Vehicle crossing a bridge problem. Bridge which is supported beam and car is simplified to be...
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Vehicle crossing a bridge problem. Bridge which is supported beam and car is simplified to be a moving point force moving across the bridge with velocity v, as indicated in Figure 1. The bridge spans L = 100m between the supports, is made of material with density p = 8000kg/m3. The driving lanes are in total 10m wide and the thickness of the bridge section is 1m with a solid cross section. Assume the bridge is a solid steel beam with a Young's modulus of elasticity E=200GP.. equivalent load L Figure 1: Car moving across a bridge (not to scale) and corresponding equivalent system. Questions: If a vehicle of weight 1500kg has a velocity ofv= 50km/h and the bridge is at rest in equilibrium shape at t = 0, determine the deflection of the bridge as function of time when: 1. t= 3.6s 2. t= 7.2s Vehicle crossing a bridge problem. Bridge which is supported beam and car is simplified to be a moving point force moving across the bridge with velocity v, as indicated in Figure 1. The bridge spans L = 100m between the supports, is made of material with density p = 8000kg/m3. The driving lanes are in total 10m wide and the thickness of the bridge section is 1m with a solid cross section. Assume the bridge is a solid steel beam with a Young's modulus of elasticity E=200GP.. equivalent load L Figure 1: Car moving across a bridge (not to scale) and corresponding equivalent system. Questions: If a vehicle of weight 1500kg has a velocity ofv= 50km/h and the bridge is at rest in equilibrium shape at t = 0, determine the deflection of the bridge as function of time when: 1. t= 3.6s 2. t= 7.2s
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Related Book For
College Algebra Graphs and Models
ISBN: 978-0321845405
5th edition
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
Posted Date:
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