NEW 375 Lecture09 - Section 2.10 TEMPERATURE EFFECTS...

Info icon This preview shows pages 1–13. Sign up to view the full content.

View Full Document Right Arrow Icon
Section 2.10 TEMPERATURE EFFECTS δ t δ t = α ( T)L CONSIDER A HOMOGENEOUS ROD AB OF UNIFORM CROSS SECTION, RESTING FREELY ON A SMOOTH HORIZONTAL SURFACE THAT IS THEN SUBJECTED TO A UNIFORM TEMPERATURE CHANGE, T. Where α is the material constant, coefficient of thermal expansion Note:No restraint, therefore no axial forces developed
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Section 2.10 PROBLEMS INVOLVING TEMPERATURE CHANGES CONSIDER A HOMOGENEOUS ROD AB OF UNIFORM CROSS SECTION, FIXED BETWEEN SUPPORTS, THAT IS SUBJECTED TO A TEMPERATURE INCREASE, T.
Image of page 2
STEP 1: STUDY FORCES / EQUILIBRIUM ASSUME DIRECTION OF REACTION FORCE AS ABOVE . R R R R R F B A B A x = = = - = + 0 Eq.1
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
δ P STEP 2: STUDY DEFORMATION / G.O.F. NOTE: Show deformations in direction of assumed forces R P AB = R = AB AB AB AB P A E L P δ L
Image of page 4
Procedure: a) Remove the restraint b) Let the deformations take place a) Put the restraint back on the structure d) Write deformation compatibility equation(s) STEP 2 (cont.): STUDY DEF. / G.O.F.
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
STEP 2a: REMOVE THE RESTRAINT
Image of page 6
STEP 2b: LET THERMAL DEFORMATIONS TAKE PLACE δ t δ t = α ( T)L LL
Image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
STEP 2b: LET ELASTIC DEFORMATIONS TAKE PLACE δ t L L δ
Image of page 8
STEP 2c: PUT RESTRAINT BACK ON THE MEMBER δ t L L δ
Image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
δ t L L δ STEP 2d: WRITE DEFORMATION COMPATIBILITY EQUATION δ t - δ P = 0 Eq.2
Image of page 10
STEP 3: APPLY FORCE/DEFORMATION AND TEMPERATURE/DEFORMATION RELATIONSHIP δ t = α AB ( T)L AB = AB AB AB AB P A E L P δ
Image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
STEP 3(cont.): APPLY FORCE/DEFORMATION AND
Image of page 12
Image of page 13
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern