Question 4. [20 marks] A cantilevered bar is loaded by a linearly varying distributed load q(x)...

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Question 4. [20 marks] A cantilevered bar is loaded by a linearly varying distributed load q(x) = cx as shown in the figure - note that c is a constant. The cross-sectional area and length of the bar are denoted by A and L, respectively, and it is made of a material with Young's modulus of elasticity E. The system governing equation can be written as EAd¹u(x) dx² +cx=0 0<x<L subject to: u(0)= 0 and Edu(x) =0 dx x=L q(x) = cx Use the Least-Squares method to determine an approximate cubic polynomial solution with evaluation points at x = = L and x = = 34. Question 4. [20 marks] A cantilevered bar is loaded by a linearly varying distributed load q(x) = cx as shown in the figure - note that c is a constant. The cross-sectional area and length of the bar are denoted by A and L, respectively, and it is made of a material with Young's modulus of elasticity E. The system governing equation can be written as EAd¹u(x) dx² +cx=0 0<x<L subject to: u(0)= 0 and Edu(x) =0 dx x=L q(x) = cx Use the Least-Squares method to determine an approximate cubic polynomial solution with evaluation points at x = = L and x = = 34.

Answer rating: 100% (QA)

e dy 41 qx ... View the full answer