Calculate Compression Stress for 500 kg Car Tire Ring

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SUMMARY

The discussion centers on calculating the compression stress for a 500 kg car tire ring made of a 10 kg aluminum alloy. The formula used is stress = F/A, where the force (F) is derived from the total weight of the car and tire ring divided by the number of tires, resulting in 127.5 kg. The calculated compression stress is 12,750 Pa based on a contact area of 0.10 m². The conversation highlights confusion regarding the inclusion of the tire ring's mass in the total weight of the car.

PREREQUISITES
  • Understanding of basic physics concepts, specifically stress and force calculations.
  • Familiarity with the formula for calculating stress: stress = force/area.
  • Knowledge of unit conversions, particularly between kilograms and Newtons.
  • Basic comprehension of material properties, such as those of aluminum alloys.
NEXT STEPS
  • Research the mechanical properties of aluminum alloys used in automotive applications.
  • Learn about the principles of stress distribution in materials under load.
  • Explore advanced topics in structural analysis, focusing on compression stress calculations.
  • Investigate the impact of tire design on vehicle performance and safety.
USEFUL FOR

Engineers, automotive designers, and students studying mechanical engineering or materials science will benefit from this discussion, particularly those interested in stress analysis and material properties in vehicle applications.

Reema
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A 500 kg car uses 10 kg aluminum alloy tire ring, what is the compression stress on one of the wheel rings if the contact area is 0.10 m^2 with the tire


so the model answer is
stress = F\A
127.5\0.1 = 12,750 Pa

where did we get the force from ?

127.5 ?
 
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(500 kg + 10 kg) / 4 = 127.50 kg The question as worded doesn't make too much sense.
Apparently, the car has four tires but uses only one tire ring (wheel?) to support itself. I don't know why the mass of the tire ring (rings?) isn't already included in the total mass of the car.
 

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