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15 of 23 <br /> Project Number: Plan Name: Sheet Number. <br /> 5210803-2XR 5811 Beverly Lane <br /> Engineer Subject Date: <br /> NJ 2ft Unreinforced Conc Beam 8/15/2021 <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 4.70 k = 6.0 ft '946 [1-story loading] <br /> Pt LL LL 2.40 k = 6.0 ft *980 [1-story loading] <br /> Pt LLr LLr 2.40 k = 6.0 ft *100 [1-story loading] <br /> moment from DL MDL 8,175 lb-ft 98.1 k-In <br /> moment from LL Mu 3,600 lb-ft 43.2 k-in <br /> moment from SL Mu, 3,600 lb-ft 43.2 k-in <br /> factored moment MLRFD 137.3 k-in 1.40L <br /> MLRFD 208.4 k-in 1.20L+1.6LL+0.5SL <br /> MLRFD 230.0 k-in 1.2DL+1.6SL+LL <br /> controlling factored moment M„ 230.0 k-In <br /> factored shear WRFC/ 4.3k 1.4DL <br /> VLRFD 6.2 k 1.2DL+1.6LL+0.5SL <br /> WRFC, 6.8 k 1.2DL+1.6SL+LL <br /> controlling factored shear V,, 6.8 k <br /> controlling factored bearing B" 6.8 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'ne, 0.9 tension-controlled ACI14[Table 21.2.1] <br /> shear strength red.factor 4:ne,. 0.75 ACI14[Table 21.2.1] <br /> bearing strength red.factor 4ne,.mg 0.65 ACI14[Table 21.2.1] <br /> moment of ineritia <br /> 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 Ma=Sd Sm ACI 318-14[Eq.14.5.2.1a] <br /> nom flexure strength(C controls) M„ 2,128.1 k-in i/,.--ilFj!'.5. ACI 318-14[Eq.14.5.2.1b] <br /> RESIDENTIAL CONCRETE M„ 375.5 k-in Mn=7.554Sm CONTROLS ACI 332-14[Eq.8.2.1.1] <br /> flexure strength I iPM„ 338.0 k-in >Mu OK I D/C=68.06% <br /> nom shear strength V„ 14.4 k V.=3 2 r A ACI14[Table 14.5.5.1(a)] <br /> shear strength I 4V„ 10.8 k >Vu OK I D/C=63.33% <br /> loaded bearing area AL 74 in2 [IDEAL 2-7/8"Tru-Force Underpinning Bracket] <br /> supporting surface bearing area Ar 74 in2 [If the supporting surface is>than loaded area] <br /> nom bearing strength B„ 156.6 k O.8.W.-I, ACI14[Table 14.5.6.1(co] <br /> bearing strength ( 438„ 101.8 k >Bu OK I D/C=6.72% <br /> Additional Verification Calc: <br /> max concrete tensile strength f, 375 psi f;-=7,5,1 ACI 14[Eq.19.2.3.1] <br /> max beam tensile stress F, 230 psi Ft=(M* <br /> c) <br /> l(xx <br /> f, >Ft OK I <br />