AME 3723 Final Exam Dec 12, 2017 from 10:30 am to 12:30 pm Problem 1 (25 points): The central span of the Golden Gate bridge is 4200 ft long and the tower's height from the roadway is 500 ft. 500 ft 2100 The shape of the main suspension cables can be approximately modeled by the equation +ex/c f(x) = c(ex/C +-*/C-1) for-2100 ft <x<2100 ft and C = 4491 By using the equation L 2100 =2100 √1 + [f'(x)]² dx -2100 Determine the length (L) of the main suspension cable using the following integration method (a) Three-point Gauss quadrature (b) Four-point Gauss quadrature. Coefficients C (Number Gauss points x, of points) (weights) 2 C₁ = 1 x1 = -0.57735027 C₂ = 1 0.57735027 3 C₁ 0.5555556 C₂ - 0.8888889 C₁ = 0.5555556 C₁ = 0.3478548 C₂ = 0.6521452 C₁ = 0.6521452 CA = 0.3478548 -0.77459667 *2 0 x3= 0.77459667 -0.86113631 x2 = -0.33998104 *y = 0.33998104 x=0.86113631