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1.10 In Plane Diaphragm Flexibility <br />AASC <br />_5' � i i DECK <br />Skew Cut Diaphragm Boundary <br />At skew cut conditions, the minimum number of fasteners <br />is determined based on the location of the fasteners in the <br />ribs per the perpendicular attachment schedule. The average <br />spacing of the fastener per sheet shall not be greater than the <br />spacing of the parallel boundary fasteners. Fasteners may <br />need to be doubled up in some flutes to achieve this. (See <br />figure 1.10.1) <br />Figure 1.10.1: SKEW DIAPHRAGM <br />Diaphragm Shear Zoning <br />Steel deck diaphragms may be zoned based on shear <br />demand on the diaphragm to create the most economical <br />roof structure. This may not be practical for every building, <br />but many rectangular large roof structures lend themselves <br />to zoning. The deck panel along the collectors will have the <br />highest shear demand dropping off toward the middle of the <br />diaphragm. The deck gage and attachment pattern can be <br />reduced as the shear demand in the diaphragm diminishes <br />(see Figure 1.10.2). <br />Figure 1.10.2: DIAPHRAGM SHEAR ZONING <br />Diaphragm Deflection <br />Diaphragms in plane deflections should be based on the <br />shear deflection of the diaphragm. For diaphragms that do not <br />have a large aspect ratio of length to depth, flexural deflec- <br />tion should not be considered. Flexural deflection equations <br />based on slender beams do not apply to deflection of deep <br />beams, which are generally considered beams with a length <br />to depth ratio of 5:1 or less. Diaphragms with length to depth <br />ratios greater than 5:1 probably do not meet the requirements <br />for flexural deflections because the diaphragm, acting as the <br />web of the beam, is orders of magnitude more flexible than the <br />diaphragm cords, acting as the flanges of the beam. <br />Typical lengths of steel deck panels that are safe and efficient <br />for erection are in the 20 to 35 foot range. For erection safety, <br />3 span sheets are the desirable minimum sheet length. A mini- <br />mum 3 span condition should not be specified because sin le <br />and doublespans are required for layout in most buildin s. For <br />design purposes a ratio of span to length, R, from '/3 to 15 is <br />appropriate for general design. <br />F=#.#+#.# R R L <br />F = Diaphragm stiffness in micro inches per Ibs <br />L = Vertical load span, which is the support spacing <br />L = Deck panel length, which is a multiple of the vertical load span <br />Example: <br />DG13-36, 20 gage, 36/7/4 attachment pattern, DeltaGrip® spacing of 12 <br />inches, Vertical load span of 5 feet F=7.1+19.6R <br />Assume R = 1/5, a 25 foot long panel with 5 foot vertical load span <br />F=7.1+19.6R=7.1+19.6(1/5)=11 <br />Figure 1.10.3: DIAPHRAGM STIFFNESS FACTOR <br />Diaphragm Deflection Concept <br />The deflection of a diaphragm that is zoned for shear can be <br />approximated by summing the deflection of each deck zone, <br />based on the diaphragm stiffness of each zone (see Figure <br />1.10.4). For zone 3 in the figure, the diaphragm stiffness of the <br />least stiff zone is applied to the entire building depth. <br />14 L 0-1 <br />Atotai <br />A' 1 A, <br />+A3 <br />Atotal= Al + 62+ A, <br />Figure 1.10.4: DIAPHRAGM DEFLECTION CONCEPT <br />24 V1.0 • Roof Deck Catalog www.ascsd.com SC - 5 <br />