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18 of 25 <br /> Project Number: Plan Name: Sheet Number: <br /> 5220906-2XR Foundation Stabilization <br /> Engineer: Subject: Date: <br /> IT Unreinforced Conc Design Check 10/13/21 <br /> DEMAND CALCULATION <br /> number of stories N 1 stories <br /> span L 7.0 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 4.41 k = 7.0 ft "630 [1-story loading] <br /> Pt LL LL _ 3.64 k = 7.0 ft *520 [1-story loading] <br /> Pt LLr LLr 2.28 k = 7.0 ft *325 [1-story loading] <br /> moment from DL M5L 9,249 lb-ft 111.0 k-in <br /> moment from LL MLL 6,370 lb-ft 76.4 k-In <br /> moment from SL MLL, 3,981 lb-ft 47.8 k-in <br /> factored moment MLRF5 155.4 k-in 1.4DL <br /> MUM) 279.4 k-in 1.2DL+1.6LL+0.551 <br /> MLRF° 286.1 k-in 1.2DL+1.6SL+LL <br /> controlling factored moment M„ 286.1 k-in <br /> factored shear VLRFa 4.3 k 1.4DL <br /> VLRFa 7.2 k 1.2DL+1.6LL+0.5SL <br /> VLRFa 7.3 k 1.2DL+1.6SL+LL <br /> controlling factored shear V„ 7.3 k <br /> controlling factored bearing B„ 7.3 k [R=V for 5S beam] <br /> STRENGTH CALCULATION <br /> concrete strength Pc 2.5 ksi assumed <br /> light wt concrete mod.factor A 1 normal weight concrete <br /> flexure strength red.factor cne, 0.9 tension-controlled ACI14[Table 21.2.1] <br /> shear strength red.factor 4,,„ea, 0.75 ACI14[Table 21.2.1] <br /> bearing strength red.factor bea„"R 0.65 ACI14[Table 21.2.1] <br /> moment of ineritia 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) M, 250.4 k-in M,=.51,17f S," ACI 318-14[Eq.14.5.2.1a] <br /> nom flexurestrength(Ccontrols) M 2,128.1 k-in tl ACI 318-14[Eq.14.5.2.1b] <br /> RESIDENTIAL CONCRETE M„ 375.5 k-in Mn=7.55AS,,, CONTROLS ACI 332-14[Eq.8.2.1.1] <br /> flexure strength OM. 338.0 k-in >Mu OK D/C=84.64% <br /> nom shear strength V, 14.4 k 41 <br /> Vn=3 c*A ACI14[Table 14.5.5.1(a)] <br /> shear strength On 10.8 k >Vu OK D/C=67.93% <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 8, 156.6 k n.s<,' I ACI14[Table 14.5.6.1(c)] <br /> bearing strength j'B, 101.8 k >8u OK D/C=7.21% <br /> Additional Verification Calc: <br /> max concrete tensile strength fr 375 psi fr=7.5A>iT ACI 14[Eq.19.2.3.1] <br /> max beam tensile stress F, 286 psi __(M*c)/ <br /> Ft Ia <br /> f, >Ft OK <br />