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Project Number Plan Name: Sheet Number: <br /> S221116-1XR 1101 Grand View Dr <br /> , <br /> Engineer: Subject: Date: <br /> K] 2ft Unreinforced Conc Beam 12/9/2022 <br /> DEMAND CALCULATION <br /> number of stories # 1 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 250 plf [Includes total height w/o ACI14§14.5.1.7 redux] <br /> Pt DL DL 8.22k = 6.0ft •946 [1-story loading] <br /> Pt LL LL 3.36 k = 6.0 ft •980 [1-story loading] <br /> Pt LLr LLr 1.20 k = 6.0 ft a 100 [1-story loading] <br /> moment from DL Mat 13,455 lb-ft 161.5 k-in <br /> moment from LL Mu 5,040 lb-ft 60.5 k-in <br /> moment from SL Mtt, 1,800 lb-ft 21.6 k-in <br /> factored moment M05D 226.0 k-in 1.4DL <br /> MLRFD 301.3 k-in 1.2DL+1.6LL+0.5SL <br /> MLRFD 288.8 k-in 1.2DL+1.6SL+LL <br /> controlling factored moment M„ 301.3 k-in <br /> factored shear VLara 6.8k 1.4DL <br /> VLnr° 8.8 k 1.2DL+1.611+0.SSL <br /> VLaOD 8.5 k 1.2DL+1.65L+LL <br /> controlling factored shear V. 8.8 k <br /> controlling factored bearing B„ 8.8 k [R=V for SS beam] <br /> STRENGTH CALCULATION <br /> concrete strength fc 2.5 ksi assumed <br /> light art concrete mod.factor 5 1 normal weight concrete <br /> flexure strength red.factor 4'n„. 1 0.9 tension-controlled ACI14[Table 21.2.1] <br /> shear strength red.factor 4',.„„ 0.75 ACI14[Table 21.2.1] <br /> bearing strength red.factor 4'b,„,,„ 0.65 ACI14[Table 21.2.11 <br /> moment of ineritia I„ 11,016 in4 'see attached <br /> elastic section modulus 5,,. 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„=SA NITS,„ ACI 318-14[Eq.14.5.2.1a] <br /> nom flexurestrength(C controls) M, 2,128.1 k-in ,lf„—0.85/,'S," ACI 318-14[Eq.14.5.2.1b] <br /> RESIDENTIAL CONCRETE M,. 375.5 k-in M„=7.55AS,„ CONTROLS ACI 332-14[Eq.8.2.1.1] <br /> flexure strength dt M,, 338.0 k-in >Mu OK D/C=89.15% <br /> nom shear strength V„ 14 4 k n=3 d�«A ACI14[Table 14.5.5.1(a)] <br /> shear strength On 10.8 k >Vu OK D/C=81.67% <br /> loaded bearing area At 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 It.851,7A, ACI14[Table 14.5.6.1(c)] <br /> bearing strength •B„ 101.8 k >Bu OK D/C=8.66% <br /> Additional Verification Cale: <br /> max concrete tensile strength f, 375 psi f=7.54T ACI 14[Eq.19.2.3.11 <br /> max beam tensile stress F, 301 psi Ft=(M«c) <br /> llxx <br /> f, >Ft OK <br />