Transformed section

[cve60069]

Dear All

I am working on a transformed section and I have found the attached pdf useful. My only "unknown" is the with the use of (m-1) when assigning a value to the transformed steel-areas. Should (m-1) read 1/m, please?

Regards

 

[ishvaaag]

Please re-upload the attachment, it seems it doesn't open.

 

[paddingtongreen]

It won't open. How is "m" derived?

Michael.
Timing has a lot to do with the outcome of a rain dance.

 

[BAretired]

The attachment won't open for me either, but I believe (m-1) refers to the modular ratio between steel and concrete less the area of concrete displaced by the steel. The value of (m-1) is used only when the steel is in compression. When in tension, use m.

BA

 

[cve60069]

Sorry

This is the file again.

 

[cve60069]

I have attached the pdf as a JPG.

 

[mattaem]

m is the ratio of the steel modulus to the concrete modulus. When doing transformed sections m is used to "transform" the steel area into equivalent concrete area. The reason for the m-1 is that when the steel area is expanded in an un-cracked section the steel area inside the concrete needs to be subtracted.

As(m-1) = As*m - As

As*m = expanded steel
-As = subtracted steel area

If the section is cracked than no subtraction is needed and the term is just

As*m

 

[cve60069]

Thanks

I should have expanded the bracket and I may have seen that.

Thanks for all your help.