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 = cer/C + e=x/C for -2100

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 = cer/C + e=x/C for -2100

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Numerical Methods

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:
(b) Simpson's 3/8 method. Divide the whole interval into nine subintervals.

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