Symmetric loading vs antisymmetric loading

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The discussion centers on the differences between symmetric and antisymmetric loading in beam analysis. The first case is identified as symmetric loading because the load is applied at the midspan, resulting in a consistent moment distribution. In contrast, the second case is considered antisymmetric due to the uneven application of loads, leading to an asymmetric moment diagram. The confusion arises from interpreting the loading conditions and their effects on the moment/deflection diagrams. Understanding these distinctions is crucial for accurate structural analysis.
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Homework Statement


For the circled beam , we can see that for both cases , the load are loaded in the same way ... Why the M / EI diagram for the first case is different from the second case ? Why for the first case , it's symmetric loading ? For the second case , it's antisymmetric loading ?

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The Attempt at a Solution


I think the second case is wrong . Only the first case make sense . From the figure , we can see that the load P is applied at the midspan of AB and CD . So . it's symmetric loading , am i right ?
 

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The loading is not symmetric in case 2.
Why?
 

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