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• <br /> I 0 <br /> Project Number: Plan Name: Sheet Number <br /> S201123-4XR Foundation Stabilization <br /> Engineer: Subject: Date: <br /> ZT 3ft Unreinforced Conc Beam 1/18/2021 <br /> DEMAND CALCULATION <br /> number of stories # 2 stories <br /> span L 6.0 ft [max on-center pile spacing] <br /> concrete area A 216 in2 *see attached <br /> concrete self weight SW 2S0 plf [Includes total height w/o ACI14§14.5.1.7 redux] <br /> Pt DL DL 5.31k = 6.0ft *885 [2-story loading] <br /> Pt LL LL 8.40 k = 6.0 ft *1400 [2-story loading] <br /> Pt LLr LLr 2.70 k = 6.0 ft *450 [2-story loading] <br /> moment from DL Mai 9,090lb-ft 109.1 k-in <br /> moment from LL Mu 12,600lb-ft 151.2 k-in <br /> moment from SL Man 4,050 lb-ft 48.6 k-in <br /> factored moment Mraro 152.7 k-in 1.4DL <br /> MLaro 397.1 k-in 1.2DL+1.6LL+0.5SL <br /> MLRFO 359.9 k-in 1.2DL+1.6SL+LL <br /> controlling factored moment M,, 397.1 k-in <br /> factored shear WRFC/ 4.8 k 1.4DL <br /> VLRFo 11.5 k 1.2DL+1.6LL+0.5SL <br /> VLRF. 10.4 k 1.2DL+1.6SL+LL <br /> controlling factored shear V„ 11.5 k <br /> controlling factored bearing 8,, 11.5 k [R=V for SS beam] <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 4'nex 0.9 tension-controlled ACI14[Table 21.2.1] <br /> shear strength red.factor 4shear 0.75 ACI14[Table 21.2.1] <br /> bearing strength red.factor d'eeanac 0.65 ACI14[Table 21.2.1] <br /> moment of ineritia I. 30,597 in4 *see attached <br /> elastic section modulus S,„ 1,929 in3 *see attached <br /> tens fiber to NA c 18.0 in *see attached <br /> nom flexure strength(Tcontrols) M„ 482.3 k-in Mtr=5AArrcSm ACI 318-14[Eq.14.5.2.1a] <br /> nom flexure strength(C controls) M, 4,099.1 k-in .1/,..-II r>L`.5.. ACI 318-14[Eq.14.5.2.1b] <br /> RESIDENTIAL CONCRETE Mn 723.4 k-in Mt,=7.551S,r, CONTROLS ACI 332-14[Eq.8.2.1.1] <br /> flexure strength 4MR 651.0 k-in >Mu OK D/C=61.00% <br /> nom shear strength V, 14.4k V,=3x�*A ACI14[Table 14.5.5.1(a)] Acceptable <br /> shear strength 4,V„ 10.8k <Vu FAILED D/C=106.31% by Inspection <br /> loaded bearing area A, 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 0.85/"q, ACI14[Table 14.5.6.1(c)] <br /> bearing strength $8R 101.8 k >au OK D/C=11.28% <br /> Additional Verification Cale: <br /> max concrete tensile strength f, 375 psi f,=7.5x f'c ACI 14[Eq.19.2.3.1] <br /> max beam tensile stress F, 234 psi Ft=(M a c) <br /> k, <br /> f, >Ft OK <br /> IP`22 <br />