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20 of 29 <br /> (Project Numb9'1er. 'Plan Name: Sheet Number: <br /> C1f19,._A.VD 5117 27TH AVE vV,EVERETT,WA 7OZ.ua I <br /> Engineer: Subject: Date: <br /> FY 2ft Unreinforced Conc Beam(Typ.Helical&Concentric) <br /> DEMAND CALCULATION <br /> number of stories ft 1 stories <br /> span L 7.0 ft [max on-center pile spacing] <br /> concrete area A 216 in2 •see attached <br /> concrete self weight SW _ 225 plf [Includes total height w/o AC114§14.5.1.7 redux] <br /> Pt DL DL 5.10 k = 7.0 ft •946 [1-story loading] <br /> Pt LL LL 2.80 k = 7.0 ft •980 [1-story loading] <br /> Pt LLr LLr 3.20 k = 7.0 ft •100 [1-story loading] <br /> moment from DL MDL 10,303 lb-ft 123.6 k-in <br /> moment from LL MLL 4,900 lb-ft 58.8 k-in <br /> moment from SL MLA 5,600 lb-ft 67.2 k-in <br /> factored moment MLRF5 173.1 k-in 1.4DL <br /> MLaro 276.0 k-in 1.2DL+1.6LL+0.5SL <br /> MLaro 314.7 k-in 1.2DL+1.65E+LL <br /> controlling factored moment M„ 314.7 k-in <br /> factored shear Vu,Fw 4.7 k 1.4DL <br /> VLOFO 7.0 k 1.2DL+1.6LL+0.SSL <br /> VLrFD 8.0 k 1.2DL+1.6SL+LL <br /> controlling factored shear V„ 8.0 k <br /> controlling factored bearing B„ 8.0 k [R=V for SS beam] <br /> STRENGTH CALCULATION <br /> concrete strength fc 2.5 ksi assumed <br /> light wt concrete mod.factor A 1 normal weight concrete <br /> flexure strength red.factor 4tnea 0.9 tension-controlled ACI14[Table 21.2.1] <br /> shear strength red.factor 4',hea, 0.75 ACI14[Table 21.2.1] <br /> bearing strength red.factor 'bea,;eo 0.65 ACI14[Table 21.2.1] <br /> moment of ineritia 1,0, 11,016 in4 'see attached <br /> elastic section modulus S,n 1,001 in3 'see attached <br /> tens fiber to NA c 11.0 in 'see attached <br /> nom flexure strength(Tcontrols) M„ 250.4 k-in M„=SAJS„, ACI 318-14[Eq.14.5.2.1a1 <br /> nom flexure strength(C controls) Mn 2,128.1 k-in ;If,,-(1.85/;_S„ ACI 318-14[Eq.14.5.2.1b] <br /> RESIDENTIAL CONCRETE M„ 375.5 k-in M„=7.S5d'S,„ CONTROLS ACI 332-14[Eq.8.2.1.1] <br /> flexure strength 4aM„ 338.0 k-in >Mu OK D/C=93.10% <br /> nom shear strength V„ 14.4 k n=3 2 •A AC114[Table 14.5.5.1(a)] <br /> shear strength cbV„ 10.8 k >Vu OK D/C=73.75% <br /> loaded bearing area Al 74 in2 [IDEAL 2-7/8"Tru-Force Underpinning Bracket] <br /> supporting surface bearing area Az 74 in2 [If the supporting surface is>than loaded area] <br /> nom bearing strength B„ 156.6 k O.85/;'A i ACI14[Table 14.5.6.1(c)] <br /> bearing strength 413„ 101.8 k >Bu OK D/C=7.82% <br /> Additional Verification Cale: <br /> mox concrete tensile strength f, 375 psi f=7.54K ACI 14[Eq.19.2.3.1] <br /> max beam tensile stress F, 314 psi F =(M s C)/ <br /> f, >Ft OK <br />