Vertical Bending Moment At Central Plane Of Side Crankshaft Below Flywheel At Max Torque Calculator

Formula Used:

\[ M_{bv} = (P_r \times (b + c_1)) - (c_1 \times (R_{1v} + R'_{1v})) \]

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):

Vertical Bending Moment in Shaft Under Flywheel (Mbv):

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

The vertical bending moment in the shaft under the flywheel is a critical mechanical engineering parameter that represents the bending effect in the vertical plane on the part of the crankshaft located beneath the flywheel. This measurement is essential for assessing the structural integrity and stress distribution in crankshaft design.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ M_{bv} = (P_r \times (b + c_1)) - (c_1 \times (R_{1v} + R'_{1v})) \]

Where:

\( M_{bv} \) — Vertical bending moment in shaft under flywheel (N·m)
\( P_r \) — Radial force at crank pin (N)
\( b \) — Overhang distance of piston force from bearing1 (m)
\( c_1 \) — Side crankshaft bearing1 gap from flywheel (m)
\( R_{1v} \) — Vertical reaction at bearing 1 due to radial force (N)
\( R'_{1v} \) — Vertical reaction at bearing 1 due to flywheel (N)

Explanation: This formula calculates the net bending moment by considering both the force applied at the crank pin and the reactive forces at the bearing, accounting for their respective distances from the point of interest.

3. Importance of Vertical Bending Moment Calculation

Details: Accurate calculation of vertical bending moment is crucial for crankshaft design, ensuring proper material selection, fatigue life estimation, and structural safety. It helps engineers determine appropriate dimensions and verify that stress levels remain within acceptable limits under maximum torque conditions.

4. Using the Calculator

Tips: Enter all values in appropriate units (N for forces, m for distances). Ensure all inputs are positive values. The calculator will compute the vertical bending moment at the central plane of the side crankshaft below the flywheel under maximum torque conditions.

5. Frequently Asked Questions (FAQ)

Q1: Why is the vertical bending moment important in crankshaft design?
A: It helps determine the stress distribution and ensures the crankshaft can withstand operational loads without failure, particularly during maximum torque conditions.

Q2: What factors influence the vertical bending moment?
A: The radial force at the crank pin, geometry of the crankshaft (distances b and c1), and the reactive forces at the bearings all contribute to the bending moment.

Q3: How does flywheel weight affect the calculation?
A: The flywheel weight creates additional vertical reaction forces at the bearing (R'1v), which must be accounted for in the bending moment calculation.

Q4: When is this calculation most critical?
A: This calculation is particularly important during engine design phase and when analyzing crankshaft performance under maximum torque conditions.

Q5: Are there limitations to this formula?
A: This formula provides a simplified calculation and may need to be combined with other analyses (such as torsional and horizontal bending moments) for a complete crankshaft assessment.