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<br />Vertical Support Members (wood posts/piles) <br /> <br />Depending upon the anticipated loading to be transferred to the vertical support member, it is necessary <br />to determine the capacity of a given vertical member. In determining the values in Tables 4.13 to 4.16, <br />it was necessary to apply beam/column theory and solve for the capacity of a given member under <br />various design and load conditions. This capacity is determined as follows: ' <br /> <br /> <br />lIP = ( 1, (f )( K) ) <br />AcF'c + SxF'b <br /> <br />Where: <br /> <br />P = Vertical member capacity (Ib) <br /> <br />Ac = Area of the vertical member (in2) <br />= d2 for square members <br />'lI'd2 for round members <br />- 4 <br />Where: <br />d = diameter (in) <br /> <br />f = Total length of the vertical member above and below grade (in) including scour allowance <br />from Table 4.5 <br /> <br />Sx = Section modulus of the vertical member (in3) <br />_ (bd2) for square members, <br />-""'El <br />'lI'r2 for round members <br />- 4 <br />Where: <br />r = radius (in) <br />d = depth (in) <br />b = base (in) <br /> <br />F'b = Bending stress of vertical member modified for moisture, duration and service conditions <br />(psi) <br /> <br />K = A1B <br />Where: <br /> <br />A=(h)(Wf) and <br /> <br /> <br />B- ~fXFfF +[(h~2) (wLl](~~)) <br /> <br />Where: <br />(w + 30 ") - a <br />E= <br />2 " <br />F'c = Compressive strength of vertical member (psi) <br />if fld s 11, then F'c = 625 psi ffi <br />if 11 <lId < K', where K' = 0.671 \J Fe ex <br />then F'c = 625 (ex) [1-V3(~~)4] <br /> <br />if f/d = K', then F'c = 625(213) <br />if f/d>K' and s50, then F'c = 0.3E <br />(f/d)2 <br /> <br />E = Modulus of elasticity (psi) <br />ex = 1.0 <br /> <br />92 <br />