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Lab-23 Chp10 Beam VM Diagrams By Calculus

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1 Lab-23 Chp10 Beam VM Diagrams By Calculus
Engineering 36 Lab-23 Chp10 Beam VM Diagrams By Calculus Bruce Mayer, PE Licensed Electrical & Mechanical Engineer

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14 MATLAB V&M Diagrams

15 MatLab Code – Part-1 % Bruce Mayer, PE * 31Jul07
% ENGR36 * problem % file = Prob10_1_28_VM_Plot.m % % Find V & M functions by calculus % Plot Using this File %% clear % clears memory % Calculate PieceWise Shear-Force Functions x1 = 0:.1:4; v1= -12.5*x1.^ ; x2 = 4:0.1:8; v2 = -100*x ; x3 = 8:0.1:10; v3 = *(x3./x3) x4 = 10:0.1:12; v4 = 300*(x4./x4); x5 = 12.01; v5 = 0; % Combine the pieces by appending xv = [x1 x2 x3 x4 x5]; v = [v1 v2 v3 v4 v5]; % plot v(x); use formating tools to adjust appearance plot(xv,v) ,xlabel('x (ft)'),ylabel('V (lbs)'), title('P Vertically Loaded Beam'), grid display('Shear-force plot complete; hit any key to continue') pause

16 MatLab Code – Part-2 % Calculate PieceWise Bending-Moment Functions
m1 = -25*x1.^3/ *x1; m2 = -50*x2.^ *x ; m3 = *x ; m4 = 300*x4-3600; % Combine the pieces by appending xm = [x1 x2 x3 x4]; m = [m1 m2 m3 m4]; % plot v(x); use formating tools to adjust appearance plot(xm,m) ,xlabel('x (ft)'),ylabel('M (ft-lbs)'), title('P Vertically Loaded Beam'), grid

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