Itrodutio to Corete Colum Deig Flow Chrt he Colum Deig Setio i Struet oti two mi prt: Chrt to develop tregth itertio digrm for give etio, d red -mde Colum Itertio Digrm, for quik deig of give olum. Corete olum i oe of the mot itere tig memer i orete truturl deig pplitio. A truturl deig of orete olum i quite omplited proedure. Evlutio, however, of give olum etio d reiforemet i trightforwrd proe. hi i due to the ft tht pure xil ompreio i rrel the e i olum li. Some vlue of momet i lw there due to ed retrit, or idetl eetriit due to out of ligmet. ACI etlihed the miimum eetriit o orete olum, regrdle of the trut url li propoed for the olum, whih i defied the mximum xil ompreio lod tht olum e deiged for. Colum Deig Chrt i Bullet: Oe of the demdig pet i orete olum deig i to defie the otrollig poit o tregth itertio digrm. he olum tregth itertio digrm i urve plot of poit; where eh poit h two ordite. he firt ordite i edig momet tregth d the eod i the orrepodig xil fore. Both ordite re liked with eetriit. he hpe of the urve, or the tregth itertio digrm, e defied fidig the ordite of mjor eve poit. Eh poit h peifi requiremet, etlihed the ode, d thu evlutig the requiremet of thi poi t will reult of lultig the ordite. he poit d their repetive requiremet re follow: oit : ure ompreio. oit 2: Mximum ompreio lod permitted ode t zero eetriit. oit 3: Mximum momet tregth t the mximum xil ompreio permitted ode. oit 4: Compreio d momet t zero tri i the teio ide reiforemet. ot 5: Compreio d momet t 50% tri i the teio ide reiforemet. oit 6: Compreio d momet t led oditio. oit 7: ure teio. Struet.om: Corete Colum Deig V.0 - ge
Nottio for Corete Colum Deig Flow Chrt depth of equivlet retgulr tre lok, i. depth of equivlet retgulr tre lok t led oditio, i. A g gro re of olum, i 2. A re of reiforemet t teio ide, i 2. A re of reiforemet t ompre io ide, i 2. A t otl re of reiforemet i olum ro etio, i 2. olum width dimeio, i. dite from extreme ompreio fier to eutrl xi, i. dite from extreme ompreio fier to eutrl xi t led oditio, i. C ompreio fore i equivlet orete lok. C ompreio fore i teio-ide reiforemet, if. C ompreio fore i ompreio-ide reiforemet. d dite from extreme ompreio fier to etroid of tei oide reiforemet d dite from extreme ompreio fier to etroid of ompreio-ide reiforemet e eetriit, i. e eetriit t led oditio, i. E modulu of eltiit of reiforemet, pi. f peified ompreive tregth of orete, pi. f peified teile tregth of reiforemet, pi. f tre i teio-ide reiforemet t tri ε, ki. f tre i ompreio-ide reiforemet t tri ε', ki. h overll olum depth, i. M omil edig momet t led oditio. M omil edig momet t poit. o omil xil lod tregth t zero eetriit. omil xil fore t led oditio. lim limit of omil xil lod vlue t whih low or h igh xil ompreio e defied i orde with ACI 9.3.2.2. omil xil lod tregth t poit. teio fore i teio-ide reiforemet. β? ftor defied ACI 0.2.7.3. ε tri i teio-ide reiforemet t lulted tre f ε' tri i ompreio-ide reiforemet t lulted tre f ε ield tri of reiforemet. φ tregth redutio ftor Struet.om: Corete Colum Deig V.0 - ge 2
Mi oit of Colum Itertio Digrm 3 Axil Compreio, φ mx. xil omp. 2 4 ε 0.0 5 ε 0.5ε 6 led omp. otrol teio otrol oitet φ pure teio Bedig Momet, φm 7 ireig φ oit : xil ompreio t zero momet. oit 2: mximum permiile xil ompreio t zero eetriit. oit 3: mximum momet tregth t mximum permiile xil ompreio. oit 4: xil ompreio d momet tregth t zero tri. oit 5: xil ompreio d momet tregth t 50% tri. oit 6: xil ompreio d momet tregth t led oditio. oit 7: momet tregth t zero xil fore. Struet.om: Corete Colum Deig V.0 - ge 3
oit : Axil Compreio t Zero Momet oit 2: Mximum ermiile Axil Compreio t Zero Eetriit Fidig oit A,A,f,f t g ACI 0.3.5. ( ) 085. f A A + f A o g t t Fidig oit 2 Spirl? (mx) 080. ACI 9.3.2.2 φ 070. o (mx) 085. ACI 9.3.2.2 φ 075. o φ (mx) 056. o φ (mx) 064. o Struet.om: Corete Colum Deig V.0 - ge 4
ACI 9.3.2.2 fidig φ Stregth Redutio Ftor Axil eio d Axil eio with Flexure Axil Compreio d Axil Compreio with Flexure φ 090. 00. f A g φ Spirl? φ 070. 0. 43f A g φ 075. 0. 33f A g > High Vlue of Axil Compreio ow Vlue of Axil Compreio Spirl φ 070. φ 075. Spirl? f 60 ki h d d 070. h Smmetri reif. Spirl? mi(0. 43 f Ag, ) mi(0. 33 f Ag, ) 02. φ 09. 05. φ 09. 02. φ 09. 05. φ 09. Struet.om: Corete Colum Deig V.0 - ge 5
ACI 0.2.7.3 f 4000 pi oit 3: Mximum Momet Stregth t Mximum ermiile Compreio fidig dite f 4000 085 005 β.. 065. 000 ( β ) β 085. ( 085 ) C A' f. f ( d )0. 003 ε f ε E ( 085 ) C A f. f h d A' A d d' 0.003 ε' ε tri tre C' C C ( d )0. 003 C A E 085. f C + C + C of poit 2 ( ) d 0. 003 085. f ( β) + A' ( f 085. f ) + A E 085. f Reult: β Compute: C, C' from ove Eq. ( ) ( ) ( ) M 05.C h + C 05.h d C 05.h d Struet.om: Corete Colum Deig V.0 - ge 6
oit 4: Axil Compreio d Momet t Zero Stri Fidig oit 4 ε 00. d β See Fidig β i poit 3 d ε 0. 003 A' d' 0.003 ε' C' C f mi( ε E,f ) h d ( 085 ) C A f. f A 0.0 tri tre 0.0 C + C h h M C + C d 2 2 2 e M φm & φ See fidig φ Struet.om: Corete Colum Deig V.0 - ge 7
Fidig oit 5 f ε E oit 5: Axil Compreio d Momet Stregth t 50% Stri d' 0.003 ε 05. ε A' ε' C' C d ε + 0. 003 h A ε 0.5ε tri tre β See Fidig β i poit 3 d ε 0. 003 f mi( ε E,f ) ( 085 ) C A f. f ( 05) A. f C + C h h h M C + C d + d 2 2 2 2 e M φm & φ See fidig φ Struet.om: Corete Colum Deig V.0 - ge 8
Fidig oit 6 oit 6: Axil Compreio d Momet Stregth t Bled Coditio f ε ε E 0. 003 0. 003 0. 003 ε + β See Fidig β i poit 3 d ε 0. 003 A' d' 0.003 ε' C' C f mi( ε E,f ) h A ( 085 ) C A f. f ε f /E tri tre f A C + C h h h M C C d d 2 2 + + 2 2 e M φm & φ See fidig φ Struet.om: Corete Colum Deig V.0 - ge 9
oit 7: Momet Stregth t Zero Axil Fore Fidig oit 7 A' d' 0.003 ε' ~0.0 C f A h A Af 085. f ε >ε tri tre β See Fidig β i poit 3 0. 003 ε d 0. 003 > ε f A h h M C + d 2 2 2 φ 09. See fidig φ φm Struet.om: Corete Colum Deig V.0 - ge 0