This page provides guidance and recommendations on Load and Resistance Factor
Design (LRFD) of specific bridge superstructure components.
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General Recommendations |
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Design LoadingDesign all bridge components for 2 in. of future asphaltic
concrete overlay at 0.140 kips per cu. ft.
Terminology and Notation
LRFD refers to Load and Resistance Factor Design, a design
methodology that makes use of load factors and resistance factors
based on the known variability of applied loads and material
properties. Bracketed <references> reference relevant sections of
the AASHTO LRFD Bridge Design Specifications.
Limit States
TxDOT recommends the following limit states for design of bridge
system components <Article 3.4.1>:
| Component |
Limit State |
| Prestressed concrete
beams |
Strength I and IV
and Service I and III. Fatigue and extreme limit states need not be
checked. Live load deflection need not be checked. |
Load Factors
TxDOT recommends the following permanent loads <Article 3.5>: The
engineer may reduce the maximum load factor for wearing surfaces and
utilities <DW in Table 3.4.1-2> to 1.25.
Prestressed Concrete Design
Recent incidents of further Alkali Silica Reactions (ASR)
have caused us to revisit mix designs and the attainable
concrete strengths used in the fabrication of prestressed
concrete products. A soon-to-be-released special provision
to Item 420 will require greatly increased amounts of
fly-ash used in beam production. It is anticipated that this
will also result in slower strength gains which could have a
negative impact on fabricator production and ultimately on
girder costs. Therefore, now more than ever, it is important
to observe our recommended practice in the design of
prestressed concrete beams.
Therefore, we are encouraging designers to keep release
concrete strengths, f'ci, at or below 6.0 ksi whenever
possible and to observe a maximum limit of 6.50 ksi. Design
concrete strength, f'c, should be limited to a maximum of
8.50 ksi.
Note: The need to occasionally exceed these limits
is left to the designer to determine. All reasonable
efforts, including providing additional beams in a given
cross-section, however, should be considered in keeping
concrete strengths below these recommended limits.
The following links are provided for additional reading
on ASR:
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Deck Surface Texture
Requirements |
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The proper surface texture of a roadway will prevent
vehicles from hydroplaning during wet weather. The surface
texture of roadways typically consists of microtexture and
macrotexture. Microtexture in concrete pavement is provided
by the fine aggregates. Macrotexture is provided through
broom finishing, burlap dragging, carpet dragging or saw cut
grooving. The broom finish, burlap dragging, and carpet
dragging all provide a texture that creates friction with
the vehicles wheels. Saw cut grooving of the deck further
improves upon roadway safety by improving water flow off the
structure.Concrete Structures
Item 420, “Concrete Structures”, requires a broom, carpet
drag, or burlap drag finish on all bridge slabs during deck
placement followed by saw cut grooving of the bridge deck
once the deck has hardened. Current research indicates that
saw cut grooving of bridge decks is not always necessary and
is typically noisier than other methods of surface
texturing. The method of macrotexture recommended is
dependent on the posted speed limit and the roadway
geometry.
PCC Pavements and Bridge Decks
TxDOT requirements for the surface texture for PCC
pavements and bridge decks was modified in 2004 by Amadeo
Saenz Jr., P.E. in his memorandum “Texture Requirements for
Pavement Structures with Design Speeds of 45 Miles per Hour
or Less”. Saenz recommended the following:
For roadways and structures with a posted speed limit less
than or equal to 45 miles per hour, the concrete surface may
be finished with a broom or carpet drag. Structures with a
posted speed limit greater than 45 miles per hour require a
saw cut grooving finish.
Additionally, the FHWA has published a Technical Advisory
that suggests that for roadway geometries consisting of a
radius of curvature less than 1640 feet saw cut grooving
should be required.
Overall, removing the saw cut grooving requirement for
roadways with lower posted speed limits and greater radii
will result in a cost savings and noise reduction.
Bridge Plans
Therefore, designers should include the appropriate notes
below in the General Notes and on all bridge layouts:
- Bridges with design speeds less than or equal to 45
miles per hour and a radius of curvature greater than
1640 feet:
- Saw-cut grooving of the bridge deck and
approach slab (if present) is not required.
Special Provision 420---002 requires the contractor to
provide a broom, burlap, or carpet drag finish on the bridge
deck; therefore, a more specific note regarding surface
texture is not required.
- Bridges with design speeds greater than 45 miles per
hour or a radius of curvature less than 1640 feet:
- Saw-cut grooving of the bridge deck and
approach slab (if present) is required.
- The following note should also be placed on the span
sheets and estimated quantities sheet:
- See layout for surface texture requirements.
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Corrosion Protection
Measures |
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Concrete Deck Slabs on
Stringers |
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MaterialsSee Corrosion Protection Measures above for
special considerations where deicing agents are used.
Geometric Constraints
Deck slabs less than 8 in. thick are not recommended
with TxDOT's standard prestressed concrete panels because they are not as
durable or as constructible and they do not provide enough practical room above
a 4-in. panel.
Structural Analysis
- Standard deck slab designs account for effects of a 2.5-in. asphaltic
overlay (DW). Weight of asphaltic overlay is based on a unit weight of 0.140
kcf <Table 3.5.1-1>.
- Live load is HL93 plus dynamic load allowance, IM.
- Account for extra concrete in permanent metal deck form flutes for custom
deck slab designs for which prestressed concrete panels cannot be used.
Design Criteria
- Space deck slab main reinforcing steel (transverse reinforcement) no less
than 6 in. to take advantage of reduced lap length requirements, as
described in <Article 5.11.2.1.3
- Make overhangs the same thickness as the slab unless other factors
override this preference. For example, use of HT railing requires a 10-in.
overhang thickness.
- See <Appendix A4: Table A4-1> for LL+IM moments for traditionally designed
deck slabs. TxDOT standard deck slab designs use this method.
- Take negative moment at 1/3 the flange width from beam centerline for
concrete I beams, and 1/4 the flange width from beam centerline for steel
girders <Article 4.6.2.1.6>.
- Effective slab width at transverse slab edges is approximately half the
normal effective slab width <Article 4.6.2.1.4c>. Standard thickened slab
ends are theoretically overstressed, but they have been experimentally
proven to have more than adequate strength.
- Standard deck slab designs are based on Class 2 exposure conditions. <Article 5.7.3.4>.
Software
No software is needed for the majority of deck slabs. For special cases, use
RISA 3D, any suitable finite element program, or SLAB49.
Detailing
- To account for reduced wheel load distribution at transverse slab edges,
strengthen the slab by increasing its depth, as shown on the
Thickened Slab End Details standard drawing.
- The standard deck slab corner break dimension is 2 ft. 0 in when skew is
more than 15 degrees. The corner break point must occur at least 1 in. and
preferably 3 in. from the toe of any concrete parapet into which an
expansion joint is upturned.
- With simple-span construction, minimize expansion joints by creating
multi-span units with the slab continuous over interior bents. At bents
without expansion joints, locate a control joint or construction joint in
the deck.
- Distribution reinforcing steel in standard deck slabs, Bars D (bottom
longitudinal reinforcement), is based on <Article 9.7.3.2>.
- Additional longitudinal reinforcing steel is required for continuous steel
girders <Article 6.10.3.7>. Adding one #5 bar in the top slab between each
usual longitudinal bar meets this requirement.
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Concrete Deck Slabs on U
Beams (U40 and U54) |
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Materials - See Corrosion Protection Measures above for special
considerations where deicing agents are used.Structural Analysis - Consider using a normal overhang when conditions make the
sloped overhang unsightly or difficult and expensive to construct. For the
sloped overhang, the slope of the bottom face of the overhang may vary
significantly when used with curved slab edges primarily because of the overhang
distance varying along the length of the exterior U beam.
On a straight bridge
slab edge, however, the slope of the bottom face of the overhang varies only
because of the vertical curvature of the roadway surface and the camber and dead
load deflection of the exterior U beam, thereby creating a more pleasing
appearance.
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Prestressed Concrete I
Beams and I Girders |
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MaterialsFor recommended concrete strengths, see "Prestressed Concrete
Design" information under the "General Recommendations" section above.
Structural Analysis
- You need not increase section properties of the beam to account for the
transformed area of strands or mild steel.
- For the calculation of live load distribution factors, modular ratio, n,
may conservatively be taken as 1.0.
Design Criteria - For grade separation structures, use the same beam
depth for the full length of structure for economies of scale and aesthetic
reasons. Stream crossing structures may have different types and sizes of beams
for purposes of economy. Optimize beam spacing in each span. Maintaining a
constant beam spacing for the full length of structure is not necessary.
Selection of the proper type beam for a span is a matter of economics; calculate
relative costs using current average bid prices for beams and slab.
Software
Use
PSTRS14 for beam design. Use
this spreadsheet to calculate live load distribution factors.
Detailing
On the plans for each design, show optional design parameters for maximum top
flange stress, bottom flange stress, and ultimate moment due to all design
loads. The fabricator will retain the option to use other strand arrangements,
including straight strand patterns, stress relieved strand, or 0.6-in. diameter
strand, if design parameters are satisfied by the prestress and concrete
strength selected.
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Prestressed Concrete U
Beams (Types U40 and U54) |
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MaterialsFor recommended concrete strengths, see "Prestressed
Concrete Design" information under the "General Recommendations" section above.
Geometric Constraints
- U beams are not vertical but are rotated to accommodate the average cross
slope of a given span. As a result, the depth of slab haunch at the left and
right top edges of the beam may differ. Pay special attention to these beams
in calculating the haunch values.
- The preferred method for framing U-beam centerlines is at the top of the
beam. This prevents spacing at the top of the beam from varying due to the
cross slope of the beam and, thus, simplifies slab formwork dimensions for
construction. Note beam spacings shown on the span details as being at the
top of the beam, and in beam spacings shown on the substructure details,
take into account the horizontal offset between the centerlines at the top
and bottom of the beam.
- The alternate method for framing U-beam centerlines is at the bottom of
the beam. This method allows the U beams to be framed as vertical members
whereby the beam spacings dimensioned on the span details and beam layouts
match the beam spacings shown on the substructure details. However, if this
method is used, call attention to the variable beam spacing at the top of
the beam in the plans. A construction note is recommended on the span
details stating, "Beam spacing shown is measured at bottom of beam. Beam
spacing at top of beam may vary due to cross slope of U beams."
- TxDOT's Bridge Division currently uses the Bridge Geometry System (BGS)
software program to frame U beams. The latest version of BGS frames U beams
using the alternate method. The BGS manual includes information on three
framing options written specifically for U beams: Options 20, 21, and 22.
These framing options help the designer calculate accurate slab haunch
values, bearing seat elevations, and bearing pad taper reports for U beams
under the alternate method.
- Use the same minimum haunch value for all U beams in a given span if
reasonable to do so.
- Left and right bearing seat elevations are located at the intersection of
the edges of bearing seats with centerline bearings. When calculating these
elevations for each beam seat, be careful to apply the appropriate deduction
at that elevation point - that is, the minimum deduction at the correct
elevation point and the maximum deduction at the other elevation point.
Typically, the minimum deduction and maximum deduction are each applied at
diagonally opposite corners of a beam in plan view. See
Prestressed Concrete U Beam Design Guide for information on calculating
U-beam slab haunches. The information is tailored for use with BGS, but the
principles behind the method remain the same.
- Provide at least 2 in. from the end of the cap or corbel to the edge of
the bearing seat.
Design Criteria
Software
Use
PSTRS14 for beam design. Use this
spreadsheet to calculate live load distribution factors.
Detailing
- A full-depth cast-in-place deck with permanent metal deck forms may be
provided at the contractor's option. This optional form is shown on the
Permanent Metal Deck Form
standard drawing.
- Use thickened slab ends at all expansion joints with non-inverted tee
bents. See the Miscellaneous Slab Details
standard drawing for details of thickened slab ends.
- Do not show a detailed bill of reinforcing steel on production drawings.
Instead, show a table of bar designations with sizes used in the slab as is
currently done with I-beam structures. In addition, show a table of
estimated quantities with the total reinforcing steel based on 3.7 lbs. per
sq. ft. of bridge deck. This quantity includes the extra slab steel required
over inverted-tee bents and in thickened slab ends.
- If inverted-tee caps are used and are sloped to match the sloping face of
the U beam, use a 4:1 slope normal to the centerline of the bent.
- The actual cross slope of the U beams framing into the bent potentially
complicates construction of the bent cap and need not be considered. Try to
extend the ends of the inverted-tee bents about 6 in. past the bottom edge
of the exterior U beam. This extension allows for a more defined break
between cap and beams, and the contractor is unlikely to set the beams
perfectly in line with the end of the cap. The Miscellaneous Slab Details
for Inverted-Tee Bents
standard drawings
show overhang details using this configuration over the inverted-tee bent
caps.
- Use slab dowels to provide lateral restraint when constructing U beams
with inverted-tee bents. These dowels are located at the top of the
inverted-tee stem and are in a slotted pipe to allow for expansion and
contraction of the unit. Typically, only one dowel is placed at the
centerline of every beam 1 ft. from the centerline of the bent. Slab dowels
need to be placed on only one side of the centerline of the bent. The
criteria for locating slab dowels within units are similar to the method
used for locating dowels within concrete I-beam units.
- A left and right bearing seat elevation is given for each U-beam bearing
seat location. Bearing seats for U beams are level perpendicular to the
centerline of the bent but slop uniformly between the left and right bearing
seat elevations. This allows the bearing pads to taper in one direction.
- Include a Bearing Pad Taper Report sheet in the plans summarizing bearing
pad tapers to be used by the fabricator. See
Prestressed Concrete U-Beam Design Guide for information on the
calculation of bearing pad tapers for U beams.
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Prestressed Slab Beams |
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MaterialsFor recommended concrete strengths, see "Prestressed
Concrete Design" information under the "General
Recommendations" section above.
Geometric Constraints
- Limit skew to 30 degrees. Larger skews may result in beam twist and uneven
bearing on the pads.
- The requirement to bevel the bearing pads to match the beam slope on the
Elastomeric Bearing Details sheet will not result in parallel pad and
beam surfaces for skewed bridges. The actual calculations and fabrication of
pads for each particular skewed case is complex. Given the small area of the
pads, experience with box beams and the nearly parallel surfaces, the pads
should be able to deform sufficiently to accommodate the mismatches.
- When both a vertical curve and skew exist, a complex planar relationship
develops between the skewed bottom of the slab beam, bearing pad, and bent
or abutment cap: a stepped bearing seat arrangement on the caps is required.
- Except for the T411 and C411 railings, no adjustment is needed to
individual reinforcing bars embedded into the slab beam to account for the
effects of vertical curve. The vertical curve requires the slab to be
thicker either at the ends of the beam or at midspan. Theoretically, each
embedded bar should protrude from the beam a different amount. However, in
the most extreme case (VC length = 600 ft., tangent slopes = -5%, 5%, and
span length = 50 ft.), the maximum variation of the profile grade line from
a straight line drawn between top of slab at adjacent bents is only 5/8 in.
This is not significant enough to warrant complicating the detailing,
fabrication, and installation of the railing reinforcing.
Design Criteria
Software
Use
PSTRS14 for beam design. Use this
spreadsheet to calculate live load distribution factors.
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Prestressed Concrete
Double-Tee Beams |
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MaterialsFor recommended concrete strengths, see "Prestressed
Concrete Design" information under the "General Recommendations" section above.
Design Criteria
Software
Use
PSTRS14 for beam design. Use this
spreadsheet to calculate live load distribution factors.
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Prestressed Concrete Box
Beams (B20, B28, B34, and B40) |
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Materials
For recommended concrete strengths, see "Prestressed
Concrete Design" information under the "General
Recommendations" section above.
Geometric
Constraints
- A three-pad system is currently used with box beams. Typically, the
forward station end of the beam sits on a single elastomeric bearing pad
while the back station end sits on two smaller pads.
- Box beams are fabricated using a two-stage monolithic casting. The bottom
slab is cast in the first stage, and the sides and top are cast in the
second stage while the slab concrete is still plastic. In addition,
cardboard void forms are no longer permitted. All interior voids must be
formed with polystyrene. Void drain holes are installed at the corners of
the bottom slab during fabrication.
Design Criteria:
- Standard drawings do not support spread box beam configurations.
- Use a cast-in-place reinforced concrete slab rather than an ACP overlay on
box beam bridges. The slab should have a 5-in. minimum thickness, typically
at the center of the span (or at center of bearing in situations such as sag
vertical curves).
- Avoid slab overhangs. Choose box beams and gap sizes so that the edge of
the slab corresponds to the edge of the top flange of the exterior beams.
- Box beams are not appropriate for use on curved structures and should be
avoided on flared structures. The complexity of the geometry required to
frame the bridge increases dramatically as the degree of curvature exceeds 1
or 2 degrees.
- Use 5-ft. boxes as exterior beams when the roadway width requires a
combination of both 4-ft. and 5-ft. boxes.
- Do not use dowels for lateral restraint. Provide lateral restraint by
12-in.wide by 7-in. tall ear walls located at the ends of each abutment and
interior bent cap. Provide a 1/2-in. gap between the the ear wall and the
outside edge of the exterior beam.
- Provide longitudinal restraint at interior bents only when a continuous
unit exceeds four spans in length, or when the beam grade exceeds 6%.
Provide longitudinal restraint at interior bents only.
- Use beam hold-downs at water crossings when the superstructure could be
subjected to pressure flow. The hold-downs are typically placed at the
center of the joint between the exterior beam and the first interior beam on
both sides of the structure. The hold-downs may be moved to the second
interior joint for heavily skewed bridges (approximately 25 to 30 degrees).
A minimum gap of 1.5 in. is required at a joint where a hold-down is
located.
- Bearing seats are not used with box beams. The pads sit directly on top of
the cap. Provide top-of-cap elevations at the points coinciding with the
outer edge of the exterior boxes at the centerline of bearing. Also provide
elevations at any intermediate points along the cap, at the centerline of
bearing, where either a change in cap slope or change in cap elevation
occurs.
- Box beams are not vertical but either parallel the roadway surface when
the cross slope is constant or are rotated to the average cross slope of a
span in a transition area. Because there are no bearing seat build-ups, the
top of the cap must be sloped to match the rotation of the beams.
- Provide a minimum of three elevation points for unskewed spans with an
even number of box beams and a constant housetop profile: one at the outside
edge of each of the exterior beams and a third point at the center of the
middle joint. Provide four elevation points for spans with an odd number of
beams: one at the outside edge of each exterior beam and one at the center
of each joint on either side of the middle beam.
- Framing is complicated in cross-slope transition areas and skewed bridges.
Orient the beams to minimize the variation in slab thickness both
longitudinally and transversely along the span. This may require stepping
the cap at some joints so that adjacent beams not only have a different
slope but also sit at a different elevation. Elevation points may be
required as often as every joint in some situations. The forward half of an
interior bent cap may have a different elevation than the back half at some
locations.
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Recommended Span Lengths
Software
Use
PSTRS14 for beam design. Use this
spreadsheet to calculate live load distribution factors.
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Design Resources |
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For additional information on LRFD bridge design as
implemented by TxDOT, consult the following resources:
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Design Examples and
Spreadsheets |
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