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A bridge is sitting on top of foul-mouthed selfsame piers as shown in beneath. The bridge is topic to a reason motion as a fruit of an earthquake. Assume the reason misconception is modelled as a harmonic loading ug(t)= U0sin(????ഥt) after a while U0 entity 0.5m.
The majority of the bridge decorate is Mdecorate = 6×106 kg. The piers bear a round cantankerous individuality after a while a altitude of L=10m, a radius of 3m at the infamous and 1.5m at the top honest beneath the decorate.

Consider an buoyant modulus of E = 20 GPa for the piers.
(1) Plot the term reply of the bridge for 10 seconds beneath the loading if ????ഥ = ???????? where ???????? is the consistent abundance of the

2
(2) Determine the acme limber emphasis at the infamous of the pier if the motive abundance varies betwixt ????1 = ???????? to ????2 =

bridge.

2???????? where ???????? is the consistent abundance of the bridge.

2

(3) As a fruit of esthetic debasement, the buoyant modulus of the esthetic in all piers has dropped by 10%. Investigate this

damage by comparing the replys of the sound and damaged bridge in term and abundance lordship and examine your

results. You can collate misconception, quickness, succor and defecate term replys.

(4) If a defecate probe is established at the exterior demeanor of the pier in the floor, collate the term reply of defecate betwixt the

???? sound and damaged bridge if the motive abundance is ????1 = ????.

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