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Module on the Assessment of the Structural Condition. Bucharest October 5-7, 2010. Condition Assessment Based on Strain Measurements (Long-term Behavior). Direct Evaluation of Internal Forces from Measurements Data Required number of strain sensors : Column Cross-section : 3
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Module on the Assessment of the Structural Condition Bucharest October 5-7, 2010 DBA
Condition Assessment Based on Strain Measurements (Long-term Behavior) DBA Direct Evaluation of Internal Forces from Measurements Data Required number of strain sensors : Column Cross-section : 3 Beam Cross-section : 2 Columns : 2 Cross-sections : 2x3= 6 Beams : 3 Cross-sections : 3x2= 6 Example : 5 storey building 25 columns and 40 beams per storey Required number of strain sensors : N = 5 ( 25x6+40x6 ) = 5x390 = 1950
Condition Assessment Based on Strain Measurements (Long-term Behavior) DBA Indirect Evaluation of Internal Forces by Computer Aided Analysis Main Long-term Effects : Shrinkage and Creep of Concrete Differential Foundation Settlements From measurement data, the variations of the reaction forces on the foundation are evaluated The internal forces of the totality of the elements are calculated by a non linear analysis computer program Required number of strain sensors: Base column cross-section over the foundation : 3 Concrete specimen for shrinkage measurement : 2 Concrete specimen for creep measurement : 2 For the above example: N = 25x3+2+2 = 79
Condition Assessment Based on Strain Measurements (Long-term Behavior) DBA
2. Long Term Behavior 2.2 Local Condition Table 3: Actual and Ultimate Internal Forces – Safety Factors 2.3 Global Condition Table 4: Differential Settlemennts DBA
2. Long Term Behavior2.3 Global Condition Non-linear structural analysis by SAP2000 γG(DL) +γQ(LL)+ γG(ΔδG)+γQψ1(ΔδQ)+γG(S) From the analysis results the capacity of the structural members: Table 5: Internal Forces DBA
3. Seismic Behaviour δx1,δy1,δx2,δy2 : Horizontal displacements at A1,A2 as functions of time δ = δ(t) , resulting after double integration of the acceleration α = d(t) DBA
3. Seismic Behaviour3.1 Seismic Displacements Velocities: Displacements: Table 6: Accelerations and displacements at the positions of the two accelerometers in the storey m. DBA
3. Seismic Behaviour3.3. Local Condition DBA Total Plastic Rotation Resultant Bending Moments Damage Index Table 10. Damage Index D
3. Seismic Behaviour3.4. Global Condition Total Failure Condition Formation of Plastic Hinge Storey Mechanism DBA
3. Seismic Behaviour3.4. Global Condition DBA 0.20 Plastic Hinge IF nm: The number of columns in the storey 2nm: The required number of hinges for instability nhm: The number of hinges develeved in storey , the index of instability of the storey is Index of the Global Instability of the Building Table 11. Index of Global Instability