Shear Stress In Crankpin Of Centre Crankshaft For Max Torque Calculator

Formula Used:

\[ \tau = \frac{16}{\pi \cdot d_c^3} \cdot \sqrt{(R_{v1} \cdot b_1)^2 + (R_{h1} \cdot r)^2} \]

Diameter of Crank Pin (d_c):

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

Centre Crankshaft Bearing1 Gap from CrankPinCentre (b_1):

Horizontal Force at Bearing1 by Tangential Force (R_h1):

Distance Between Crankpin and Crankshaft (r):

Shear Stress in Central Plane of Crank Pin (τ):

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1. What is Shear Stress in Crankpin?

Shear stress in the central plane of crank pin represents the internal resistance of the material to shear deformation at the critical section of the crank pin under maximum torque conditions. It's a crucial parameter in crankshaft design to ensure structural integrity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \tau = \frac{16}{\pi \cdot d_c^3} \cdot \sqrt{(R_{v1} \cdot b_1)^2 + (R_{h1} \cdot r)^2} \]

Where:

\( \tau \) — Shear stress in central plane of crank pin (Pa)
\( d_c \) — Diameter of crank pin (m)
\( R_{v1} \) — Vertical reaction at bearing 1 due to radial force (N)
\( b_1 \) — Centre crankshaft bearing1 gap from crank pin centre (m)
\( R_{h1} \) — Horizontal force at bearing1 by tangential force (N)
\( r \) — Distance between crankpin and crankshaft (m)
\( \pi \) — Mathematical constant (approximately 3.1416)

Explanation: This formula calculates the maximum shear stress at the central plane of the crank pin by considering both vertical and horizontal force components and their moment arms.

3. Importance of Shear Stress Calculation

Details: Accurate shear stress calculation is essential for determining the safety factor of the crank pin, preventing fatigue failure, and ensuring the crankshaft can withstand maximum torque conditions without permanent deformation.

4. Using the Calculator

Tips: Enter all values in SI units (meters for distances, Newtons for forces). Ensure all values are positive and physically realistic. The crank pin diameter must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is shear stress important in crankpin design?
A: Shear stress determines the material's ability to resist sliding failure along the critical plane, ensuring the crankpin can withstand torsional and bending loads.

Q2: What are typical shear stress values for crankpin materials?
A: Allowable shear stress varies by material, but typically ranges from 40-100 MPa for steel alloys used in crankshaft applications.

Q3: How does crankpin diameter affect shear stress?
A: Shear stress is inversely proportional to the cube of diameter, so small increases in diameter significantly reduce shear stress.

Q4: When is this calculation most critical?
A: This calculation is most critical during maximum torque conditions when the crankshaft experiences the highest combined torsional and bending stresses.

Q5: What safety factors are typically used?
A: Safety factors of 2-4 are commonly used in crankshaft design, depending on the application and material properties.