Thickness of supporting ceilng required

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jer300
A false ceiling made of PVC is fixed around the edges. The ceiling has several point loads distributed on it. Given the ceiling dimensions, yield strength of PVC and the weights and locations of the loads, how do I calculate the required thickness of the ceiling to prevent it deforming plastically? (ignore thermal creep)
See attached sketch.
 

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This type of thread is problematical because it involves the safety of the people who are standing under the ceiling, and because we cannot know everything about the situation. In general, if you have to ask these types of questions on the Internet, you probably should not be doing the project.

It is much better to find a local Mentor who can help you learn how to design and build such structures. They will be able to help you do the project safely, and learn how to do it on your own the next time.

Thread will remain closed.