Steel - Youngs Modulus, Poisson Ratio

In summary, Young's Modulus is a measure of stiffness for a material and for steel it is typically 200 GPa or 29,000 ksi. A higher Young's Modulus means a stiffer and stronger material. The Poisson Ratio for steel is typically around 0.3, indicating its tendency to shrink in one direction when stretched in another. This affects how steel behaves under stress, with a low Poisson Ratio making it resistant to lateral deformation. However, there are other important properties of steel, such as yield strength and ductility, that also play a significant role in its performance.
  • #1
samirnasri
3
0
Hello,

Quick question on how you would go about calculating this.

A grade of steel has the following properties;

Tensile strength = 300 N/mm^2 - (not relevant?)
Youngs Modulus = 200 GPa
Poisson Ratio = 0.3

The grade of steel is 2m long, with a 20mm cross sectional area.

It is positioned upright and supports a load of 10 tonnes.

How would you calculate how much shorter or wider it becomes?

Thank you
 
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  • #2
You should know that E= σ/ε where you can get ε from and hence get the change in length.

To get how wide it becomes, what is Hooke's law in 2 dimensions?
 

1. What is Young's Modulus for steel?

Young's Modulus, also known as the modulus of elasticity, is a measure of a material's stiffness. For steel, the Young's Modulus is typically 200 GPa (gigapascals), or 29,000 ksi (thousands of pounds per square inch).

2. How does Young's Modulus affect the strength of steel?

The higher the Young's Modulus of a material, the stiffer and stronger it is. This means that steel, with a high Young's Modulus, is able to withstand large amounts of stress and strain without breaking or deforming.

3. What is the Poisson Ratio for steel?

The Poisson Ratio is a measure of a material's tendency to shrink in one direction when stretched in another direction. For steel, the Poisson Ratio is typically around 0.3, meaning that for every 1% increase in length, there is a 0.3% decrease in width.

4. How does the Poisson Ratio affect the behavior of steel under stress?

The Poisson Ratio helps to determine how a material will behave under stress. For steel, a low Poisson Ratio means that it is more resistant to lateral deformation and is able to maintain its shape when under tension or compression.

5. Are Young's Modulus and Poisson Ratio the only important properties of steel?

No, there are many other important properties of steel, such as yield strength, ultimate tensile strength, and ductility, that also play a significant role in its performance. These properties, along with Young's Modulus and Poisson Ratio, are important factors to consider in engineering and designing structures and machines using steel.

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