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17 of 24 <br /> Project Number: Plan Name: Sheet Number: <br /> S220412-2XR Foundation Stabilization <br /> Engineer: Subject: Date: <br /> IT Unreinforced Conc Design Check 6/22/22 <br /> DEMAND CALCULATION <br /> number of stories 8 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 250 plf [Includes total height w/o ACI14§14.5.1.7 redux] <br /> Pt DL DL 4.95 k = 6.0 ft *825 [2-story loading] <br /> Pt LL LL 5.88 k = 6.0 ft *980 [2-story loading] <br /> Pt LLr LLr 2.40 k = 6.0 ft *400 [2-story loading] <br /> moment from DL MDL 8,550 lb-ft 102.6 k-in <br /> moment from LL MLL 8,820 lb-ft 105.8 k-in <br /> moment from SL MLLr 3,600 lb-ft 43.2 k-in <br /> factored moment MLRFD 143.6 k-in 1.4DL <br /> MLRFD 314.1 kin 1.2DL+1.6LL+0.5SL <br /> MLRFD 298.1 k-in 1.2DL+1.6SL+LL <br /> controlling factored moment M„ 314.1 k-in <br /> factored shear VLRFD 4.5 k 1.4DL <br /> VLRFD 9.2 k 1.2DL+1.6LL+0.551 <br /> VLRFD 8.7 k 1.2DL+1.6SL+LL <br /> controlling factored shear V. 9.2 k <br /> controlling factored bearing B„ 9.2 k (R=V for SS beam] <br /> STRENGTH CALCULATION <br /> concrete strength f'c 2.5 ksi assumed <br /> light wt concrete mod.factor is 1 normal weight concrete <br /> flexure strength red.factor 4ttiex 0.9 tension-controlled ACI14[Table 21.2.1] <br /> shear strength red.factor Chew 0.75 ACI14[Table 21.2.1] <br /> bearing strength red.factor tbbexr„g 0.65 ACI14[Table 21.2.1) <br /> moment of ineritia Ix, 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) M„ 250.4 k-in Mn=S,1csm ACI 318-14[Eq.14.5.2.1a] <br /> nom flexure strength(C controls) Mn 2,128.1 k-in ,f f,-0.85f's, ACI 318-14[Eq.14.5.2.1b] <br /> RESIDENTIAL CONCRETE M, 375.5 k-in M„=7.55A S,n CONTROLS ACI 332-14[Eq.8.2.1.1] <br /> flexure strength tk,M„ 338.0 k-in >Mu OK D/C=92.92% <br /> nom shear strength V, 14.4 k vn=3-34/c*A ACI14[Table 14.5.5.1(a)] <br /> shear strength 4)V„ 10.8 k >Vu OK D/C=84.94% <br /> loaded bearing area Al 74 in2 [IDEAL 2-7/8"Tru-Force Underpinning Bracket] <br /> supporting surface bearing area A2 74 in2 [If the supporting surface is>than loaded area] <br /> nom bearing strength B„ 156.6 k 0.851'A i ACI14[Table 14.5.6.1(c)] <br /> bearing strength 4B„ 101.8 k >Bu OK D/C=9.01% <br /> Additional Verification Calc: <br /> max concrete tensile strength f, 375 psi fr=7.547c ACI 14[Eq.19.2.3.1] <br /> max beam tensile stress F, 314 psi =(M* <br /> c)/ <br /> Ft f. <br /> f, >Ft OK <br />