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19 of 26 <br /> Project Number: Plan Name: Sheet Number: <br /> S210727-2XR 3324 TULALIP AVE,EVERETT,WA 98201 <br /> Engineer: Subject: Date: <br /> FY 2ft Unreinforced Conc Beam 8/31/2021 <br /> DEMAND CALCULATION <br /> number of stories # I.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 p1f [Includes total height w/o ACI14§14.5.1.7 redux] <br /> Pt DL DL '4.00.k.: = 7.0 ft *946 [1-story loading] <br /> PILL LL 2.80k = 7.0 ft *980 [1-story loading] <br /> Pt Ltr LLr 3.50k = 7.oft *100 [1-story loading] <br /> moment from DL Mo, 8,378 lb-ft 100.5 k-in <br /> moment from LL Mo. 4,900 lb-ft 58.8 k-in <br /> moment from SL Mu, 6,125 lb-ft 73.5 k-in <br /> factored moment Mt.F° 140.8 k-in 1.40L <br /> Muao 251.5 k-in 1.2DL+1.6LL+0.5SL <br /> Mmro 297.0 k-in 1.2DL+1.6SL+LL <br /> controlling factored moment M. 297.0 k-in <br /> factored shear V,t,ro 3.9 k 1.4DL <br /> Vmso 6.5 k 1.2DL+1.6LL+0.5SL <br /> Vmao 7.5 k 1.2DL+1.6SL+LL <br /> controlling factored shear V. 7.5 k <br /> controlling factored bearing B. 7.5 k [R=V for 55 beam] <br /> STRENGTH CALCULATION <br /> concrete strength fc 2.5 ksi assumed <br /> light wt concrete mod.factor Is (1 normal weight concrete <br /> flexure strength red.factor 4)axx 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 ti)be,a", 0.65 ACI14[Table 21.2.1] <br /> moment of ineritia l,o, 11,016 in4 *see attached <br /> elastic section modulus S,,., 1,001 in3 *see attached <br /> tens fiber to NA c 11.0 in *see attached <br /> nom flexure strength(T controls) M„ 250.4 k-in Mn=52�Sm ACI 318-14[Eq.14.5.2.1a] <br /> nom flexurestrength(C controls) Mn 2,128.1 k-in ;tf,—0.85j,`S„ ACI 318-14[Eq.14.5.2.1b] <br /> RESIDENTIAL CONCRETE Mn 375.5 k-in M„=7.551-17,Sm CONTROLS ACI 332-14[Eq.8.2.1.1] <br /> flexure strength 4iM* 338.0 k-in >Mu OK D/C=87.89% <br /> nom shear strength V" 14.4 k n=±,W c*A ACI14[Table 14.5.5.1[a)] <br /> 3 <br /> shear strength 4,V„ 10.8 k >Vu OK 1 D/C=69,86% <br /> loaded bearing area Ai 74 in2 [IDEAL 2-7/8"Tru-Force Underpinning Bracket] <br /> supporting surface bearing area Ar 74 in2 [If the supporting surface is>than loaded area] <br /> nom bearing strength B„ 156.6 k O.85f„`At ACI14[Table 14.5.6.1(c)] <br /> bearing strength 4iB„ 101.8 k >Bu OK D/C=7.4% <br /> Additional Verification Cale: <br /> max concrete tensile strength f, 375 psi f=7.51 ACI 14[Eq.19.2.3.1] <br /> max beam tensile stress F, 297 psi Ft=(M*c)/Lxx <br /> f, >Ft OK <br />