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From page 35...
... 35   A P P E N D I X B Finite Element Analyses After completing the literature review, the researchers proposed several analytical models to assess the shear key performance. The purpose of the analytical modeling was: 1.
From page 36...
... 36 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Modulus of Elasticity 3,800 ksi Poisson Ratio 0.2 Tensile Strength 500 psi Coefficient of Thermal Expansion 5.5 x 106/oF Grouta Compressive Strength 3 ksi at one day 8 ksi at 28 days Modulus of Elasticity 3,000 ksi Poisson Ratio 0.2 Tensile Strength 600 psi Coefficient of Thermal Expansion 5.5 x 106/oF (assumed same as concrete) Steel Modulus of Elasticity 29,000 ksi Coefficient of Thermal Expansion 6 x 106/oF Bearing Pads 9 in.
From page 37...
... Finite Element Analyses 37 in Table B-3 shows the results of test Model 1 without diaphragms and the pinned and roller boundary conditions. The next row in Table B-3 shows the increase in the stresses in the shear key with the addition of end diaphragms.
From page 38...
... 38 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Figure B-2. Shear key configurations.
From page 39...
... Finite Element Analyses 39 consistent with what has often been observed in the field with cracking occurring longitudinally due to transverse stress. The maximum transverse stress in the shear keys increased with the span length and girder depth for the standard Type III and thick full-depth Type V shear keys.
From page 40...
... 40 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Table B-4. Maximum stress in shear key due to temperature.
From page 41...
... Finite Element Analyses 41 Figure B-3. Case 2 transverse shear key stresses for standard (Type III)
From page 42...
... 42 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Figure B-5. Case 10 transverse shear key stresses for thick full-depth (Type V)
From page 43...
... Finite Element Analyses 43 Figure B-6. Case 6 without throat transverse shear key stresses for thin full-depth (Type IV)
From page 44...
... 44 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Figure B-8. Model 29 assembly (deck, shear keys, and diaphragms hidden)
From page 45...
... Finite Element Analyses 45 Figure B-11. Model 38 assembly (deck, shear keys, and diaphragms hidden)
From page 46...
... 46 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Figure B-14. Model 31 PT transverse stresses (end and quarter points PT)
From page 47...
... Finite Element Analyses 47 Figure B-16. Model 32 shear key (Type IV)
From page 48...
... 48 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Figure B-18. Model 38 shear key (Mid-Depth)
From page 49...
... Finite Element Analyses 49 the stresses are high near the top and exceed 700 psi. The transverse stresses are highly tensile near the top but drop significantly and quickly with depth, eventually turning to compression.
From page 50...
... 50 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Figure B-19. Case 30 transverse shear key stresses for standard (Type III)
From page 51...
... Finite Element Analyses 51 Figure B-21. Case 36 transverse shear key stresses for thick full-depth (Type V)
From page 52...
... 52 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems deeper. The PT Type IV, Type V, and mid-depth keys developed lower final maximum transverse tensile stresses compared to the non-PT Type IV key for all span length and girder depth combinations.
From page 53...
... Finite Element Analyses 53 Table B-8. Models to study reinforcement in joints.
From page 54...
... 54 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Table B-9. Maximum stress in reinforced shear key due to temperature.
From page 55...
... Finite Element Analyses 55 Figure B-28 provides the results for the transverse shear key stresses of the thick full-depth (Type V)
From page 56...
... 56 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Figure B-29. Placement of a truck on the bridge for live load analysis.
From page 57...
... Finite Element Analyses 57 Table B-10. Tensile stresses in shear keys due to truck load only (select models)
From page 58...
... 58 Guidelines for Adjacent Precast Concrete Box Beam Bridge Systems Figure B-30. Stress in the Type III shear key (Case 1)

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