1.24 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 y ;(x* – 4Lx° + 6L°x?) 24EI where x = distance (m), E = the modulus of elasticity = 2 x 10" Pa, I = moment of inertia = 3.25 x 10 m*, 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: dy :(4x- 12L + 12Lx) 24EI dx If y = 0 at.x = 0, use this equation with Euler's method (Ar = 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. x= 0 x= L FIGURE P1.24 A cantilever beam.

1.24 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 y ;(x* – 4Lx° + 6L°x?) 24EI where x = distance (m), E = the modulus of elasticity = 2 x 10" Pa, I = moment of inertia = 3.25 x 10 m*, 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: dy :(4x- 12L + 12Lx) 24EI dx If y = 0 at.x = 0, use this equation with Euler's method (Ar = 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. x= 0 x= L FIGURE P1.24 A cantilever beam.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter9: Mass And Mass-related Variables In Engineering

Section: Chapter Questions

Problem 5P

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