- #1

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## Homework Statement

A titanium disk (with ##E=107 ~GPa##, Poisson's ratio, ##v=0.34##) precisely ##l_0=8~mm## thick by ##d_0=30~mm## diameter is used as a cover plate in a mechanical loading device. If a ##P=20~kN## load is applied to the disk, calculate the resulting dimensions, ##l_{01}## and ##d_{01}##.

## Homework Equations

##v=- \frac {d\varepsilon_{trans}} {d\varepsilon_{axial}}=- \frac {d\varepsilon_{y}} {d\varepsilon_{x}}=- \frac {d\varepsilon_{z}} {d\varepsilon_{x}}##

##\sigma=\frac F A##

##\sigma=E\cdot \varepsilon##

## The Attempt at a Solution

I had a go working through the problem, but my final depth came out as ##7.999~mm## which seems really wrong. I'm confused which axis is which, or even which axis is being used. Which is trans and which is axial? Or is it ##z## and ##x## we're dealing with here?