A Closure Jacking Force Calculation Algorithm for Curved Prestressed Concrete Continuous Rigid-Frame Bridges with Asymmetric Cantilevers and Piers

Table 1

Pier stress at each stage under different jacking forces (unit: MPa).

Position	Jacking force 5332 kN (objective I)		Jacking force 6975 kN (objective II)		Jacking force 12997 kN (objective III)
	Just after bridge completion	Ten years of bridge operation	Just after bridge completion	Ten years of bridge operation	Just after bridge completion	Ten years of bridge operation
27# pier-bottom 1	−2.76	−0.39	−3.24	−0.80	−4.99	−2.31
27# pier-bottom 2	−1.89	−0.63	−2.19	−0.90	−3.29	−1.86
27# pier-bottom 3	−0.75	−3.19	−0.26	−2.77	1.53	−1.24
27# pier-bottom 4	−1.61	−2.95	−1.30	−2.68	−0.17	−1.69
27# pier-top 1	−4.64	−5.07	−4.57	−5.03	−4.33	−4.89
27# pier-top 2	−3.89	−5.10	−3.72	−4.97	−3.06	−4.51
27# pier-top 3	−1.60	−1.29	−1.65	−1.31	−1.83	−1.41
27# pier-top 4	−2.34	−1.26	−2.51	−1.37	−3.10	−1.79
27# pier
28# pier-bottom 1	−2.02	−2.84	−1.86	−2.69	−1.26	−2.13
28# pier-bottom 2	−0.99	−2.33	−0.66	−2.05	0.53	−1.03
28# pier-bottom 3	−1.99	−1.18	−2.15	−1.33	−2.73	−1.87
28# pier-bottom 4	−3.03	−1.70	−3.35	−1.97	−4.52	−2.97
28# pier-top 1	−0.78	−0.21	−0.89	−0.27	−1.30	−0.49
28# pier-top 2	−7.42	−7.38	−7.32	−7.28	−6.94	−6.91
28# pier-top 3	−9.83	−10.40	−9.70	−10.30	−9.25	−10.10
28# pier-top 4	−3.19	−3.22	−3.28	−3.31	−3.61	−3.64
28# pier

The numbers with “^∗” denote the maximum principal stress, and others denote vertical normal stress on each stress point of piers. With no jacking force, the maximum principal stresses for Pier 27# in the state of bridge completion and ten years after bridge operation are 0.29 MPa and 1.09 MPa, respectively; those for 28# pier are 0.97 MPa and 0.96 MPa, respectively.