# (Solved) : Use Matlab Numerically Integrate Equation Find Deflection M Find Solution Analytically Us Q42694522 . . .

Use MATLAB to numerically integrate the above equation to findthe deflection (in m). Find the solution analytically (usingCalculus) and plot the numerical and analytical solutions on thesame plot. Include a title, axis labels, and a legend in yourplot.Consider the following description for problems 3 and 4. The following relationships can be used to analyze uniform beams subject to distributed loads, = (x) 40MX) Mu dV dx = EU dr = V(x) = -w(x) where x = distance along the beam (m), y =deflection (m), L = beam length (m), 2(x) = slope (m/m), E = modulus of elasticity (Pa = N/m²), 1 = moment of inertia (m), M(x) = moment (N*m), V(x) = shear (N), and w(x) = distributed load (N/m). For the specific case of a linearly increasing distributed load, the slope can be computed analytically as: 0(x) = 12001 (-5x* + 61? x2 – L“) The following parameter values are given for a 3m long beam : E = 150 GPa 1 = 0.0002 m4 Wo = 4 kN/cm L = 3 m Show transcribed image text Consider the following description for problems 3 and 4. The following relationships can be used to analyze uniform beams subject to distributed loads, = (x) 40MX) Mu dV dx = EU dr = V(x) = -w(x) where x = distance along the beam (m), y =deflection (m), L = beam length (m), 2(x) = slope (m/m), E = modulus of elasticity (Pa = N/m²), 1 = moment of inertia (m), M(x) = moment (N*m), V(x) = shear (N), and w(x) = distributed load (N/m). For the specific case of a linearly increasing distributed load, the slope can be computed analytically as: 0(x) = 12001 (-5x* + 61? x2 – L“) The following parameter values are given for a 3m long beam : E = 150 GPa 1 = 0.0002 m4 Wo = 4 kN/cm L = 3 m

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