Buckling: Formula to relate Temperature increase with axial Compression

[socrates_1]

hi, does anyone know how to find how much axial pre-compression is required so that buckling will occur after a temperature rise of 50 C°?

I know the cross section of the pinned at each end copper strip (4mm x 8mm)
length= 100mm
E= 100 GN/m^2
Coefficient of thermal expansion is 18 x 10^-6

 

[socrates_1]

any ideas??

 

[Chestermiller]

any ideas??

Start out by determining the compressional stress required to cause buckling without a temperature rise. The formula is in most strength of materials books.