1. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 1 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege.edu Engineering 36 Lab-24 Chp10 Flexible Cables

2. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 2 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

3. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 3 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

4. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 4 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

5. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 5 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

6. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 6 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

7. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 7 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

8. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 8 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

9. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 9 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics Chain Catenary Equil.  Given Geometry, 8m Chain @ 3.72 kg/m, Frictionless Pulley at Pt-B, Pin at Pt-A  Find values of a for Equilibrium

10. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 10 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

11. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 11 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

12. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 12 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics Excel Plot To Locate Root Regions

13. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 13 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics Excel Numerical Anal.

14. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 14 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

15. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 15 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

16. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 16 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics MATLAB Plot

17. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 17 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics MatLab Code – Part-1 % B. Mayer 01Aug08 * ENGR36 % Prob Catenary Chain: plot Transcendtal Function and find Zeros % file = E36_CatChain_Plot.m % use with function file CatZeros.m % clear % Define function based on engineering analysis ChainCat = @(z) (z/2).*(2*sinh(1./z) + cosh(1./z)) - 4; % use 501 pts unsing LinSpace, must avoid Division by ZERO cmin = 0.3; cmax = 7; n = 500; c = linspace(cmin,cmax,n); % % Make a Horizontal Line HL = zeros(1,n); % % Calc the values, u(c) using ChaingCat u = ChainCat(c); % % Plot u = ChainCat(c) vs c plot(c, u, c, HL), xlabel('c'), ylabel('ChainCat(c)'),... title('ChainBalance Catenary'), grid % % Use fzero to find roots precisely c1 = fzero('CatZeros',.3) c2 = fzero('CatZeros', 6) % % now recall a = c*cosh(1/c) a1 = c1*cosh(1/c1); a2 = c2*cosh(1/c2); % % Display output disp('Values for a using fzero Command') disp('a1 in meters = ') disp(a1) disp('a2 in meters = ') disp(a2)

18. ENGR-36_Lab-24_Fa07_Lec-Notes.ppt 18 Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics MatLab Code – Part-2 % also solve symbolically syms csym cnum = solve('csym*sinh(1/csym) + (csym/2)*cosh(1/csym)= 4') % % Note that the Symbollic Solver does NOT return the smaller root % disp('Value for a using Symbolic solve Command') anum = cnum*cosh(1/cnum) function y = CatZeros(x) % B. Mayer 05Dec06 * ENGR36 % Prob 7.133: plot Transcendtal Function and find Zeros % use with file = E36_Prob7_133_Plot.m % Define function based on engineering analysis y = (x/2).*(2*sinh(1./x) + cosh(1./x)) - 4;