Question 1:A cantilever beam of length L is loaded with a distributed load as shown in Fig. Q1. The deflection of the centerline of the beam as a function of its axial distanceis given by the equation in Fig. Q1 (其实这个Fig.1用不到,所以没上传):If L=3m,w0=15kN/m,Young’s modulus E=70GPa and I=52.9*10^(-6)is area moment of inertia, find the position where the deflection of the beam is y=0.009mUse a tolerance value of 10^(-5)Fig. Q1(i) Solve for the location using Bisection method. You need to write a MATLAB program for bisection method which should be general enough to work any user defined function in addition to the one given for this problem.Initial start value a, Initial end value b, Number of iterations.(ii) Solve the above problem using Newton-Raphson method.Use the maximum tolerance to be . Your MATLAB program for this part needs to general enough so that one can use any values of w,E ,L ,I and y.(iii) Attach the programs and the MATLAB output screen in order to substantiate the values reported as answers to the above problems. Question 2: A coating on the panel surface is cured by radiant energy from a heater as shown in Fig.Q2. The temperature of the coating is determined by radiative and convective heat transfer processes.If the radiation is considered to be grey and diffuse, one obtains the following non-linear equationsinvolving Jh,Th ,Jc and Tc :Fig. Q2Find out the solution of the above equations by writing a MATLAB program. Take the following initial values:Jh = 5000W /m2,Th = 298K,Jc = 3000W /m2 andTc = 298K Use a tolerance value of 10^910−9 . Write yourprogram in such a manner that your program can deal with any values of the coefficients of the aboveequations. You are allowed to use MATLAB’s in-built matrix inversion method for 4x4 matrices.
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