Bending Moment In Vertical Plane Of Centre Crankshaft At Juncture Of Right Crankweb For Max Torque Calculator

Formula Used:

\[ M_{bv} = (R_{v1} \times (b_1 + \frac{l_c}{2} + \frac{t}{2})) - (P_r \times (\frac{l_c}{2} + \frac{t}{2})) \]

Vertical Reaction at Bearing 1 due to Radial Force (R_v1):

Distance from Bearing 1 to Center of Crank Pin (b₁):

Length of Crank Pin (l_c):

Thickness of Crank Web (t):

Radial Force at Crank Pin (P_r):

Vertical Bending Moment at Crank web Joint (M_bv):

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1. What is Vertical Bending Moment at Crank Web Joint?

The vertical bending moment at the crank web joint represents the bending moment in the vertical plane of the crankshaft at the juncture where the crank web meets the main shaft. This is a critical parameter in crankshaft design as it helps determine the stress distribution and structural integrity of the crankshaft under maximum torque conditions.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ M_{bv} = (R_{v1} \times (b_1 + \frac{l_c}{2} + \frac{t}{2})) - (P_r \times (\frac{l_c}{2} + \frac{t}{2})) \]

Where:

\( M_{bv} \) — Vertical bending moment at crank web joint (N·m)
\( R_{v1} \) — Vertical reaction at bearing 1 due to radial force (N)
\( b_1 \) — Distance from bearing 1 to center of crank pin (m)
\( l_c \) — Length of crank pin (m)
\( t \) — Thickness of crank web (m)
\( P_r \) — Radial force at crank pin (N)

Explanation: The formula calculates the net bending moment by considering both the moment created by the vertical reaction force and the moment created by the radial force acting at the crank pin.

3. Importance of Vertical Bending Moment Calculation

Details: Accurate calculation of vertical bending moment is crucial for crankshaft design and analysis. It helps engineers determine the stress levels at critical sections, ensure proper material selection, and verify that the crankshaft can withstand maximum torque conditions without failure.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure that all input values are positive and within reasonable ranges for mechanical engineering applications. The calculator will compute the vertical bending moment at the crank web joint.

5. Frequently Asked Questions (FAQ)

Q1: Why is vertical bending moment important in crankshaft design?
A: Vertical bending moment helps determine the stress distribution and ensures the crankshaft can withstand operational loads without excessive deformation or failure.

Q2: What factors affect the vertical bending moment?
A: The vertical bending moment is influenced by the radial force, bearing reactions, crank pin dimensions, and crank web thickness.

Q3: How does maximum torque affect the bending moment?
A: Maximum torque conditions typically produce the highest radial forces and bearing reactions, resulting in the maximum bending moments that the crankshaft must withstand.

Q4: What are typical values for crank pin length and web thickness?
A: These dimensions vary based on engine size and application, but typically range from 20-100mm for crank pin length and 10-50mm for web thickness in automotive applications.

Q5: How is this calculation used in practice?
A: Engineers use this calculation during the design phase to optimize crankshaft dimensions, select appropriate materials, and ensure the crankshaft meets safety and performance requirements.