Question

C5.2 The cantilever beam of length L has a rectangular cross section of constant width b. The height h of the beam varies as(h2 - h)(x/L)2. The magnitude of the uniformly distributed load is wo. Given L, b, hi, h2, and wo, construct an al gorithm to plot the maximum normal stress acting on the cross section as a function of x. (a) Run the algorithm with L 2 m, b 25 mm, h 30 mm, h2120 mm, and wo 2 kN/m. (b) Find the combination of h and h2 that minimizes the max- imum normal stress in the beam while maintaining the 75-mm average height of the beam in part (a). Wo hi FIG. C5.2

Answer 1

In this solution some basic concepts and formulas of Solid Mechanics are used. For more information, refer to any standard textbook or drop a comment below. Please give a Thumbs Up, if solution is helpful.

Solution :

by club bin a, wowld get wo γ vous WCam ut value ofh here, toe 3 w in ams canner

The matlab code to create the plot is as follows,

L = 2000; % in mm
x = 0:L;

sigma = ((9.6e+11) *(x.^2))./((12e+7) - (90.*(x.^2)));

plot((x/1000),sigma)
xlabel('x (in meters)')
ylabel('Stress (in MPa)')

x 10 0.5 0 0.5 5 -2.5 0.8 1.2 0.2 0.4 0.6 1.8 x (in meters)

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