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Need help with the MATLAB code for this question. Thanks! Figure la shows a unif

ID: 1855245 • Letter: N

Question

Need help with the MATLAB code for this question. Thanks!

Figure la shows a uniform beam subject to a linearly increasing distributed load. The resulting deflection is shown in Figure lb and the equation for the resulting elastic curve is given by Use bisection to determine the point of maximum deflection (i.e., the value of x where dy/dx = 0). Then substitute this value into Equation 1 to determine the value of the maximum deflection. Use the following parameter values: L = 600 cm, E = 50.000 kN/cm2, I = 30.000 cm4, and omega 0 = 2.5 kN/cm. Use a starting interval of [0, L] and tolerance for the final error of 10-1 cm. Figure 1: Beam bending

Explanation / Answer

%Problem 5.13 L = 600; %cm E = 50000; %kN/cm^2 I = 30000; %cm^4 w0 = 2.5; %kN/cm %equation for elastic curve y = @(x) (w0/(120*E*I*L)).*(-(x^(-5)) + 2*(L^2).*(x^3) - (L^4).*x); %use bisect function from pg. 139 [root,fx,ea,iter]=bisect(y,0,L) %root is value of x %fx is value of maximum deflection ( i.e., y(root) )

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