Chapter 9 - Deflections Using Energy Methods

News East Asian Educators Want To Find Out What Makes US Students Good At Creativity, Critical Thinking.  Voice of America (10/13) reports, "High school students in Asia often do better than American students on international math and science tests." Still, "some of these same countries want to learn what makes American students good at creativity and critical thinking." VOA reports, "Foreign educators often visit Thomas Jefferson High School for Science and Technology in Alexandria, Virginia, near Washington. This past summer, seventy-five school principals visited from China." Evan Glazer, the principal of Thomas Jefferson, said, "Curriculum, when it's seen within one particular context, you're really just developing knowledge and skills. But if you want to look at the complexity of real problems and original solutions, it requires people to come at them from different angles. And so we foster a lot of team teaching, with pairing up teachers from different disciplines so that, when they're offering challenges to students, that they have a variety of perspectives as they approach problems."  (ASEE First Bell, 2011-10-13) Doodlers, unite!
Objectives Judge the location and direction to place a unit load/moment in order to determine a structure's deflection/slope using virtual work. Judge which formula(s) to use. external loading axial: 1·Δ = Σ(nNL/AE) bending: 1·Δ = ∫ (mM/EI) dx bending: 1·θ = ∫ (mθM/EI) dx temperature: 1·Δ = Σ(nα ΔT L) fabrication errors: 1·Δ = Σ(n ΔL)  Judge the most efficient strategy for solving the problem. define variable loads/moments, draw generic free-body diagram, derive generic formulas, and then plug in values for different scenarios study effects of real load(s) using specific free-body diagram and formulas, then independently study effects of virtual load(s) using specific free-body diagram and formulas Draw the free-body diagram(s) corresponding to the selected strategy. Derive the formulas corresponding to the selected strategy. Summarize results in table format, and then use appropriate formula from above. Check unit conversions.
Concepts   1.  external work and strain energy 2.  principle of work and energy 3.  principle of virtual work 4.  method of virtual work: trusses 5.  method of virtual work: beams and frames 6.  virtual strain energy caused by axial load, shear, torsion, and temperature 7.  castigliano's theorem 8.  castigliano's theorem for trusses 9.  castigliano's theorem for beams and frames
Quiz 3 Formula-Sheet Guidelines One 8.5"x11" page with writing on both sides. NO worked problems. NO deflection formulas from front cover of book, CE 110, etc. You may be asked to submit sheet with quiz.
Problems   * examples to be discussed in class vw: virtual work ct: Castigliano's theorem ti: temperature increase ts: member(s) too short 7e Examples 7e Homework Autodesk Robot trusses vw   09.001   --   --   solution   solution    ct   09.002   --   --   --   --   vw   09.003   --   --   --   --    ct   09.004   --   --   --   --   vw   09.005   --   --   solution   solution    ct   09.006   --   --   --   solution   vw   09.007   --   --   --   --    ct   09.008   --   --   --   --   vw   09.009   --   --   --   --    ct   09.010   --   --   --   solution   vw   09.011   --   --   --   --    ct   09.012   --   --   --   --   vw   09.013   --   solution*1   --   --    ct   09.014   --   --   --   --   vw   09.015   --   --   --   solution    ct   09.016   --   --   --   --   vw   09.017   --   --   --   --   vw   09.018   --   solution*2   --   --   ct   09.019   --   --   --   --       vw   09.020   --   --   solution   solution       ct   09.021   --   --   --   solution       vw   09.022   --   --   --   --       ct   09.023   --   --   --   --       vw   09.024   --   --   --   --       ct   09.025   --   solution   --   solution       vw   09.026   strategy   --   --   solution       ct   09.027   --   --   --   --       ti   09.028   --   --   solution   tutorial       ts   09.029   --   solution*3   --   tutorial       vw   09.030   --   --   --   solution       ct   09.031   --   --   --   --       vw   09.032   --   --   --   --       ct   09.033   --   --   --   --       vw   09.034   --   --   --   --       ct   09.035   --   --   --   --       vw   09.036   --   --   --   --       ct   09.037   --   --   --   --       vw   09.038   --   --   --   --       ct   09.039   --   --   --   --       vw   09.040   --   --   --   --       ct   09.041   --   --   --   --       vw   09.042   --   --   --   --       ti   09.043   --   solution*4   --   --       ts   09.044   --   --   solution   --       vw   09.045   --   --   --   --       ct   09.046   --   --   --   --     beams   vw   09.047   strategy   --   --   --       ct   09.048   --   --   --   --       vw   09.049   --   solution*   --   --       vw   09.050   --   --   solution   --       vw   09.051   --   --   --   --       vw   09.052   --   solution*   --   --       vw   09.053   --   --   --   --       vw   09.054   --   --   --   --       ct   09.055   --   --   --   --       vw   09.056   --   --   --   --       ct   09.057   --   --   --   --     frames   vw   09.058   --   --   --   --       ct   09.059   --   --   --   --       vw   09.060   --   --   solution   --       vw   09.061   --   --   solution   --       ti   09.062   --   --   --   --       ti   09.063   --   --   --   --       vw   09.064   --   --   solution   --       vw   09.065   --   --   --   --       ct   09.066   --   --   --   --       vw   09.067   --   solution*   --   --       ct   09.068   --   --   --   --       vw   09.069   --   --   --   --       vw   09.070   --   --   --   --       ct   09.071   --   --   --   --       vw   09.072   --   --   --   --       ct   09.073   --   --   --   --       vw   09.074   --   solution*   --   --       ct   09.075   --   --   --   --