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a beam ab length l is simply supported loaded as shown. moment of inertia I for left half and 2I for right half.calculate slope at ends and deflection at midspan and under the point loads
in Strength of Materials by  

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The magnitudes and positions of the point loads are not specified in your question. This problem can be easily solved by the conjugate beam method, as discussed in the video lecture and the textbook on Structural Analysis (where a similar example problem has been solved).