Why Is a Minus Term Used in the Moment of Inertia Calculation for a T-Beam?

AI Thread Summary
The discussion centers on the calculation of the moment of inertia for a T-beam, specifically addressing the inclusion of a minus term when calculating the first moment of inertia. This term is likely related to the parallel axis theorem, which is used to combine individual area moment of inertia values into a single value referenced to the area centroid. Participants suggest that the extra term may be a simplification, focusing solely on the linear component rather than the squared terms. Clarification on the calculation method is sought, indicating a need for a detailed example to better understand the application. The conversation highlights the importance of correctly applying established principles in structural analysis.
teodorakis
Messages
88
Reaction score
0
Hi i tried to understand an old report about a beam, in the report maximum normal force due to bending is investigated , the normal procedure is applied nothing special actually they calculate the moment of inertia of a t-beam part by part and from m.c/I they solve the problem. I want to ask that in the calculation of moment of inertia an extra minus term which they added all the first moment of inertias and multiplied it by the center of mass value, what's this term is all about? i really doesn't see this term in any kind of inertia calculation.
Thank you for your help.
 
Engineering news on Phys.org
It would help if you would present this calculation in full, just copy is down even if you don't fully understand it.

It sounds like this may be an application of the parallel axis theorem in order to combine all of the individual area MOI values into a single value referred to the area centroid.
 
OldEngr63 said:
It would help if you would present this calculation in full, just copy is down even if you don't fully understand it.

It sounds like this may be an application of the parallel axis theorem in order to combine all of the individual area MOI values into a single value referred to the area centroid.

thank you for your kind response, i think it's like you said related with paralle axis theorem and they neglect the square and take only the term that i mention, it's nothing new:), i mean.
 
Posted June 2024 - 15 years after starting this class. I have learned a whole lot. To get to the short course on making your stock car, late model, hobby stock E-mod handle, look at the index below. Read all posts on Roll Center, Jacking effect and Why does car drive straight to the wall when I gas it? Also read You really have two race cars. This will cover 90% of problems you have. Simply put, the car pushes going in and is loose coming out. You do not have enuff downforce on the right...
I'm trying to decide what size and type of galvanized steel I need for 2 cantilever extensions. The cantilever is 5 ft. The space between the two cantilever arms is a 17 ft Gap the center 7 ft of the 17 ft Gap we'll need to Bear approximately 17,000 lb spread evenly from the front of the cantilever to the back of the cantilever over 5 ft. I will put support beams across these cantilever arms to support the load evenly
Thread 'What's the most likely cause for this carbon seal crack?'
We have a molded carbon graphite seal that is used in an inline axial piston, variable displacement hydraulic pump. One of our customers reported that, when using the “A” parts in the past, they only needed to replace them due to normal wear. However, after switching to our parts, the replacement cycle seems to be much shorter due to “broken” or “cracked” failures. This issue was identified after hydraulic fluid leakage was observed. According to their records, the same problem has occurred...
Back
Top