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Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

Engineering 25. Problems 2.24 Solutions. Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege.edu. P2.24 Cable Support. Consider a Pin-and-Cable Supported Beam The Cable Anchor Pt-D is VARIABLE For the Constant Parameters shown. 5m. 400N ≈ 90 lbs. 3m.

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Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

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  1. Engineering 25 Problems2.24 Solutions Bruce Mayer, PE Licensed Electrical & Mechanical EngineerBMayer@ChabotCollege.edu

  2. P2.24 Cable Support • Consider a Pin-and-Cable Supported Beam • The Cable Anchor Pt-D is VARIABLE For the Constant Parameters shown 5m 400N≈ 90 lbs 3m

  3. P2.24 Cable Support • Since the VERTICAL Anchor-Pt for Lc is also Variable, the Horizontal Anchor-pt, D, can be MOVED • Using the Methods of ENGR36 We find the Cable-Tension function, T(D)

  4. P2.24  Problem • a. Use Element-by-Element operations and the MATLAB min command to • Find the Anchor-Position, D, The MINIMIZES T • Calc this minimum Value of T • b. Check T vs. D Sensitivity by plotting T vs. D. • By How Much can D change if T is allowed to rise to 1.1*Tmin (110% of Tmin)

  5. ¿¿Class Question?? • Given • What is the MAXIMUM POSSIBLE Value of D (regardless of T)? 5m 400N≈ 90 lbs 3m

  6. ¿¿Class Question?? • HOW Many Values of D Satisfy the given Criteria: • What is D when T is allowed to rise to 1.1*Tmin (110% of Tmin) 5m 400N≈ 90 lbs 3m

  7. 2.24 Game Plan • Part a) Solve analytically using min as instructed • Part b) Solve • Approximately using the Graph • Anallytically using the find command

  8. 2.24 Graphical Soln • The T vs D graph (fully labeled) 2.12m, 1333N ≈1.62 ≈2.54

  9. 2.24 Analytical Soln

  10. Overall Sensitivity • Any D between 1m-2.8m yields relatively low Tension

  11. MATLAB Code-a

  12. MATLAB Code-b

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