Version 3 (07-26-05) -
Version 4 (10-27-05) -
Version 5 (10-01-07) -
Version 6 (12-19-07) -
Version 7 (04-05-11) -
9-23-2011 -
12-19-2014 -
12-19-2014 -
This worksheet is a tool to aid in the design of field splices for steel girders
Special Unit Definitions:
Version 6 - Advised user to check the girder flanges for 6.10.1.8.
Top Flange Width:
Top Flange Thickness:
Top Flange Net Width (Considering Bolt Holes):
Web Depth:
Web Thickness:
Bottom Flange Width:
Bottom Flange Thickness:
Bottom Flange Net Width (Considering Bolt Holes):
Yield Strength:
Tensile Strength:
Moment of Inertia:
Distance From Bottom Flange to Neutral Axis:
Moment of Inertia:
Distance From Bottom Flange to Neutral Axis:
Moment of Inertia:
Distance From Bottom Flange to Neutral Axis:
Shear Strength (V
Dead Load of Components Applied to Non-Composite Section:
Dead Load of Components Applied to Long Term Section:
Dead Load Wearing Surface and Utilities:
Positive Live Load Plus Impact:
Negative Live Load Plus Impact:
Positive Fatigue:
Negative Fatigue:
Dead Load of Components Applied to Non-Composite Section:
Dead Load of Components Applied to Long Term Section:
Dead Load Wearing Surface and Utilities:
Positive Live Load Plus Impact:
Negative Live Load Plus Impact:
Positive Fatigue:
Negative Fatigue:
Yield Strength:
Tensile Strength:
Hole Diameter:
Outside Splice Width:
Outside Splice Net Width (Considering Bolt Holes):
Inside Splice Width (Each):
Inside Splice Net Width (Considering Bolt Holes):
Number of Bolts Per Row:
Row Spacing:
Distance Between CL Hole and End of Splice Plate:
Fill Plate Thickness:
Web Splice Plate Depth:
Web Splice Thickness:
Vertical Bolt Spacing:
Number Of Rows Of Bolts:
Horizontal Bolt Spacing:
Number of Vertical Columns on Each Side of C.L. Splice:
Dist. From C.L. Splice to First Line of Bolts:
Gap Between Spliced Girders:
Distance Between CL Hole and End of Splice Plate:
Outside Splice Width:
Outside Splice Net Width (Considering Bolt Holes):
Inside Splice Width (Each):
Inside Splice Net Width (Considering Bolt Holes):
Number of Bolts Per Row:
Row Spacing:
Distance Between CL Hole and End of Splice Plate:
Fill Plate Thickness:
Bolt Diameter:
Tensile Strength:
Surface Condition Factor (For Slip Resistance) (Table 6.13.2.8-3):
Threads Excluded From Shear Plane ("Y" or "N"):
Minimum Required Bolt Tension (Table 6.13.2.8-1):
Top Flange Splice:
Bottom Flange Splice:
Flexure:
Shear:
Axial Compression:
Tension, Fracture In Net Section:
Tension, Yielding In Gross Section:
Bolts Bearing On Material:
A325 and A490 Bolts In Shear:
Block Shear:
Shear, rupture in connection element:
Annual Daily Truck Traffic
Fatigue Threshold (Cat. B)
Detail Category Constant (Cat. B)
Cycles per Truck Passage
Load Modifier Relating to Ductility, Redundancy,
and Operational Importance:
Top Flange - Positive Live Load Case
Top Flange - Negative Live Load Case
Bottom Flange - Positive Live Load Case
Bottom Flange - Negative Live Load Case
Fatigue I Limit State - 1.5(LL+I)
Fatigue II Limit State - 0.75(LL+I)
(6.13.6.1.4c-1)
(6.13.6.1.4c-1)
Determine sign of stress, which is dependent on whether the controlling flange is the top or bottom flange.
(6.13.6.1.4c-1)
(6.13.6.1.4c-1)
Determine sign of stress, which is dependent on whether the controlling flange is the top or bottom flange.
(6.13.6.1.4c-3)
(6.13.6.1.4c-3)
Determine sign of stress, which is dependent on whether the controlling flange is the top or bottom flange.
(6.13.6.1.4c-3)
(6.13.6.1.4c-3)
Determine sign of stress, which is dependent on whether the controlling flange is the top or bottom flange.
First determine the stresses in each flange for the four cases above, so that the sign of the stress is known.
Positive Moment
Negative Moment
Determine Ag and Ae for Flanges
Determine Forces in Each Flange (Tension and Compression)
Positive Moment
Negative Moment
Assume the inside and outside splice plates are designed for one-half the flange design force.
Top Outside Splice Thickness
Top Inside Splice Thickness
Bottom Outside Splice Thickness
Bottom Inside Splice Thickness
Assume the inside and outside splice plates are designed for one-half the flange design force.
Fracture can only occur due to tension forces, therefore, only the tension force cases are investigated.
Top Outside Splice Thickness
Top Inside Splice Thickness
Bottom Outside Splice Thickness
Top Inside Splice Thickness
Use maximum thickness (rounded to nearest 1/16") determined above for each plate to meet both yield and fracture requirements.
Top Splice Plates
Compare gross areas of outside and inside splice plate and make sure they are not different by more than 10%.
Bottom Splice Plates
Compare gross areas of outside and inside splice plate and make sure they are not different by more than 10%.
Factored Shear Resistance Per Bolt (6.13.2.7)
R
(6.13.2.7-1)
(6.13.2.7-2)
Factored Slip Resistance Per Bolt (6.13.2.8)
R
(6.13.2.2-1)
(6.13.2.8-1)
Determine Area of the Fill Plate
Determine Area of the Flange Plate
Determine Area of Top Flange Splice Plates
Determine Ap (Smaller of the Connected Flange Plate Area or the Sum of the Splice Plate Areas) and
Determine Reduction Factor if Fill Plate is Greater than or equal to 0.25"
(6.13.6.1.5-1)
Version 5 - "R
Number of Bolts on Each Side of Splice for Strength
Number of Bolts on Each Side of Splice to Satisfy Slip
Controlling Number of Bolts on Each Side of Splice
Determine Area of the Fill Plate
Determine Area of the Flange Plate
Determine Area of Top Flange Splice Plates
Determine Ap (Smaller of the Connected Flange Plate Area or the Sum of the Splice Plate Areas) and
Determine Reduction Factor if Fill Plate is Greater than 0.25"
(6.13.6.1.5-1)
Number of Bolts on Each Side of Splice for Strength
Version 5 - "R
Number of Bolts on Each Side of Splice to Satisfy Slip
Controlling Number of Bolts on Each Side of Splice
Note:
Determine Which Element Controls For Top Flange and Determine Bearing Resistance
Bearing Resistance (Per Bolt) At End Of Connection
Bearing Resistance(Per Bolt) For Interior Bolts
Total Bearing Resistance of Top Connection
Required Bearing Resistance
Determine Which Element Controls For Bottom Flange and Determine Bearing Resistance
Bearing Resistance (Per Bolt) At End Of Connection
Bearing Resistance(Per Bolt) For Interior Bolts
Total Bearing Resistance of Bottom Connection
Required Bearing Resistance
6.5 Determine Fatigue Resistance (6.6.1.2.5):
Splice connection for flanges and web are designed for Section 2 - Connected Material in Mechanically Fastened Joints in AASHTO LRFD Table 6.6.1.2.3-1 - Detail Categories for Load - Induced fatigue.
Nominal fatigue resistance shall be taken as:
For Fatigue I load combination and infinite life:
For Fatigue II load combination and finite life:
Section 6.6.1.2.1 states that in regions where the unfactored permanent loads (f
If f
Determine Which Element Controls For Top Flange and Determine Fatigue Resistance
Determine Dead Load Stress In Controlling Element
Determine Positive Live Load Plus Impact Stress in Controlling Element
Determine Negative Live Load Plus Impact Stress in Controlling Element
Fatigue I Limit State Stress Range
Fatigue II Limit State Stress range
Check Fatigue Stress if Appropriate
(Nominal Fatigue Resistance)
(Nominal Fatigue Resistance)
Determine Which Element Controls For Bottom Flange and Determine Fatigue Resistance
Determine Dead Load Stress In Controlling Element
Determine Positive Live Load Plus Impact Stress in Controlling Element
Determine Negative Live Load Plus Impact Stress in Controlling Element
Fatigue I Limit State Stress Range
Fatigue II Limit State Stress Range
Check Fatigue Stress if Appropriate
(Nominal Fatigue Resistance)
(Nominal Fatigue Resistance)
A check of the flexural stresses in the splice plates at the Service II Limit State is performed below.
Determine Flexural Stresses in Flange Splice Plates
Determine Maximum Stress in Flange Splice Plates and Maximum Allowed
Positive Live Load
Negative Live Load
Positive Live Load
Negative Live Load
Fatigue I Limit State - 1.5(LL+I)
Fatigue II Limit State - 0.75(LL+I)
Version 2 - "Rh" revised to "Rcf"
(C6.13.6.1.4b-1)
(C6.13.6.1.4b-2)
(C6.13.6.1.4b-1)
Version 2 - "Rh" revised to "Rcf"
(C6.13.6.1.4b-2)
Determine Controlling Flange And The Corresponding Stress In The Flanges
Determine Moment and Horizontal Force (Set R
Determine Controlling Flange And The Corresponding Stress In The Flanges
Determine Moment and Horizontal Force
Calculate Fatigue Stress at Top and Bottom of Web
Fatigue I Limits state:
Fatigue II Limit state:
Determine Moment and Horizontal Force
Calculate Fatigue Stress at Top and Bottom of Web
Determine Moment and Horizontal Force
Positive Live Load
Vertical shear force in bolts due to the applied shear force
Horizontal shear force in bolts due to the applied horizontal force
Determine the horizontal and vertical components of the bolt shear force on the extreme bolt due to the total moment in the web
Resultant bolt force on the extreme bolt
Negative Live Load
Vertical shear force in bolts due to the applied shear force
Horizontal shear force in bolts due to the applied horizontal force
Determine the horizontal and vertical components of the bolt shear force on the extreme bolt due to the total moment in the web
Resultant bolt force on the extreme bolt
Governing Resultant Bolt Force
Version 2 - Added equations for determining shear resistance of web bolts.
Factored Shear Resistance Per Bolt (6.13.2.7)
R
(6.13.2.7-1)
(6.13.2.7-2)
Compare Resultant Bolt Force To Shear Resistance of Bolt
Positive Live Load
Vertical shear force in bolts due to the applied shear force
Horizontal shear force in bolts due to the applied horizontal force
Determine the horizontal and vertical components of the bolt shear force on the extreme bolt due to the total moment in the web
Resultant bolt force on the extreme bolt
Negative Live Load
Vertical shear force in bolts due to the applied shear force
Horizontal shear force in bolts due to the applied horizontal force
Determine the horizontal and vertical components of the bolt shear force on the extreme bolt due to the total moment in the web
Resultant bolt force on the extreme bolt
Governing Resultant Bolt Force
Shear Resistance of Bolt
Compare Resultant Bolt Force To Shear Resistance of Bolt
Check for shear rupture on the net section and shear yielding on the gross section of the web splice plates.
R
R
(6.13.5.3-1)
R
(6.13.5.3-2)
Determine Thickness to Satisfy Shear Fracture on the Net Section of the Web Splice Plates
R
Rr1 =
(6.13.4-1)
Rr2 =
Determine Thickness to Satisfy Block Shear Rupture on Net Section of the Web Splice Plates
Gross Area Along the Plane Resisting Shear
Net Area Along the Plane Resisting Shear
Net Area Along the Plane Resisting Tension
Block Shear Resistance
Check for flexural yielding on the gross section of the web splice plates for the Strength I Limit State Due To the Total Web Moment and the Horizontal Force Resultant.
Positive Live Load
Negative Live Load
Check Service II to control permanent deflections (6.10.4.2)
Positive Live Load
Negative Live Load
Check the bearing at the extreme bolt on the connected material for the Strength I Limit State.
Version 6 - Broke section into two parts to check web and web splice individually.
Determine Distance Between Extreme Bolt And End Of Web
Determine Distance Between Extreme Bolt and Adjacent Bolt Vertically.
Determine Distance Between Extreme Bolt and Adjacent Bolt Horizontally.
(6.13.2.9-1)
(6.13.2.9-2)
Version 6 - Broke section into two parts to check web and web splice individually.
Determine Distance Between Extreme Bolt and Adjacent Bolt Vertically.
Determine Distance Between Extreme Bolt and Adjacent Bolt Horizontally.
Determine Distance Between Extreme Bolt and Edge of Splice Plate.
Fatigue is checked at the extreme corner of the splice plate that is subject to a net tensile stress.
Section 6.6.1.2.1 states that in regions where the unfactored permanent loads (f
If f
However, since signs of stress are difficult to keep track of on the web splice, the following calculations assume that the top and bottom of the web splice experience fatigue stresses that need to be investigated.
Positive Live Load
Determine Stress at Top of Web Splice
Determine Stress at Bottom of Web Splice
Negative Live Load
Determine Stress at Top of Web Splice
Determine Stress at Bottom of Web Splice
Positive Live Load
Determine Stress at Top of Web Splice
Determine Stress at Bottom of Web Splice
Negative Live Load
Determine Stress at Top of Web Splice
Determine Stress at Bottom of Web Splice
Version 6 - Advised user to check the girder flanges for 6.10.1.8.
Outside Splice Width (Page 4) :
Outside Splice Thickness (Page 17):
Inside Splice Width (Page 4):
Inside Splice Thickness (Page 17):
Outside and Inside Splice Plate Areas Within 10% of Each Other (Page 18):
Number of Bolts Required (Each Side of Splice) (Page 20):
Bearing Resistance Check (Page 22):
Fatigue I Check (Page 25):
Fatigue II Check (Page 25):
Permanent Deformation Check (Page 27):
Version 6 - Advised user to check the girder flanges for 6.10.1.8.
Outside Splice Width (Page 5):
Outside Splice Thickness (Page 18):
Inside Splice Width (Page 5):
Inside Splice Thickness (Page 18):
Outside and Inside Splice Plate Areas Within 10% of Each Other (Page 18):
Number of Bolts Required (Each Side of Splice) (Page 20):
Bearing Resistance Check (Page 23):
Fatigue I Check (Page 27):
Fatigue II Check (Page 27)
Permanent Deformation Check (Page 27):
Splice Plate Depth (Page 5):
Splice Plate Thickness (Page 5):
Number of Bolts (Each Side of Splice) (Page 35):
Shear Resistance of Web Bolts (Page 36):
Slip Resistance of Web Bolts (Page 38):
Shear Rupture Check of Web Splice (Page 39):
Block Shear Check of Web Splice (Page 40):
Flexural Yielding Check of Web Splice (M+) (Page 41):
Flexural Yielding Check of Web Splice (M-) (Page 41):
Web Splice Service II Check for Permanent Deformations (M+) (Page 42):
Web Splice Service II Check for Permanent Deformations (M-) (Page 42):
Web Bearing Resistance Check (Page 43):
Web Splice Bearing Resistance Check (Page 44):
Version 6 - Broke bearing check into two parts.
Fatigue I Check on Web Splice (Page 45):
Fatigue II Check on Web Splice (Page 46):