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

Formula Used:

\[ M_{bh} = (P_t \times (b + c_1)) - (c_1 \times (R_{1h} + R'_{1h})) \]

Tangential Force at Crank Pin (P_t):

Overhang Distance of Piston Force From Bearing1 (b):

Side Crankshaft Bearing1 Gap From Flywheel (c_1):

Horizontal Force at Bearing1 By Tangential Force (R_{1h}):

Horizontal Reaction at Bearing 1 Due to Belt (R'_{1h}):

Horizontal Bending Moment in Shaft Under Flywheel (M_bh):

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1. What is Horizontal Bending Moment in Shaft Under 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. It represents the internal moment that resists the horizontal bending forces acting on the crankshaft.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M_{bh} = (P_t \times (b + c_1)) - (c_1 \times (R_{1h} + R'_{1h})) \]

Where:

\( M_{bh} \) — Horizontal Bending Moment in Shaft under Flywheel (N·m)
\( P_t \) — Tangential Force at Crank Pin (N)
\( b \) — Overhang Distance of Piston Force From Bearing1 (m)
\( c_1 \) — Side Crankshaft Bearing1 Gap From Flywheel (m)
\( R_{1h} \) — Horizontal Force at Bearing1 By Tangential Force (N)
\( R'_{1h} \) — Horizontal Reaction at Bearing 1 Due to Belt (N)

Explanation: This formula calculates the horizontal bending moment by considering the tangential force at the crank pin and the horizontal reactions at the bearing, accounting for their respective distances from the flywheel.

3. Importance of Horizontal Bending Moment Calculation

Details: Accurate calculation of horizontal bending moment is crucial for crankshaft design and analysis. It helps determine the stress distribution and ensures the crankshaft can withstand operational loads without failure.

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 horizontal bending moment in Newton-meters (N·m).

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of tangential force at crank pin?
A: Tangential force at crank pin is the component of thrust force that acts tangentially to the connecting rod, contributing to the rotational motion and bending moments in the crankshaft.

Q2: How does overhang distance affect the bending moment?
A: Larger overhang distances increase the moment arm, resulting in higher bending moments for the same applied force.

Q3: What are typical values for horizontal bending moments?
A: Values vary significantly based on engine size and design, but typically range from hundreds to thousands of Newton-meters in automotive and industrial applications.

Q4: How is this calculation used in crankshaft design?
A: Engineers use this calculation to determine appropriate shaft dimensions, material selection, and safety factors to prevent fatigue failure under cyclic loading conditions.

Q5: Are there limitations to this formula?
A: This formula provides a simplified calculation and may need to be combined with other stress analysis methods for comprehensive crankshaft design, particularly for complex loading conditions.