twenty one concrete construction: shear & deflection Shear in Concrete Beams ACI Shear Values ACI Shear Values
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1 ARCHIECURA SRUCURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOS SUMMER 07 leture twenty one Shear n Conrete Beam lexure ombne wth hear to orm agonal rak horzontal renorement oen t help trrup = vertal renorement onrete ontruton: hear & eleton Copyrght Krk Martn Conrete Shear eture Arhtetural Struture F009abn Conrete Shear ACI Shear Value V u at tane rom ae o upport hear apaty: V b where b w mean thkne o web at n.a. w ACI Shear Value hear tre (beam) = 0.75 or hear n p V b w λ or lghtweght mat l hear trength: V u V V V trength rom trrup renorement Conrete Shear Conrete Shear 4
2 Strrup Renorement hear apaty: V A A v = area n all leg o trrup = pang o trrup v y Requre Strrup Renorement 50 bw 0.75 bw greater o maller o yt Avyt 50 bw yt Avyt 0.75 b w (Vu V ) yt Av yt Vu V may nee trrup when onrete ha enough trength! V bw (ACI...) NOE: eton number are pre ACI 8-4 Conrete Shear 5 Conrete Shear 6 oronal Stre & Stran an ee toronal tree & twtng o ax-ymmetral ro eton torque reman plane untorte rotate not true or quare eton... Shear Stre Dtrbuton epen on the eormaton = angle o twt meaure an prove planar eton oen t tort Conrete Shear 7 Conrete Shear 8
3 Shearng Stran relate to the raal tane rom the entro to the pont uner tran hear tran vare lnearly along the rau: at outer ameter oronal Stre - Stran know o v G G where G the Shear Moulu Conrete Shear 9 Conrete Shear 0 oronal Stre - Stran rom an erve where J the polar moment o nerta elat range ( ) A J J Shear Stre happen at outer ameter ombne hear axal tree mum hear tre at 45 twte plane Conrete Shear Conrete Shear
4 Shear Stran knowng olve: G JG ompote hat: J G J Nonrular Shape toron epen on J plane eton on t reman plane tll at outer ameter ab where a longer e (> b) ab G Conrete Shear Conrete Shear 4 Open hn-walle Seton wth very large a/b rato: Conrete Shear 5 ab ab G Shear Flow n Cloe Seton q the nternal hear ore/unt length a the area boune by the enterlne the length egment, t the thkne Conrete Shear 6 ta a 4t t 4
5 Shear Flow n Open Seton eah egment ha proporton o wth repet to toronal rgty, t b t total angle o twt: oronal Shear Stre twtng moment beam hear b G t I beam - web thker, o n web Conrete Shear 7 Conrete Shear 8 oronal Shear Renorement loe trrup more longtunal renorement Development ength requre to allow teel to yel ( y ) tar hook moment at beam en area enloe by hear low ple lappe mehanal onnetor Conrete Shear 9 Conrete Shear 0 5
6 Development ength l, embement requre both e proper over, pang: No. 6 or maller l No. 7 or larger Conrete Shear l b b y 5 y 0 or n. mnmum or n. mnmum Development ength hook ben extenon mnmum by lh 50 Conrete Shear Development ength bar n ompreon by l yb 50 ple tenon mnmum unton o l ple laaton ompreon mnmum unton o b F y Conrete Deleton elat range I tranorme E (wth n p) normal weght onrete (~ 45 lb/t ) onrete between lb/t rake I rake E ajute Conrete Shear Conrete Shear 4 6
7 Deleton mt relate to whether or not beam upport or attahe to a amageable nontrutural element nee to hek erve lve loa long term eleton agant thee /80 /40 /60 /480 roo ytem (typal) lve loor ytem (typal) lve + long term upportng plater lve upportng maonry lve + long term Conrete Shear 5 7
twenty four concrete construction: shear & deflection Shear in Concrete Beams ACI Shear Values ACI Shear Values
FOUNDAIONS SRUCURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOS FA 0 leture twent four Shear n Conrete Beam flexure omne wth hear to form agonal rak horzontal renforement oen t help trrup = vertal renforement
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ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2014 lecture twenty one concrete construction: Copyright Kirk Martini shear & deflection Concrete Shear 1 Shear in Concrete
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