Determine a1 and a2 for approximating polynomial

Reference no: EM13692669

PROBLEM 1:

Verify thatAEL 476_Elastic foundation.png Is given by the condition 2441_Elastic foundation1.png for the problem illustrated:

2059_Elastic foundation2.png

PROBLEM 2:

The rigid bar ij of length L rests on an elastic foundation. When displaced vertically by v the foundation applies a force f=Kvdx to a length dx of the bar. K is constant find the 2x2 stiffness matrix

915_Elastic foundation3.png

PROBLEM 3:

For the governing equation ∂u/∂x + 20 - 16x = 0 in the range 0<x<1 with BC u=0 @ x=0

1. Determine a₁ and a₂ for the approximating polynomial u^-=a₁x+a₂ x²

2. The percentage errors at x=0.5 and x=0.7 compared to the exact solution of u = 4(e(^-2x)-1)+8x

Reference no: EM13692669

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