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18 Preliminary design of seismically isolated RC highway overpasses

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George C. Manos, Stergios A. Mitoulis and Anastasios G. Sextos<br />

bearings that are manufactured by international companies. In addition, due to the complexity<br />

<strong>of</strong> the above process and although permissible according to the codes, in most cases the <strong>design</strong>ers<br />

are reluctant to use experimentally tested products <strong>of</strong> the local industry, hence, they<br />

lean primarily towards commercially manufactured products <strong>of</strong> the international market.<br />

3 THE PROPOSED KNOWLEDGE-BASED DECISION MAKING SYSTEM<br />

The methodology presented herein for the preliminary <strong>design</strong> <strong>of</strong> base <strong>isolated</strong> bridges is<br />

described in detail. The methodology applies to all bridges <strong>isolated</strong> with low damping steel<br />

laminated elastomeric bearings (LDRBs), with the exception <strong>of</strong> cases where monolithic pierdeck<br />

or abutment-deck connections are combined with bearing-type pier-deck connections.<br />

The verification <strong>of</strong> the methodology is given in section 6 <strong>of</strong> the paper and shows satisfactory<br />

results in straight bridges. The structure <strong>of</strong> the KBES can be summarized in the following<br />

three steps, which also conceptually comply with those proposed by [13].<br />

3.1 Step 1: User Input<br />

A database <strong>of</strong> commercially available and experimentally tested elastomeric bearings is<br />

first compiled consisting <strong>of</strong> bearings’ properties, (i.e. shear stiffness G), shape (i.e., rectangular<br />

or circular), rubber and steel plate thickness, height, and width, overall area (A) and dimensions<br />

(B x , B y or D). Possible bridge structural systems, characterized by different number<br />

and length <strong>of</strong> middle and central spans (L 1 or L 2 ), that define the total bridge length (L tot ) and<br />

the mass per unit length (m), as well as initial configurations <strong>of</strong> n bearings are herein defined<br />

by the <strong>design</strong>er. Seismic hazard is also considered with the most commonly used parameters<br />

in mind, i.e. the <strong>design</strong> seismic acceleration (S a ), soil type and the importance factor <strong>of</strong> the<br />

bridge under study.<br />

3.2 Step 2: Decision process<br />

The second step <strong>of</strong> the methodology includes the necessary and basic calculations and<br />

checks for the <strong>seismically</strong> <strong>isolated</strong> bridge. The <strong>design</strong>er decides the acceptable range for bearing<br />

compression (σ e ) where a minimum <strong>of</strong> 2.0 MPa and a maximum value <strong>of</strong> 5.0 MPa are<br />

proposed by the system itself according to [14]. The limit for the bearing’s compression ensures<br />

that friction will be adequate to avoid the sliding <strong>of</strong> the bearing during seismic shear<br />

loading, whereas the upper limit is given to ensure that the shear strain due to the interaction<br />

between the neoprene and the steel plates under compression will remain at acceptable limits<br />

(i.e., εc,d ≤ 2.5 according to Eurocode 8 Part 2). It is noted that this limitation is optional, in<br />

the sense that it is not explicitly imposed by the codes, however, it is good common practice.<br />

For instance, the vast majority <strong>of</strong> the bearings used in <strong>isolated</strong> bridges built along the Egnatia<br />

Highway have been <strong>design</strong>ed not to exceed 5.0 MPa in compression. As such, the compression<br />

criterion is adopted as the first filter applied to all the bearings checked.<br />

Based on the mass <strong>of</strong> the bridge, the compression stress (σ e ) is derived as a ratio <strong>of</strong> the total<br />

vertical load acting on each bearing (P i ) over its own area (A). The criterion proposed by<br />

Eurocode 8-Part 2 for the calculation <strong>of</strong> the maximum effective normal stress <strong>of</strong> the bearing is<br />

herein adopted:<br />

2b <br />

min<br />

e<br />

<br />

3t <br />

t<br />

where σ e is maximum effective normal stress <strong>of</strong> the bearing, b min is the minimum dimension<br />

<strong>of</strong> the bearing, t t is the total thickness <strong>of</strong> the elastomeric, G the shear modulus <strong>of</strong> the elastomer<br />

and S min the minimum shape factor <strong>of</strong> the bearing layers.<br />

GS<br />

min<br />

(1)<br />

4

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