Numerical Methods Lecture:Please see the picture: 10. The central span of the Golden Gate bridge is 4200 ft longand the towers' height from the roadway is 500 ft. The shape ofthe main suspension cables can be approximately modeled by theequation:500 ftf(x) = Ce/C +e=x/C21) for -2100

fx=CexC+e-xC2-1 for -2100≤x1≤2100Where C=4491 We need to determine the length of the main suspension…

span Gate bridge iS lông nd the towers' height from the roadway is 500 ft. The shape of e main suspension cables can be approximately modeled by the quation: (et/C + e=x/C 1) for -2100 sxS2100 ft %3D (x)F 2

span Gate bridge iS lông nd the towers' height from the roadway is 500 ft. The shape of e main suspension cables can be approximately modeled by the quation: (et/C + e=x/C 1) for -2100 sxS2100 ft %3D (x)F 2

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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Question

Numerical Methods Lecture:

Please see the picture:

10. The central span of the Golden Gate bridge is 4200 ft long
and the towers' height from the roadway is 500 ft. The shape of
the main suspension cables can be approximately modeled by the
equation:
500 ft
f(x) = Ce/C +e=x/C
2
1) for -2100 <x<2100 ft
2100 ft
where C
4491.
By using the equation L = [°/1+[f'(x)]1² dx, determine the length of the main suspension cables with
the following integration methods:
(a) Simpson's 3/8 method. Divide the whole interval into nine subintervals.
(b) Three-point Gauss quadrature.

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