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A horizontal 3-ft long ASTM 50 cast iron beam with fixed ends and having a rectangular cross sectional dimensions H x B (H=2B) is

  

A horizontal 3-ft long ASTM 50 cast iron beam with fixed ends and having a rectangular cross sectional dimensions H x B (H=2B) is to be bumped at midspan, perpendicular to the axis of the beam, by a 50-lb rigid body moving horizontally at a striking velocity of 20 miles per hour. If the beam's maximum stress value matches its ultimate point, determine its dimensions H and B?

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