Precast, Prestress Bridge Girder Design Example

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Precast, Prestress BridgeGirder Design ExamplePGSuper TrainingRichard Brice, PEWSDOT Bridge and Structures Office

Precast, Prestressed Girder Design Example – PGSuper Training (2/4/2020)Table of Contents1Introduction. 11.123Bridge Description . 12.1Site Conditions . 12.2Roadway . 12.3Bridge Layout . 2Design Preliminaries . 43.1Construction Sequence. 43.2Girder Length . 43.3Section Properties . 53.3.1Effective Flange Width . 53.3.2Composite Girder Properties. 63.3.3First Moment of Area of deck slab, . 73.3.4Section Property Summary . 73.44Sign Convention . 1Structural Analysis . 83.4.1Girder Construction (Casting Yard) . 83.4.2Erected Girder . 93.4.3Analysis Results Summary . 123.4.4Limit State Responses . 123.4.5Live Load Distribution Factors . 13Flexure Design . 154.1Step 1 Design for Final Service Conditions . 164.1.1Stresses due to loads on non-composite section. 164.1.2Stresses due to loads on the composite section . 174.1.3Check Estimate of Final Concrete Strength . 194.2Step 2 - Design for Lifting without Temporary Top Strands . 204.2.1Proportion Strands . 204.2.2Prestress losses . 204.2.3Check girder stability . 224.2.4Determine Concrete Strength at Lifting . 284.3Step 3 - Design for Shipping . 284.3.1Estimate Prestress Losses at Shipping . 284.3.2Check Girder Stability . 304.3.3Check concrete strength . 394.4Step 4 - Design for Lifting with Temporary Top Strands . 394.5Step 5 – Check Erection Stresses . 40i

Precast, Prestressed Girder Design Example – PGSuper Training (2/4/2020)4.5.1Losses between Transfer to Deck Placement . 404.5.2Stresses . 414.656Step 6 – Check Final Conditions. 424.6.1Losses from Deck Placement to Final . 424.6.2Stresses . 444.6.3Moment Capacity . 464.7Check Splitting Resistance . 504.8Check Confinement Zone Reinforcement . 51Shear Design . 515.1Locate Critical Section for Shear . 515.2Check Ultimate Shear Capacity . 525.2.1Compute Nominal Shear Resistance . 525.2.2Check Requirement for Transverse Reinforcement . 545.2.3Check Minimum Transverse Reinforcement . 545.2.4Check Maximum Spacing of Transverse Reinforcement. 555.3Longitudinal Reinforcement for Shear. 555.4Check Horizontal Interface Shear . 555.4.1Check Nominal Capacity . 565.4.2Check Minimum Reinforcement . 57Check Haunch Dimension . 576.1Slab and Fillet . 576.2Profile Effect . 586.2.1Vertical Curve . 596.2.2Horizontal Curve . 596.2.3Profile Effect . 606.3Girder Orientation Effect . 606.4Excess Camber . 606.4.1Compute Creep Coefficients . 626.4.2Compute Deflections . 626.5Check Required Haunch . 636.6Compute Lower Bound Camber at 40 days . 636.6.1Creep Coefficients . 636.6.2Compute Deflections . 636.7Check for Possible Girder Sag . 637Bearing Seat Elevations . 648Design Summary . 649Load Rating . 64ii

Precast, Prestressed Girder Design Example – PGSuper Training (2/4/2020)9.1Inventory Rating . 649.1.1Moment . 649.1.2Shear . 659.1.3Bending Stress – Service III limit state . 659.2Operating Rating . 669.2.1Moment . 669.2.2Shear . 669.3Legal Loads. 669.3.1Moment . 679.3.2Shear . 679.3.3Bending Stress – Service III limit state . 689.4Permit Loads . 6810Software . 6911References. 69iii

Precast, Prestressed Girder Design Example – PGSuper Training (2/4/2020)List of FiguresFigure 2-1: Bridge Section at Station 7 65 . 2Figure 2-2: Girder Dimensions . 2Figure 2-3: Slab Detail . 3Figure 3-1 Assumed Construction Sequence . 4Figure 3-2 Connection Geometry . 5Figure 3-3 Effective Flange Width . 5Figure 3-4 Centroid of Non-composte and Composite Section . 7Figure 3-5: Slab Haunch . 10Figure 3-6: HL93 Live Load Model . 12Figure 3-7: eg Detail . 13Figure 4-1: Optimized Fabrication Girder Design Procedure . 16Figure 4-2: Optimum Strand Arrangement . 20Figure 4-3: Equilibrium of Hanging Girder . 22Figure 4-4: Girder Self-Weight Deflection during Lifting. 22Figure 4-5: Offset Factor . 24Figure 4-6: Equilibrium during Hauling . 30Figure 4-7: Prestress induced Deflection based on Storage Datum . 31Figure 4-8: Discretized Girder Section for Strain Compatibility Analysis . 48Figure 4-9: Graphical method to Determine Critical Section Location . 51Figure 5-1: Slab Fillet Effect . 58Figure 5-2: General Method for Profile Effect . 58Figure 5-3: Vertical Curve Effect . 59Figure 5-4: Horizontal Curve Effect . 60Figure 5-5: Top Flange Effect . 60Figure 5-6: Camber Effect . 61Figure 5-7: Camber Diagram . 61iv

Precast, Prestressed Girder Design Example – PGSuper Training (2/4/2020)1 IntroductionThe purpose of this document is to illustrate how the PGSuper computer program performs its computations. PGSuper is acomputer program for the design, analysis, and load rating of precast, prestressed concrete girder bridges.A design example followed by a load rating analysis illustrates the engineering computations performed by PGSuper.PGSuper

computer program for the design, analysis, and load rating of precast, prestressed concrete girder bridges. A design example followed by a load rating analysis illustrates the engineering computations performed by PGSuper. PGSuper uses a state-of-the-art iterative design algorithm and other iterative computational procedures. Only the final

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