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15 of 21 <br /> Project Number: Plan Namc: Sheet Number. <br /> S220906-1XR 4332 Colby Ave <br /> Engineer Subject Date <br /> NJ 2ft Unreinforced Conc Beam 11/13/2022 <br /> DEMAND CALCULATION <br /> number of stories k 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 4.14 k = 6.0ft *946 [1-story loading] <br /> Pt LL LL 1.92k = 6.oft *980 [1-story loading] <br /> Pt LLr LLr 1.80 k = 6.0 ft *100 [1-story loading] <br /> moment from DL MD, 7,335 lb-ft 88.0 kin <br /> moment from LL Ma 2,880 lb-ft 34.6 kin <br /> moment from SL Mt„ 2,700 lb-ft 32.4 k-in <br /> factored moment Mtnro 123.2 k-in 1.4DL <br /> MOM 177.1 k-in 1.2DL+1.6LL+0.5SL <br /> Mtnro 192.0 k-in 1.2DL+1.6SL+LL <br /> controlling factored moment M„ 192.0 k-in <br /> factored shear VIM 3.9k 1.4DL <br /> Vtnio 5.4 k 1.2DL+1.6LL+0.5SL <br /> V,,0 5.8 k 1.2DL+1.65L+LL <br /> controlling factored shear V„ 5.8 k <br /> controlling factored bearing 8„ 5.8 k ]R=V for SS beam] <br /> STRENGTH CALCULATION <br /> concrete strength fc 2.5 ksi assumed <br /> light wt concrete mod.factor A 1 normal weight concrete <br /> flexure strength red.factor 4'n". 0.9 tension-controlled ACI14[Table 21.2.1] <br /> shear strength red.factor 4',e,„ 0.75 ACI14[Table 21.2.1] <br /> bearing strength red.factor cbn*,,,nr 0.65 ACI14[Table 21.2.1] <br /> moment of ineritie I. 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) Mn 250.4 k-in M„=51Sm ACI 318-14[Eq.14.5.2.1a] <br /> nom flexurestrength(C controls) Mn 2,128.1 k-in ;Y/„=0.85/,.'S„, ACI 318-14[Eq.14.5.2.1b] <br /> RESIDENTIAL CONCRETE NI. 375.5 k-in M„=7.554Sr„ CONTROLS ACI 332-14[Eq.8.2.1.1] <br /> flexure strength 4'Mn 338.0 k-in >Mu OK D/C=56.81% <br /> nom shear strength V... 14.4 k n=3'1V/c*A ACI14[Table 14.5.5.1(a)] <br /> shear strength 4'Vn 10.8 k >Vu OK I D/C=53.56% <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 0.85f,'AI ACI14[Table 14.5.6.1(c)] <br /> bearing strength 4,Bn 101.8 k >Bu OK D/C=5.68% <br /> Additional Verification Cale: <br /> max concrete tensile strength f, 375 psi f,.=7.54 K ACI 14[Eq.19.2.3.1] <br /> max beam tensile stress F, 192 psi Ft=(" <br /> *c) <br /> /fxx <br /> f, >Ft OK <br />