Buckling: Formula to relate Temperature increase with axial Compression

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SUMMARY

The discussion focuses on calculating the axial pre-compression required for a copper strip to buckle after a temperature increase of 50°C. The strip has a cross-section of 4mm x 8mm, a length of 100mm, an elastic modulus (E) of 100 GN/m², and a coefficient of thermal expansion of 18 x 10^-6. Participants suggest starting with the compressional stress formula from strength of materials literature to determine the necessary pre-compression for buckling to occur under the specified conditions.

PREREQUISITES
  • Understanding of buckling theory in structural mechanics
  • Familiarity with compressional stress calculations
  • Knowledge of thermal expansion principles
  • Basic proficiency in material properties, specifically for copper
NEXT STEPS
  • Research the Euler's buckling formula for pinned-end columns
  • Study the relationship between temperature changes and material expansion
  • Explore compressional stress calculations in strength of materials
  • Investigate the effects of different materials on buckling behavior
USEFUL FOR

Mechanical engineers, structural analysts, and students studying material mechanics who are interested in the effects of temperature on buckling behavior in materials.

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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