arch324-w09-lecture-unit3.ppt

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Unless otherwise noted, the content of this course material is licensed under a Creative Commons Attribution 3.0 License. http://creativecommons.org/licenses/by/3.0/ © 2009, Peter Von Buelow You assume all responsibility for use and potential liability associated with any use of the material. Material contains copyrighted content, used in accordance with U.S. law. Copyright holders of content included in this material should contact [email protected] with any questions, corrections, or clarifications regarding the use of content. The Regents of the University of Michigan do not license the use of third party content posted to this site unless such a license is specifically granted in connection with particular content. Users of content are responsible for their compliance with applicable law. Mention of specific products in this material solely represents the opinion of the speaker and does not represent an endorsement by the University of Michigan. For more information about how to cite these materials visit https://open.umich.edu/education/about/terms-of-use. Any medical information in this material is intended to inform and educate and is not a tool for self-diagnosis or a replacement for medical evaluation, advice, diagnosis or treatment by a healthcare professional. You should speak to your physician or make an appointment to be seen if you have questions or concerns about this information or your medical condition. Viewer discretion is advised: Material may contain medical images that may be disturbing to some viewers.

Transcript of arch324-w09-lecture-unit3.ppt

Unless otherwise noted, the content of this course material is licensed under a Creative Commons Attribution 3.0 License. http://creativecommons.org/licenses/b/3.0/! "00#, $eter %on &uelow'ou assume all responsibilit for use and potential liabilit associated with an use of the material. (aterial contains coprighted content, used in accordance with U.). law. Copright holders of content included in this material should contact open.michigan*umich.edu with an +uestions, corrections, or clari,cations regarding the use of content.-he .egents of the Universit of (ichigan do not license the use of third part content posted to this site unless such a license is speci,call granted in connection with particular content. Users of content are responsible for their compliance with applicable law. (ention of speci,c products in this material solel represents the opinion of the spea/er and does not represent an endorsement b the Universit of (ichigan. 0or more information about how to cite these materials visit https://open.umich.edu/education/about/terms1of1use.An medical information in this material is intended to inform and educate and is not a tool for self1diagnosis or a replacement for medical evaluation, advice, diagnosis or treatment b a healthcare professional. 'ou should spea/ to our phsician or ma/e an appointment to be seen if ou have +uestions or concerns about this information or our medical condition. %iewer discretion is advised: (aterial ma contain medical images that ma be disturbing to some viewers.University of Michigan, TCAUP Structures II Slide 2/25Architecture 324Structures IIComined Materials ! Strain Com"atiility! Transformed Sections! #litched $eamsUniversity of Michigan, TCAUP Structures II Slide %/25Strain Com"atiility&ith the t'o materials onded together, oth 'ill act as one and the deformation in each is the same(Therefore, the strains 'ill e the same in each under a)ial load,and in fle)ure stains are the same as in a solid section, i(e( linear(In fle)ure, if the t'o materials are at the same distance from the *(A(, they 'ill have the same strain at that "oint(Therefore, the strains are +com"atile,(#le)ureA)ialSource- University of Michigan, .e"artment of Architecture Source- University of Michigan, .e"artment of Architecture University of Michigan, TCAUP Structures II Slide //25Strain Com"atiility 0cont(1The stress in each material is determined y using 2oung3s Modulus Care must e ta4en that the elastic limit of each material is not e)ceeded, in either stress or strain( E =Source- University of Michigan, .e"artment of Architecture Source- University of Michigan, .e"artment of Architecture University of Michigan, TCAUP Structures II Slide 5/25Transformed Sections$ecause the material stiffness 5 can vary for the comined materials, the Moment of Inertia, I , needs to e calculated using a +transformed section,(In a transformed section, one material is transformed into an e6uivalent amount of the other material(The e6uivalence is ased on the modular ratio, n($ased on the transformed section, Itr can e calculated, and used to find fle)ural stress and deflection(BAEE= nSource- University of Michigan, .e"artment of Architecture University of Michigan, TCAUP Structures II Slide 7/25#litched $eams 8 Sca Plates! Com"atile 'ith 'ood structure, i(e( can e nailed! 9ighter 'eight than steel section! 9ess dee" than 'ood alone! Stronger than 'ood alone! Allo' longer s"ans! Can e designed over "artial s"an to o"timi:e the section 0sca "lates1Source- University of Michigan, .e"artment of Architecture Source- University of Michigan, .e"artment of Architecture University of Michigan, TCAUP Structures II Slide ;/25Analysis Procedure-