Question

Q3] For protection, the barrel barrier is placed in front of the bridge pier. If the relation between the force and deflection of the barrier is F (90000x0.5) lb, %3D where is in x ft, determine the car's maximum penetration in the barrier. The car has a weight of 4000 lb and it is traveling with a speed of 75 ft/s just before it hits .the barrier

Answer 1

Solution:

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Given that,

Lo 3 N

Therefore by applying the principle of Work and Energy,

Ti+ U142 =T2 žmo? - % * 90(10%) 31/2 dx = zmus 23/2 1/4000 2 32.2 (75)2 – 90(103) im 1/4000 2 32.2 lo 3/2 (02 1 mas 3 (909) (75)2 – 90(10%) 3/2 3/2 0 The cars maximum penetration in the barrier is then, Xmax = 3.24 ft