Bearing 1 Due to Crankpin (R₁):

Vertical Reaction at Bearing 1 Due to Flywheel (R'₁):

Vertical Bending Moment in Shaft Under Flywheel (M_v):

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1. What is Vertical Bending Moment in Shaft Under Flywheel?

The vertical bending moment in the shaft under the flywheel represents the bending effect in the vertical plane on the crankshaft section located beneath the flywheel. It is a critical parameter in crankshaft design and analysis, particularly at the top dead center (TDC) position.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M_v = (P_{cr} \times (c_1 + b)) - (c_1 \times (R_1 + R'_1)) \]

Where:

\( M_v \) — Vertical bending moment in shaft under flywheel (N·m)
\( P_{cr} \) — Force on connecting rod (N)
\( c_1 \) — Side crankshaft bearing1 gap from flywheel (m)
\( b \) — Overhang distance of piston force from bearing1 (m)
\( R_1 \) — Vertical reaction at bearing 1 due to crankpin (N)
\( R'_1 \) — Vertical reaction at bearing 1 due to flywheel (N)

Explanation: This formula calculates the net bending moment by considering the moment created by the connecting rod force and subtracting the moments from the vertical reactions at the bearing.

3. Importance of Bending Moment Calculation

Details: Accurate calculation of bending moments is crucial for crankshaft design, stress analysis, fatigue life prediction, and ensuring structural integrity under operational loads.

4. Using the Calculator

Tips: Enter all values in appropriate units (Newtons for forces, meters for distances). Ensure all input values are positive and physically meaningful for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the TDC position in this calculation?
A: The top dead center position represents the maximum stress condition where bending moments are typically highest due to combustion forces.

Q2: How does flywheel weight affect the bending moment?
A: The flywheel weight creates additional vertical reaction forces that counteract some of the bending moment from the connecting rod force.

Q3: What are typical values for these parameters in automotive engines?
A: Values vary significantly by engine size and design, with connecting rod forces ranging from几千 to tens of thousands of Newtons in typical automotive applications.

Q4: How is this calculation used in crankshaft design?
A: Engineers use bending moment calculations to determine required shaft dimensions, select appropriate materials, and verify fatigue safety factors.

Q5: Are there limitations to this formula?
A: This formula provides a simplified static analysis and may need to be combined with dynamic analysis and finite element methods for comprehensive crankshaft design.