The structure of a football goal is shown in the figure below. The bending motion of the structure can be represented by a flexible cantilever beam with tip mass M¡ as shown in the figure. The tip mass M, represents the mass of the horizontal crossbar which is assumed to be rigid in this motion. A single vertical straight beam having mass of MH, shown in the figure below, is the equivalent model for the two symmetrical vertical posts. A soccer ball of mass M, hits the horizontal crossbar with the velocity of Vp. x(t) м, VINGLI SOLAR The response of the horizontal crossbar, mass M, is shown by x(t) in the figure. The vertical beam has a circular cross section of radius r, Young's modulus E and length L. For numerical calculations, use M, = 23.2130 kg, MH = 28.6617 kg. M, = 0.5497 kg, Vý = 8.8974 m/s, L= 2.7757 m, E = 133.5685 GPa andr= 0.0437 m. For circular cross- section I = Tr/4.Considering zero damping and the numerical data given above, obtain the maximum amplitude of response x(t) after it was hit by soccer ball Mp.

The structure of a football goal is shown in the figure below. The bending motion of the structure can be represented by a flexible cantilever beam with tip mass M¡ as shown in the figure. The tip mass M, represents the mass of the horizontal crossbar which is assumed to be rigid in this motion. A single vertical straight beam having mass of MH, shown in the figure below, is the equivalent model for the two symmetrical vertical posts. A soccer ball of mass M, hits the horizontal crossbar with the velocity of Vp. x(t) м, VINGLI SOLAR The response of the horizontal crossbar, mass M, is shown by x(t) in the figure. The vertical beam has a circular cross section of radius r, Young's modulus E and length L. For numerical calculations, use M, = 23.2130 kg, MH = 28.6617 kg. M, = 0.5497 kg, Vý = 8.8974 m/s, L= 2.7757 m, E = 133.5685 GPa andr= 0.0437 m. For circular cross- section I = Tr/4.Considering zero damping and the numerical data given above, obtain the maximum amplitude of response x(t) after it was hit by soccer ball Mp.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.3.27P: The centrifuge shown in the figure rotates in a horizontal plane (the x-y plane) on a smooth surface...

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