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The bending moment diagram of a fixed ended beam with an external moment couple of 200 kip-ft applied at midspan is shown below.


The bending moment diagram of a fixed ended beam with an external moment couple of 200 kip-ft applied at midspan is shown below. The flexural rigidity EI is constant. In terms of El, determine


 (a) The equations for the slope v'(x) for each segment of the beam. 

 (b) The equations for the deflection v(x) for each segment of the beam. 

(c) The slope at midspan. 

(d) BONUS 15%): Determine the maximum vertical deflection, the maximum slope, and the locations of each.

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