A rectangular wooden beam (fb = 5.9 MPa, E = 17.3 GPa) has a cross-sectionalarea of 250 mm by 500 mm. The length of the beam is 15 meters with pin and roller supports every fifth points. A vibrating machine weighing 500 kg is located at the mid-lengthof the beam. The machine produces an unbalanced force of 500 N operating at 300 rpm.Determine the following: a) maximum static deformation under the weight of the machine, b) maximum dynamic stress in the beam section under the unbalanced force, c) force transmitted to the support, and d) adequacy of the beam against bending. Use a dampingratio of 5%.
A rectangular wooden beam (fb = 5.9 MPa, E = 17.3 GPa) has a cross-sectionalarea of 250 mm by 500 mm. The length of the beam is 15 meters with pin and roller supports every fifth points. A vibrating machine weighing 500 kg is located at the mid-lengthof the beam. The machine produces an unbalanced force of 500 N operating at 300 rpm.Determine the following: a) maximum static deformation under the weight of the machine, b) maximum dynamic stress in the beam section under the unbalanced force, c) force transmitted to the support, and d) adequacy of the beam against bending. Use a dampingratio of 5%.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A rectangular wooden beam (fb = 5.9 MPa, E = 17.3 GPa) has a cross-sectionalarea of 250 mm
by 500 mm. The length of the beam is 15 meters with pin and roller supports every fifth points. A vibrating
machine weighing 500 kg is located at the mid-lengthof the beam. The machine produces an
unbalanced force of 500 N operating at 300 rpm.Determine the following:
a) maximum static deformation under the weight of the machine,
b) maximum dynamic stress in the beam section under the unbalanced force,
c) force transmitted to the support, and
d) adequacy of the beam against bending. Use a dampingratio of 5%.
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