Ly connected to the deformation of the major beam.Consequently, k is as follows: whereWherek = k1 /k2 ,/ ,(2)(two)12 32 9 144 81 81 36 9 108 36 108 36 28 432 432 216 432 216 216 216 432 108 432 108 432 276 45 276 45 432 432 288 1440 216 72 288 . 216 It may be approximated that the length of each and every hanger is equal to that of the hanger It can be approximated that the length of every hanger is equal to that on the hanger to become replaced when the length of the hanger has tiny difference; hence, and may be to be replaced when the length with the hanger has tiny distinction; therefore, k1 and k2 may be expressed as follows:expressed as follows:3 k1 =48 b I2 48EAE b 2EAS3 3Eb,Ib L , +(3) (4)(3) (four)3 two =7 A2 S6 + 108EAE I LS36 36E2 I 2 L2 , 108 k 7E2 + b, b b b2.two. Calculation of Hanger Removal Process2.2. Calculation of Hanger Removal ProcessThe hanger and some beam segments replaced may be taken taken out as shown in the hanger and a few beam segments to beto be replaced can beout as shown in Figure44in the process of hanger removal. The upper finish in the hanger could be fixed at the fixed at Pyrroloquinoline quinone medchemexpress Figure within the procedure of hanger removal. The upper end in the hanger might be the archand the reduce end is connected to the pocket the pocket hanging tensioning technique, arch rib, rib, and also the decrease finish is connected to hanging tensioning method, which which incorporates a hold thehold the cross beam, whilebeam takesbeam takes the beam section incorporates a jack to jack to cross beam, while the key the primary the beam section bebetween the sectionsCofand and Cboth sides from the of the hanger to become replaced. The anxiety on tween the sections of L CL CR on R on each sides hanger to be replaced. The pressure around the key beam segment is shown in Figure 5, which is subject for the of your hanger the main beam segment is shown in Figure 5, which is topic for the force F force F in the hanger to become replaced and the pocket hanging hanger T, the shear shear force Q in the of to become replaced and also the pocket hanging hanger forceforce T, the force Q in the sections sections of CL and C , , as well as the resultant force G on the pocket hanging program and also the dead CL and CRRand the resultant force G from the pocket hanging method weight weight plus the dead Appl. Sci. 2021, 11, x FOR PEER Review 6 of 17 weight in the major beam section. Subsequent, the hanger removal method are going to be calculated take this beam section as an example.Figure 4. Schematic diagram with the hanger and part of beam segment to be replaced. Figure four. Schematic diagram in the hanger and a part of beam segment to become replaced.Appl. Sci. 2021, 11,six ofFigure 4. Schematic diagram on the hanger and part of beam segment to be replaced.Figure five. Beam section force diagram during hanger removal. Figure 5. Beam section force diagram in the course of hanger removal.2.two.1. Initial State 2.2.1. Initial State The initial state is definitely the Sarizotan site finished bridge state of half-through arches having a suspended The initial state may be the completed bridge state of half-through arches using a suspended deck by cable hangers before the hanger replacement: deck by cable hangers just before the hanger replacement: g (a) Old hanger: elastic modulus for E, cross section area of A , and cable length L. (a) Old hanger: elastic modulus for , cross section location of , 0 and cable length . (b) Pocket hanging hanger: elastic modulus for E , cross section location of A , cable (b) Pocket han.