Quick Method of Calculating the 2nd Moment Of Area Of an I Beam

[tomtomtom1]

TL;DR Summary

Quick Method of Calculating 2nd Moment Of Area Of I Beam

Hi All

I was wondering if there was a quick method of calculating the Second Moment Of Area about the Z axis shown below?

I can quickly work out the Second Moment Of Area about the Y axis but the Z axis is proving very difficult and time consuming as the parallel axis therom needs to be applied to each shape.

Any ideas?

Thank you.

 

[PhanthomJay]

Summary:: Quick Method of Calculating 2nd Moment Of Area Of I Beam

Hi All

I was wondering if there was a quick method of calculating the Second Moment Of Area about the Z axis shown below?

I can quickly work out the Second Moment Of Area about the Y axis but the Z axis is proving very difficult and time consuming as the parallel axis therom needs to be applied to each shape.

Any ideas?

Thank you.

View attachment 255519

you don’t have to use the parallel axis theorem at all. Why not try using the moment of Inertia about the centroid of each of the three shapes, after first determining base and height correctly for each shape.