Friday, June 15, 2007

RE: Question regarding Cracking Moment

I was debating how best to respond to the question, but since Bill did
such a good job, I no longer feel the need to "debate" nor to answer the
question.

Regards,

Scott
Adrian, MI


On Fri, 15 Jun 2007 William.Sherman@CH2M.com wrote:

> Here are my thoughts, based on ACI 318-05:
>
> 1. In the Notations and Definitions, the modulus of rupture 'fr' is referenced to 9.5.2.3. Thus 'fr' is defined in the code as equal to '7.5(f'c)^0.5', regardless of what other references propose.
>
> 2. 'fr' is like 'Ec'; it is a property of the concrete and has the same value regardless of whether applied loads are factored or unfactored.
>
> 3. It is acceptable to compare service loads with 'fr' or factored loads with 'fr', depending upon the circumstances and goals.
>
> Bill Sherman
> CH2M HILL / DEN
> 720-286-2792
>
>
> ________________________________
>
> From: Anantha Narayan C.K. [mailto:anant_27@yahoo.com]
> Sent: Thursday, June 14, 2007 3:15 PM
> To: seaint@seaint.org
> Subject: Question regarding Cracking Moment
>
>
> Folks,
>
> Here is my question once again.
>
> I have questions regarding Cracking moment, Mcr and Modulus of rupture Fr issues with regard to ACI 318.
>
>
> * R10.11 of ACI 318 says gIf the factored moments and shears from an analysis based on the moment of inertia of a wall taken equal to 0.70 Ig indicate that the wall will crack in flexure, based on the modulus of rupture ccch. My interpretation of this statement in the commentary would lead me to compare the factored moments versus the cracking moment based on the modulus of rupture (which as you stated is a limit state) at strength level.
>
> * However, 18.3.3 talks about classification based on modulus of rupture at service level forces.
> * Chapter 14,14.8.2.4 talks about phi Mn > Mcr, where Mcr is given using fr
> * In his textbook, Dr. McGregor (Page 63, Fourth Edition) states that the 7.5 ãffc is used for deflection and 6 ã ffc is used for strength calculations (ACI 11.4.2.1). In Dr.Wangfs textbook, phi Mn is compared to Mcr. (please see attached file)
>
> As you can clearly see, I am quite confused as to what value of Fr is to be used at service level forces and what value of Fr is to be used at factored forces.
>
> Correct me if I am wrong, shouldnft a limit state such as modulus of rupture be at design level forces (factored)?
>
> I am really hoping that you can help me understand this part of the code.
>
> Also, what are your office standards as far as drift limits for buildings. We typically use H/400 to H/500 for 10 year winds and 3/8" max for interstory drifts. I would love to hear more suggestions/opinions.
>
> Thank you all
> Anantha
>
>
> VTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVTVT
>
> ANANTHA NARAYAN, E.I.
> Structural Engineer
> Bliss and Nyitray Inc.
> Miami, FL - 33134
>
> ________________________________
>
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>

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