3-D Finite Element Analysis and Load Rating of I-10 ... Finite Element... · 3-D Finite Element...

3-D Finite Element Analysis and Load Rating of I-10 Calcasieu River

Bridge, Lake Charles

SDR Engineering Consultants, Inc. 2260 Wednesday Street, Suite 500

Tallahassee, FL 32308 Tel: 850-222-2737 Fax: 850-386-9197

Approach Span Load Rating

• Superstructure

• Bent cap

Main/Deck Truss Load Rating

• Tension/compression member

• Gusset plate

• Floor beam

• Stringers

TRUSS SPAN PROFILE

Three main truss spans, total length 840 ft

Four deck truss spans, 180 ft each

Members are mainly built-up box section

FLOOR BEAM SWAY FRAME

MAIN TRUSS CROSS-SECTION

Stringers are rolled I-section

Floor beams are built-up I-sections

Floor beams are strengthened with cover plates

APPROACH SPANS PROFILE

West Approach

Steel girder spans: Span 1 to 45

Fracture critical spans: Span 46 to 52

APPROACH SPANS PROFILE

East Approach

Fracture critical spans: Span 60 to 66

Steel girder spans: Span 67 to 97

APPROACHES CROSS-SECTION

INCORPORATE INSPECTION RESULTS

Verification: • Element size and geometry • Number of bolts/rivets • Section losses • Missing information

Design Plan Survey

ANALYSIS SOFTWARE

Element Computer Software

Truss member LUSAS, Excel

Truss gusset plate LUSAS, Excel

Truss floor beam LUSAS, Excel

Truss stringer Virtis

Approach span beam Virtis, Excel

Approach span pier cap RC-Pier, Excel

MAIN/DECK TRUSS LOAD RATING

LUSAS MODELING

FEA Model

LUSAS MODELING

Close-up View

HINGES AT END OF DROP SPANS

LUSAS MODEL VS. DESIGN PLAN

0

250

500

750

1000

1250

1500

1750

2000

Mem

ber

Fo

rce

(kip

s)

Top Chord Dead Load Comparison

LUSAS

Plan

LUSAS MODEL VS. DESIGN PLAN

0

250

500

750

1000

1250

1500

1750

2000

Me

mb

er

Forc

e (

kip

s)

Bottom Chord Dead Load Comparison

LUSAS

Plan

LOADING POSITIONS

C NORTH TRUSS L C SOUTH TRUSS L C BRIDGE L

12’

D

0.64 k/ft

6’

12’

2’ B

0.64 k/ft

6’

12’

A

0.64 k/ft

6’ 12’

2’ C

0.64 k/ft

6’

12’

2’ E

0.64 k/ft

6’

12’

F

0.64 k/ft

6’

12’

D

0.64 k/ft

6’

12’

2’ E

0.64 k/ft

6’

12’

F

0.64 k/ft

6’

12’

2’ C

0.64 k/ft

6’

LOAD COMBINATIONS

For Truss Members

Load Combination M.P.F

E 1.2

E+F 1.0

E+F+C 0.85

E+F+C+D 0.65


LOAD COMBINATIONS For Floor Beams

Lanes Loaded Load Combination MPF

1-Lane E, F, B, A 1.2

2-Lane B+A, B+C, B+D, A+C, A+D, E+F,

E+A, E+C, E+D, F+C, F+D, C+D

1.0

3-Lane B+A+C, B+A+D, E+F+C,

E+F+D, E+C+D, F+C+D

0.85

4-Lane B+A+C+D, E+F+C+D 0.65

E F A B C D


TRUCK LOAD

Step 1 Step 2 Step 3 Step 4 …….

……. Step41

LANE LOAD

0.64 k/ft

Step 1

0.64 k/ft

Step 2

0.64 k/ft

Step 3

0.64 k/ft

Step 4

0.64 k/ft

Step 10 ……. Step40

0.64 k/ft

Step 5

0.64 k/ft

Step 6

0.64 k/ft

Step 7

0.64 k/ft

Step 8

0.64 k/ft

Step 9

LOAD RATING OF TRUSS

• Tension/Compression Members

• Gusset Plates (Local and Global)

• Floor beams

• Stringers

Elements to be Rated:

Rating Equation:

LOAD RATING OF TENSION/COMPRESSION MEMBER

Tension Member Capacity

Yield on gross section

Fracture on net section Smaller of

Compression Members Capacity

Built-up I Sections:

Built-up Box Sections:

Flange local buckling

Web local buckling

Plate local buckling (include perforated plate)

Angle leg buckling

Global buckling considering modified slenderness ratio for built-up sections (AISC Section E6)

Load Rating of Compression Members

• The unbraced length, L, is determined as distance between centerline of connection of member end, as shown in the Figure below.

• K- factor for rotational and translational boundary condition. Use k=0.75 for bolted ends

LOAD RATING OF GUSSET PLATE (Local)

Resistance of Fasteners

Resistance of Gusset Plates

• Gusset Plates in Tension • Yield on the gross section • Fracture on the net section • Block shear rupture

• Gusset Plates in Compression

• Shear Resistance of Fasteners • Plate Bearing Resistance of Fasteners

30°

30° 30°

30°

LOAD RATING OF GUSSET PLATE (Local)

Tension on Whitmore Width

Block Shear

L1

L2

L3

Compression on unbraced length (Avg of L1,L2,L3)

Gross Section Shear Net Section Shear

B

A A

B

Max. Concurrent Forces

Max. Concurrent Forces

LOAD RATING OF GUSSET PLATE (Global)

SPECIAL CONSIDERATION ON GUSSET PLATE

• Add to the local capacity of gusset plate

Splice plate and lateral plate

Double gusset plate

• Add to both local and global capacity of gusset plate

• Consider only one shear plan for bolts

Chord member bearing on each other

• Force deducted by 50% according to design plan

A

A

B

B

C L

B - B A - A

Floor Beam Sections

LOAD RATING OF FLOOR BEAMS

LOAD RATING OF FLOOR BEAMS

Flexure Resistance (Section A-A and B-B):

• Compression Flange

• Tension Flange (A6.10.8.3)

• Local Buckling Resistance (A6.10.8.2.2)

• Lateral torsional Buckling Resistance (A6.10.8.2.3)

Smaller of

Shear Resistance:

• End Panel (A6.10.9.3.3)

• Interior Panel (A6.10.9.3.2)

• Cover plates are included in analysis

RATING SUMMARY FOR TRUSS MEMBERS

Loads Vehicles Rating Factor Controlling Case

Design

HL-93, Positive (Inv) 0.98 Strength I - Compression

HL-93, Positive (Opt) 1.27 Strength I - Compression

HL-93, Negative (Inv) 1.03 Strength I - Compression

HL-93, Negative (Opt) 1.34 Strength I - Compression

Legal

LA Type 3 2.02 Strength I - Compression

LA Type 3-S2 1.22 Strength I - Compression

AASHTO Type 3-3 1.66 Strength I - Compression



Lane Type Pos. 1.87 Strength I - Compression

Lane Type Neg. 1.53 Strength I - Compression

SHV NRL 1.17 Strength I - Compression

Permit

OFRD #1 0.86 Strength II - Compression



RATING SUMMARY FOR GUSSET PLATES


Design

HL-93, Positive (Inv) 0.87 Strength I - Global

HL-93, Positive (Opt) 1.13 Strength I - Global

HL-93, Negative (Inv) 0.71 Strength I - Global

HL-93, Negative (Opt) 0.92 Strength I - Global

Legal

LA Type 3 2.50 Strength I - Global

LA Type 3-S2 1.56 Strength I - Global

AASHTO Type 3-3 1.56 Strength I - Global



Lane Type Pos. 1.52 Strength I - Global

Lane Type Neg. 1.05 Strength I - Global

SHV NRL 1.23 Service II - Global

Permit

OFRD #1 0.86 Strength II - Global



RATING SUMMARY FOR FLOOR BEAMS


Design

HL-93, Positive (Inv) 1.08 Strength I - Flexural

HL-93, Positive (Opt) 1.40 Strength I - Flexural

HL-93, Negative (Inv) 1.26 Strength I - Flexural

HL-93, Negative (Opt) 1.63 Strength I - Flexural

Legal

LA Type 3 2.05 Strength I - Flexural

LA Type 3-S2 1.64 Strength I - Flexural

AASHTO Type 3-3 1.95 Strength I - Flexural



Lane Type Pos. 2.20 Strength I - Flexural

Lane Type Neg. 2.25 Strength I - Flexural

SHV NRL 1.32 Service II - Flexural

Permit

OFRD #1 0.99 Strength II - Flexural




Design HL-93, Positive (Inv) 0.84 Strength I - Flexural


Legal

LA Type 3 1.55 Service II - Flexural

LA Type 3-S2 1.24 Service II - Flexural





Permit




RATING SUMMARY FOR STRINGERS

APPROACH SPAN LOAD RATING

LOAD RATING OF APPROACH SPAN

• 5 unique steel girder spans

• 2 unique fracture critical spans

• Rated using Virtis and Excel

Superstructure

Bent Cap

• 5 unique models

• Rated using RC-Pier and Excel


Design HL-93, Positive (Inv) 0.80 Strength I - Flexural


Legal


LA Type 3-S2 1.01 Strength I - Flexural





Permit




RATING SUMMARY FOR APPROACH SPAN SUPERSTRUCTURE


Design HL-93, Positive (Inv) 1.04 Strength I - Shear

HL-93, Negative (Inv) 1.35 Strength I - Shear

Legal

LA Type 3 2.66 Strength I - Shear

LA Type 3-S2 1.52 Strength I - Shear

AASHTO Type 3-3 1.58 Strength I - Shear



SHV NRL 1.58 Strength I - Shear

Permit

OFRD #1 1.05 Strength II - Shear



RATING SUMMARY FOR APPROACH SPAN BENT CAP

Thank You

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