170 likes | 304 Views
Location and Evaluation of Maximum Dynamic Effects on a Simply Supported Beam due to a Quarter-Car Model. Authors: Daniel Cantero & Dr. Arturo González (University College Dublin). 1. 2. 3. 4. 5. Overview. 1) Introduction. 2) P-load. 3) Speed Influence. 4) Monte Carlo. 5) Conclusions.
E N D
Location and Evaluation of Maximum Dynamic Effects on a Simply Supported Beam due to a Quarter-Car Model Authors: Daniel Cantero & Dr. Arturo González (University College Dublin)
1 2 3 4 5 Overview 1) Introduction 2) P-load 3) Speed Influence 4) Monte Carlo 5) Conclusions
1 2 3 4 5 Introduction Vehicle/Bridge Interaction Maximum Stress not necessarily at mid-span
1 2 3 4 5 P-load Euler-Bernoulli beam Constant vertical force at constant speed Span = 25m Speed = 25 m/s Load = 10 KN
1 2 3 4 5 P-load Static Bending Moment at mid-span
1 2 3 4 5 P-load Total Bending Moment at mid-span (Static + Dynamic) DAF = 0.9959
1 2 3 4 5 P-load Total Bending Moment (Static + Dynamic) FDAF = 1.0648 COP = 11 m
1 2 3 4 5 P-load FDAF DAF
1 2 3 4 5 P-load Dynamic Amplification Factor DAF = 0.9959 Full length Dynamic Amplification Factor FDAF = 1.0648 FDAF = ( 1 + γ ) · DAF γ = 6.92 % COP = 11 m Critical Observation Point COP = 44 %
1 2 3 4 5 Speed Influence DynamicAmplification & FDAF DAF γ values COP
1 2 3 4 5 Monte Carlo Vehicle parameters ( Speed, Masses, Suspension stiffness and damping, Tyre stiffness) Bridge lengths ( 8 different spans between 17 and 31 m) Road profile ( ISO Class A, B and C profiles)
1 2 3 4 5 Monte Carlo COP
1 2 3 4 5 Monte Carlo γ values
1 2 3 4 5 Monte Carlo Mean Values
1 2 3 4 5 Conclusions 1) Maximum stress can be significantly higher than mid-span stress 2) Maximum stresses occur in between 30 % and 70 % of bridge span 3) Road roughness has big influence
1 2 3 4 5 Acknowledgments Assessment and Rehabilitation of Central European Highway Structures