T-beams and Second moment of area

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To find the second moment of area (I sub z) for an upright T-beam, one must calculate the area moment of inertia for the rectangular sections of the beam. The parallel axis theorem is crucial for adjusting the moment of inertia when the axis of rotation is not through the centroid of the shape. Resources such as Vectorial Mechanics: Static textbooks provide detailed explanations of this theorem. The discussion highlights the importance of understanding both the area moment of inertia for rectangles and the application of the parallel axis theorem. Overall, the participants successfully clarified the procedure for calculating I sub z for the T-beam.
Kramjit
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Greetings all,

Given an upright T-beam (really a T when you look at it) with all dimensions given, what is the procedure for finding the second moment of are about the z axis (I sub z)?

Thank you so much.
 
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Since this is boarderline a homeowork question, I'll try to help without helping too much.

Do you know how to find the area moment of inertia for a rectangle about an axis (hint: you have two of them in your problem)? Do you know what the parallel axis theorem is?
 
Yes I do know how to find the second moment of area rectangles. But I am not sure of the parallel axis theorem.
 
The Parallel axis theorem or Steiner's theorem is on any Vectorial Mechanics: Static book.

http://en.wikipedia.org/wiki/Parallel_Axis_Theorem"
 
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Thank you

Thank you all that responded. I understand fully now.

Cyclovenom said:
The Parallel axis theorem or Steiner's theorem is on any Vectorial Mechanics: Static book.

http://en.wikipedia.org/wiki/Parallel_Axis_Theorem"
 
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