Shear Stress In Crankweb Of Centre Crankshaft For Max Torque Given Reaction On Bearing1 Calculator

Formula Used:

\[ T = \frac{4.5}{w \times t^2} \times \left( (Rh1 \times (b1 + \frac{lc}{2})) - (Pt \times \frac{lc}{2}) \right) \]

Width of Crank Web (w):

Thickness of Crank Web (t):

Horizontal Force at Bearing1 by Tangential Force (Rh1):

Centre Crankshaft Bearing1 Gap from CrankPinCentre (b1):

Length of Crank Pin (lc):

Tangential Force at Crank Pin (Pt):

Shear Stress in Crankweb (T):

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1. What is Shear Stress in Crankweb?

Shear Stress in Crankweb is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) in the crankweb. It's a critical parameter in crankshaft design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T = \frac{4.5}{w \times t^2} \times \left( (Rh1 \times (b1 + \frac{lc}{2})) - (Pt \times \frac{lc}{2}) \right) \]

Where:

\( T \) — Shear Stress in Crankweb (Pa)
\( w \) — Width of Crank Web (m)
\( t \) — Thickness of Crank Web (m)
\( Rh1 \) — Horizontal Force at Bearing1 by Tangential Force (N)
\( b1 \) — Centre Crankshaft Bearing1 Gap from CrankPinCentre (m)
\( lc \) — Length of Crank Pin (m)
\( Pt \) — Tangential Force at Crank Pin (N)

Explanation: This formula calculates the shear stress in the crankweb based on geometric parameters and force components acting on the crankshaft.

3. Importance of Shear Stress Calculation

Details: Accurate shear stress calculation is crucial for crankshaft design, ensuring structural integrity and preventing failure under maximum torque conditions.

4. Using the Calculator

Tips: Enter all parameters in SI units (meters for length, Newtons for force). Ensure all values are positive and within reasonable engineering ranges.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 4.5 factor in the formula?
A: The 4.5 factor is derived from empirical data and theoretical analysis specific to crankshaft design calculations.

Q2: How does crank web thickness affect shear stress?
A: Shear stress is inversely proportional to the square of thickness, making thickness a critical parameter in stress reduction.

Q3: What are typical shear stress values in crankwebs?
A: Acceptable shear stress values depend on material properties, but typically range from 50-150 MPa for steel crankshafts.

Q4: When is this calculation most critical?
A: This calculation is most critical during maximum torque conditions when shear stresses reach their peak values.

Q5: Are there limitations to this formula?
A: This formula provides an approximate calculation and should be used with appropriate safety factors and validation through FEA analysis.