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M410 20 of 27 <br /> Project Number. Plan Name: Sheet Number. <br /> S230726-1XR 1049 Crown Dr Everett <br /> Engineer Subject: Date: <br /> JT 26"Unreinforced Conc Beam 9/17/23 <br /> DEMAND CALCULATION <br /> number of stories N "1 stories <br /> span L 7.0ft [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 ACI14§14.5.1.7 redux] <br /> w DL DL 510 plf" [1-story loading] <br /> wLL LL 400 plf [1-story loading] <br /> w LLr LLr 400 plf [1-story loading] <br /> **Assuming a single span between 2 piles-in reality continuous spans between piles will have reduced moments** <br /> moment from DL Mai 4,502 lb-ft 54.0 k-in <br /> moment from EL Mt. 2,450 lb-ft 29.4 k-in Mmax=gtwe <br /> moment from SL MLL, 2,450 lb-ft 29.4 k-in <br /> shear from DL VD,. 2,573 lb 2.57 k <br /> shear from LL VLL 1,400 lb 1.40 k Vmax=2 L <br /> shear from SL VLF, 1,400 lb 1.40k <br /> factored moment Mmra 75.6 k-in 1.4DL <br /> Mmra 126.6 k-in 1.2DL+1.6LL+0.55E <br /> Mmm 141.3 k-in 1.2DL+1.65E+LL <br /> controlling factored moment Mn 141.3 k-in <br /> factored shear Vmra 3.6 k 1.4DL <br /> Vmra 6.0 k 1.2DL+1.6LL+0.5SL <br /> Vuuo 6.7 k 1.2DL+1.6SL+LL <br /> controlling factored shear V. 6.7 k <br /> controlling factored bearing B. 6.7 k Bmax=Vmax <br /> STRENGTH CALCULATION <br /> concrete strength fc 2.5 ksl assumed <br /> Tight wt concrete mod.factor A 1 normal weight concrete <br /> flexure strength red.factor 4 ,, 0.6 ACI 318-14[Table 21.2.1] <br /> shear strength red.factor 4,,ne„ 0.6 ACI 318-14[Table 21.2.1] <br /> bearing strength red.factor 43b,,,i„s 0.6: ACI 318-14[Table 21.2.1] <br /> 'Note that per ACI 318-14 Ch.27.3.2 a phi factor of 0.8 con be used if dimensions and material properties ore confirmed. <br /> moment of ineritia I,,, 11,016 led *see attached <br /> elastic section modulus S,„ '.1,001 in3'. *see attached <br /> tens fiber to NA c 13.0 In *see attached <br /> nom flexure strength(T controls) Mn 250.3 k-in MD=5ASm CONTROLS ACI 318-14[Eq.14.5.2.1a] <br /> nom flexure strength(C controls) Mn 2,127.1k-in ga"-0_851'S„, ACI 318-14[Eq.14.5.2.1b] <br /> RESIDENTIAL CONCRETE M„ 375.4 k-in MD=7.551.177;Sm X ACI 332-14[Eq.8.2.1.1] -not utilized <br /> flexure strength 4tM„ 150.2 k-in >Mu OK D/C=94.08% ;. ,.. - <br /> nom shear strength V„ 14.4 k V =3 A�*A ACI14[Table 14.5.5.1(a)] <br /> shear strength 4tV„ 8.6 k >Vu OK D/C=77.86% <br /> loaded bearing area Ai 74 in2 [IDEAL 2-7/8"Tru-Force Underpinning Bracket] <br /> supporting surface bearing area A, 74 in2 [If the supporting surface is>than loaded area] <br /> nom bearing strength B„ 156.6 k 0.35f'.4i ACI14[Table 14.5.6.1(c)] <br /> bearing strength $B„ 94.0 k >Bu OK D/C=7:16% <br /> Additional Verification Calc: <br /> max concrete tensile strength f, 375 psi f=7,5x4T ACI 318-14[Eq.19.2.3.1] <br /> max beam tensile stress F, 167 psi F,=(M*c)/fxx <br /> f, >Ft OK <br />