Đang tải... (xem toàn văn)
Analysis and Design of Reinforced Concrete Beam column Joint Using King Cross Steel Profile Procedia Engineering 171 ( 2017 ) 948 – 956 1877 7058 © 2017 The Authors Published by Elsevier Ltd This is a[.]
Available online at www.sciencedirect.com ScienceDirect Procedia Engineering 171 (2017) 948 – 956 6XVWDLQDEOH&LYLO(QJLQHHULQJ6WUXFWXUHVDQG&RQVWUXFWLRQ0DWHULDOV6&(6&0 $QDO\VLVDQGGHVLJQRIUHLQIRUFHGFRQFUHWHEHDPFROXPQMRLQWXVLQJ LQJ&URVVVWHHOSURILOH 5DKPDQL.DGDUQLQJVLKD,PDQ6DW\DUQRD0XVOLNKD$QGUHDV7ULZL\RQRD a Departement of civil and enviromental engineering, Gadjah Mada University, Yogyakarta, Indonesia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© 2017 The Authors Published by Elsevier Ltd This is an open access article under the CC BY-NC-ND license 7KH$XWKRUV3XEOLVKHGE\(OVHYLHU/WG (http://creativecommons.org/licenses/by-nc-nd/4.0/) 3HHUUHYLHZXQGHUUHVSRQVLELOLW\RIWKHRUJDQL]LQJFRPPLWWHHRI6&(6&0 Peer-review under responsibility of the organizing committee of SCESCM 2016 Keywords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mail address:UDKPDQLNDGDUQLQJVLK#URFNHWPDLOFRP 1877-7058 © 2017 The Authors Published by Elsevier Ltd This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of the organizing committee of SCESCM 2016 doi:10.1016/j.proeng.2017.01.397 949 Rahmani Kadarningsih et al / Procedia Engineering 171 (2017) 948 –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j WKDWDUHFDOFXODWHGEDVHRQWKHVKHDUFDSDFLW\RIWKHDGMRLQLQJ EHDP $QG WKH FDSDFLW\ RI WKH MRLQW VWLUUXS VKRXOG QRW EH OHVV WKDQ WKH VKHDU UHTXLUHPHQW RI WKH MRLQW WKDW LV VXSSRUWHG7KXVWKHUHTXLUHPHQWIRUWKHMRLQWVWLUUXSLVE\FDOFXODWHWKHKRUL]RQWDOVKHDUIRUFHWKDWWKURXJKWKHEHDP FROXPQMRLQWDV ܸ ൌ ሺ݂௦ ܣ௦ ሻଵ ܥଶ െ ܸ ᇱ ൌ ሺ݂௦ ܣ௦ ሻଵ ሺ݂௦ ܣ௦ ሻଶ െ ܸԢ :KHUH fsAs 1DQG fsAs 2 WRSDQGERWWRPORQJLWXGLQDOEHDPUHLQIRUFHPHQWDQGV¶ FROXPQKRUL]RQWDOVKHDUIRUFH 7KHVKHDUFDSDFLW\RIWKHEHDPFROXPQMRLQW 3.1 The Joint shear capacity based Park and Paulay, 1974 [3] 7KHFRQFUHWHVKHDUFDSDFLW\RIMRLQW 7KH FRQFUHWH VKHDU FDSDFLW\ RI MRLQW vc DFFRUGLQJ WR 3DUN DQG 3DXOD\ DUH FDOFXODWHG E\ D EHDP VKHDU GHVLJQ ZLWKRXWVWLUUXSVWKDWVXVWDLQWKHVKHDUIRUFHVDQGWKHD[LDOFRPSUHVVLRQ )LJXUHD &RQVHUYDWLYHSUHGLFWLRQRIWKH EHDP VKHDU VWUHQJWK ZLWKRXW WKH VKHDU UHLQIRUFHPHQW VWLUUXS ZKLFK LQFRUSRUDWH YDULRXV IDFWRUV WKDW DUH WHQVLOH VWUHQJWKRIFRQFUHWHZKLFKLVPHDVXUHGE\WKHSDUDPHWHUVĜf'cFUDFNFRQWUROߩ௪ ൌ ܣ௦ Ȁܾ௪ ݀DQGWKHUDWLRRIVKHDU VSDQWRGHSWKMVd LQWKHHTXDWLRQ ݒ ൌ ೢ ௗ ൌ ͳǤͻඥ݂Ԣ ʹͷͲͲߩ௪ ೠ ௗ ெೠ ͵Ǥͷඥ݂Ԣ %HFDXVHRI(TXDWLRQ LVRIWHQGLIILFXOWWRDSSO\LQWKHGHVLJQ$&,SHUPLWWKHXVHRIPRUHVLPSOHHTXDWLRQ WRFDOFXODWHVcWKDWXQGHUJRWKHFROXPQD[LDOIRUFH Nu LQFROXPQDUHD Ag LQWR ݒ ൌ ͲǤʹͻͲͷඥ݂Ԣ ටͳ ͲǤʹͻͲ͵ ேೠ ሺܽܲܯሻ ,IWKHD[LDOFRPSUHVVLYHIRUFHLQWKHFROXPQ Nu FDXVHVWKHVWUHVVRQWKHJURVVFURVVVHFWLRQLVOHVVWKDQf'c WKHFRQWULEXWLRQRIWKHVKHDUUHVLVWDQFHRIFRQFUHWHVKRXOGEHLJQRUHG 7KHVKHDUFDSDFLW\RIWKHMRLQWVWLUUXS 7KHVKHDUFDSDFLW\RIWKHMRLQWVWLUUXS Vs WKDWGHVFULEHGLQ)LJXUHELVFDOFXODWHGXVLQJWZRPHWKRGV 7KHVKHDUFDSDFLW\RIWKHMRLQWVWLUUXSEDVHGRQWKHWUXVVPHFKDQLVP 950 Rahmani Kadarningsih et al / Procedia Engineering 171 (2017) 948 – 956 7KHDQDORJ\EHWZHHQWKHVKHDUUHVLVWDQFHRIWKHWUXVVDQGWKHEHDPVWLUUXSVDUHFRQFHSWLQFRQFUHWHVWUXFWXUHV 7KHDQDORJ\GHILQHGWKDWWKHWUXVVLVHTXLYDOHQWWRWKHVWLUUXSVDQGDFWVDVDWHQVLOHOHPHQW:KLOHWKHFRQFUHWHVWUXW SDUDOOHOWRWKHGLDJRQDOFUDFNVJHQHUDOO\WKHFRQFUHWHVWUXWDQJOHLVRWRWKHEHDPD[LV D E )LJXUH3RUWLRQRIMRLQWVKHDUFDSDFLW\E\ D GLDJRQDOFRQFUHWHVWUXW E GLDJRQDOFRPSUHVVLRQILHOGSDUDOOHOWRWKHGLDJRQDOFRQFUHWHVWUXWZLWK VWLUUXSUHLQIRUFHPHQWSURSRVHGE\3DUNDQG3DXOD\ >@ :KHUHAvLVWKHDUHDRIWKHVWLUUXSVUHLQIRUFHPHQWWKDWLVDWsGLVWDQFHDORQJWKHEHDPDQGfsLVWKHVWUHVVRIWKH VWLUUXSV7KHDUHDUHTXLUHPHQWRIWKHVWLUUXSUHLQIRUFHPHQWDUHD Av RQLGHDOVWUHQJWKLIfs fyEH ௦ ܣ௩ ൌ ݒ௦ ೢ ,Q WKH LQWHULRU MRLQW WKH LQWLUH VWLUUXS DW WKH MRLQW FRUH ZLOO SDUWLFLSDWH LQ WKH VKHDU UHVLVWDQFH 7KHQ WKH VWLUUXS UHTXLUHPHQWLV ௦ ೞ ܣ௩ ൌ ሺௗିௗᇱሻ :KHUHLQ dd¶ LVWKHGLVWDQFHEHWZHHQWKHFHQWHUSRLQWRIWKHWRSDQGWKHERWWRPEHDPUHLQIRUFHPHQW 3.2 The Joint shear capacity based on SNI 03-2847-1992 [5] 7KHFRQFUHWHVKHDUFDSDFLW\RIMRLQW 7KHMRLQWPHFKDQLVPWRFRQWLQXWKHKRUL]RQWDOVKHDUIRUFHSDVVHVWKURXJKWKHMRLQWDUHWKHGLDJRQDOFRQFUHWHVWUXW DQGWKHWUXVVSDQHOPHFKDQLVP7KHVKHDUIRUFHWKDWLVFDUULHGE\WKHVWUXWFRQFUHWHVcVKRXOGEHWDNHQHTXDOWR]HUR H[FHSWWKHFRPSUHVVLYHVWUHVVRIFROXPQVHFWLRQVDWLVI\7KHPLQLPXPDYHUDJHRIFRPSUHVVLYHVWUHVVRQWKHJURVV FURVV VHFWLRQ RI FRQFUHWH FROXPQ DERYH WKH MRLQW VKRXOG H[FHHG f’c 6R WKDW WKH VKHDU UHVLVWDQFH RI WKH VWUXW FRQFUHWHMRLQWLVWDNHQE\ ே ଶ ܸ ൌ ට൬ ೠǡೖ൰ െ ͲǤͳ݂Ԣ ܾ ݄ ଷ 7KHVKHDUFDSDFLW\RIWKHMRLQWVWLUUXS 7KH PHFKDQLVP RI WUXVV SDQHO FRQVLVWV RI WKH KRUL]RQWDO VWLUUXSV ZLWK WKH VKHDU FDSDFLW\ Vsh ,I WKH FRQFUHWH GLDJRQDO VWUXW KDV WKH VKHDU FDSDFLW\ Vch VR WKDW WKH VKHDU IRUFH GHVLJQ ZKLFK LV UHWDLQHG E\ KRUL]RQWDO VKHDU UHLQIRUFHPHQWRIMRLQWLV ܸ௦ ൌ ܸ െ ܸ :KLOHWKHWRWDOHIIHFWLYHDUHDRIWKHVWLUUXSVWKDWDUHSODFHGLQWKHMRLQWFDQQRWEHOHVVWKDQ ܣ ൌ ೞ 951 Rahmani Kadarningsih et al / Procedia Engineering 171 (2017) 948 – 956 7KHVKHDUVWUHQJWKRIWKHVWHHOVWUXFWXUHFRPSRQHQWEDVHGRQ$,6&>@ 7KHQRPLQDOVKHDUVWUHQJWKVnRIWKHDUHDRIXQVWLIIHQHGRUVWLIIHQHGZHEV Aw DFFRUGLQJWRWKHOLPLWVWDWHVRI WKHVKHDU\LHOGLQJDQGWKHVKHDUEXFNOLQJLV ܸ ൌ ͲǤܨ௬ Ǥ ܣ௪ Ǥ ܥ௩ )RUZHEVRIDOORWKHUGRXEO\V\PPHWULFVKDSHVDQGVLQJO\V\PPHWULFVKDSHVDQGFKDQQHOVH[FHSWURXQGHSS WKHZHEVKHDUFRHIILFLHQWCvLVGHWHUPLQHGDVIROORZV L :KHQ݄Τݐ௪ ͳǡͳඥ݇௩ ܧΤܨ௬ VRܥ௩ ൌ ͳǤͲ LL :KHQͳǤͳͲඥ݇௩ ܧΤܨ௬ ൏ ݄Τݐ௪ ͳǤ͵ඥ݇௩ ܧΤܨ௬ VR ܥ௩ ൌ ଵǤଵටೡ ா Τி Τ௧ ೢ ଵǤହೡ ா LLL :KHQ݄Τݐ௪ ͳǤ͵ඥ݇௩ ܧΤܨ௬ VRܥ௩ ൌ ሺΤ ௧ೢ ሻమ ி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swDV ܸ௦௪ ൌ ͲǤܨ௬௪ ݀ ݐ௪ ZKHUHFyw \LHOGVWUHVVRIZHEdc KHLJKWRIWKHZHEGDQtw WKLFNQHVVRIWKHZHE 7KHFRQWULEXWLRQRIWKHIODQJHRIWKHNLQJFURVVFURVVVHFWLRQ 1RPHWKRGRIFDOFXODWLRQRIWKHVKHDUVWUHQJWKLVSURYLGHGE\WKHGHVLJQVSHFLILFDWLRQVIRUWKHNLQJFURVVVWHHO FURVV VHFWLRQ WKDW LV XVHG LQ WKH FROXPQ 7KH VKHDU VWUHQJWK FRQWULEXWLRQ RI ORQJLWXGLQDO ZHE FDQ EH FDOFXODWHG DFFRUGLQJ WR (TXDWLRQ ,Q DGGLWLRQ LW LV DOVRSURSRVHG WKH VKHDU VWUHQJWK WKDW LVSURYLGHG E\ WZR ORQJLWXGLQDO IODQJHV9VOIZKLFKLVHVWLPDWHGDW ଶ ܸ௦ ൌ ʹൈ ቂ ൫ͲǤܨ௬ ൈܣ ൯ቃ ଷ 7KHVKHDUVWUHQJWKFDOFXODWLRQVsGHILQHGDVWKHVXPRIV'swDQGVslf7KH9W9VUDWLRLVYHU\FORVHWRWKLVSURYHV WKDW WKH FDOFXODWLRQ RI WKH VKHDU VWUHQJWK LV LQ DFFRUGDQFH ZLWK WKH WHVW UHVXOWV Vslf FRQWULEXWHG RI WKH VKHDU VWUHQJWKRIWKHMRLQW 7KHDQDO\VLVDQGGHVLJQRIEHDPFROXPQMRLQW 6WHSE\VWHSEHDPFROXPQMRLQWGHVLJQLV 'HWHUPLQHWKHPDWHULDOSURSHUWLHVDQGWKHEHDPFROXPQMRLQWGLPHQVLRQ &DOFXODWHWKHGHVLJQVKHDUIRUFHRIEHDPFROXPQMRLQW &DOFXODWHWKHFRQFUHWHVKHDUUHVLVWDQFHRIEHDPFROXPMRLQW 952 Rahmani Kadarningsih et al / Procedia Engineering 171 (2017) 948 – 956 &DOFXODWHWKHGHVLJQVKHDUIRUFHRIWKHKRUL]RQWDOVKHDUVWLUUXSRIWKHMRLQW &DOFXODWHWKHGHVLJQVKHDUIRUFHRIWKHNLQJFURVVVWHHOSURILOHRIWKHMRLQW &UHDWHWKHW\SHRIWKHEHDPFROXPQMRLQWGHVLJQ &DOFXODWHWKHDPRXQWRIWKHKRUL]RQWDOVKHDUVWLUUXSRIWKHMRLQW &DOFXODWHWKHGLPHQVLRQRIWKHWKHNLQJFURVVVWHHOSURILOHRIWKHMRLQW &DOFXODWHWKHQRPLQDOVKHDUFDSDFLW\RIWKHEHDPFROXPQMRLQWGHVLJQ 6.1 Determine the material properties and the beam column joint dimension 7KH GLPHQVLRQV DQG PDWHULDO SURSHUWLHV RI WKH EHDP FROXPQ MRLQW )LJXUH WKDW LV GHVLJQHG EDVHG RQ WKH DQDO\VLVRIWZRVWRUH\VWUXFWXUHVLQVHLVPLFUHJLRQV>@DUHDVIROORZV 7KHFRQFUHWHFRPSUHVVLYHVWUHQJWKf’c 03D 7KH\LHOGVWUHQJWKRIORQJLWXGLQDOEDUfy 0SD 7KH\LHOGVWUHQJWKRIWUDQVYHUVDOEDUfy 0SD 7KH\LHOGVWUHQJWKRINLQJFURVVSURILOHfy 0SD 7KHFROXPQD[LDOORDGPu N1 7KHFRQFUHWHFRYHU PP )LJXUH'LPHQVLRQRIEHDPFROXPQMRLQWZLWKNLQJFURVVSURILOH 6.2 Calculate the design shear force of beam column joint 7KH PDJQLWXGH RI WKH VKHDU IRUFH RI WKH MRLQW LV WKH GLIIHUHQFH LQ WKH DPRXQW RI WKH EHDP WHQVLRQ DQG WKH FRPSUHVVLRQIRUFHWRWKHKRUL]RQWDOVKHDUIRUFHWKDWZRUNVRQWKHFROXPQ ܸ௨ ൌ ܶ௦ ܥ௦ െ ܸ 7KHDPRXQWRIWKHVKHDUIRUFHGHVLJQLVFDOFXODWHGE\YDULRXVPHWKRGDQGDUHWDEHODWHGDVVKRZQLQ7DEOH 7KHDQDO\VLVUHVXOWVVKRZWKDWWKHFDOFXODWLRQRIWKHEHDPPRPHQW Mpr,b WKHFROXPQVKHDUIRUFH Vc WKHEHDP WHQVLRQ IRUFH Ts DQG WKH EHDP FRPSUHVVLRQ IRUFH Cs RI DOO WKH PHWKRG DUH VLPLODU VDILFLHQWO\ 6R WKDW WKH FDOFXODWLRQUHVXOWRIWKHMRLQWVKHDUIRUFHGHVLJQ Vu FDQEHFRQVLGHUVLJQLILFDQW$QGWRDYRLGWKHMRLQWIDLOXUHWKDQLV 953 Rahmani Kadarningsih et al / Procedia Engineering 171 (2017) 948 – 956 WDNHQWKHODUJHVWVuYDOXHLVVu N1 7DEOH7KHMRLQWVKHDUIRUFHGHVLJQ Vu $QDO\VLVPHWKRG $&,$6&( 5 > @ 3DUNGDQ3DXOD\ 5HVSRQVH 0EHDP Mpr,b &ROXPQVKHDUIRUFH Vc ܯǡଵ ൌ ܣ௦ଵ ߙ݂௬ ቀ݀ െ ଶቁ ൌ ͶǤ͵݇ܰ݉ ܯǡଶ ൌ ܣ௦ଶ ߙ݂௬ ቀ݀ െ ଶቁ ൌ ͷǤͺ݇ܰ݉ ܯǡଵ ൌ ܣ௦ଵ ߙ݂௬ ሺ݀ଵ െ ݀Ԣଶ ሻ ൌ ͵ͻǤͷ͵݇ܰ݉ ܯǡଶ ൌ ܣ௦ଶ ߙ݂௬ ሺ݀ଶ െ ݀Ԣଵ ሻ ൌ ͻǤͲ݇ܰ݉ ܯǡଵ ൌ ͶǤͻ݇ܰ݉ ܯǡଶ ൌ ͵݇ܰ݉ $QDOLVLVOD\HU ܸ ൌ ܸଵ ܸଶ ൌ ൫ܯǡଵ ܯǡଵ ൯ ቀͳ ൌ ͶͷǤʹʹ݇ܰ %HDP WHQVLRQ Ts 7KH DQG FRPSUHVVLRQ IRUFHGHVLJQ Vu IRUFH Cs ܶ௦ ൌ ߙ݂௬ ܣ௦ଵ ܸ௨ ൌ ܶ௦ ܥ௦ െ ܸ ቁ ൌ ͳͻͷǤͲͻ݇ܰ ଶ್ ܥ௦ ൌ ߙ݂௬ ܣ௦ଶ MRLQW VKHDU ൌ ͷͶͳǤͻͲ͵͵݇ܰ ൌ ͵ͻͳǤͶͳͺ݇ܰ ܸ ൌ ܸଵ ܸଶ ൌ ൫ܯǡଵ ܯǡଵ ൯ ቀͳ ൌ Ͷ͵Ǥͻʹ݇ܰ ܶ௦ ൌ ߙ݂௬ ܣ௦ଵ ቁ ൌ ͳͻͷǤͲͻ݇ܰ ଶ್ ܥ௦ ൌ ߙ݂௬ ܣ௦ଶ ܸ௨ ൌ ܶ௦ ܥ௦ െ ܸ ൌ ͷͶ͵ǤʹͲͲ݇ܰ ൌ ͵ͻͳǤͶͳͺ݇ܰ ܸ ൌ ܸଵ ܸଶ ൌ ൫ܯǡଵ ܯǡଵ ൯ ቀͳ ଶ್ ܶ௦ ൌ ʹͷͷ݇ܰ ቁ ܥ௦ ൌ ͵ͷͻ݇ܰ ൌ ͶͶǤͺ݇ܰ ܯǡଵ ൌ ܥ ൫ ܥെ ೌమ൯ ܥ௦ ݂ ᇱ ௦ ሺ ܥെ ݀ᇱ ሻ ܸ ൌ ܸଵ ܸଶ ൌ ൫ܯǡଵ ܯǡଵ ൯ ቀͳ ܶ௦ଵ ݂௦ ሺ̶݀ െ ܥሻ ܶ௦ଶ ݂௬ ሺ݀ െ ܥሻ ൌ ͶͲǤʹ͵݇ܰ ܯǡଶ ൌ ͶͳǤͶͺ݇ܰ݉ ܯǡଵ ൌ ܥ ൫ ܥെ ೌమ൯ ܥ௦ ݂ ᇱ ௦ ሺ ܥെ ݀ᇱ ሻ ଶ್ ܶ௦ ൌ ܣԢ௦ ݂Ԣ௦ ቁ ܣ௦ ݂௬ ൌ ʹͷǤ͵Ͷ݇ܰ ܥ௦ ൌ ܣԢ௦ ݂Ԣ௬ ܸ௨ ൌ ܶ௦ ܥ௦ െ ܸ ൌ ͷͻǤʹʹʹ݇ܰ ܸ௨ ൌ ܶ௦ ܥ௦ െ ܸ ൌ ͷʹͻǤʹʹ݇ܰ ܣ௦ ݂௬ ൌ ͵ͳ͵Ǥͳ͵Ͷ݇ܰ ܶ௦ଵ ݂ ሺ̶݀ െ ܥሻ ܶ௦ଶ ݂௬ ሺ݀ െ ܥሻ ܯǡଶ ൌ Ǥʹͷ݇ܰ݉ 6$3 ܯǡଵ ൌ ͶͶǤͻͷ݇ܰ݉ ܸ ൌ ͶͳǤͻͺ݇ܰ ܯǡଶ ൌ Ǥ݇ܰ݉ 6.3 Calculate the concrete shear capacity of joint 7KHMRLQWVKHDUFDSDFLW\ Vu FRQWULEXWHGE\WKHFRQFUHWHVKHDUFDSDFLW\ Vc DQGWKHVKHDUFDSDFLW\RIWKHMRLQW VWLUUXS Vs VRIRUPXODWHGDVIROORZV ࢂ࢛ ൌ ࢂࢉ ࢂ࢙ 7KH FRQFUHWH VKHDU FDSDFLW\ RI MRLQW LV FDOFXODWHG XVLQJ (TXDWLRQ EDVHG RQ $&, DQG (TXDWLRQ EDVHGRQ61, E\LJQRULQJWKHFROXPQD[LDOORDGPLQLPXPOLPLW 7KHDPRXQWRIWKHFRQFUHWHVKHDUFDSDFLW\RIMRLQW Vc DUHWDEXODWHGLQ7DEOH 7DEOH7KHFRQFUHWHVKHDUFDSDFLW\RIMRLQW 0HWKRGRIWKHMRLQWFRQFUHWHVKHDUVWUHQJWK $&, 61, Vc N1 )URPDOORIWKHYDOXHVWKHYDOXHRI(TXDWLRQ EDVHGRQ$&,LVFRQVLGHUHGPRUHFORVHUWRWKHDFWXDORI WKHFRQFUHWHVKHDUFDSDFLW\RIMRLQWVRWKDWLVXVHGDVWKHFRQFUHWHVKHDUFDSDFLW\RIMRLQWVc N1 954 Rahmani Kadarningsih et al / Procedia Engineering 171 (2017) 948 – 956 6.4 Calculate the design shear force of the joint stirrup and the king cross steel profile 7KHDPRXQWRIWKHGHVLJQVKHDUIRUFHWKDWPXVWEHUHVLVWHGE\VWLUUXSVDFFRUGLQJ(TXDWLRQ LV ࢂ࢙ ൌ ࢂ࢛ െ ࢂࢉ 6RWKDWWKHGHVLJQVKHDUIRUFHWKDWPXVWEHUHVLVWHGE\VWLUUXSVLVVs N1DQGWKHWKHGHVLJQVKHDUIRUFH WKDWPXVWEHUHVLVWHGE\NLQJFURVVSURILOHWKDWUHSODFHVVWLUUXSLV Vk Vs N1 6.5 Create the type of the beam column joint design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c Vs &RQWULEXWLRQRI NLQJFURVVSURILOH VKHDUFDSDFLW\ N1 '6 Vc Vs Vk '6 Vc Vs Vk '6 Vc Vs Vk '6 Vc Vk &KHQDQG/LQ FDOFXODWHGWKHVKHDUVWUHQJWKRI65&LQWHULRUMRLQWXVLQJWKHVWUHQJWKVXSHUSRVLWLRQPHWKRG 8QGHUWKLVPHWKRGWKHGHVLJQVKHDUIRUFHRIEHDPFROXPQMRLQW Vu ZLOOEHFDOFXODWHGE\FRPELQLQJWKHFRQFUHWH VKHDUFDSDFLW\ Vc WKHVWLUUXSVKHDUFDSDFLW\ Vs DQGWKHNLQJFURVVVKHDUFDSDFLW\ Vk DVIROORZV ܸ௨ ൌ ܸ ܸ௦ ܸ 6.6 Calculate the amount of the joint stirrup and the dimension of the the king cross steel profile 7R FDOFXODWH WKH MRLQW VWLUUXS LV XVHG (TXDWLRQ EDVHG RQ WKH WUXVV PHFKDQLVP 3DUN DQG 3DXOD\ (TXDWLRQ EDVHGRQIRUFHPHFKDQLVP 3DUNDQG3DXOD\ DQG(TXDWLRQ EDVHGRQ61, 7KH DPRXQW RI MRLQW VWLUUXSEDVHG RQ WKDW HTXDWLRQV DUHVKRZQ LQ WKH IRUPDWLRQRI VWLUUXSEDUGLDPHWHU DQG VSDFLQJ LQ 7DEOH 7DEOH7KHKRUL]RQWDOVKHDUVWLUUXSRIMRLQWGHVLJQ 7\SHVRIMRLQWGHVLJQ 6KHDUFDSDFLW\RIVWLUUXS '6 '6 (T (T (T ó9V I I I ị9V I I I '6 ơ9V I I I '6 9V I I I 955 Rahmani Kadarningsih et al / Procedia Engineering 171 (2017) 948 – 956 $QGWRDYRLGWKHIDLOXUHRIWKHMRLQWWKHQLVWDNHQWKHJUHDWHVWYDOXHRIAsn 7RFDOFXODWHWKHNLQJFURVVVWHHOSURILOHRIWKHMRLQW )LJXUH XVHG(TXDWLRQ DQG (TXDWLRQ DQG DUHPRGLILHGLQWR ܸ௦௪ ൌ ܨ௬௪ Ǥ ܪǤ ݐଵ Ǥ ܥ௩ $QG(TXDWLRQ LVPRGLILHGLQWR ܸ௦ ൌ ʹൈ൫ܨ௬௪ Ǥ ܤǤ ݐଵ ൯ )LJXUH.LQJFURVVSURILOHFURVVVHFWLRQ %RWK(TXDWLRQ DQG ZLOOSURYLGHWKHVPDOOHUGLPHQVLRQRINLQJFURVVVWHHOSURILOHEHFDXVHWKHHTXDWLRQ GRHVQRWFRQVLGHUWKHVKHDUIDFWRUUHGXFWLRQ6RWKHVKHDUVWUHQJWKRINLQJFURVVSURILOH Vk EHFRPHV ܸ ൌ ܸ௦௪ ܸ௦ %DVHG RQ WKH YDOXH RI Vk REWDLQHG IURP HTXDWLRQ WKH GLPHQVLRQ RI NLQJ RI FURVV SURILOH FDQ EH VHHQ LQ 7DEOH 7DEHO7KHGLPHQVLRQRINLQJRIFURVVSURILOH 7\SHVRIMRLQWGHVLJQ 6KHDUFDSDFLW\RISURILOH H PP B PP t1 PP t2 PP '6 óVk '6 ịVk '6 ơVk '6 Vk 6.7 Calculate the nominal shear capacity of the beam column joint design 6KHDUFDSDFLW\RIMRLQWGHVLJQLVDVXSHUSRVLWLRQRIWKHWKHFRQFUHWHVKHDUFDSDFLW\VWLUUXSQRUNLQJSURILOHFURVV )URPWKHILIWKRIWKHGHVLJQW\SHWKHQRPLQDOVKHDUFDSDFLW\ Vn LVIXOO\VDWLVI\WKHGHVLJQVKHDUIRUFH Vu %XWWKH GHVLJQW\SHVRI'6DQG'6KDYHVWLUUXSVVSDFHGWRRWLJKWO\VRLWLVOHVVWKDQWKHUHTXLUHGVSDFHRIUHLQIRUFHPHQW ,QWKHGHVLJQRI'6DQG'6E\DSSOLFDWLRQRIWKHNLQJFURVVSURILOHWKHXVHRIWKHVWLUUXSFDQEHUHGXFHGVRWKDW WKHVWLUUXSVSDFHFDQTXDOLI\WKHPLQLPXPGLVWDQFHRIVWLUUXSUHLQIRUFHPHQW 956 Rahmani Kadarningsih et al / Procedia Engineering 171 (2017) 948 – 956 7DEHO7KHQRPLQDOVKHDUFDSDFLW\RIWKHEHDPFROXPQMRLQWGHVLJQ 7\SHV RIMRLQW GHVLJQ 7KHDPRXQWRI WKHMRLQWVWLUUXS VWLUUXSEDU GLDPHWHU± VSDFLQJLQPP 7KH GLPHQVLRQRI WKHNLQJFURVV VWHHOSURILOH 7KHFRQFUHWH VKHDU UHVLVWDQFH Vc N1 7KHQRPLQDOVKHDU IRUFHRIWKH VWLUUXSGHVLJQ Vsn N1 I I I I '6 '6 '6 '6 '6 7KHQRPLQDO VKHDUIRUFHRI WKHNLQJFURVV VWHHOSURILOH GHVLJQ Vk N1 7KHQRPLQDO VKHDUFDSDFLW\ RIWKHEHDP FROXPQMRLQW GHVLJQ Vn N1 7KHGHVLJQ VKHDUIRUFHRI EHDPFROXPQ MRLQW Vu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»WLPHVWKHPD[LPXPVL]HRIFRDUVHDJJUHJDWH '6DQG'6LVDQLGHDOGHVLJQZLWKDVSDFLQJVWLUUXSHOLJLEOH )URP GHVLJQ DQG DQDO\VLV KDV EHHQ GRQH WKHQ VXJJHVWLRQV IRU IXWXUH UHVHDUFK LV WR FRQGXFW H[SHULPHQWDO UHVHDUFKWRGHWHUPLQHWKHVWUHQJWKRIWKHMRLQWVXSHUSRVLWLRQPHWKRGYDOLGDWLRQDJDLQVWH[SHULPHQWDOUHVXOWV 5HIHUHQFHV >@ $&, 5 *XLGHWR&RQVROLGDWLRQRI&RQFUHWHLQ&RQJHVWHG$UHDV >@ &KHQ & GDQ /LQ %HKDYLRU DQG VWUHQJWK RI VWHHO UHLQIRUFHG FRQFUHWH EHDP ± FROXPQ MRLQWV ZLWK WZRVLGH IRUFH LQSXWV -RXUQDO RI &RQVWUXFWLRQDO6WHHO5HVHDUFK ±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± $6&( &RPPLWWHH $&, 5 5HFRPPHQGDWLRQ IRU 'HVLJQ RI %HDP ± &ROXPQ &RQQHFWLRQV LQ 0RQROLWLF 5HLQIRUFHG &RQFUHWH6WUXFWXUH$PHULFDQ&RQFUHWH,QVWLWXWH)DUPLQJKDP+LOV0, ... The Joint shear capacity based Park and Paulay, 1974 [3] 7KHFRQFUHWHVKHDUFDSDFLW\RIMRLQW 7KH FRQFUHWH VKHDU FDSDFLW\ RI MRLQW vc DFFRUGLQJ WR 3DUN DQG 3DXOD\ DUH FDOFXODWHG... &UHDWHWKHW\SHRIWKHEHDPFROXPQMRLQWGHVLJQ &DOFXODWHWKHDPRXQWRIWKHKRUL]RQWDOVKHDUVWLUUXSRIWKHMRLQW &DOFXODWHWKHGLPHQVLRQRIWKHWKHNLQJFURVVVWHHOSURILOHRIWKHMRLQW &DOFXODWHWKHQRPLQDOVKHDUFDSDFLW\RIWKHEHDPFROXPQMRLQWGHVLJQ... )LJXUH''LPHQVLRQRIEHDPFROXPQMRLQWZLWKNLQJFURVVSURILOH 6.2 Calculate the design shear force of beam column joint 7KH PDJQLWXGH RI WKH VKHDU IRUFH RI WKH MRLQW LV WKH GLIIHUHQFH