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D 3<br />

D 1<br />

D 2<br />

D 6<br />

D 4<br />

D 5<br />

B<br />

Vertical Displacement =<br />

Lateral Displacement =<br />

Torsional Displacement = TAN -1<br />

Longitudinal Displacement =<br />

D3 + D6<br />

2<br />

D2 + S5<br />

2<br />

| D3 −D6|<br />

B<br />

D1 + D4<br />

2<br />

D i<br />

Note: All GPS at a deck section must be installed in the same vertical plane.<br />

= Direction of time-series GPS data, where i = 1, 2, 3, 4, 5, 7 & 6.<br />

Figure 26 Arrangement of GPS in Steel Deck Section<br />

Type of<br />

Input Data<br />

Type of Data<br />

Processing<br />

Type of Data<br />

Classification<br />

Type of Data<br />

Analysis<br />

Type of Derived<br />

Parameters<br />

Type of Plots<br />

GPS,<br />

Til<br />

Influence<br />

Lines<br />

Analyzed<br />

Results<br />

Correction of<br />

Abrupt Changes<br />

Spikes & Noises<br />

Removal<br />

Displacement<br />

Data<br />

Classification<br />

Deck at ¼<br />

Main Span<br />

Deck at ½<br />

Main Span<br />

Deck at ¾<br />

Main Span<br />

Tower at<br />

1 H<br />

Tower at<br />

2/3 H<br />

Tower at<br />

1/3 H<br />

Tower at<br />

0/3 H<br />

Upper Piers<br />

Time-Averaging<br />

Statistics<br />

Analysis<br />

Curve Fitting<br />

Analysis of<br />

Deck & Tower<br />

Profiles<br />

Displacement<br />

Input Type<br />

Finite Element<br />

Analysis<br />

Displacement<br />

Influence Lines<br />

Validation<br />

in Load Trials<br />

Hourly, Daily, Monthly<br />

Yearly Variations of<br />

Displacements at<br />

GPS and Til<br />

Instrumented Sections<br />

Deformed Line-Profiles<br />

of Deck and Towers<br />

Global Bridge<br />

Deformed Shape with<br />

Strain and Stress<br />

Contours<br />

Derived Stresses at<br />

Dynamic Strain<br />

Instrumented<br />

Steel Deck Sections<br />

Derived Stresses at<br />

Static Strain<br />

Instrumented<br />

Tower-Base and<br />

Pier-Base Sections<br />

Time-Series Plots of All Raw<br />

& Processed Data<br />

Deformed Line-Profiles of<br />

Deck and Towers<br />

Global Bridge Deformed<br />

Shape with Strain and Stress<br />

Contours Illustration<br />

Derived Stress/Force Outputs<br />

at Each Dynamic Strain<br />

Instrumented Deck Sections<br />

or Pre-defined Key Locations<br />

Derived Stress/Force Outputs<br />

at Each Static Strain<br />

Instrumented Tower & Pier<br />

Sections or Pre-defined<br />

Key Locations<br />

(under Strong Lateral Loads)<br />

Plots of Measured & Analyzed<br />

Displacement Influence Lines<br />

at GPS Instrumented<br />

Deck & Tower Sections<br />

Ane (U3D)<br />

Ane (U2D)<br />

Ane (P2D)<br />

TMU-6<br />

D-Str<br />

S-Str<br />

Acc-F(3D)<br />

Selection of<br />

Data at the same<br />

Time period as<br />

the GPS & Til<br />

data considered<br />

Data Editing &<br />

Classification<br />

Deck &<br />

Tower Winds<br />

Air<br />

Temperature<br />

Dynamic &<br />

Static Strains<br />

Deck<br />

Accelerations<br />

Tower<br />

Accelerations<br />

Time-Averaging<br />

Statistics<br />

Analysis<br />

Correlation of<br />

Measured & Analyzed<br />

Displacement<br />

Influence Lines at<br />

GPS instrumented<br />

Deck & Tower Sections<br />

Maximum, Mean,<br />

Minimum, Standard<br />

Deviation, etc.<br />

Comparison Plots of<br />

Derived Stresses &<br />

Measured Stresses<br />

Wind References at<br />

Deck-Levels & Tower-Tops<br />

Acceleration References at<br />

Deck & Tower Sections<br />

Temperature References<br />

in Air<br />

Figure 27 Flow Diagram of Customized Software Tools for Displacements Monitoring<br />

-278-

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