How to Calculate Pressure/Gap in Heated Fastened Materials?

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SUMMARY

This discussion focuses on calculating the pressure and gap between a bolt and nut made of different materials when heated. The key assumptions include that both components have smooth cylindrical surfaces and expand radially rather than longitudinally. Essential resources include Wikipedia's coefficient of thermal expansion and structural mechanics engineering textbooks, which provide the necessary equations and data for popular materials.

PREREQUISITES
  • Understanding of thermal expansion principles
  • Familiarity with cylindrical geometry
  • Knowledge of structural mechanics
  • Access to material property data
NEXT STEPS
  • Research the coefficient of thermal expansion for specific materials
  • Study the "expanding ring" problem in structural mechanics
  • Explore equations related to thermal stress and strain
  • Review engineering textbooks on thermal effects in fastened joints
USEFUL FOR

Mechanical engineers, materials scientists, and anyone involved in the design and analysis of fastened joints in heated applications.

Dafe
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Hey,
let's say I have a pipe with a fastener screwed into it.
If they are of different materials, how can I find out the pressure/gap between the bolt and nut if they are heated?
I don't expect a complete solution of course, just a couple of hints to get me going :)

Thanks!
 
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I would first make the assumption they the two pieces are not thread and have simple smooth cylindrical surfaces and are cylindrical in shape. I would also make the assumption they the don't expand longitudinally but just radially.

Wikipedia has all the equations you need and data for popular materials. http://en.wikipedia.org/wiki/Coefficient_of_thermal_expansion

The "expanding ring" problem in which you essentially now have is well covered in most structural mechanics engineering textbooks. If the wikipedia site doesn't give you enough info, a descent text will.
 

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