Buckling: Formula to relate Temperature increase with axial Compression

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To determine the axial pre-compression required for buckling after a 50°C temperature rise in a copper strip, start by calculating the compressional stress needed for buckling at room temperature. Utilize the relevant formula from strength of materials literature, which considers the strip's dimensions and material properties. The strip's dimensions are 4mm x 8mm with a length of 100mm, an elastic modulus of 100 GN/m², and a thermal expansion coefficient of 18 x 10^-6. After establishing the baseline compressional stress, adjust for the effects of temperature increase on the material's properties. This approach will yield the necessary pre-compression to induce buckling under the specified conditions.
socrates_1
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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
 
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any ideas??
 
socrates_1 said:
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.
 

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