Difference between revisions of "751.23 Prestressed Concrete Double Tee Girders"

From Engineering_Policy_Guide
Jump to navigation Jump to search
 
m (Smithk moved page 751.23 P/S Concrete Double Tee to 751.23 Prestressed Concrete Double Tee Girders: Per BR, article renamed)
 
(7 intermediate revisions by 2 users not shown)
Line 19: Line 19:
 
|align="right"|<math>\, f'_c = 7.0 ksi</math>
 
|align="right"|<math>\, f'_c = 7.0 ksi</math>
 
|-
 
|-
|colspan="3"|Modulus of Elasticity, <math>\, E_c = 33000 K_1 w_c\sqrt[1.5]{f'_c}</math>
+
|colspan="2"|Modulus of Elasticity,
 +
|align="right"|<math>E_c = 33,000\ K_1 \ (w_c^{1.5}) \sqrt{f^'_c}</math>
 
|-
 
|-
|colspan="3"|For <math>\, f'_c\le 5 ksi, w_c = 0.145 kcf</math>
+
|&nbsp;
 +
|Where,
 +
|&nbsp;
 
|-
 
|-
|colspan="3"|For <math>\, f'_c>5 ksi, w_c = 0.140 + 0.001 f'_c</math>
+
|&nbsp;
 +
|f'<sub>c</sub> in ksi
 
|-
 
|-
|colspan="3"|<math>\, K_1</math> = correction factor for source of aggregate
+
|&nbsp;
 +
|colspan="2"|K<sub>1</sub> = correction factor for source of aggregate<br> <font color = "white">aa</font color="white"> = 1.0 unless determined by physical testing
 
|-
 
|-
 
|&nbsp;
 
|&nbsp;
|colspan="2"|=1.0 unless determined by physical testing
+
|colspan="2"|<math>w_c = 0.145 kcf\ \mbox{for}\ f'_c\le 5.0 ksi</math>
 +
|-
 +
|&nbsp;
 +
|colspan="2"|'''<math>w_c = 0.140 + 0.001 f'_c\ \mbox{for}\ f'_c>5.0 ksi </math>'''
 
|-
 
|-
 
|&nbsp;
 
|&nbsp;
Line 67: Line 75:
 
|&nbsp;
 
|&nbsp;
 
|Strand area,
 
|Strand area,
|align="right"|<math>\, A_{ps} = 0.153 in^2</math>
+
|align="right"|<math>\, A_{ps} = 0.217 in^2</math>
 +
|-
 +
| ||colspan="2"|Maximum allowed initial prestress force (immediately prior to transfer)<br/>
 +
= ''f<sub>pbt</sub>'' = 0.75''f<sub>pu</sub>'' kips&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; LRFD table 5.9.3-1
 +
|-
 +
| ||colspan="2"|Maximum allowed initial prestress force per strand <br/>
 +
= ''A<sub>ps</sub> x f<sub>pbt</sub>''  kips
 +
|-
 +
| ||colspan="2"|Maximum allowed initial force = '''30.98''' kips for '''0.5''' inch diameter strand<br/>
 +
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;    '''43.94''' kips for '''0.6''' inch diameter strand
 +
|-
 +
| ||colspan="2"|Total initial prestress force = (# of strands) x (required* initial prestress force per strand)
 +
|-
 +
| ||colspan="2"|* Typically the required prestress force per strand is the maximum allowed prestress force.
 +
|-
 +
| ||colspan="2" width="500"|Note: Report on the girder plans the required number of strands by design and the total initial prestress force using [[751.50 Standard Detailing Notes#H2c. Prestressed Girders and Beams|EPG 751.50 Standard Detailing Notes H2c1.3.]]
 
|-
 
|-
 
|colspan="3"|&nbsp;
 
|colspan="3"|&nbsp;
Line 82: Line 105:
 
=== 751.23.1.2 Girder and Slab Design ===
 
=== 751.23.1.2 Girder and Slab Design ===
  
The cast-in-place slab is designed to carry only the live
+
The cast-in-place slab is designed to carry only the live load of the bridge. One layer of steel is used in each direction of the cast-in-place slab with one-inch clearance from bottom of slab. A one-inch integral wearing surface is deducted from effective slab depth for design.  
load of the bridge. One layer of steel is used in each  
+
 
direction of the cast-in-place slab with 1" clearance from
+
The double tee girder flange is designed to carry the load of the cast-in-place slab, the flange weight and a construction dead load of 50 pounds per square foot (or a 300-pound concentrated construction load per OSHA).  
bottom of slab. A 1" integral wearing surface is deducted  
 
from effective slab depth for design.
 
 
The double tee girder flange is designed to carry the load  
 
of the cast-in-place slab, the flange weight and a 50 lb./sq.
 
ft. construction dead load(or a 300 lb. concentrated  
 
construction load per OSHA).  
 
 
   
 
   
When determining the section properties of the double tee  
+
When determining the section properties of the double tee girder the center of gravity is based upon the total area (excluding corner fillets) of the entire exterior or interior girder and not on the individual stems.  Moment of inertia and dead loads to each stem are figured to the center of the flange between the stems.  The non-composite dead load of the external double tee girder is divided according to the following sketch.
girder the center of gravity is based upon the total area  
 
(excluding corner fillets) of the entire exterior or interior  
 
girder and not on the individual stems.  Moment of inertia
 
and dead loads to each stem are figured to the center of the
 
flange between the stems.  The non-composite dead load of  
 
the external double tee girder is divided according to the  
 
following sketch.
 
  
  
Line 106: Line 115:
  
  
The non-composite dead load of the interior double tee girder
+
The cast-in-place slab is designed to carry only the live load of the bridge. One layer of steel is used in each direction of the cast-in-place slab with one-inch clearance from bottom of slab. A one-inch integral wearing surface is deducted from effective slab depth for design.  
is divided evenly to each stem. A 9 lb./lin ft. dead load is
+
 
added to the non-composite dead load of each stem for
+
The double tee girder flange is designed to carry the load of the cast-in-place slab, the flange weight and a construction dead load of 50 pounds per square foot (or a 300-pound concentrated construction load per OSHA).  
haunching. The non-composite dead load of C.I.P. slab, girder
 
and haunch are based on simple spans from Ë to Ë Bearings.
 
 
The composite dead load of the safety barrier is divided 75%
 
to the exterior stem of the exterior girder and 25% to the
 
interior stem of the exterior girder.  No dead load due to
 
the barrier curb is added to the interior girder.  The
 
composite dead load for future wearing surface is 35 lb./sq.
 
ft. or 3" of material. The composite dead load of safety
 
barrier curb, and future wearing surface are based on
 
continuous, composite spans from Ë to Ë Bearings.
 
  
The live load design is based on HL93.  The live load  
+
The live load design is based on HL93.  The live load distribution factors are figured separate for exterior and interior Double Tee Girders. The assumption, that if the bridge is widened in the future the exterior girder then becomes an interior girder should be investigated.
distribution factors are figured separate for exterior and  
 
interior Double Tee Girders. The assumption, that if the  
 
bridge is widened in the future the exterior girder then  
 
becomes an interior girder should be investigated.
 
 
   
 
   
 
Composite sections are adjusted for the difference in  
 
Composite sections are adjusted for the difference in  
Line 230: Line 224:
  
  
[[Category:751 LRFD Manual General]]
+
[[Category:751 LRFD Bridge Design Guidelines]]

Latest revision as of 09:59, 2 April 2021

751.23.1 General

751.23.1.1 Material Properties

Concrete
Standard compressive strength for P/S Double Tee Girder shall be:
 
Optional concrete strength shall be:
 
Modulus of Elasticity,
  Where,  
  f'c in ksi
  K1 = correction factor for source of aggregate
aa = 1.0 unless determined by physical testing
 
 
 
Prestressing strand
Type of strand:
AASHTO M203 (ASTM A416) Grade 270
Uncoated, seven-wire, low-relaxation strand
Ultimate tensile strength,
Yield strength,
Strand modulus of elasticity,
For standard concrete:
  Strand diameter,
  Strand area,
For optional concrete:
  Strand diameter,
  Strand area,
Maximum allowed initial prestress force (immediately prior to transfer)

= fpbt = 0.75fpu kips      LRFD table 5.9.3-1

Maximum allowed initial prestress force per strand

= Aps x fpbt kips

Maximum allowed initial force = 30.98 kips for 0.5 inch diameter strand

                                                   43.94 kips for 0.6 inch diameter strand

Total initial prestress force = (# of strands) x (required* initial prestress force per strand)
* Typically the required prestress force per strand is the maximum allowed prestress force.
Note: Report on the girder plans the required number of strands by design and the total initial prestress force using EPG 751.50 Standard Detailing Notes H2c1.3.
 
Mild reinforcing steel
Minimum yield strength,
Steel modulus of elasticity,

751.23.1.2 Girder and Slab Design

The cast-in-place slab is designed to carry only the live load of the bridge. One layer of steel is used in each direction of the cast-in-place slab with one-inch clearance from bottom of slab. A one-inch integral wearing surface is deducted from effective slab depth for design.

The double tee girder flange is designed to carry the load of the cast-in-place slab, the flange weight and a construction dead load of 50 pounds per square foot (or a 300-pound concentrated construction load per OSHA).

When determining the section properties of the double tee girder the center of gravity is based upon the total area (excluding corner fillets) of the entire exterior or interior girder and not on the individual stems. Moment of inertia and dead loads to each stem are figured to the center of the flange between the stems. The non-composite dead load of the external double tee girder is divided according to the following sketch.


751.23 section thru double tee.gif


The cast-in-place slab is designed to carry only the live load of the bridge. One layer of steel is used in each direction of the cast-in-place slab with one-inch clearance from bottom of slab. A one-inch integral wearing surface is deducted from effective slab depth for design.

The double tee girder flange is designed to carry the load of the cast-in-place slab, the flange weight and a construction dead load of 50 pounds per square foot (or a 300-pound concentrated construction load per OSHA).

The live load design is based on HL93. The live load distribution factors are figured separate for exterior and interior Double Tee Girders. The assumption, that if the bridge is widened in the future the exterior girder then becomes an interior girder should be investigated.

Composite sections are adjusted for the difference in modulus of elasticity of slab and girder by multiplying by the factor (Eslab/Egirder). A 1" integral wearing surface is deducted for effective slab design.

Negative moment reinforcement is based on the amount required for the entire roadway width and not the amount required for each stem. The continuous span lengths are based on the distance from the Ë Bearing at End Bents to the Ë Interior Bent. The area of reinforcing bars is provided by adding bars between the normal longitudinal bars.

Continuity is obtained at intermediate supports by extending and bending all strands to form interlocking right angle hooks and pouring a concrete diaphragm monolithic with deck slab encasing the prestressed girders with the flange cut back at diaphragm.

Camber is based on simple spans. A transformed moment of inertia is figured for the total exterior or interior double tee girder since the total girder is cambered at the same rate.

Maximum horizontal curvature for Double-Tee structures is 3^. Outside flange edge of exterior girders on curved bridges is to be curved.

751.23.2 Details

751.23.2.1 Girder Dimensions

751.23 part plan of ps conc dbl tee girder.gif
Part Plan of P/S Conc. Dbl. Tee Girder


751.23 section thru ps conc dble tee girder.gif
Section Thru P/S Conc. Dbl. Tee Girder


751.23 section thru ps conc dble tee girder detail a.gif
Detail "A"

751.23.2.2 Vent Holes

Note: Use vent holes only on all stream crossing structures.


751.23 double tee vent hole details.gif
Part Elevation of Girder Stem  
Part Section Near Vent Hole

751.23.2.3 Diaphragm Reinforcement

751.23 double tee diaphragm reinf. for end bent int bent.gif
End Bent   Int. Bent


751.23 double tee diaphragm reinf. for skew thru 30 deg skew over 30 deg.gif
Skew Thru 30 ø   Skew Over 30 ø


751.23 double tee diaphragm reinf. for skew thru 30 deg skew over 30 deg notes.gif

751.23.2.4 Detail of Optional Construction Joint

751.23 double tee optional constr joint.gif


Optional Const. Joint


751.23 double tee optional constr joint sec aa.gif


Section A-A

Place Const. Joint 6" from negative reinforcement in slab.

Note: Const. Joint placement will be determined by direction of slab pour.

751.23.2.5 Details for Curved Structures

751.23 double tee curved structure detail.gif