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(Solved): A balance beam as shown below is constructed by gluing a harder piece of wood on top of a softer an ...
A balance beam as shown below is constructed by gluing a harder piece of wood on top of a softer and more flexible piece of wood as shown below. If a person with a weight of is being supported in the center of this balance beam, what is the transverse shearing stress that will occur along the glued joint between the two types of wood? ( 20 pts)
Expert Answer
To determine the transverse shearing stress that will occur along the glued joint between the two types of wood, we need to calculate the maximum shear stress at the glued joint.First, let's determine the reaction force at each end of the beam. Since the beam is in equilibrium, the sum of the forces acting on it must be zero. The weight of the person is acting downwards, and we can assume that the weight is acting at the center of the beam. Therefore, each reaction force must be half of the weight of the person, which is: