The length L of the main supporting cable of a suspension bridge can be calculat

Question

The length L of the main supporting cable of a suspension bridge can be calculated by L = 2 integral_0^a (1 + 4h^/a^4 x^2)^1/2 dx where a is half the length of the bridge and h is the distance from the deck to the top of the tower where the cable is attached. Determine the length of a bridge with a = 80 m and h = 18 m. Use the MATLAB syms command to create one or more symbolic variables and use the Symbolic MATLAB functions to solve for the length L of the supporting cable. Convert the value into a numeric value and assigned it to p04. Display the value of p04 as shown. p04 =

Explanation / Answer

syms x
ans1=int((1+4.*18.^2*x.^2/80.^2).^1/2 ,0 , 80); % 0 is lower limit and 80 is upper limit
ansf=2*ans1 %%ansf is the final answer

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