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22 of 30 <br /> Project Number: Plan Name: Sheet Number: <br /> S221206-1XR 5315 233rd PI SE <br /> linginccr: Subject: Date: <br /> NI 48"Unreinforced Conc Beam 3/4/2023 <br /> DEMAND CALCULATION <br /> number of g 2 stories <br /> span L 6.0 ft [max on-center pile spacing] <br /> concrete area A 392 in2 "see attached <br /> concrete self weight SW 408 plf [Includes total height w/o ACI14§14.5.1.7 redux] <br /> w DL DL 705 plf [2-story loading] <br /> wLL LL 680 plf [2-story loading] <br /> w Ltr LLr 350 plf [2-story loading] <br /> ••Assuming a single span between 2 piles-in reality continuous spans between piles will have reduced moments'• <br /> moment from DL Mot 5,010 lb-ft 60.1 k-in <br /> moment from LL Mu 3,060 lb-ft 36.7 k-in Mmax=,seta <br /> moment from SL M,„ 1,575 lb-ft 18.9 k-in <br /> shear from DL Vpt 3,340 lb 3.34 k <br /> shear from LL Vtt 2,040 lb 2.04 k max=?wb <br /> shear from SL Vtt, 1,050 lb 1.05 k <br /> factored moment Mute 84.2k-in 1.4DL <br /> Miaro 140.3 k-in 1.2DL+1.6LL+0.55L <br /> Mu,,, 139.1 k-in 1.2DL+1.6SL+LL <br /> controlling factored moment M„ 140.3 k-in <br /> factored shear Via 4.7 k 1.40E <br /> Moro 7.8 k 1.2DL+1.6LL+0.5SL <br /> Vmm 7.7 k 1.2DL+1.65E+LL <br /> controlling factored shear V. 7.8 k <br /> controlling factored bearing B„ 7.8 k Bmax=mar <br /> STRENGTH CALCULATION <br /> concrete strength f'c 2.5 ksi assumed <br /> light wt concrete mod.factor A 1 normal weight concrete <br /> flexure strength red.factor tbn•, 0.6 ACI 318-14(Table 21.2.1] <br /> shear strength red.factor 4s,r„ 0.6 ACI 318-14[Table 21.2.1] <br /> bearing strength red.factor (bee.,Y 0.6 ACI 318-14[Table 21.2.1] <br /> 'Note that per ACI 318-1d Ch.27.3.2 a phi factor of 0.8 con be used if dimensions and material properties ore confirmed. <br /> moment of ineritia l0 73,974 in4 °see attached <br /> elastic section modulus S. 3,397 in3 'see attached <br /> tens fiber to NA c 24.2 in "see attached <br /> nom flexure strength(T controls) Mn 849.3 k-in Mn=5zV i cSm CONTROLS ACI 318-14[Eq.14.5.2.1a] <br /> nom flexurestrength(C controls) Mn 7,218.9 k-in .N"-0.85/'S_ ACI 318-14[Eq.14.5.2.1bj <br /> RESIDENTIAL CONCRETE Mn 1,273.9 k-in Mn=7.552Sm 8 ACI 332-14[Eq.8.2.1.1] -not utilized <br /> flexure strength 4tMn S09.6 k-in >Mu OK D/C=27.54% <br /> nom shear strength Vn 26.1 k n=3 2�•A ACI14[Table 14.5.5.1(a)] <br /> shear strength cbV, 15.7 k >Vu OK D/C=49.73% <br /> loaded bearing area A, 74 in2 [IDEAL 2-7/8"Tru-Force Underpinning Bracket] <br /> supporting surface bearing area Az 74 in2 [If the supporting <br /> pporting surface is>than loaded area] <br /> nom bearing strength Bn 156.6 k 0.85C',f, ACI14[Table 14.5.6.1(co] <br /> bearing strength 4,B, 94.0 k >Bu OK D/C=8.30% <br /> Additional Verification Cater <br /> max concrete tensile strength f, 375 psi f=7,51 ACI 318-14[Eq.19.2.3.1] <br /> max beam tensile stress F, 46 psi Ft=(M•c)/lxx <br /> f, >Ft OK <br />