Question

A material has the following properties: Sut = 275 MPa and n = 0.40. Calculate its strength coefficient, K.

Answer 1

The strength coefficient is K = 591.87 MPa

Step-by-step explanation:

We can calculate the strength coefficient using the equation that relates the tensile strength with the strain hardening index given by

`S_(ut)=K \left(\cfrac ne \right)^n`

where Sut is the tensile strength, K is the strength coefficient we need to find and n is the strain hardening index.

Solving for strength coefficient

From the strain hardening equation we can solve for K

`K = \cfrac{S_(ut)}{\left(\cfrac ne \right)^n}`

And we can replace values

`K = \cfrac{275}{\left(\cfrac {0.4}e \right)^(0.4)}\\K=591.87`

Thus we get that the strength coefficient is K = 591.87 MPa