Single Angle Stress Calculation

[MER3]

I have a structural steel textbook with one example for calculating the stresses in a single angle subject to flexure. I have about 75% of the information I need to understand the concept completely. I understand that you have to calculate the product of inertia in order to properly calculate stresses. Does anyone know of a good reference for clearly explaining how to calculate the product of inertia of a single angle with the leg in compression and tension?

All of this is before I even begin to tackle the AISC method of calculating allowable stresses.

Thanks

 

[MotorCity]

Not sure what you mean by "product of inertia". If you are referring to moment of inertia, that property is located in the member tables in AISC for all angle shapes.

 

[rb1957]

i think he's looking for the principal moments of inertia of the section ?

If so, see any structural engineering text, "second moment of area"

another day in paradise, or is paradise one day closer ?

 

[Hokie93]

You should find a discussion of the product of inertia (I_xy) in most any mechanics of materials textbook, particularly an advanced mechanics of materials textbook. The topic is often included under "unsymmetrical bending". The Salmon and Johnson structural steel textbook includes an example problem for determining bending stresses in a laterally unsupported angle. You might also look at the example problems on the AISC website. I know they cover geometric and principal axis bending of single angles.

 

[MacGruber22]

Doesn't every young engineer have Hibbeler's Mechanics of Materials text? The derivation of Ixy is in there.

"It is imperative Cunth doesn't get his hands on those codes."

 

[MER3]

Yes Hibbeler has an explanation of it. I was looking for more examples of how to do it. If I take what Hibbeler does and apply it to a single angle I have no way of knowing if I am doing it correctly which is why I was looking for another example.

 

[KootK]

I've got a copy of this which has some examples: Link. Unfortunately, you can't buy a digital copy and have it in hand right away.

I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.

 

[MacGruber22]

AISC's design examples are available too. Though, you don't need them for calculating rx unless you have a custom shape. rx along with the other principal axis geometric properties is tabulated in the steel manual.

"It is imperative Cunth doesn't get his hands on those codes."

 

[KootK]

The book that I mentioned tabulates some sectional data that you may be able to check against. An excerpt is shown below.

I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.