The long wood beam in Problem 10.14 is subjected to a distributed load w over length L' = 3.00 m. Determine the magnitude of w based on a factor of safety SF = 2.00.
Problem 10.14
A long wood beam (E = 12.4 GPa) of depth 200 mm and width 60 mm is supported by 100-mm rubber cubes placed equidistant along the beam at l = 600 mm. The cube edges are parallel and perpendicular to the axis of the beam. The rubber has a spring constant of k0 = 0.330 N/mm3. A load P isapplied to the center of the beam located over one of the rubber cubes.
a. If the wood has a yield stress of Y = 40.0 MPa, determine the magnitude of P based on a factor of safety SF = 2.50. What is the maximum pressure developed between the rubber and beam?
b. Does l satisfy Eq. 1 0.20?
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