Alternative Support Systems for Cantilever - National Transportation ...

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Throat := .707⋅Weld_Size ϕRn_weld := ϕweld⋅Throat⋅FW ϕRn_weld 5.568 kip = ⋅ in ϕRn_yield := .6⋅fy.pipe⋅twall.embed.pipe ϕRn_yield 9.45 kip = ⋅ in ϕRn_rupture := .45⋅fu.pipe⋅twall.embed.pipe ϕRn_rupture 9.787 kip = ⋅ in ϕRn := min( ϕRn_weld, ϕRn_yield, ϕRn_rupture) ϕRn 5.568 kip = ⋅ in Required_Length_Plate := Vweld.flex ϕRn Required_Length_Plate = 32.044⋅in Check_Length := "Sufficient" if π⋅Diameterembed.pipe "Not Sufficient" otherwise Embedded Pipe and Flexure Plate Design Concrete Pedestal Reinforcement Step 5) Concrete Pedestal Reinforcement Given Diametershaft = 42⋅in fy.rebar := 50ksi Lshaft = 12 ft f'c = 5.5⋅ksi Vu = 9.04 kip Tu = 198.88 ft·kip Mu = 165.34 ft·kip Reinforcement for Flexure Determine properties of flexural reinforcement Numberflex.rebar := Nolong.rebar = 11 2 Aflex.rebar := .25π ⋅ ⋅Diameterflex.rebar Assume 8 of the 11 bars yield nflex.yield := 8 ⎛ ⎜ ⎝ ceil Required_Length_Plate ⎟⋅in = 33⋅in in ⎠ ( ) ≥ Required_Length_Plate Diameterhoop.rebar := .500in R := .5Diametershaft = 21⋅in Diameterflex.rebar := 1.375in Diameterrebar.circle := 27.5in 192 Check_Length = "Sufficient" ⎞
( ) .85 if fc < 4000psi β 1 f c .65 if fc > 8000psi ⎡ ⎢ ⎣ .85 − .05⋅ ⎡ ⎢ ⎣ ( fc − 4000psi) 1000psi Calculations Using ACI Stress Block := β 1 f' c ⎤⎤ ⎥⎥ ⎦⎦ ( ) if 4000psi ≤ fc ≤ 8000psi ( ) = 0.775 ACI 10.2.7.3 nflex.yield⋅Aflex.rebar⋅fy.rebar Acomp := A .85⋅f' comp 0.882 ft c 2 = ⎡ ⎢ ⎣ ⎡ ⎢ ⎣ ⎤ ⎥ ⎦ Acompcircle( h) R 2 R h acos − ( ) ⋅ ( R − h) 2⋅R⋅h h R 2 := − ⋅ − ⎥ − Acomp ⎦ ( ) a := root Acompcircle( h) , h, 0in, R a = 6.191⋅in a c := c = 7.988⋅in β1( f'c) c y := .002⋅ y = 5.325⋅in .003 ( ) ⎤ c = 7.988 in. y = 5.325 in. dbars := .5⋅ Diametershaft − c − y + c + y dbars = 27.657⋅in ⎛ ⎜ ⎝ a Mn.shaft := ϕflex⋅nflex.yield⋅Aflex.rebar⋅fy.rebar⋅ dbars − M 2 n.shaft 1.094 10 3 = × ft·kip ( ) Check_Flexure := if Mn.shaft ≥ Mu , "Sufficient" , "Not Sufficient" 193 ⎞ ⎟ ⎠ Check_Flexure = "Sufficient"
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Report No. BDK75 977-04 Date: Augus
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Metric Conversion Table SYMBOL WHEN
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ALTERNATIVE SUPPORT SYSTEMS FOR CAN
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EXECUTIVE SUMMARY During the 2004 h
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CHAPTER TABLE OF CONTENTS 1 INTRODU
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Torsion Test Data .................
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LIST OF FIGURES Figure page Figure
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Figure 4-15. Arrangement of the LVD
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CHAPTER 1 INTRODUCTION This project
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CHAPTER 2 BACKGROUND The following
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information obtained in the late 19
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these problems. The concern with fa
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opposite side, see Figure 2-2 The s
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2.2.4 Helical Pipes This option wou
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2.3 Alternative Foundations from Ot
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Figure 2-10. Drilled concrete piles
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Figure 2-13. Grouted soil anchors G
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The pad and pier foundation, found
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comments and recommendations on pre
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CHAPTER 3 DESIGN IMPLICATIONS Based
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Figure 3-2. Differences between con
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2 [ ] 2 2 ( r ) + 3. 25 ( r ) − (
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eakout surface for a single plate,
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strength of a headed anchor in tens
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Figure 3-9. Schematic of anticipate
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Vbfp l e tfp bfp f’c ca1 = the ba
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3.2.2 Equivalent Side-Face Blowout
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computed. See Equation 3-14 below t
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One method to quantify the failure
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• An additional 12-4.5” long, 1
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Applied load Lever arm Figure 4-4.
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Figure 4-8. Isometric view of embed
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Flexural plate breakout area Torsio
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4.2.4 Annular Base Plate Design The
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torsional strength of the lever arm
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4.4 Concrete Block and Tie-Down Des
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Figure 4-13. Arrangement of the LVD
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4.7 Summary of Torsion and Flexure
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foundation displayed the predicted
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Figure 5-5. Specimen at failure 5.1
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Figure 5-7. Torsional moment and ro
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torsional 45 degree crack formation
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Figure 5-11. Widening of concrete b
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Failure cracks widen Bond loosens F
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Rear of shaft Figure 5-14. Load and
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testing, signifying that the predic
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provided in NCHRP Report 412 were i
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6.2.2 Tapered Embedded Steel Pipe a
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Figure 6-3. FDOT Design Standards I
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This option provides a possible alt
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6.2.5 Cast-in-Place Solid Concrete
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This option does have some disadvan
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Figure 6-9. Embedded steel pipe and
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However, the fillet welds are susce
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APPENDIX A TEST APPARATUS DRAWINGS
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Figure A-3. Dimensioned side elevat
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Figure A-5. Dimensioned drawings of
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Figure A-7. Dimensioned plan drawin
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Figure A-9. Dimensioned drawing of
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Figure A-11. Dimensioned view of em
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STIFFENER DESIGN Calculation of Cap
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L breakout Concrete Breakout Equiva
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Abrg L⋅b 7 in 2 := = .5 Nsb 200
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β 1 f c Calculations Using ACI Str
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Determine Flexural Capacity of Roun
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DEVELOPMENT LENGTHS OF FLEXURAL REI
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Short Pipe Design Flexural Strength
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Long Pipe Design Flexural Strength
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Superstructure Assembly Strength -
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Weld Design Tn_blowout Vweld := Tor
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Check_Bolt_Shear := "Sufficient Str
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Check Reinforcement No_Bars_Block_R
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Tie-Down Design Block Properties Wi
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Vmax Total Load that the Tie-down m
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λpf := .38⋅ λpw := 3.76⋅ E F
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Input and Properties Shaft Torsion
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ψcV := 1.4 ψecV := 1.0 ψedV := 1
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lbreakout := L + 2⋅1.5ca1 lbreako
Page 157 and 158: Rn_weld := Throat⋅FW Rn_weld 11.1
Page 159 and 160: ⎛ ⎜ ⎜⎜⎜⎜⎜⎜⎜ 9.250
Page 161 and 162: Flexural Capacity of T-Plates Using
Page 163 and 164: FAILURE EQUATIONS Torsion Threshold
Page 165 and 166: Required Length of Shaft Based on B
Page 167 and 168: Design Axial Strength ϕcomp := .90
Page 169 and 170: Design Axial Strength ϕcomp := .90
Page 171 and 172: Zp := ⎛ ⎜ ⎝ bp tp⋅ 2 ⎞
Page 173 and 174: Bolt Properties - D1" ASTM A325 Cen
Page 175 and 176: CONCRETE BLOCK Concrete Block Desig
Page 177 and 178: Check Shear Check_Shear_B := "Suffi
Page 179 and 180: 7'-4" 8" 5'-4" 8" 1'-3" Calculate s
Page 181 and 182: Required Capacity of the Channel As
Page 183 and 184: Check_Flange_Compact_Unit := "Compa
Page 185 and 186: Rear of Shaft Face of Shaft Figure
Page 187 and 188: Bolt slippage ends Predicted failur
Page 189 and 190: APPENDIX D DESIGN GUIDELINES For th
Page 191 and 192: The designer should then use this i
Page 193 and 194: • Determine the angle required fo
Page 195 and 196: Superstructure Base Connection Foun
Page 197 and 198: 1.5ca1 1.5ca1 Length of bearing are
Page 199 and 200: Vu = 9.04 kip T .u = 198.88 ft·kip
Page 201 and 202: Increase threaded rod diameter to 2
Page 203 and 204: Embedded Pipe and Torsion Plates De
Page 205 and 206: ⎝ ⎠ Check_Breakout_Torsion := "
Page 207: Lbreakout := tflex.plate + 2⋅1.5c
Page 211 and 212: REFERENCES 1. Cook, R.A., and Halco
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