How Do You Calculate Slope and Deflection in a Triangular Load Beam?

AI Thread Summary
Calculating slope and deflection in a triangular load beam requires accurately determining the loading function, particularly for sections 0 < x < L/2 and L/2 < x < L. It's suggested to split the triangular load into two back-to-back triangular loads for clarity. Constructing a shear diagram is also recommended, as it aids in accurately creating the moment diagram. Properly addressing these aspects is essential for solving the problem effectively. Understanding these principles will lead to more accurate calculations of slope and deflection.
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For this problem, I think that something is wrong with my moment equation, I am not sue how to find the loading as a function of x for this triangle shape.

Do I need to account for the sections 0 < x < L/2 and L/2 < x < L??
 

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It's best to split this single load into 2 triangular loads imposed back-to-back.

I think you should also construct the shear diagram. It can help with getting the moment diagram correctly.
 

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