Analyzing the Crank of a Bicycle: Understanding the Forces and Stress

Problem Statement:

When you pedal a bicycle, you exert a variable force on the bike crank. For simplicity, let's ignore the variation of this force overtime and focus on the crank's response to a static force. Imagine this as taking a snapshot of the bike crank and analyzing that single frame. By doing so, we can better understand how the crank responds to the force applied by the rider.


In this module, we will analyze a crank model with the following specifics:

Material: Aluminum 6061-T6 alloy

Young's Modulus: 10,000,000 psi

Poisson's Ratio: 0.33

Constraints: The left three hole surfaces are fixed.

Load: A load of 100 lbf is applied to the right hole surface in an upward direction.

This is a simplified approximation of the actual loads and constraints experienced by the bike crank during pedaling.


Why Analyze the Bike Crank?

Understanding the forces and stress on the bike crank is essential for several reasons:

Safety: Ensuring the crank can withstand the applied forces prevents potential failures that could lead to accidents.

Performance: Analyzing the crank's response helps optimize its design for better efficiency and performance.

Durability: By studying the stress and deformation, we can improve the crank's lifespan and reliability.

The Analysis Process

Using ANSYS Mechanical, we'll calculate the following:

 

Deformed Shape and Displacement Field: Understanding how the crank deforms under the applied load.

Stress Distribution: Identifying areas of high stress concentration to prevent potential failures.



Results

After running the simulation, we obtained the following results:

 

Total Deformation: 1.32e7 mm


Equivalent Stress: 91.64 MPa



Maximum Principal Stress: 91.74 MPa



Equivalent Elastic Strain: 132292



Normal Elastic Strain: 12751



Normal Stress at the Axis: 87.9 MPa


These results highlight the areas of maximum stress and deformation, which are critical for evaluating the crank's performance and safety.

 

Conclusion

By analyzing the bike crank under a static load, we gain valuable insights into its structural integrity and performance. This analysis helps in optimizing the crank design, ensuring safety, and improving durability. Understanding these factors is crucial for both manufacturers and riders, contributing to better and safer cycling experiences.



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