Mechanical Engineering- Stress-Strain

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SUMMARY

The discussion focuses on calculating the percentage reduction in compressive stress applied to snow when a 90kg man uses cross-country skis instead of snow boots. The relevant equation is P=F/A, where P is pressure, F is force, and A is area. The typical dimensions for the skis are 1.65m long and 6cm wide, while the snow boot dimensions are 25cm long and 8cm wide. The solution involves determining the contact area for both the skis and boots to find the difference in stress applied to the snow.

PREREQUISITES
  • Understanding of compressive stress and its calculation
  • Familiarity with the equation P=F/A
  • Basic knowledge of unit conversions (cm to m)
  • Concept of force due to weight (mass and gravity)
NEXT STEPS
  • Calculate the contact area of a snow boot and cross-country skis
  • Determine the force exerted by a 90kg man due to gravity
  • Learn about the effects of pressure on different materials, specifically snow
  • Explore real-world applications of stress-strain calculations in mechanical engineering
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Mechanical engineering students, physics enthusiasts, and anyone interested in understanding the principles of stress and strain in materials.

Dominquez
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When a 90kg man stands on a snow-covered trail, he sinks a certain amount into the snow-covered trail, he sinks a certain amount into the snow because the compressive stress between his boots and the snow is larger than the snow can support without crumbling. Assuming typical cross-country skis are 1.65m long and 6 cm wide, calculate the percentage reduction in stress applied to the snow when he is wearing skis instead of boots(assume a typical snow boot has a sole that is 8cm wide and 25cm long)

Homework Equations


P=F/A i think ..

The Attempt at a Solution


i cannot have any idea for solution can somebody help me :(
 
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You're using the correct choice of equation. What area does a boot have and what are does a ski have? What force is involved here?

Chet
 

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