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1 Exapl: Sisic Loads Givn: 8 in. noral wight (5 pc) CMU wall; Grad 60 stl; Tp S PCL ortar (spcial rinorcd wall); =000psi; roo orcs act at 7.in. ccntricit; S DS =., =.0. Rqird: Rinorcnt Soltion: Estiat aont o stl Latral load dirctl proportional to wall wight Nd to know grot spacing to dtrin wall wight Wall is priaril in lxr Chck dirnt grot spacings in lxr and dtrin rasonabl aont o stl D = 00 lb/ 8.0 w = 0.S DS w w Ar 009 NEHRP Rcondd Sisic Provisions: Dsign Exapls FEMA P-75 / Sptbr 0 Cobind Flxral and Axial Loads 8 Exapl: Sisic Loads Grot spacing w w (ps) w (ps) M (k-/) a (in.) A s (in /) Bar siz 8 in in in * FEMA P-75 ss 65 ps to accont or bond bas and additional grotd clls (7% or) w 0. S DS w wall a d d M 0.8 b 0.8 ba P / As Tr in., s 56 ps or wall wight (0% inas) w =.0 ps Cobind Flxral and Axial Loads 9
2 Exapl: Sisic Loads Sar o Strngth Dsign Load Cobination Axial Forcs 0.9D+.0E = (0.9-0.S DS )D = (0.9-0.*.)D = 0.6D.D+.0E = (0.9+0.S DS )D = (.+0.*.)D =.86D Load Cobination P (kip/) 0.9D+.0E 0.6(0. = 0..D+.0E.86(0.) = 0.97 P w (kip/) 0.6(0.056(+) = (0.056)(+) =. P (kip/) Cobind Flxral and Axial Loads 5 Exapl: Sisic Loads Find odls o rptr; s linar intrpolation btwn no grot and ll grot Ungrotd (Tp S PCL): 8 psi Fll grotd (Tp S PCL): 6 psi ngrotd clls grotd cll r 8 psi 0 clls clls 6psi psi Find M, acking ont: M lb P 67 in psi r n in A n.8 kin t /.8in sp k Wall proprtis dtrind ro NCMA TEK -B Sction Proprtis o Cont Masonr Walls Cobind Flxral and Axial Loads 5
3 Exapl: Sisic Loads Strngth Load Cobination 0.9D+.0E.D+.0E c (in.) (in /) M (k-/).5.0 Scond Ordr / First Ordr.. a (in.) M n (k-/).6.85 M /M n Dlctions Load Cobination 0.6D+0.7E D+0.7E δ (in.)..07 δ/δ allow (δ allow =.5in.).6.7 Cobind Flxral and Axial Loads 5 Exapl: Sisic Loads Load cobinations with highr axial orcs control d to P-δ cts FEMA P-75 dos not chck dlctions; rasoning is standard dos not hav id-hight dlction liit or walls; TMS 0 dos hav a dlction liit Option M /M n δ/δ allow #7@ in. in. LW nits (w wall = 5ps; w = 9 ps) in. =500 psi 8 in. Fll grot; =000 psi 8 in. Fll grot; =000 psi in, in. covr; =000 psi in. CMU, in. w wall = 75 ps; w = ps Cobind Flxral and Axial Loads 5
4 Exapl: Sisic Loads Chck Maxi Rinorcnt: NA in ac shll; P is jst dad load ax 0.6 P bd ksi ksi in.8in k A in s d / ax b in 0. in Grot spacing P (kip/) ρ ax 8 in. CMU; in (+) =.0 k/ 8 in. CMU; ll grot (+) =.50k/ in. CMU; in (+) =.0k/ = 0. in / in. = 0.6 in / = 0. in / 8 in. = 0.66 in / = 0.6 in / in. = 0.6 in / Cobind Flxral and Axial Loads 56 Mont Magniication Mthod Coplntar Mont M w h 8 P 5M P h 8E 5P h 8E n M P P P M E h,0 M < M : = 0.75 n M M : = Cobind Flxral and Axial Loads 57
5 Mont Magniication: Dlctions First-ordr dlction (sipl spportd wall): 5wh 0 8E P h 6E Rwriting TMS 0 OOP qations: Sa as proposd b Bischo, P. (005). Rvalation o Dlction Prdiction or Cont Bas Rinorcd with Stl and Fibr Rinorcd Polr Bars. J. Strct. Eng., (5), M M n Cobind Flxral and Axial Loads 59 Exapl: Mont Magniication Givn: CMU wall; Grad 60 stl; Tp S PCL ortar (spcial rinorcd wall); =000psi; roo dad load o 00lb/ at.5 in. otsid ac o wall; S DS =., =.0. high x wid door opnings. S lvation on nxt pag. Rqird: Rinorcnt Soltion: Ar 009 NEHRP Rcondd Sisic Provisions: Dsign Exapls FEMA P-75 / Sptbr 0 Cobind Flxral and Axial Loads 60
6 Exapl: Mont Magniication Cobind Flxral and Axial Loads 6 Exapl: Mont Magniication Load has approxiatl dobld Us inch block, two lars o bars, inch covr, d ~ 9. in. Noral wight nits, in. bar spacing, w w = 75 ps, sa 85 ps w = 0.S DS w w = 0.(.)()(*85ps) = 97 ps M = 0.097ks(8) /8 = 9.5k-/ a 9.in 9.in k in in 0.8 ksi in. A s 0.8 ba P 0.8 / in ksi 0.78in 60ksi in 0. Cobind Flxral and Axial Loads 6
7 Exapl: Mont Magniication Ovr 8 pir width, A s = 8(0.in /) =.9in.9in = 6. #5 bars or. #6 bars. Tr 5 - #6 bars; two at ach jab, and on in cntr. d = = 9.in. =.6/ +.5 = 9.in. 85 ps is rasonabl wall wight Cobind Flxral and Axial Loads 6 Exapl: Mont Magniication Shar and Mont Diagras or Pir: 0.9D+.0E D = 8k Shar.98k 8.5k 6 w =0.(.)(0.085)(8) =0.89k/ w =0.(.)(0.085ks)(0) =0.97k/ Mont Consrvativl s 0.97k/ ovr ntir hight M,0 = 95. k-; % highr Cobind Flxral and Axial Loads 6
8 Exapl: Mont Magniication Analz at point o axi ont: M,0 = 77.6 k- P = 0.6(8k+0.085ks(0)(.)) = 7.8 kips Find c As P c 0.6 ' b c is in ac shll Find P n A s t sp bc d c d Cobind Flxral and Axial Loads 66 Exapl: Mont Magniication Bckling load, P P E h Mont agniir, P P Factord ont, M M M, 0 Cobind Flxral and Axial Loads 68
9 Exapl: Mont Magniication Chck capacit: Find a a As P /.in b 0.80 ksi7.8k ksi96in / in. Find noinal ont, M n M n P / A s t.6in 0.99in 7.8k / 0.9.in 60ksi.in 60ksi 60k in 05.0k sp a tsp As d.6in 9.in Chck capacit M n k 95.k M 8. k OK Chck othr load cobinations For.D+.0E, M = 89.k- M n = 7.k- OK Cobind Flxral and Axial Loads 70 Exapl: Mont Magniication Chck Maxi Rinorcnt: ntral axis is in ac shll P is jst dad load = 8.0k+0.085ks(0)(.) = 8.9k ax As bd 0.6 P bd d in, E d k 0.6ksi in9.in 0.09.in 60ksi in , ksi 9.in s A s bd.in 96in 9.in OK Cobind Flxral and Axial Loads 7
10 Exapl: Mont Magniication Chck dlctions: 0.6D+0.7E Nt ara, A n A n 96in 58in.6in.5in 605.5in in Nt ont o inrtia, n n 96in.6in 96in 58in.6in.5in 90in Modls o rptr, r Cracking ont, M 7 ngrotd clls 5 grotd clls r 8 psi 7 clls clls M 6psi psi 7.8k 0.7ksi 90in 605in 7.kip in 8. 9k 5.8in Cobind Flxral and Axial Loads 7 Exapl: Mont Magniication Dpth to NA, c As P.in 60ksi.6k c 0.6 ' b 0.6.0ksi 96in.7in Crackd ont o inrtia, P n A s 6..0in t sp d c d.6k.6in 60ksi bc 9.in.7in 96in.7in 9.in 85in Ectiv ont o inrtia, M M n 85in 8.9k 85in 5.k 90in 5in Cobind Flxral and Axial Loads 7
11 Exapl: Mont Magniication Dlctions Load Cobination 0.6D+0.7E D+0.7E M ax (k-) P (kip).6. (in ) (in ) 5 50 δ 0 (in)..5 Ψ δ (in).7.6 δ all = 0.007h = 0.007(8)(in/) =.5in. OK Cobind Flxral and Axial Loads 7 Colns Strctral br, not bilt intgrall into a wall, dsignd priaril to rsist coprssiv loads paralll to its longitdinal axis. Mini sid dinsion is 8 in. (5...(b)) Distanc btwn latral spports 99r {h/r 99} (5...(a)) Mini rinorcnt is 0.005A n (5...) Maxi rinorcnt is 0.0A n (5...) Additional axi rinorcnt rqirnts in strngth dsign Mini o bars (5...) Fll grotd (5...) Tis: (5...) / in. diatr; locatd in ortar joint or grot spacing 6 longitdinal bar diatr, 8 ti diatr, or last osssctional dinsion Cobind Flxral and Axial Loads 75
12 Baring Walls Location o Raction: Wall sction w/ Mbrs that rotat will cas raction to shi towards dg Baring ara (..): A Wall sction A A A 5 o A A A nds at dg o br or had joint in stack bond w/ Mbrs that xprinc littl rotation (dp trss) A A Plan viw Strngth Dsign: φ = 0.6 (9...) B n = 0.8 A br (9..8) Cobind Flxral and Axial Loads 76 Baring Walls Distribtion o Concntratd Loads Along Wall: (5..) Load is disprsd along a vrtical: horizontal lin. Load Bond Ba Load is disprsd at : slop Chck baring on hollow wall Ectiv Lngth (a) Distribtion o connctratd load throgh bond ba Cobind Flxral and Axial Loads 77
13 Baring Walls Load Load Load h / h th spacing o th load is lss than hal th wall hight, thn th load acts lik a distribtd load. Ectiv Lngth E ctiv Lngth E ctiv Lngth Load Load E ctiv Lngth E ctiv Lngth (b) Distribtion o connctratd load in wall Cobind Flxral and Axial Loads 78 Baring Walls: Load nar opning/nd H blow load ½ H blow load Disprsion Lngth Cobind Flxral and Axial Loads 79
14 Prstrssd Masonr, Chaptr Cobind Flxral and Axial Loads 80 Prstrssd Masonr, Chaptr 0 Load indicating washr (LW) Cobind Flxral and Axial Loads 8
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