Symmetric loading vs antisymmetric loading

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In summary, the conversation discusses the differences between two cases of a circled beam, where the load is applied in a symmetric manner in the first case and an antisymmetric manner in the second case. The speaker questions why the M/EI diagram for the first case is different from the second case and confirms that the loading is not symmetric in the second case.
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fonseh
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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 ?

Homework Equations

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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  • #2
The loading is not symmetric in case 2.
Why?
 

FAQ: Symmetric loading vs antisymmetric loading

What is symmetric loading?

Symmetric loading refers to a type of loading in which the forces applied to a structure or system are distributed evenly and symmetrically. This means that the forces on one side of the structure are equal and opposite to the forces on the other side, resulting in a balanced load distribution.

What is antisymmetric loading?

Antisymmetric loading, also known as anti-symmetrical loading, is a type of loading in which the forces applied to a structure or system are distributed unevenly and asymmetrically. This means that the forces on one side of the structure are not equal and opposite to the forces on the other side, resulting in an unbalanced load distribution.

What are the differences between symmetric loading and antisymmetric loading?

The main difference between symmetric loading and antisymmetric loading is the way in which the forces are distributed. Symmetric loading results in a balanced load distribution, while antisymmetric loading results in an unbalanced load distribution. Additionally, symmetric loading is often used to create a stable and predictable response in a structure, while antisymmetric loading may be used to create a specific type of response, such as vibration.

What are some common examples of symmetric loading?

Some common examples of symmetric loading include evenly distributed weight on a bridge, balanced forces on a seesaw, and equal pressure on opposite sides of a container. In these cases, the forces are distributed symmetrically, resulting in a balanced load distribution.

What are some common examples of antisymmetric loading?

Some common examples of antisymmetric loading include a weight placed on only one side of a bridge, a person sitting on one side of a seesaw, and unequal pressure on opposite sides of a container. In these cases, the forces are distributed asymmetrically, resulting in an unbalanced load distribution.

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