The concrete bridge pier, shown in the photo, supports a portion of a highway bridge. The centerline
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The concrete bridge pier, shown in the photo, supports a portion of a highway bridge. The centerline dimensions and the anticipated loading on the cap or top beam are shown in the figure. This beam has the cross section shown. The columns each have a diameter of 400 mm and are fixed-connected to the beam. Establish a structural model of the pier and justify any assumptions you have made. Perform a computer analysis to determine the maximum moment in the beam. As a partial check of the results, determine this moment using a classical method such as moment distribution, or use a deflection table. Neglect the weight of the members and the effect of the steel reinforcement within the concrete. Take E = 29.0 GPa.
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