twenty seven masonry construction: beams & columns Masonry Design Masonry Beam & Wall Design Masonry Design

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1 ELEENTS O ARCHITECTURAL STRUCTURES: OR, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SRING 017 lecure weny even monry conrucion: em & column onry Conrucion 1 S009n onry Deign onry Snr Join Commiee ACI, ASCE, TS ASD (+empiricl) liner-elic ree LRD e in 00 reerence y IBC unreinorce llow enion in lexure reinorce - ll enion in eel wll re lo in compreion Inernionl onry Iniue (Brin Trimle) onry Conrucion onry Bem & Wll Deign reinorcemen incree cpciy & uciliy onry Deign i no he yiel re m i he re in he monry STRAIN STRESS grou uni n.. A ε ε m /n m T =A Cm = m ()/ j BIA Teknoe 17 erie ρ = A onry Conrucion 3 onry Conrucion 4 1

2 onry eril uni one, rick, concree lock, cly ile onry eril morr wer, monry cemen, n, lime ype: A S O N W O R K higher rengh 500 pi (ve.) meium high rengh 1800 pi meium rengh 750 pi meium low rengh 350 pi low rengh 75 pi onry Conrucion 5 onry Conrucion 6 onry eril rer grou ill voi n ixe rer prim ue o e rengh, m ire rein onry eril moiure reince wehering inex or rick on n eiling expnion or hrinking rom wer provie conrol join prpe, corner, long wll prpe wih no conrol join onry Conrucion 7 onry Conrucion 8

3 Allowle onry Sree enion - unreinorce only onry Wll enion norml o e join No llowe in SJC coe enion prllel o e join rong uni wek uni onry Conrucion 9 onry Conrucion 10 Allowle onry Sree lexure = 1/3 m (unreinorce) 45 m (reinorce) her, unreinorce monry v = 1. 5 < 10 pi m her, reinorce monry /V 0.5: v = 3. 0 m /V 0.5: v =. 0 m Allowle Reinorcemen Sre enion ) Gre 40 or 50 = 0 ki ) Gre 60 = 3 ki c) Wire join = 30 ki *no llowe incree y 1/3 or cominion wih win & erhquke i eore 011 SJC coe onry Conrucion 11 onry Conrucion 1 3

4 Reinorcemen, grou uni n.. A Σ ou C m : Σ=0: T =A C m = m ()/ SJC: = 0 ki, 3 ki or 30 ki y ype j A = m = A j = ρ i = (llowle) he momen cpciy i limie y he eel j Reinorcemen, m or equilirium: = 0 grou uni ou n.. A T =A C m = m ()/ j m = m j 5 m i m = (llowle) he momen cpciy i limie y he monry SJC =0.33 m jk onry Conrucion 13 onry Conrucion 13 onry Linel iriue lo ringulr or rpezoil Sregy or R lexurl Deign o ize ecion n in reinorcemen in ρ knowing m n y ize ecion or ome ρ < ρ ge k, j = nee o e ize ρj or her lo ge & in nice uni ize reinorcemen (r ize & #): check eign: = A j > = < 0. 5 jk A = j onry Conrucion 14 onry Conrucion 15 4

5 Ulime Srengh Deign LRD like reinorce concree ueul when em her i high improve inelic moel ex. erhquke lo 1 c 0.80 m 1 c T C onry Column n iler mu e reinorce onry Conrucion 16 onry Conrucion 17 onry Column n iler coniere column when /<3 n h/>4 i wih o wll i hickne o wll lener i 8 one ie h/ 5 nee ie eccenriciy my e require onry Conrucion 18 onry Column llowle xil lo 0. 5 A 0. 65A onry Conrucion 19 m h/r 99 h/r > 99 n h = eecive lengh A n = eecive re o monry A = eecive re o column reinorcemen = llowle compreive re in column reinorcemen (leer o 0.4 y or 4 ki) h 1 140r 70r 0. 5 m An 0. 65A h 5

6 onry Wll (unreinorce) llowle xil ree h 70r 5 m 1 5 m 140r h h/r 99 h/r > 99 Deign monry column n wll + h/r < 99 h/r > n h 5 m 1 140r 70r 5 m h 33 m (unreinorce) onry Conrucion 0 onry Conrucion 1 Deign monry column n wll - loing win loing eccenric xil lo virul eccenriciy, e 1 h onry Conrucion e o V w e 1 e o V w e = 1 e w virul eccenriciy Deign monry column n wll wih rer wll reinorcemen uully cener n ineecive onry Conrucion 3 in compreion + provie grou uni n.. A BENDING STRESS AXIAL STRESS m C m = m ()/ = /A /n j T =A or equilirium: = = C m T 6

7 Deign Sep Knowing Lo 1. ume limiing re uckling, xil re, comine re. olve or r, A or S 3. pick ril ecion 4. nlyze ree 5. ecion ok? 6. op when ecion i ok onry Conrucion 4 7