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PROJECT : PAGE : <br />CLIENT : DESIGN BY : <br />JOB NO. : DATE : REVIEW BY : <br />INPUT DATA & DESIGN SUMMARY <br />EQUIPMENT WEIGHT W =1.76 kips <br />CM HEIGHT H =4.00 ft, 2/3 total height <br />LAG SCREW DIAMETER φ =1/4 in, NDS APP. L <br />LAG SCREW LENGTH Long =3 1/2 in, NDS APP. L <br />ANCHORAGE LENGTH L =7 ft <br />L EDGE NL =3 per line <br />LAG SCREW SPACING <br />ANCHORAGE WIDTH B =5 ft <br />B EDGE NB =3 per line <br />LAG SCREW SPACING <br />[THE ANCHORAGE, USING 1/4" x 3.5" LAG SCREWS, IS ADEQUATE.] <br />ALLOWABLE TENSION & SHEAR VALUES <br />Z ' = CD C C Z =503 lbs <br />where <br />C = p / (8D) =1.628 <br />p = S + (T-E) - (Diaphragm Thk) - t = 3.256 in <br />Diaphragm Thk = 0.298 in (0.298 for 15/32, 0.319 for 19/32, UBC Table 23-2-H, page 3-420) <br />t = 0.134 in (10 gage, NDS Tab 12K) <br />C =0.92 (NDS 10.3.6) <br />Z =210 lbs (NDS Tab 12K) <br />Z ' = CD C C Z 335 lbs <br />Z =140 lbs (NDS Tab 12K) <br />where W =378 lbs / in (NDS Tab 12.2A) <br />DESIGN LOADS <br />FH = F =(KH) MAX{ 0.3SD I W , MIN[ 0.4CARSDSI (1+2.5z/h)/R W , 1.6SDSI W ] }, (ASCE 7-22, Sec. 13.3.1) <br />=1 MAX{ 0.39W , MIN[ 1.05W , 2.10W ]} where <br />=1.23 W , (SD)I =1.5 (ASCE Sec. 13.1.3) <br />=0.88 W , (ASD) =1.54 kips <br />R =1.5 (ASCE Tab. 13.6-1) <br />FV = KV W =0.13 W , (ASD) =0.22 kips, up & down z =14.5 ft <br />MAXIMUM OVERTURNING MOMENT AT ANCHOR EDGE <br /><MOT ,therefore design tension anchors. <br /><MOT ,therefore design tension anchors. <br />TENSION LOAD AT CORNER LAG SCREW <br />T = (FV -0.9 W) / A + MOT y / I =123 lbs / bolt T = (FV -0.9 W) / A + MOT y / I =241 lbs / bolt <br />where A = 2(NL + NB) -4 =8 (total bolts)where I = ΣY 2 =5400 <br />I = ΣX 2 =10584 y = 0.5 B =30 in <br />y = 0.5 L =42 in <br />SHEAR LOAD AT EACH LAG SCREW <br />CHECK CORNER SCREW CAPACITY AT COMBINED LATERAL AND WITHDRAWAL LOADS <br />Za ' = Z '(W ' p) / (Z 'sin α + W'p cos α)(NDS 12.4-1) <br /> =613 lbs / bolt > [TL2 + V2 ]0.5 =229 lbs / bolt [SATISFACTORY] <br />where α = tan-1 <br />α + W'p cos2α)(NDS 12.4-1) <br /> =615 lbs / bolt > [TB2 + V2 ]0.5 =308 lbs / bolt [SATISFACTORY] <br />where θ = tan-1 <br /> <br /> <br />Equipment Anchorage to Wood Roof Based on NDS 2018 / 2021 IBC / 2022 CBC <br />L-31