What is the neutral axis for a rectangular beam with depth 'b'?

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For a rectangular beam with depth 'b', the neutral axis is located at the center, making y equal to b/2. This positioning is crucial for applying the engineers' bending equation, M/I = E/R = (sigma)/y. In contrast, for non-symmetric cross sections like a T-beam, the neutral axis is determined by an area-weighted average of the cross-section. Understanding the location of the neutral axis is essential for accurate calculations in structural engineering. This knowledge aids in analyzing bending stresses effectively.
Iclaudius
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Hello friends,

a question about the engineers bending equation,

M/I = E/R = (sigma)/y

so take for example a beam with a rectangular cross section with depth 'b'.
Will y then equal b/2 ? As y is measured from the neutral axis?

Thank you in advance for your time,
Claudius
 
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Yes, for a rectangular cross-section the neutral axis is centered in the beam. For non-symmetric cross sections such as a T-beam, it will be located at an area-weighted average of the cross-section.
 

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