A uniform beam subject to a linearly increasing distributed load is shown below. The equation for the beam deflection (y) is Wo L Wo y = 120EIL -(-x° +2Ľ°x³ – L*x) (a) (x = 0, y = 0) (x = L, y = 0) (b) where L = 600 cm, I = 30,000 cm“, and wo = 2.5 kN/cm. Write an m-file that uses the modified secant method with perturbation factor 8 = 0.1 to determine the location (xmax) of the maximum deflection in the beam, which occurs where dy/dx = 0. Use a stopping criterion of ɛa < 0.0001%.Your plot from problem 4 in homework 1 may help to provide an initial guess of the location. To evaluate the effect of material properties on the beam's deflection, the m-file must create a plot of the value of the maximum deflection for 100 equally spaced E values ranging from 30,000 kN/cm² to 70,000 kN/cm². Label your axes appropriately. Turn in a printout of your code and a printout of the plot. Also state the x location of the point of maximum deflection.

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A uniform beam subject to a linearly increasing distributed load is shown below. The equation for the
beam deflection (y) is
Wo
L
Wo
-(-x' + 2Ľ²X³ – L*x)
y =
120EIL
(а)
(x = 0, y = 0)
(x = L, y = 0)
(b)
where L = 600 cm, I = 30,000 cm*, and wo = 2.5 kN/cm. Write an m-file that uses the modified secant
method with perturbation factor 8 = 0.1 to determine the location (xmax) of the maximum deflection in the
beam, which occurs where dy/dx = 0. Use a stopping criterion of ɛa< 0.0001%.Your plot from problem 4
in homework 1 may help to provide an initial guess of the location. To evaluate the effect of material
properties on the beam's deflection, the m-file must create a plot of the value of the maximum deflection
for 100 equally spaced E values ranging from 30,000 kN/cm? to 70,000 kN/cm?. Label your axes
appropriately. Turn in a printout of your code and a printout of the plot. Also state the x location of the
point of maximum deflection.
Transcribed Image Text:A uniform beam subject to a linearly increasing distributed load is shown below. The equation for the beam deflection (y) is Wo L Wo -(-x' + 2Ľ²X³ – L*x) y = 120EIL (а) (x = 0, y = 0) (x = L, y = 0) (b) where L = 600 cm, I = 30,000 cm*, and wo = 2.5 kN/cm. Write an m-file that uses the modified secant method with perturbation factor 8 = 0.1 to determine the location (xmax) of the maximum deflection in the beam, which occurs where dy/dx = 0. Use a stopping criterion of ɛa< 0.0001%.Your plot from problem 4 in homework 1 may help to provide an initial guess of the location. To evaluate the effect of material properties on the beam's deflection, the m-file must create a plot of the value of the maximum deflection for 100 equally spaced E values ranging from 30,000 kN/cm? to 70,000 kN/cm?. Label your axes appropriately. Turn in a printout of your code and a printout of the plot. Also state the x location of the point of maximum deflection.
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