question about yield moment

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sia_perestij
Posts: 5
Joined: Sun May 16, 2010 5:09 am
Location: urmia university

question about yield moment

Post by sia_perestij »

Hi every one ! I had a question ...
I'm new to opensees and I was reading the example files to learn it. I'm having a problem in defining material properties.
I was checking a file named "Ex5.Frame2D.build.InelasticSection" and I saw this :

-----------------------------------------------------------------------------------------------------------

# define MATERIAL properties ----------------------------------------
set Fy [expr 6.0*$ksi]
set Es [expr 29000*$ksi]; # Steel Young's Modulus
set nu 0.3;
set Gs [expr $Es/2./[expr 1+$nu]]; # Torsional stiffness Modulus

# COLUMN section W27x114
set AgCol [expr 33.5*pow($in,2)]; # cross-sectional area
set IzCol [expr 4090.*pow($in,4)]; # moment of Inertia
set EICol [expr $Es*$IzCol]; # EI, for moment-curvature relationship
set EACol [expr $Es*$AgCol]; # EA, for axial-force-strain relationship
set MyCol [expr 2e4*$kip*$in]; # yield moment
set PhiYCol [expr 0.25e-3/$in]; # yield curvature
set PhiYCol [expr $MyCol/$EICol]; # yield curvature
set EIColCrack [expr $MyCol/$PhiYCol]; # cracked section inertia
set b 0.01 ; # strain-hardening ratio (ratio between post-yield tangent and initial elastic tangent)
uniaxialMaterial Steel01 $ColMatTagFlex $MyCol $EIColCrack $b; # bilinear behavior for flexure
uniaxialMaterial Elastic $ColMatTagAxial $EACol; # this is not used as a material, this is an axial-force-strain response
section Aggregator $ColSecTag $ColMatTagAxial P $ColMatTagFlex Mz; # combine axial and flexural behavior into one section (no P-M interaction here)
----------------------------------------------------------------------------------------------------------------

I wanted to know what is "Mycol" ? Is that like some particular number that I should find in tables?
Or I should calculate that? Cause when I try to calculate it I do like this:

F = ( M * y ) / Iz (stress in bending)

So :

Fy = ( My * y ) / Iz ( stress in yield point)


6 = ( My * (27.29/2)) / 4090 ( (27.29/2) is the half of the height of W27x114)

then

My = 1799 kip

Where am I doing wrong?

and if you also explain about PHiYcol= 0.25*10e-3 I whould be glad :)
davidli506
Posts: 8
Joined: Mon Jan 04, 2010 2:17 pm
Location: SFSU

Re: question about yield moment

Post by davidli506 »

Hello,

"Mycol" is the yield moment of the member. You can either calculate or look this value up for the section W27x114. If you look up W27x114 in the AISC manual you will find that the section modulus Zx = 343 in^3. My = Zx*Fy = 343 in^3 * 6 ksi = 2058 k-in. In the script they have 2e4 which comes out to 20000; I am not sure why they have that value.

David
vesna
Posts: 3033
Joined: Tue May 23, 2006 11:23 am
Location: UC Berkeley

Re: question about yield moment

Post by vesna »

PhiYCol is a curvature at yielding. It is My/EI, where My is a moment at yielding.
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