(a) Using the Euler method, in two iterations, compute the moving end displacement of a strut....
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(a) Using the Euler method, in two iterations, compute the moving end displacement of a strut. The strut is attached to a linear spring as shown in Figure Q1. For the calculations, assume F=20 N, EA-5x10° N, yo=0.025 m, =2.5 m, K=0.135 kN/m and AF=10 N. The nonlinear relationship between the force Fand displacement y is given by EA F(y) = (vảy + voy + y) + Ky (5 marks) Figure Q1 (b) Discuss the accuracy of the computation using the Euler's method for part (a). Iterate back from the deformed position to F=0 N in one iteration and comment on the error. [3 marks) (c) Explain the Newton-Raphson method and discuss how this should be applied to compute the displacement for part (a). (2 marks) (a) Using the Euler method, in two iterations, compute the moving end displacement of a strut. The strut is attached to a linear spring as shown in Figure Q1. For the calculations, assume F=20 N, EA-5x10° N, yo=0.025 m, =2.5 m, K=0.135 kN/m and AF=10 N. The nonlinear relationship between the force Fand displacement y is given by EA F(y) = (vảy + voy + y) + Ky (5 marks) Figure Q1 (b) Discuss the accuracy of the computation using the Euler's method for part (a). Iterate back from the deformed position to F=0 N in one iteration and comment on the error. [3 marks) (c) Explain the Newton-Raphson method and discuss how this should be applied to compute the displacement for part (a). (2 marks)
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