Alternative Support Systems for Cantilever - National Transportation ...

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w λpf := .38⋅ λpw := 3.76⋅ E F y_channel E F y_channel Check_Flange_Compact := "Compact" if λpf > λf "Not Compact" otherwise Check_Web_Compact := "Compact" if λpw > λw Bracing Check of Each Channel Lb := b Lp := 1.76⋅ry⋅ E F y_channel "Not Compact" otherwise Bracing_Check := "Braced" if Lp > Lb "Unbraced" otherwise Checking Channel Assembly ⎡ ⎢ ⎣ ⎡ ⎢ ⎣ ⎡ ⎢ ⎣ Iy_unit := 2⋅ Iy + Achannel⋅ x_bar + ry_unit := I y_unit A channel Lp_unit := 1.76⋅ry_unit⋅ bf_unit := 2⋅bf + 1.75in tw_unit := 2⋅tw + 1.75in bf_unit λf_unit := 2⋅tf h λw_unit := tw_unit E F y_channel ⎛ ⎜ ⎝ 1.75in 2 2 ⎞⎤ ⎤⎤ ⎟⎥ ⎥⎥ ⎠⎦ ⎦⎦ 166 w λpf = 9.15 AISC Spec. B4 λpw = 90.55 AISC Spec. B4 Check_Flange_Compact = "Compact" AISC Spec. B4 Check_Web_Compact = "Compact" AISC Spec. B4 Lb = 2⋅ft Lp = 2.69⋅ft AISC Spec. F2.2 (F2-5) Bracing_Check = "Braced" Iy_unit 52.52 in 4 = ry_unit = 2.44 in Lp_unit = 103.49 in bf_unit = 8.09 in tw_unit = 2.77 in λf_unit = 8.07 λw_unit = 4.33
Check_Flange_Compact_Unit := "Compact" if λpf > λf_unit Check_Flange_Compact_Unit = "Compact" "Not Compact" otherwise Check_Web_Compact_Unit := "Compact" if λpw > λw_unit "Not Compact" otherwise Check_Web_Compact_Unit = "Compact" Bracing_Check_Unit := "Braced" if Lp_unit > Lb Bracing_Check_Unit = "Braced" Weld Design ( ) Vweld := max RL, RR tpl := .5in bpl := 5in ( ) Q := tpl⋅bpl ⋅ ⎡⎛ tpl⎞ ⎢⎜ ⎟ ⎣⎝ 2 ⎠ ⎢ ⎡ ⎢ ⎣ + ⎛ ⎜ ⎝ Iweld := 2⋅Ix + 2⋅ tpl⋅bpl ⋅ "Unbraced" otherwise h 2 ( ) ⎞⎤ ⎟⎥ ⎠⎦ ⎡⎛ ⎢⎜ ⎣⎝ t pl 2 ⎞ ⎟ ⎠ + ⎛ ⎜ ⎝ h 2 ⎞⎤ ⎟⎥ ⎠⎦ 2 + ⎛ ⎜ ⎝ 1 12 ⎞ ⎟⎠ b pl ⎥ ⎤ ⎥ ⎦ 3 ⋅ ⋅tpl Vweld = 70.37 kip Q 15.62 in 3 = Iweld 519.42 in 4 = Vweld⋅Q Required_Load_per_Foot := Required_Load_per_Foot 25.4 Iweld kip = ⋅ ft Weld_Size := 3 8 in Felectrode := 70ksi FW := .6⋅Felectrode = 42 ksi ϕweld := .75 Throat := .707⋅Weld_Size AISC Spec. J2 Table J2.5 Required_Load_per_Foot Required_Length_Per_Foot := Required_Length_Per_Foot 3.04 ϕweld⋅FW⋅Throat in = ⋅ ft Tie-Down Design Tmax := Tn_breakout_plate = 347.98 ft·kip Vmax = 38.66 kip Mmax = 309.32 ft·kip 167 Specify 4" per foot of Weld AISC Spec. J2.4 (J2-3)
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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
Page 131 and 132: DEVELOPMENT LENGTHS OF FLEXURAL REI
Page 133 and 134: Short Pipe Design Flexural Strength
Page 135 and 136: Long Pipe Design Flexural Strength
Page 137 and 138: Superstructure Assembly Strength -
Page 139 and 140: Weld Design Tn_blowout Vweld := Tor
Page 141 and 142: Check_Bolt_Shear := "Sufficient Str
Page 143 and 144: Check Reinforcement No_Bars_Block_R
Page 145 and 146: Tie-Down Design Block Properties Wi
Page 147 and 148: Vmax Total Load that the Tie-down m
Page 149 and 150: λpf := .38⋅ λpw := 3.76⋅ E F
Page 151 and 152: Input and Properties Shaft Torsion
Page 153 and 154: ψcV := 1.4 ψecV := 1.0 ψedV := 1
Page 155 and 156: 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: Required Capacity of the Channel As
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 and 208: Lbreakout := tflex.plate + 2⋅1.5c
Page 209 and 210: ( ) .85 if fc < 4000psi β 1 f c .6
Page 211 and 212: REFERENCES 1. Cook, R.A., and Halco
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