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# The basic differential equation of the elastic curve for a simply supported, uniformly

ISBN: 9780073401102 336

## Solution for problem 24.16 Chapter 24

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Problem 24.16

The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam (Fig. P24.16) is given as E I d2 y dx2 = wLx 2 wx2 2 where E = the modulus of elasticity, and I = the moment of inertia. The boundary conditions are y(0) = y(L) = 0. Solve for the deflection of the beam using (a) the finite-difference approach (x = 0.6 m) and (b) the shooting method. The following parameter values apply: E = 200 GPa, I = 30,000 cm4 , w = 15 kN/m, and L = 3 m. Compare your numerical results to the analytical solution: y = wLx3 12E I wx4 24E I wL3x 24E I

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Day 10­Binary ­Base ten numbers are decimal numbers ­Binary numbers are base 10 (only 1 and 0, on or off.) ­every binary has a unique decimal value and vice versa ­decimal numbers only have digits from 0­9, and they don’t have to have a decimal in them (ex.33, 493, 39393) ­example, how to get the decimal number 15 is (1x10^1)+(5x10^0) ­the value of a binary number and decimal number are...

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##### ISBN: 9780073401102

The answer to “The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam (Fig. P24.16) is given as E I d2 y dx2 = wLx 2 wx2 2 where E = the modulus of elasticity, and I = the moment of inertia. The boundary conditions are y(0) = y(L) = 0. Solve for the deflection of the beam using (a) the finite-difference approach (x = 0.6 m) and (b) the shooting method. The following parameter values apply: E = 200 GPa, I = 30,000 cm4 , w = 15 kN/m, and L = 3 m. Compare your numerical results to the analytical solution: y = wLx3 12E I wx4 24E I wL3x 24E I” is broken down into a number of easy to follow steps, and 116 words. Since the solution to 24.16 from 24 chapter was answered, more than 326 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 24 chapters, and 496 solutions. Applied Numerical Methods W/MATLAB: for Engineers & Scientists was written by and is associated to the ISBN: 9780073401102. The full step-by-step solution to problem: 24.16 from chapter: 24 was answered by , our top Engineering and Tech solution expert on 03/05/18, 09:01PM. This textbook survival guide was created for the textbook: Applied Numerical Methods W/MATLAB: for Engineers & Scientists , edition: 3.

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