Steel - Youngs Modulus, Poisson Ratio

[samirnasri]

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

 

[rock.freak667]

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?