CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage...
Transcript of CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage...
![Page 1: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/1.jpg)
CALCULATION COVER SHEET
Element: Trunnion Girder and Pier Anchorage Labor Code: 2686C1
Calculation Title: Trunnion Girder and Pier Anchorage
Total Number of Pages (including cover sheet):
Prepared by: Ira Dorsett Date: 2/22/15
Checked by: Chong Johnny Walker (Ongoing) Date:
Design Basis/References/Assumptions: - ACI 318-14 -EM 110-2-2000 Standard Practice for Concrete for Civil Works -EM 1110-2-2104 Strength Design for reinforced concrete hydraulic structures -EM 1110-2-2702 Design of Spillway Tainter Gates -Post Tensioning Manual 6th Edition AASHTO LRFD Design Specifications 2012
Rev. No.
Description of Revision:
Prepared by:
Date:
Checked by:
Date:
Sheet Index:
F1.1-F1.43
F2.1-F2.556
F3.1-F3.2
F4.1-F4.499
F5.1-F5.665
F6.1
F7.1
Load cases and loads applied to foundation slab #3
STAAD input and output
HP 14x73 Compression and tension capacities graph
Foundation piling design
Foundation reinforcement and concrete design
Bill of reinforcement
End of Calculations
1
![Page 2: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/2.jpg)
2
![Page 3: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/3.jpg)
Check Box 1 or 2
1.
Checker's Signature: Date:
OR
2. Checker's comments have been provided on: Calculations
Other
Attached
If box 2 is checked above, the section below to be completed after backcheck of any comments.
Check Box 3, OR go on to Box 4 AND Box 5
3.
OR
4.
AND
5.
Checker's Signature: Date:
QA Signature: Date:
Designer/Checker Inform
ation
Title of Calculations to be checked:
Section Chief or Designee
QA Sign‐Off
The Design/Calculation Check is complete and all comments have been resolved and closed out.
Checker's comments have been adequately addressed by Designer/Originator and all issues have been resolved
between Checker and Designer. The checker has backchecked all comments and reviewed all revised calculations to
assure incorporation into final document.
All items have been checked in accordance with District QMP and found to be correct. Checker has no comments.
There are unresolved comments, and these have been submitted to the Section Chief or designee for resolution.
Design
Check Documentation
File Location:
District/Customer: North Dakota
Bonnie Greenleaf
Project Location:
Project Manager:
2/29/2016
Comments have been resolved by Section Chief or designee. The checker has backchecked comments and reviewed
all revised calculations to assure that resolved comments have been incorporated into final document.
MVP ‐ Design Branch
Calculation Cover Sheet and Design Check DocumentationSection: (Structural/MECS/Civil)
Number of pages Including Cover
Sheet
Trunnion Girder and Longitudinal Anchorage
Assigned Checker:
Additional Information:
Ira W. Dorsett
Project Name:
Designer/Originator(of calculations):
FMM Inlet Diversion Structure Date:
3
![Page 4: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/4.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Design of Trunnion Girder and Pier Anchorage Check By:
Date:
General
Trunnion Girder
Gate Anchorage Zone
STAAD PRO 3D Structural Analysis and Design Software
Materials
Trunnion Girders concrete shall be 7000 psi .
Anchorage zone concrete shall be 5000 psi .
Trunnion girder transverse anchorage shall be 2‐1/2" diameter grouted prestress bars.
Coated Bars and and fasteners shall conform to ASTM A‐775 or ASTM 934. Expoxy Coating thickness shall be 12 mil
Ducts will be submitted to Contracting Officer Representative for approval
Bearing plates shall be A572 gr 50 galvanized according to ASTM A 123
The trunnion girder will be held in place by a unbonded anchorage system that extends into the concrete pier. Longitudinal
anchorage bars will be 2‐1/2" "expoxy coated bars placed inside 5" diameter O.D tube for corrosion protection and
Abutment Girder Dimensions
6' x 6' x 9.5'
Intermediate Girder Dimensions
6' x 6' x 17'
Longitudianl pier anchorage will be 2‐1/2 dia. Fusion bonded epoxy coated partially threaded bars
Element Dimensions
ACI 318‐14 Building Code Requirements for Structural Concrete
American Institute of Steel Construction, 13 Edition
Computer Programs
SAPP 2000 Integrated Structural Analysis and Design Software
Ira W. Dorsett
Fargout Inlet Diversion Structure 9/29/2015
TRUNNION GIRDER DESIGN SUMMARY
The structural design is in accordance with Corps engineering Guidance and applicable industry standards. The trunnion girder
will be cast in place post tensioned construction. The concrete trunnion girder shall be designed based on the working stress
design method. Behavior under service loads shall be considered at all load stages that may be critical during the life of the
project from the time post tensioning is first applied.
References
EM 1110‐2‐2000, Standard Practice for Concrete for Civil Works
EM 1110‐2‐2104 Strength Design for Reinforced Concrete Hyadralic Structures
EM 1110‐2‐2702 Design of Spillway Tainter Gates
Post Tensioning Manual 6th Edition
AASHTO LRFD Design Specifications 2012
4
![Page 5: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/5.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
Figure 1‐A
R �tv Reaction Load Vertical
RTH Reaction Load Horizontal
Mfrict Trunnion Pin Friction Torque
R Resultant Reaction
Thrust Thrust Force, Perpendicular Pier
α Resultant Angle
Descriptions
Ira W. Dorsett
2/22/2016Fargout Inlet Diversion Structure
Loading Conditions
Design of Trunnion Girder and Pier Anchorage
5
![Page 6: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/6.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
Ira W. Dorsett
2/22/2016Fargout Inlet Diversion Structure
Loading Conditions
Factors
Hydraulic Factor 1.30 Per EM 1110‐2‐2104
Single Load Factor 1.70 Per EM 1110‐2‐2104
Per 1110‐2‐2702 1.20
L Case Ptv PTH Mfrict R Thrust α Rtv Rth
LC 1 (LS) ‐167.8 361.55 2.156 398.59 ‐161.28 ‐65.10 ‐257.002 ‐304.67
LC2b Ice ‐206.03 ‐525.09 2.09 564.06 ‐226.36 68.58 484.1985 ‐289.34
LC5(LS) ‐273.09 ‐545.28 ‐31.09 609.84 ‐234.45 63.40 514.9487 326.71
LC5 (b ice ‐182.55 ‐350.73 ‐26.16 395.39 157.21 62.50 374.29 ‐127.45
LC6 US LS ‐6.72 14.80 ‐5.09 16.25 6.73 ‐65.58 ‐15.0084 ‐6.24
LC 6 DS LS 44.75 ‐34.30 1.16 56.38 ‐20.83 ‐37.47 54.90278 12.84
L Case Ptv PTH Mfrict R Thrust α Rtv Rtv
LC 1 (LS) ‐370.84 799.03 4.76 880.89 ‐356.43 62.50 ‐567.975 ‐673.33
LC2b Ice ‐455.33 ‐1160.45 4.63 1246.58 ‐500.26 ‐65.58 1070.079 ‐639.45
LC5(LS) ‐603.53 ‐1205.07 ‐68.71 1347.76 ‐518.13 ‐37.47 1138.037 722.03
LC5 (b ice ‐403.44 ‐775.11 ‐57.81 873.82 347.43 0.00 827.181 ‐281.66
LC6 US LS ‐14.85 32.71 ‐11.25 35.92 14.87 0.00 ‐33.1686 ‐13.79
LC 6 DS LS 98.90 ‐75.80 2.57 124.61 ‐46.03 0.00 121.34 28.37
Per EM 1110‐2‐2702
Unfactored Trunion Load Values
Factored Trunion Load Values
Load Case 5 Governs. Examine unbalanced loading condition one gate just opening with adjacent gate fully open
6
![Page 7: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/7.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
Ira W. Dorsett
2/22/2016Fargout Inlet Diversion Structure
Loading Conditions
One Gate Loaded Condition with give maximum anchorage force
1347.76 0
2.5 5 2.5
1.31 1.31
F1 2375.42
F1 2375.42
Assume Williams 2‐ 1/2 150 ksi Epoxy Coated All‐Thread Bar
CenterlineofPier
F1 F2
R1 R2
7
![Page 8: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/8.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
Ira W. Dorsett
2/22/2016Fargout Inlet Diversion Structure
Loading Conditions
F1 required prestress after losses 2850.51
Bar Diameter 2‐1/2"
fts prestressing force 389.25
N # of bars 7 each side of pier
Calculate Prestress Losses
Calculate Prestess Losses per AASHTO Standard Specifications for Highway and Bridges
The loss due to elastic shortening in pretensioned members shall be taken as
Pier Face
LongitudinalAnchorage
8
![Page 9: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/9.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Trunnion Dead Load (Self‐Weight) Computation
Assume trunnion girder is 6x6 in cross section and 17' long.
Pier width = 10' therefore girder will overhang 3.5' on each side.
Girder Dimensions 1.00
H 6.00
W 6.00
ɣc 0.15 k/ft3
2.66 1.77
Weight 5.40 k/ft
α 0.51 29.47 W 5.40
4.70
Calculate loading on N‐Plane
3.00 0.75 3.50
3.75
Prestress wPS 950.17 k/ft
Girder selfweight wTG 5.40 k/ft
Bearing stress Wbs 772.37 k/ft
Resultant Force 486.55 k/ft
Trunnion girder analyzed in STAAD as a cantilevered beam to calculate max moments and shears
Ira W. Dorsett
Fargout Inlet Diversion Structure 9//30/15
Trunnion Girder and Anchorage
1.25
2.77
WN
k/ft
WT
A
B
C
D 1
1.77
Centerlineof Pier
Symmetrical aboutCenterline
girder self weight
bearing stress
prestress force
face ofpier
9
![Page 10: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/10.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Ira W. Dorsett
Fargout Inlet Diversion Structure 9//30/15
Trunnion Girder and Anchorage
Load Diagram
10
![Page 11: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/11.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Ira W. Dorsett
Fargout Inlet Diversion Structure 9//30/15
Trunnion Girder and Anchorage
Max Moment 67537.00 k/in 5628.08 k/ft Centerline of Pier
Max Shear ‐1444.00 k
Max Moment ‐16256.00 k/in ‐1354.67 Face of Pier
Max Shear ‐983.00 k
Max Tensile Stress ‐1085.66 psi
Max Comp Stress 1085.66 psi
11
![Page 12: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/12.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Trunnion Dead Load (Self‐Weight) Computation
Assume trunnion girder is 6x6 in cross section and 17' long.
Pier width = 10' therefore girder will overhang 4' on each side.
Girder Dimensions 1.00
H 6.00
W 6.00
ɣc 0.15 k/ft3
2.66 1.77
Weight 5.40 k/ft
α 0.51 29.47 W 5.40
4.70
Calculate loading on T‐Plane
1.25 3.00 0.75 3.50
Girder selfweight wTG 5.40 k/ft
Bearing stress Wbs 12.24 k/ft
Trunnion girder analyzed in STAAD as a cantilevered beam to calculate max moments and shears
Ira W. Dorsett
3/24/2015Fargout Inlet Diversion Structure
Trunnion Girder and Anchorage
WN
k/ft
WT
A
B
C
D 1
1.77
Centerlineof Pier
Symmetrical aboutCenterline
girder self weight
bearing stress
face ofpier
12
![Page 13: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/13.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Ira W. Dorsett
3/24/2015Fargout Inlet Diversion Structure
Trunnion Girder and Anchorage
Load Diagram
13
![Page 14: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/14.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Ira W. Dorsett
3/24/2015Fargout Inlet Diversion Structure
Trunnion Girder and Anchorage
Max Moment 7473.60 k/in 622.80 k/ft Centerline of Pier
Max Shear 108.00 k
Max Moment 710.23 k/in 59.19 Face of Pier
Max Shear ‐91.10 k
Max Tensile Stress ‐120.14 psi
Max Comp Stress 120.14 psi
14
![Page 15: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/15.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
N‐ Plane
Max Moment 67537.00 in‐kip 5628.08 ft‐kip Centerline of Pier
Max Shear ‐1444.00 k
Max Moment ‐16256.00 in‐kip ‐1354.67 Face of Pier
Max Shear ‐983.00 k
T‐Plane
Max Moment 7473.60 in‐kip 622.80 ft‐kip Centerline of Pier
Max Shear 108.00 k
Max Moment 710.23 k/in 59.19 Face of Pier
Max Shear ‐91.10 k
Calculate Section Modulus
S 62208 in3
Area 5184 in2
fb, bending stress due to Mn 1085.66 psi
fb, bending stress due to Mt 120.14 psi
Torsion from friction moment and gate weight
‐68.71 ft‐k
Gate wt 110 kips
Distance from centerline of pier to centerline of trunnion assembly 6.5 ft
Max Torsion ‐783.71 ft‐k
*Moments are conservatively assumed to act in same direction
Determine stresses at points A, B, C, and D on Trunnion Girder
Assume tension is positve for stress computaions
fa 1205.80 psi
fb ‐965.53 psi
fc ‐1205.80 psi
fd 965.53
Fargout Inlet Diversion Structure
Trunnion Girder and Anchorage
Ira W. Dorsett
10/5/2015
Calculate maximum flexural stresses in the Trunnion Girder
A
B
D
C
N
T
15
![Page 16: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/16.jpg)
Design of Trunnion Girder Prestress
15 2.5" @50% of Ultimate = 389 k/Bar
Calculate eccentricity by summing about centerline of girder
e 3
Maximum Tenion at point A
1205.8 psi
Therfore prestress 1205 psi + 100 psi
1305 psi
Solve for final prestresss force
P/A +Pe/S = 1305 psi
P= 5,412,096.00
P= 5412 k
Number of Bars 13.90 appox 50% of Ultimate
Use 15 2‐1/2" bars 5835.00 kips
Final Stresses due to Prestress
‐P/A +/‐ Pe/S
‐844.18403 psi
‐1406.9734 psi
Calculate stresses in trunnion girder due to load and prestress
fa ‐201.17 psi
fb ‐1809.71 psi
fc ‐2049.99 psi
fd ‐441.45 psi
A
D
C
B
A
B
D
C
N
S
Pe
A
P
S
Pe
A
P
16
![Page 17: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/17.jpg)
Calculate initial stresses (jacking load) to prestress (65% initial prestress assumed)
Prestress force = 7585.50 kips
‐P/A +/‐ Pe/S
‐1097.44 psi
‐1829.07 psi
fa ‐623.26 psi
fb ‐2062.96 psi
fc ‐2303.24 psi
fd ‐863.54 psi
OK Since greater than 100 psi Compression
Calculation of Principle Tensile Stresses
Investigate Stresses @ Face of Pier ‐ Final Prestress & Design Load (Critical Case)
Vn‐plane ‐983.00 kips
Vt‐Plane ‐91.10 kips
MN‐Plane ‐16,256.00 in‐kip
MT‐Plane 710.23 in‐kip
Tmax ‐9404.51 in‐kip
S
Pe
A
P
17
![Page 18: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/18.jpg)
Using Bach's formula, torsional shear stress is
‐113.38 psi
Stresses in the N‐Plane
Shear stress N‐Plane
‐189.62 psi
Bending Stress (N‐Plane)
‐261.32 psi
Stresses in the T‐Plane
Shear stress T‐Plane
‐17.57 psi
Bending Stress (T‐Plane)
11.42 psi
Calculate stresses at intermediate points E & G
Normal Stresses
10.29 psi
‐12.54 psi
Shear and Torsional Stresses
‐171.05 psi
A
B
D
C
22
9
bd
M t
bd
vV n
n
S
Mf n
n
bd
Vv t
S
Mf n
t
te fA
Pf
tg fA
Pf
max2
3 ne vv
18
![Page 19: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/19.jpg)
Shear and Torsional Stresses cont'd
‐397.82 psi
Principal Tensile Stresses
176.27 psi
403.00 psi
ftg is larger = 5.20 Limiting Value is 3
The principal stress at point E governs and is above the conservative limiting value. However ultimate strength in shear
must be checked for total steel requirements
Calculate stresses at intermediate points F & H
Normal Stresses
‐262.44 psi
260.19 psi
Shear and Torsional Stresses
‐397.82 psi
‐171.05 psi
max2
3 ng vv
22)2
(2 xy
yxyxtef
22)2
(2 xy
yxyxtgf
cf ' cf '
tF fA
Pf
tH fA
Pf
max2
3 nf vv
max2
3 tg vv
19
![Page 20: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/20.jpg)
Principal Tensile Stresses
287.68 psi
345.68 psi governs
Stress Definitions
22)2
(2 xy
yxyx
Hft
22)2
(2 xy
yxyxfft
20
![Page 21: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/21.jpg)
USACE‐ New Orleans District Calcs By: Ira W. Dorsett
Project: Date:
Job: Check By:
Date:
ACI 318‐14
controls 387.2983 psi
737.34 psi
0.42 in2/in governs use 8# 7 @ 9"
0.06 in/in is less than 0.42 O.K.
Spalling reinforcement for trunnion girder
Peff =4% 233.4 n DDR 4% conservative assumption ACI calls our 2%
As 11.67 in2 therefore use 15 # 8's equals a As 14.77 in2
Calculate bursting stress in trunnion girder
Bursting stress = 18% of p/a 202.60 psi
36.47 0.24 psi less than
Intermediate Pier
Longitudinal Prestrss
Fargout Inlet Diversion Structure
Trunnion Girder and Anchorage
Design of Shear Reinforcement
0.1&'5700'6.0 Mu
Vudfc
Mu
Vudfcvc
'5 fcVc
db
Vv
w
uu
fy
bwsvcvuAvreq
)(
fy
bwsAv
50min
60000
12'*6*203 psiAs
cf '2
21
![Page 22: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/22.jpg)
Check Girder to Pier Bearing
horizontal bearing distance 3.75 ft
Girder width 6 ft
Prestress Force assumed 65% ultimate for both sides 4203.9 kips
f'c 7000 psi
Bearing Stress 1297.5 psi < 0.25 f'c OK
Check stresses in pier
Pier width 10 ft
Pier stress 973.13 psi
Bursting Stress 175.16 psi equals 2.26
Area of steel req 0.21 in2/in 2.52 in2/ft use 7 #6 @ 12" for 10 feet
Spalling Reinf.
Trunnion Girder Bearing Against Pier Face
F= 4% of Prestress Force
As 16.816 in2 28.02667 use 4 rows of 7 # 7 bars @ spaced evenly
Longitudinal Reinforement
Trunnion girder to pier bearing 355.5556 psi <.25 f'c OK f'c = 6 ksi
Stresses in pier 888.89 psi 6.5 ft
Bursting stress 160 psi
As 0.384
cf '
60000
12'*6*175 psiAs
20
04.*2*4204sA
22
![Page 23: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/23.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Calculate Anchorage Depth
Radius 27 ft
.90R 24.3 ft
Ira W. Dorsett
Fargout Inlet Diversion Structure 10/5/2015
Trunnion Girder and Anchorage
23
![Page 24: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/24.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
General
Trunnion Girder
Gate Anchorage Zone
STAAD PRO 3D Structural Analysis and Design Software
Materials
Trunnion Girders concrete shall be 7000 psi
Anchorage zone concrete shall be 5000 psi
Trunnion girder transverse anchorage shall be 2‐1/2" diameter grouted prestress bars.
Coated Bars and and fasteners shall conform to ASTM A‐775 or ASTM 934. Expoxy Coating thickness shall be 12 mil
Ducts will be rigid ferrous metal
Beaing plates shall be A572 gr 50 galvanized according to ASTM A 123
Ira W. Dorsett
Fargout Inlet Diversion Structure 2/22/2016
TRUNNION GIRDER DESIGN SUMMARY
The structural design is in accordance with Corps engineering Guidance and applicable industry standards. The trunnion girder will
be cast in place post tensioned construction. The concrete trunnion girder shall be designed based on the working stress design
method. Behavior under service loads shall be considered at all load stages that may be critical during the life of the project from
the time post tensioning is first applied.
References
EM 1110‐2‐2000, Standard Practice for Concrete for Civil Works
EM 1110‐2‐2104 Strength Design for Reinforced Concrete Hyadralic Structures
EM 1110‐2‐2702 Design of Spillway Tainter Gates
Post Tensioning Manual 6th Edition
AASHTO LRFD Design Specifications 2012
Design of Abutment Pier Trunnion Girder and Pier Anchorage
The trunnion girder will be held in place by a unbonded anchorage system that extends into the concrete pier. Longitudinal
anchorage bars will be 2‐1/2" "expoxy coated bars placed inside a rigid metal duct and encased in grease for corrosion protection
Abutment Girder Dimensions
6' x 6' x 9.5'
Intermediate Girder Dimensions
6' x 6' x 17'
Longitudianl pier anchorage will be 2‐1/2 dia. Fusion bonded epoxy coated partially threaded bars
Element Dimensions
ACI 318‐14 Building Code Requirements for Structural Concrete
American Institute of Steel Construction, 13 Edition
Computer Programs
SAPP 2000 Integrated Structural Analysis and Design Software
24
![Page 25: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/25.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
Figure 1‐A
R �tv Reaction Load Vertical
RTH Reaction Load Horizontal
Mfrict Trunnion Pin Friction Torque
R Resultant Reaction
Thrust Thrust Force, Perpendicular Pier
α Resultant Angle
Ira W. Dorsett
2/22/2016Fargout Inlet Diversion Structure
Design of Trunnion Girder and Pier Anchorage
Abutment Loading Conditions
Descriptions
25
![Page 26: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/26.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
Ira W. Dorsett
2/22/2016Fargout Inlet Diversion Structure
Abutment Loading Conditions
Factors
Hydraulic Factor 1.30 Per EM 1110‐2‐2104
Single Load Factor 1.70 Per EM 1110‐2‐2104
Per 1110‐2‐2702 1.20
L Case Ptv PTH Mfrict R Thrust α Rtv Rth
LC 1 (LS) ‐167.8 361.55 2.156 398.59 ‐161.28 ‐65.10 ‐257.002 ‐304.67
LC2b Ice ‐206.03 ‐525.09 2.09 564.06 ‐226.36 68.58 484.1985 ‐289.34
LC5(LS) ‐273.09 ‐545.28 ‐31.09 609.84 ‐234.45 63.40 514.9487 326.71
LC5 (b ice ‐182.55 ‐350.73 ‐26.16 395.39 157.21 62.50 374.29 ‐127.45
LC6 US LS ‐6.72 14.80 ‐5.09 16.25 6.73 ‐65.58 ‐15.0084 ‐6.24
LC 6 DS LS 44.75 ‐34.30 1.16 56.38 ‐20.83 ‐37.47 54.90278 12.84
L Case Ptv PTH Mfrict R Thrust α Rtv Rtv
LC 1 (LS) ‐370.84 799.03 4.76 880.89 ‐356.43 62.50 ‐567.975 ‐673.33
LC2b Ice ‐455.33 ‐1160.45 4.63 1246.58 ‐500.26 ‐65.58 1070.079 ‐639.45
LC5(LS) ‐603.53 ‐1205.07 ‐68.71 1347.76 ‐518.13 ‐37.47 1138.037 722.03
LC5 (b ice ‐403.44 ‐775.11 ‐57.81 873.82 347.43 0.00 827.181 ‐281.66
LC6 US LS ‐14.85 32.71 ‐11.25 35.92 14.87 0.00 ‐33.1686 ‐13.79
LC 6 DS LS 98.90 ‐75.80 2.57 124.61 ‐46.03 0.00 121.34 28.37
Per EM 1110‐2‐2702
Unfactored Trunion Load Values
Factored Trunion Load Values
Load Case 5 Governs. Examine unbalanced loading condition one gate just opening with adjacent gate fully open
26
![Page 27: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/27.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
Ira W. Dorsett
2/22/2016Fargout Inlet Diversion Structure
Abutment Loading Conditions
One Gate Loaded Condition with give maximum anchorage force
1347.76
1.5 2.41 1.58
1.31
F1 2920.61
F1 2920.61
Assume Williams 2‐ 1/2 150 ksi Expoxy Coated All‐Thread Bar
CenterlineofPier
F1 F2
R1
27
![Page 28: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/28.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
Ira W. Dorsett
2/22/2016Fargout Inlet Diversion Structure
Abutment Loading Conditions
F1 required prestress after losses 3504.73
Bar Diameter 2‐1/2"
fts prestressing force 389.25
N # of bars 9 each side of pier
Therefore
F2 F1‐R1 2156.97
F1 required prestress after losses 2157
Bar Diameter 2‐1/2"
fts prestressing force 389.25
N # of bars 6
f1 ***tension positve
‐91 ksf 631 psi
f2
‐157.26937 ksf 1090 psi
Calculate Prestress Losses
Check pier stresses with F1 =3505 kips, no gate load and no prestress force at F2
Compute fiber stresses in f2 inactive side
I
Pec
A
P
I
Pec
A
P
28
![Page 29: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/29.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Check By:
Date:
Ira W. Dorsett
2/22/2016Fargout Inlet Diversion Structure
Abutment Loading Conditions
`
Calculate Prestess Losses per AASHTO Standard Specifications for Highway and Bridges
29
![Page 30: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/30.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Trunnion Dead Load (Self‐Weight) Computation
Assume trunnion girder is 6x6 in cross section and 17' long.
Pier width = 10' therefore girder will overhang 3.5' on each side.
Girder Dimensions 1.00
H 6.00
W 6.00
ɣc 0.15 k/ft3
2.66 1.77
Weight 5.40 k/ft
α 0.51 29.47 W 5.40
4.70
Calculate loading on N‐Plane
3.75
Prestress wPS #DIV/0! k/ft
Girder selfweight wTG 5.40 k/ft
Bearing stress Wbs 934.59 k/ft
Resultant Force 486.55 k/ft
Trunnion girder analyzed in STAAD as a cantilevered beam to calculate max moments and shears
Ira W. Dorsett
Fargout Inlet Diversion Structure 9//30/15
Trunnion Girder and Anchorage
2.77
WN
k/ft
WT
A
B
C
D 1
1.77
Centerlineof Pier
girder self weight
bearing stress
prestress force
face ofpier
9"
1'‐8"
4"
4"
2'‐6"
30
![Page 31: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/31.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Ira W. Dorsett
Fargout Inlet Diversion Structure 9//30/15
Trunnion Girder and Anchorage
Load Diagram
31
![Page 32: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/32.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Ira W. Dorsett
Fargout Inlet Diversion Structure 9//30/15
Trunnion Girder and Anchorage
Max Moment 67537.00 k/in 5628.08 k/ft Centerline of Pier
Max Shear ‐1444.00 k
Max Moment ‐16256.00 k/in ‐1354.67 Face of Pier
Max Shear ‐983.00 k
Max Tensile Stress ‐1085.66 psi
Max Comp Stress 1085.66 psi
32
![Page 33: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/33.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Trunnion Dead Load (Self‐Weight) Computation
Assume trunnion girder is 6x6 in cross section and 17' long.
Pier width = 10' therefore girder will overhang 4' on each side.
Girder Dimensions 1.00
H 6.00
W 6.00
ɣc 0.15 k/ft3
2.66 1.77
Weight 5.40 k/ft
α 0.51 29.47 W 5.40
4.70
Calculate loading on T‐Plane
Girder selfweight wTG 5.40 k/ft
Bearing stress Wbs 899.00 k/ft
Bearing stress Wbs 895.00
Prestress Inactive 12.69
Prestress Active 1168.00
Trunnion girder analyzed in STAAD as a cantilevered beam to calculate max moments and shears
Ira W. Dorsett
3/24/2015Fargout Inlet Diversion Structure
Trunnion Girder and Anchorage
WN
k/ft
WT
A
B
C
D 1
1.77
girder self weight
bearing stress
9"1'‐8"4"2'‐6"9"PrestressInactive Side
3'‐3" 2'‐5"
33
![Page 34: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/34.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Ira W. Dorsett
3/24/2015Fargout Inlet Diversion Structure
Trunnion Girder and Anchorage
Load Diagram
34
![Page 35: CALCULATION COVER SHEET - s3.us-east … · Trunnion Girders concrete shall be 7000 psi . Anchorage zone concrete shall be 5000 psi . Trunnion ... will be cast in place post tensioned](https://reader031.fdocuments.us/reader031/viewer/2022021900/5b5b7e297f8b9ac7498e3807/html5/thumbnails/35.jpg)
USACE‐ New Orleans District Calcs By:
Project: Date:
Job: Check By:
Date:
Ira W. Dorsett
3/24/2015Fargout Inlet Diversion Structure
Trunnion Girder and Anchorage
Max Moment 48700.00 k/in 4058.33 k/ft Centerline of Pier
Max Shear 7473.60
Max Tensile Stress 782.00 psi
Max Comp Stress 782.00 psi
35