Performance of Steel Pipe Pile-to-Concrete Bent Cap Connections Subject to Seismic Or High Transverse Loading, Phase I : Preliminary Investigation 1998
Performance of Steel Pipe Pile-to-Concrete Bent Cap Connections Subject to Seismic Or High Transverse Loading, Phase I : Preliminary Investigation 1998
Montana.Dept. of Transportation.Research, Development And Technology Transfer Program
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The moment M{x) is the corresponding moment. Va is the reaction force at the abutment. Using X as the horizontal coordinate with a value of zero at the abutment and expressing the deformation of the deck in terms of simple beam equations, one arrives at the following forms: EIov"" = w,, 2 EIdv" = w,^ + Vax = -M{x), ^ x' ^ ^ ^ EIdv' = U.'x— + Va— - 0, 4 3 EIuv = w^— + Va^- (bx, 4. FRAME MODEL 37 where EId is the bending rigidity (§4.3), ^t; is the lateral displacement, and 0=— . (4.1/) 6 The abu...tment parameter K can be related to the interaction force imposed by the bent, V^ = ^{w^L+^^^^^ (4.18) where Wc ^ --28 kips is the weight of the pile-cap. If displacement compatibility is enforced between the mid-section of the deck and the top of the piles {v{L) = v{h)), then the reaction force at the top of the piles (Vh) can be expressed by V^ - 4L^EIb/EIj, + 2/z3 ' ^^'''^ where EIb is the rigidity of the bent (§4.3). Notice that, as with the piles (§4.4.1), the last of beam equations for the deck (4.16) can be used to approximate the flexural stiffness (k) of the deck.
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