STRUNET CONCRETE DESIGN AIDS
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1 Introtion to Conrete Bem Deign Flow Chrt The onrete em eign low hrt re the ollowing jet: For retnglr em with given imenion: Anlzing the em etion to etere it moment trength n th eining the em etion to e t one o the ollowing e: Ce : Retnglr em with tenion reinorement onl. Thi e eit i the moment trength i lrger tht the ltimte (tore) moment. Ce : Retnglr Bem with tenion n ompreion reinorement. Thi e m eit i the moment trength i l e thn the ltimte (tore) moment. For T-etion onrete em: Anlzing the em T -etion to etere it moment trength n th eining the em etion to e one o the ollowing e: Ce : The epth o the ompreion lo i within the lnge portion o the em, i.e, the netrl i N.A. epth i le thn the l thinne, mere rom the top o the l. Thi e eit i moment trength i lrger thn ltimte moment. Ce : The epth o the ompreion lo i eeper t hn the lnge thine, i.e. the netrl i i lote elow the ottom o the l. Thi e eit i the moment trength o T -etion em i le tht the ltimte (tore) moment. Bem Setion Sher Strength: two eprte hrt otline in et il Sher he. One i i her he, n two i etile her he, in orer to hnle repetitive em her reinorement eletion. See her he introtion pge or rther etil. In n o the e mentione ove, etile proere n eqtion re hown within the hrt over ll eign pet o the element ner invetigtion, with ACI repetive proviion. Strnet.om: Conrete Bem Deign.0 - Pge
2 Nottion or Conrete Bem Deign Flow Chrt epth o eqivlent retnglr tre lo, in. epth o eqivlent retnglr tre lo t lne onition, in. m epth o eqivlent retnglr tre lo t mimm rtio o tenion-reinorement, in. A re o tenion reinorement, in. A re o reinorement t ompreion ie, in. with o em in retnglr em etion, in. e eetive with o lnge in T-etion em, in. w with o we or T-etion em, in. itne rom etreme ompreion ier to netrl i, in. itne rom etreme ompreion ier to netrl i t lne onition, in. C ompreion ore in eqivlent onrete lo. C ompreion ore in ompreion reinorement. itne rom etreme ompreion ier to entroi o tenion -ie reinorement. itne rom etreme ompreion ier to entroi o ompreion - ie reinorement. E mol o eltiit o reinorement, pi. peiie ompreive trength o onre te. peiie tenile trength o reinorement. M n nol ening moment. M n l moment trength t lne onition. M tore (ltimte) ening moment. R oeiient o reitne. t l thine in T-etion em, in. β tor eine ACI ε onrete trin t etreme ompreion ier, et t ε' trin in ompreion-ie reinorement. ε iel trin o reinorement. rtio o tenion reinorement. rtio o tenion reinorement t lne onition. rtio o reinorement eqivlent to ompreion ore in l o T - etion em. m mimm rtio o tenion reinorement permitte ACI imm rtio o tenion reinorement permitte ACI0.5.. req reqire rtio o tenion reinorement. φ trength retion tor. Strnet.om: Conrete Bem Deign.0 - Pge
3 Moment Strength o Retnglr Conrete Bem Given:,, ',, M, Retnglr Bem ining lne moment trength ε ε E E 9, 000, 000 pi ε ε + ε ACI ACI ACI ining m 4000pi β β 085. β ACI φ 09. ACI β 075. m ACI , 000 β 87, ACI m φm n l φ 085. m m 075. M <φm n l tr retnglr em with tenion n ompreion teel e retnglr em with tenion teel onl Strnet.om: Conrete Bem Deign.0 - Pge 3
4 Retnglr Conrete Bem with Tenion Reinorement retnglr em with tenion teel onl R M φ ACI 0.5. m o R < req ' > m 33. ACI 0.5. e STOP. go to retnglr em with tenion n ompreion teel A elet reinorement, A 0.85 ' C A 085. φm n φ 085. T A proee to her eign Strnet.om: Conrete Bem Deign.0 - Pge 4
5 Retnglr Bem with Tenion & Compreion Reinorement retnglr em with tenion n ompreion teel M M φmn l '.5" M φ. ( 085 )( ) ε m + ε 0.85 ' ' teel t tenion ie A C C A' teel t omp. ie A A elet reinorement A & A' T in the new proee to he ompreion teel iel ( ) A A A A β ε ε Strnet.om: Conrete Bem Deign.0 - Pge 5
6 Retnglr Bem with Tenion & Compreion Reinorement (ont.) ε > ε ompreion teel m e neglete, n th moment trength i llte e on the tenion teel onl. Alterntivel: ompreion teel oe T iel ompreion teel iel ( A 87A ) ± ( A 87A ) + 4( β)( 87A ) (. β ) 085 C 085. ( 085 ) C A. E ε < φm φ C + C ( ) M n φm n φ A ( ) lterntivel n φ M A lterntivel φm φm + φ M M n n n l proee to her eign Strnet.om: Conrete Bem Deign.0 - Pge 6
7 T-Setion Bem Moment Strength o T-Setion Bem ACI ACI ining m Given: w, e,, ',, M ining lne moment t ACI pi β β 085. let t ACI φ 09. C 085. t e t φmn φc ACI β , 000 β 87, t 085 e w 075 w m. + e w M <φm n e T-Setion e e T-Setion e t e A w Strnet.om: Conrete Bem Deign.0 - Pge 7
8 T-Setion Bem Ce - T-Setion e R M φ e 085. R 085. < m STOP. e ompreion teel t T-Setion veri epth o ompreion lo R 085. ACI 0.5. m o 3 00 ontintion o previo heet > t STOP. go to T-Setion e ACI elet reinorement, A < he moment trength A. 33 e e A 085. Alterntivel: A 085. e φm n φ 085. Strnet.om: Conrete Bem Deign.0 - Pge 8 proee to her eign
9 T-Setion e T-Setion Bem Ce - ( )( ) M t e w 05. t 085. φw w 085. A w + t(e w) [ ] t e A m e m A A m A w STOP. revie to inle ompreion teel elet reinorement, A A t e 085. w w w C 085. w C 085. t e w t φm C + C M n proee to her eign Strnet.om: Conrete Bem Deign.0 - Pge 9
10 Introtion to Conrete Bem Sher Deign Conrete Bem Sher Deign Introtion n iion: The pproh o the em her he hrt i to eine the nol her trength o the onrete, then ompre it with the ltimte her ore t the ritil etion, n eqent etion. Sher reinorement lltion i perorme, where pplile. The her hrt re preente into two prt. One i the Sher Bi Chrt, whih i otlining the proere o the her eign in orne with ACI pplile oe proviion. The eon, Sher Detile Chrt, i otlining the tep reqire or repetitive her he. The etile hrt provie mh vrile n or enrio neee to ilitte the retion o tomte her he pplition. The onept in eleting tirrp i e on n inpt o the r imeter ( ) o the tirrp to e e, ll #3, 4, or 5, well the nmer o leg n th ining the ping () reqire. The her hrt intentionll i not inle the ollowing ACI proviion e to p rtil n eonomil jtiition: Detile metho o ACI.3.. or llting nol her trength o onrete, v. The reon i the vle /M i not ontnt long the em pn. Althogh the tirrp ping relting rom the etile metho m e.5 lrger thn tht o the iret metho ing ACI.3.. t the ritil etion onl, the e o the etile metho i not prtill jtiie eon thi ritil etion, i.e. eon itne rom the e o pport. Sher reinorement inline tirrp per.5.6.3, n ent p r per n Onl vertil tirrp per.5.6. re e, ine other tpe o her reinorement re not eonomill jtiie. Strnet.om: Conrete Bem Deign.0 - Pge 0
11 Nottion or Conrete Bem Sher Deign w With o em (we) lerl epth o the em, in. onrete ompreive trength verge plitting tenile trength o lightweight onrete t L N N l req req φ n m reinorement iel trength em ler pn, rom pport e to other pport e. nmer o tirrp reqire within given egment o the em nmer o leg or eh tirrp onrete nol her trength nol her trength provie the her reinorement nol her trength provie her reinorement t the etion where i the m permitte ACI.... loting o thi etion i neee to eine whih mimm proviion pplie, i.e or reqire nol her trength provie her reinorement. tore her ore t the e o the em pport tore her ore t itne rom the e o the pport in orne with.3.. thi i the ritil her ore provie tht: pport i jete to omprei ve ore. no onentrte lo on the em within the itne. tore her ore t the mi-pn o the em, will not e zero i the em i prtill loe with perimpoe lo (i.e. live lo on hl the em pn) ree her trength o the em etion lote long the em pn where imm her reinorement i reqire in orne with ping o tirrp within the ritil etion. ping o tirrp within n etion eqent t o the ritil etion. m mimm tirrp ping permitte.5.4. or reqire tirrp ping t the etion oniere req the itne long the em t whih or. or n em etion within the itne, i e on.5.4.3, otherwie i e on.5.4. itne rom the e o the pport long the em pn ter whih imm her reinorement in orne to.5.5. i no longer reqire. itne rom the e o the pport long the em pn ter whih tirrp hll e ple with the mimm ping per.5.4., n inrementl in tirrp ping etween the eqent etion, ggete to e,, n or 3 inhe m Strnet.om: Conrete Bem Deign.0 - Pge
12 Bem Sher Bi Chrt ACI.. ACI.3 Fining LIGHT Norml or Light Wt Conrete RMAL loop or other vle o ACI... STOP. no. her rein. req' ACI... ACI.5.5. ACI.5.4. m i the. o: / 4" ACI.. ' ' ' All Light wt : 075. w Sn Light Wt : 085. w φ > 00pi ACI.. h<0" h<.5t h<0.5 w ACI A v 5000 A v 50w 50 w i t given? >φ ACI.5.5. m. o: / 4" ACI... STOP. no. her rein. req' ACI... ACI.5.4. t w 67. t ' 67. > φ ACI.. φ φ ACI m. o: /4 " φ φ > 4 ACI.3.. ACI φ 085. ' w ACI... ACI STOP. inree ' or or w ACI.5.6. i the. o: m req' A v φ φ + φ n loop or other vle o ACI.5.6. ACI.. S m A v φ φ + φ n Strnet.om: Conrete Bem Deign.0 - Pge
13 Bem Sher Detile Chrt Sher Bem Che ACI.3 ACI.. Fining LIGHT Norml or Light Wt Conrete RMAL ACI... i t given? ' ' All Light wt : 075. w Sn Light Wt : 085. w ACI... ACI.3.. t w 67. t ' 67. ' w ACI φ 085. φ φ φ n > 00. mi φn 05. L mi > φ n φn mi 05. L mi STOP. oe not eit A NA v l Strnet.om: Conrete Bem Deign.0 - Pge 3
14 > 00. mi Bem Sher Detile Chrt (ont. ) ( 05. L ) 05.L mi ( 05. L ) L mi φ > > φ φ φ STOP. no. her rein. req' m. o: / 4" h<0" h<.5t h<0.5 STOP. no. her rein. req' φ φ > 4 S m > A v ' 00pi A v 50 m. o: / 4" let STOP. inree ' or or. o: m req' A v φ φ + φ n φn 05. L φ φ + φ n > 00. mi φn mi 05. L mi N e: Strnet.om: Conrete Bem Deign.0 - Pge 4 m
15 m A v m Bem Sher Detile Chrt (ont. ) φ φ + φ n m m > φ m N > 00. mi e: m m φn m 05. L m φn m mi 05. L mi m A v let + < m Loop long: >, n < m STOP. go to tirrp nmer A v 4 φ φ + φ n 3 Strnet.om: Conrete Bem Deign.0 - Pge 5
16 3 Bem Sher Detile Chrt (ont. 3) 4 > 00. mi φn 05. L φn mi 05. L mi > m. o: /4 " > revie S m let + + STOP. go to tirrp nmer + tirrp nmer N Loop ntil: +, n m N + Strnet.om: Conrete Bem Deign.0 - Pge 6
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