Unreinforced Masonry Design. SD Interaction Diagram

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1 Ureiforced asory Desig Code ectios, cope 9.. Desig criteria 9.. Desig assptios 9..4 Noial flexral ad axial stregt 9..5 xial tesio 9..6 Noial sear stregt Key desig eqatio: f t c I Ureiforced asory D Iteractio Diagra Desig xial tregt, xial stregt liit, ectio d order loadig pat Copressio cotrolled: Copressio stress does ot exceed 0.80f f f 0. 8 f a f 40 r 70r f b Tesio cotrolled: Tesio stress does ot exceed odls of rptre, Table f f F a b t 99 r 99 r Desig oet tregt, =0.6 Ureiforced asory

2 Desig for agified oet: oet agifier: D oet agificatio C,0 E eler k 700 f ' r 8.r eler f ' f (70r/) = (70/8.) =0.7 of Eler s bcklig load for clay. f (70r/) = (70/94.) =0.55 of Eler s bcklig load for CU. CI 8 ses φ k =0.75. For alost all walls, C =. Ca take ψ = if /r 45 Ca take ψ = if 45 < /r 60 ad oial stregt redced by 0% r 70r f ' Ureiforced asory Lateral Load - Exaple Give: ig wall; 8 i. ollow ligt weigt cocrete asory its wit Type asory ceet ortar; face sell beddig; o grot. periposed dead load of kip/ ad roof live load of 0.5 kip/ at a eccetricity of i. Ot-of-plae wid load of 4 psf (pressre or sctio). Reqired: Ceck adeqacy of wall oltio: f = 000 ; = 0.0 i /; = 8.0 i /; r =.84 i. Load Cobiatios.4D.D +.6L r.d +.0W + 0.5L r 0.9D +.0W 44i r.84i. Ureiforced asory 4

3 Lateral Load Wic load cobiatio do yo tik will cotrol?..d +.0W + 0.5L r Wid pressre (copressio o otside) B..D +.0W + 0.5L r Wid sctio (copressio o iside) C. 0.9D +.0W Wid pressre (copressio o otside) D. 0.9D +.0W Wid sctio (copressio o iside) Load Cobiatio.D +.0W + 0.5L r wid pressre.d +.0W + 0.5L r wid sctio 0.9D +.0W wid pressre 0.9D +.0W wid sctio Tesile tress () Ureiforced asory 5 Lateral Load - Exaple cot. 0.9D+.0W f f Wid sctio (copressio o iside face of wall).0 i e i,ax,ax f x w L 8 L f 44i 700 w L 4 f wl i i 4 i 6.6i x easred dow fro top i i i Wall weigt: wall 6.6i i w psf Ureiforced asory 6

4 Lateral Load - Exaple cot oet agifier: Tesio: 70r f ' i i i i Noial tregt = 5 Desig tregt = 0.6(5) = 0.6 NG Copressio: i i i Noial tregt = 0.8(000) =600 Desig tregt = 0.6(600) = 960 OK Ureiforced asory 8 Lateral Load Wat to do to ake wall work? (sort of reiforcig wall) Ureiforced asory 9

5 .D+.6L r k k. k 0..0 Tesio: xial: Copressio: Lateral Load - Exaple cot. axi oet at top of wall Use ψ=.0 at top f 40r i ksi 0.0 k i i i i i i i i OK OK Ureiforced asory 0 Failre odes: I-plae ear (9..6) strog ortar, weak its weak ortar, strog its Noial stregt is sallest of:.8v f 00 v Rig bod ot solidly groted ad stack bod wit ope ed its groted solid Rig bod solidly groted Oter stack bod 56 v 0. 45N 90 v 0. 45N v 0.8 Ureiforced asory

6 I-plae sear - Exaple Give: ig wall; 8 i. ollow cocrete asory its wit Type asory ceet ortar; face sell beddig; o grot. Wall is 0 log ad sbjected to a kip/ vertical dead load. Reqired: I-plae wid load oltio: fʹ = 000 V i.8 f, 00, N v v v 0.85kips 6. kips V V Ureiforced asory ectio properties: oly face sell beddig is cosidered, altog fll beddig is reqired at te first corse I-plae sear - Overtrig odls of rptre vales sae as for ot-of-plae bedig bd.5i 6 6 Tesio V Fr 0i 6000i 0 i iclde wall weigt of psf( ig)(0 log) = 70 kips.7kips kips 50 V44i V44i i 6000i 6000i I-plae wid load =.99 kips Ureiforced asory 4.5 i 7.65 i V =.99 kips

7 I-plae sear - araetric stdy ig wall; 8 i ollow CU wit Type asory ceet ortar Ureiforced asory 5

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