As depicted in Fig. P1.24, the downward deflection y (m) of a cantilever beam with a uniform
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As depicted in Fig. P1.24, the downward deflection y (m) of a cantilever beam with a uniform load w (kg/m) can be computed as
Where x = distance (m), E = the modulus of elasticity = 2 ×1011 Pa, I= moment of inertia = 3.25 × 10–4 m4, w = 10,000 N/m, and L = length = 4 m. This equation can be differentiated to yield the slope of the downward deflection as a function of x:
If y = 0 at x = 0, use this equation with Euler’s method (Δx = 0.125 m) to compute the deflection from x = 0 to L. Develop a plot of your results along with the analytical solution computed with the first equation.
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Related Book For
Numerical Methods for Engineers
ISBN: 978-9352602131
7th edition
Authors: Steven C. Chapra, Raymond P. Canale
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