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 MT as shown in the figure. The tip mass Mfrepresents 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, U YINGLI SOLAR NGL LAF 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 M7 = %3D 7.9108 kg, MH = 22.0542 kg, M, = 0.9909 kg, V½ = 5.9645 m/s, L = 2.4468 m, E = 77.7443 GPa and r = 0.0749 m. For circular cross-section / = n/4.Considering zero damping and the numerical data given = TT above, obtain the maximum amplitude of response x(t) after it was hit by soccer ball Mp. 3.8491 mm 4.7691 mm 0.7225 mm 2.5990 mm 1.5282 mm

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 MT as shown in the figure. The tip mass Mfrepresents 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, U YINGLI SOLAR NGL LAF 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 M7 = %3D 7.9108 kg, MH = 22.0542 kg, M, = 0.9909 kg, V½ = 5.9645 m/s, L = 2.4468 m, E = 77.7443 GPa and r = 0.0749 m. For circular cross-section / = n/4.Considering zero damping and the numerical data given = TT above, obtain the maximum amplitude of response x(t) after it was hit by soccer ball Mp. 3.8491 mm 4.7691 mm 0.7225 mm 2.5990 mm 1.5282 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.11P: A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a...

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