Rational load rating of deck-girder bridges with girder end shear cracks in reverse orientation.
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2017-04-01
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Abstract:Reverse diagonal shear cracking at reinforced concrete girder supports affects many low-volume bridges built
in the early 1900s in Kansas. This phenomenon, however, is not addressed in the American Association of State
Highway and Transportation Officials (AASHTO, 2002) Standard Specifications for Highway Bridges or American
Concrete Institute specifications. This study investigates causes of this cracking and develops Bridge Rating of
Inclined Damage at Girder Ends (BRIDGE), an Excel-based software, to determine load rating of a user-specified
bridge with reverse diagonal shear cracking at girder supports. A user interface creates a grillage model of an existing
bridge and places various rating trucks on the bridge. Equivalent flexibility analysis distributes truck live loads within
deck panels to surrounding girders and diaphragms. Stiffness matrices are utilized to find nodal displacements and
reactions at the girder supports caused by truck live loads and bridge dead load. These reactions are checked against
RISA software models to test the accuracy of the stiffness matrix application. ABAQUS FE models and Mohr’s circle
stress distribution determine driving and clamping forces on the crack due to resolution of dead and live load reactions
and friction force generated between the concrete girder and rusty steel bearing pad along the shear crack orientation.
In addition to the simplified modified compression field theory, these clamping and driving forces are used to
determine the shear capacity of each girder at the reverse cracks. A modified version of Equation 6B.4.1 from the
Manual for Bridge Evaluation (AASHTO, 2011) is used to find operating and inventory rating factors (RFs) for the
bridge.
The BRIDGE program, used to load rate Bridge No. 54-104-15.45, yielded reasonable RFs for various trucks
and reduced girder widths. The operating RFs were consistently above 1 and the inventory RFs were below 1,
indicating that the decision to load post this bridge is based on the engineer’s judgment.
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