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OCR for page 39
39
Two-Cell CIP Dead Load:
Midspan Outside Shear (kips) Midspan Outside Corner Stress (ksi)
1.14 0.945
0.94
1.12
0.935
1.1 0.93
Curve/Grid
Curve/Grid
0.925
1.08
0.92
1.06 0.915
0.91
1.04
0.905
1.02 0.9
200 400 600 800 1000 Straight 200 400 600 800 1000 Straight
Radius (ft) Radius (ft)
a) Midspan Outside Girder Shear Ratio b) Longitudinal Stress Ratio
Figure 4-14. Line graphs of shear and stress ratios of results from spine and grillage
models.
symmetrical. Therefore, the diaphragms were shown to have results from spine to grillage models. It was found that, in
very little effect on the global response of the bridge. general, magnitudes of curve to straight results are in the
same order as the integral bridges. Therefore, the final con-
clusion is that, as long as the support conditions are modeled
Bearings at the Bents
correctly, the same guidelines for modeling limitations are
The purpose of this study was to determine if bridges with equally applicable to integral and non-integral conditions.
integral and non-integral bents respond differently to curve
effects. All three-span five-cell spine and grillage bridge mod-
Skewed Abutments
els used in the parametric study were also modified to have a
point bearing support at the piers; i.e., free to move in trans- A two-cell single-span (200 ft long) and a two-cell three-span
verse or longitudinal directions. The results were studied bridge (200ft-300ft-200ft) were modified to have 30-degree
using scatter-grams and ratio (line) diagrams comparing the skew support at the left support and another case with 30-degree
All 3-Span Vr /Vs Dead Load CIP1_6x18_sp3l_dl
1.18 CIP1_6x18_sp3m_dl
CIP1_6x18_sp3s_dl
CIP1_6x6_sp3l_dl
1.16
CIP1_6x6_sp3m_dl
CIP1_6x6_sp3s_dl
1.14 PC1_6x18_sp3l_dl
PC1_6x18_sp3m_dl
1.12 PC1_6x18_sp3s_dl
PC1_6x6_sp3l_dl
1.1 PC1_6x6_sp3m_dl
Vr/Vs
PC1_6x6_sp3s_dl
1.08 CIP2_6x18_sp3l_dl
CIP2_6x18_sp3m_dl
CIP2_6x18_sp3s_dl
1.06
CIP2_7x7_sp3l_dl
CIP2_7x7_sp3m_dl
1.04 CIP2_7x7_sp3s_dl
CIP5_6x18_sp3l_dl
1.02 CIP5_6x18_sp3m_dl
CIP5_6x18_sp3s_dl
1 CIP5_8x8_sp3l_dl
0 0.5 1 1.5 2 CIP5_8x8_sp3m_dl
Length/Radius (L/R) CIP5_8x8_sp3s_dl
Figure 4-15. Ratio of outside web dead load shear forces in curved (Vr)
to straight (Vs ) bridges where length equals middle span length.
OCR for page 40
40
All 3-Span Vline /Vgrid Dead Load Total CIP1_6x18_sp3l_dl
CIP1_6x18_sp3m_dl
CIP1_6x18_sp3s_dl
1.08
CIP1_6x6_sp3l_dl
CIP1_6x6_sp3m_dl
1.06
CIP1_6x6_sp3s_dl
PC1_6x18_sp3l_dl
1.04 PC1_6x18_sp3m_dl
PC1_6x18_sp3s_dl
1.02 PC1_6x6_sp3l_dl
PC1_6x6_sp3m_dl
Vline/Vgrid
1 PC1_6x6_sp3s_dl
CIP2_6x18_sp3l_dl
0.98 CIP2_6x18_sp3m_dl
CIP2_6x18_sp3s_dl
0.96 CIP2_7x7_sp3l_dl
CIP2_7x7_sp3m_dl
0.94 CIP2_7x7_sp3s_dl
CIP5_6x18_sp3l_dl
0.92 CIP5_6x18_sp3m_dl
CIP5_6x18_sp3s_dl
CIP5_8x8_sp3l_dl
0.9
0 0.5 1 1.5 2 CIP5_8x8_sp3m_dl
CIP5_8x8_sp3s_dl
Length/Radius (L/R)
Figure 4-16. Ratio of outside web dead load shear forces from spine
to grillage model.
CIP1_6x18_sp3l_dl
All 3-Span fr /fsDead Load
CIP1_6x18_sp3m_dl
1.1 CIP1_6x18_sp3s_dl
CIP1_6x6_sp3l_dl
CIP1_6x6_sp3m_dl
1.08 CIP1_6x6_sp3s_dl
PC1_6x18_sp3l_dl
PC1_6x18_sp3m_dl
1.06
PC1_6x18_sp3s_dl
PC1_6x6_sp3l_dl
PC1_6x6_sp3m_dl
1.04
PC1_6x6_sp3s_dl
fr/fs
CIP2_6x18_sp3l_dl
1.02 CIP2_6x18_sp3m_dl
CIP2_6x18_sp3s_dl
CIP2_7x7_sp3l_dl
1 CIP2_7x7_sp3m_dl
CIP2_7x7_sp3s_dl
CIP5_6x18_sp3l_dl
0.98
CIP5_6x18_sp3m_dl
CIP5_6x18_sp3s_dl
CIP5_8x8_sp3l_dl
0.96
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 CIP5_8x8_sp3m_dl
Length/Radius (L/R) CIP5_8x8_sp3s_dl
Figure 4-17. Ratio of outside corner dead load longitudinal stress in curved to straight
bridge.