Mechanical Engineering- Stress-Strain

In summary, a 90kg man standing on a snow-covered trail will sink into the snow due to the compressive stress between his boots and the snow. However, when wearing skis that are 1.65m long and 6cm wide, the stress applied to the snow is reduced by a certain percentage compared to wearing boots with a sole that is 8cm wide and 25cm long. This is due to the larger area of the skis distributing the weight and force more evenly.
  • #1
Dominquez
1
0
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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  • #2
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
 

Related to Mechanical Engineering- Stress-Strain

1. What is stress-strain analysis in mechanical engineering?

Stress-strain analysis is the study of how materials respond to external forces, such as tension, compression, or bending. It involves measuring the stress (force per unit area) and strain (deformation or change in shape) of a material under different loading conditions.

2. How is stress-strain data used in mechanical engineering?

Stress-strain data is used to determine the mechanical properties of a material, such as its stiffness, strength, and ductility. This information is crucial in designing and selecting materials for various applications, as it helps engineers predict how a material will behave under different types of stress.

3. What is the difference between tensile and compressive stress-strain analysis?

Tensile stress-strain analysis involves applying a pulling force to a material, while compressive stress-strain analysis involves applying a pushing force. Tensile stress-strain data is used to determine a material's strength and elasticity, while compressive stress-strain data is used to determine its compressive strength and resistance to buckling.

4. How do engineers use stress-strain curves in their designs?

Stress-strain curves, which plot the relationship between stress and strain for a specific material, are used by engineers to analyze the behavior of a material under different loading conditions. This information is used to design structures and components that can withstand expected stresses and avoid failure.

5. What factors can affect the stress-strain behavior of a material?

The stress-strain behavior of a material can be affected by various factors, such as temperature, loading rate, and material composition. Different materials also have different stress-strain behaviors, which is why it is important for engineers to understand the properties of different materials when designing structures and components.

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