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ANALISIS STRUKTUR STATIS TAK TENTU Materi I Ashar Saputra, PhD

01. Statis Tak Tentu

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analisis struktur statis tak tentu

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ANALISIS STRUKTUR STATIS TAK TENTUMateri IAshar Saputra, PhDATURAN PERKULIAHANIsi paparanKlasifikasi StrukturStruktur Statis Tertentu vs Struktur Statis Tak TentuDera!at Keti"aktentuan StatikDera!at Keti"aktentuan Kine#ati$Klasifikasi Struktur% Hu&un'an pa"a tu#puan "an sa#&un'anKlasifikasi Struktur% Hu&un'an pa"a tu#puan "an sa#&un'anKlasifikasi Struktur% Hu&un'an pa"a tu#puan "an sa#&un'anKlasifikasi Struktur% Hu&un'an pa"a tu#puan "an sa#&un'anI"ealisasi StrukturI"ealisasi StrukturI"ealisasi StrukturArea pen'aruh &e&anArea pen'aruh &e&anArea pen'aruh &e&anArea pen'aruh &e&anArea pen'aruh &e&anStruktur statis tertentu:untuk #en(elesaikann(a )#en'hitun' reaksi "an 'a(a*'a(a "ala#+ $ukup #en''unakan Persa#aan Kesei#&an'an )Equilibrium Equation+Untuk kasus Plane Stru$tures ),D+-./ 0 1 .( 0 1 M2 0 1BCVBHBVCR 0 3u#lah reaksi (an' akan "i$ariN 0 3u#lah persa#aan kesei#&an'an(an' aplicableSi#ple &ea# "i sa#pin'- R 0 4 5 N 0 4Struktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktur statis tertentu:Untuk suatu !enis siste# statis tertentu (an' lain, selain pers# kesei#&an'an "iperlukan !u'a Pers# K6n"isi6nal, #is pa"a struktur pelen'kun' ti'a sen"i 5 &al6k 7er&erR 0 3u#lah reaksi (an' tak "i$ariN 0 3u#lah persa#aan kesei#&an'an (an' aplicable8 0 3u#lah Pers# K6n"isi6nalR 0 N 9 8)N98+ 0 3u#lah Pers# StatikaBVAHAVBHBSHin'eAUntuk Str Pelen'kun' 4 Sen"i"i atas- R 0 : N 0 4 8 0 ;R 0 N 9 8 : 0 4 9 ;Struktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktur statis tak tentu:Statically Indeterminate StructuresHyperstatic StructuresRedundant Structures untuk #en(elesaikann(a ti"ak $ukup han(a "i'unakan persa#aan kesei#&an'an sa!a "i'unakan-* persa#aan kesei#&an'an./ 0 1 .( 0 1 M2 0 1"an* persa#aan k6#pati&ilitas(' "iper6leh "ari k6n"isi 'e6#etrik struktur3#l Pers# 0 degree of indeterminacyStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktur statis tak tentu:Dapat "i&e"akan #en!a"i-* Struktur statis tak tentu "i luar )externally static indeterminate+* Struktur statis tak tentu "i "ala# )internally static indeterminate+Struktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktur statis tak tentu di luar:3u#lah reaksi pa"a struktur>3u#lah Pers# Statika (an' applicable 3u#lah kele&ihan reaksi )redundant+ 0 degree of external indeterminacy )De+ABVAHAVBMAR 0 :N 0 4De 0 ;STTABVAHAMADe 0 ;)Re"un"ant < in"eter#ina$(+STStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktur statis tak tentu di dalam:Degree of internal indeterminacy 0 Di86nt6h-Struktur Ran'ka =atan' )Truss+,! 0 # 9 r sta&il 5 "eter#inate"apat- * e/ternal in"eter#inate* internal in"eter#inate* e/ternal 5 internal in"eter#inateStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structures# ,! > 4 # 0 ,! > r,; 0 ,;, > 4,; 0 ,;, * 4 Sta&il "anstatis tertentu# ,! > 4# 0 ,! > r,; 0 ,;, > 4,; ? ,;, * : Sta&il"anstatis tak tertentu)eksternal, kele&ihan reaksi+Struktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structures# ,! > 4 # 0 ,! > r;@ ? ,;1 > 4;@ ? ,;1 * 4 Sta&il"anstatis tak tertentu)internal, kele&ihan &atan'+# ,! > 4 # 0 ,! > r;@ ? ,;1 > 4;@ ? ,;1 * : Sta&il"anstatis tak tertentu)internal "an eksternal, kele&ihan reaksi 5 &atan'+Struktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresSIGN CNVENTINA/ial .6r$e-N NNNP6sitiveNe'ativeShear .6r$e-AP6sitiveANe'ativeAA=en"in' M6#en-P6sitive- * * *9 9 9 9Ne'ative- * * *9 9 9 9Struktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresStruktrur Statis Tertentu "an TaktentuStatically determinate and indeteminate structuresRefreshin'Refreshin'Refreshin'Refreshin'Keti"aktentuan Kine#ati$Dera!at Keti"aktentuan Statik )DKS+Inf6r#asi terkait 'a(a &atan' (an' ti"ak "iketahui=ilan'an kun$i pa"a analisis struktur &er&asis 'a(aDKS a"alah ukuran #atrik fle/i&ilitasDera!at Keti"aktentuan Kine#atik )DKK+Terkait !ilan"an dis#la$ement dan r%tasi &%int'i"unakan #ada analisis struktur !er!asis displacement'KK adala( ukuran matrik kekakuan #ada met%de )leksi!ilitas dan met%de kekakuanKeti"aktentuan Kine#ati$Keti"aktentuan Kine#ati$Keti"aktentuan Kine#ati$Keti"aktentuan Kine#ati$