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NDT of Steel Materials, Steel Bridge Design, and Evaluation as Per LRFR By Piya Chotickai tailieuxdcd@gmail.com Outline Steel Bridge Design Design consideration and limit state Design loads and load combination Load distribution Nondestructive Evaluation (NDE) Principles of NDE Dye Penetrant Testing Ultrasonic Testing Magnetic Particle Testing Acoustic Emission Load Evaluation per LRFR Load rating from standards Load rating from bridge load test tailieuxdcd@gmail.com Steel Bridge Design Basic design expression in AASHTO LRFD: iiQi Rn Where Qi = force effect, Rn = nominal resistance, I = load factor, = resistance factor, I = load modification factor Load modification factor (I) accounts ductility, redundancy, and operation importance of the bridge I = D R i D = 1.0 for conventional design R = 1.0 for conventional redundancy, 1.05 for nonredundant members I = 1.0 for conventional bridge tailieuxdcd@gmail.com Limit state is a condition beyond which a bridge system or bridge component ceases to fulfill the function for which it is designed Strength Limit State: Strength I Normal vehicular use of the bridge without wind Strength II Owner-specified special design vehicle (or permit vehicles) without wind Strength III Bridge exposed to wind velocity > 90 km/hr High winds prevent the presence of significant LL on bridge Strength IV High dead load to live load force effect ratios (Long Span Bridge) Strength V Normal vehicles with wind of 90 km/hr tailieuxdcd@gmail.com Serviceability Limit State: Service I Normal operational use of the bridge with 90 km/hr wind and all loads taken at their nominal values Service II Control yielding of steel structures and slip of slip-critical connections due to vehicular live load Fatigue Limit State Fatigue and fracture load combination relating to repetitive gravitational vehicular live load and dynamic responses under a single design truck tailieuxdcd@gmail.com Load Combination and Load Factor tailieuxdcd@gmail.com Load Factor for Permanent Load tailieuxdcd@gmail.com Resistance Factor for Strength Limit State tailieuxdcd@gmail.com Bridge Analysis Structural response: Live load model and strain gage instrumentation Thai Truck 1.3 HS20-44 Truck Load 1.3 HS20-44 Lane Load tailieuxdcd@gmail.com Obtain structural response from 1-D model with GDF or 3-D analysis model GDF ~ 0.21-0.52 (Schilling, 1982) AASHTO LRFD provided GDF equations obtained from extensive finite element analyses AASHTO LRFD: 30% Impact Factor 3-D Model 1-D Model with GDF tailieuxdcd@gmail.com Only permanent loads and vehicular loads are considered in load rating Dead Load: Structural component and attachment (DC), wearing surface and utilities (DW) Accordance with the actual conditions Secondary effect from prestressing shall be considered as permanent load Vehicular Load: Design Load: HL-93 design load per LRFD Legal Load: AASHTO legal load (Type 3, Type 3S2, Type 3-3) Permit Load: Actual Permit Load tailieuxdcd@gmail.com Design Load (HL-93) tailieuxdcd@gmail.com Type Type 3S2 Type 3-3 AASHTO Legal Loads tailieuxdcd@gmail.com Load Rating Equation: RF Where C C S Rn C( = = = = = = DC )(DC) ( DW )(DW) ( ( L )LL IM P P) CS Rn for strength limit state fR for service limit state condition factor system factor (redundancy) LRFD resistance factor nominal resistance tailieuxdcd@gmail.com NBI Rating (Scale 1-9) and Repair Actions NBI Rating Action Minor maintenance Major maintenance Minor repair Major repair Rehabilitation Replacement tailieuxdcd@gmail.com Condition Factor (C) Structural Condition NBI Rating C Good or Satisfactory or higher 1.00 Fair 0.95 Poor or Lower 0.85 tailieuxdcd@gmail.com Load Factor for Load Rating (LRFR 2003) tailieuxdcd@gmail.com Legal Load Factor (L) Permit Load Factor (L) tailieuxdcd@gmail.com IM = = = Dynamic Load Allowance 15% for Fatigue Limit State 33% for Other Limit State Multiply static load with (1+IM/100) Impact factor = Max Dyn Response / Max Static Impact Factor at Bottom Flange – Use FFT to Define Dynamic Response tailieuxdcd@gmail.com Dynamic Load Factor (Nowak and Zhou 1985) Mean Standard Deviation Type of Structure Range Average Range Average P/C AASHTO girders 0.05-0.10 0.09 0.03-0.07 0.05 P/C Box & Slabs 0.10-0.15 0.14 0.08-0.40 0.30 Steel girders 0.08-0.20 0.14 0.05-0.20 0.10 Rigid frame, truss 0.10-0.25 0.17 0.12-0.30 0.26 tailieuxdcd@gmail.com Load Rating by Load Testing Load Tests: Diagnostic Test - To determine certain response characteristics - Can be static or dynamic test Proof Test - To establish the maximum safe load where the bridge behavior is within the linear elastic range - Mostly static Why does structural response from analysis differ from actual behavior? Due to unintended composite action, secondary members, unintended continuity/fixity, and nonstructural elements tailieuxdcd@gmail.com Benefits: Unknown or low-rated components Load Distribution Difficult to analyze the effects of observe deterioration or damage on the load carrying capacity Fatigue evaluation and distortion-induced fatigue Dynamic load allowance Measurements: Strain – electrical resistance gages Displacement and rotation – laser, displacement transducer (LVDT), tiltmeter Dynamic characteristic - accelerometer tailieuxdcd@gmail.com RFT = RFC * K Where RFT = Load rating for live-load capacity based on load test RFC = Rating Factor from analysis K = (Measured Response)/(Analysis Response) Multi-Axle Vehicle tailieuxdcd@gmail.com Values for Kb tailieuxdcd@gmail.com Thank you tailieuxdcd@gmail.com