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LRFD Metal Loss and Service-Life Strength Reduction Factors for Metal-Reinforced Systems (2011) / Chapter Skim
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Appendix G - List of Symbols and Summary of Equations
Pages 99-105

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From page 99...
... Fs cumulative density function representing steel corrosion rates in Equation (18) Fy yield strength of steel Fy statistical variable for Fy Fult ultimate strength of steel Fult statistical variable for Fult g random variable representing safety margin K coefficient of lateral earth pressure k constant in Equation (1)
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From page 100...
... X loss of steel X′ given amount of steel loss used in Equation (18) zi initial thickness of zinc coating for galvanized reinforcements β reliability index βT target reliability index φ resistance factor γi load factor for the ith load source as used in Equation (6)
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From page 101...
... approximate loss of steel using linear extrapolation for the purpose of design. Calibration of LRFD resistance factors for galvanized reinforcements assumes that the steel cross section is not consumed before the zinc coating, which serves as the sacrificial anode protecting the base steel.
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From page 102...
... is: Chapter 2 -- Research Approach Yield Limit State Reinforcement loads are computed based on the horizontal stress carried by the reinforcements computed as The maximum reinforcement tension per unit width of wall is computed from σH based on the vertical spacing of the reinforcements as Equations (8)
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From page 103...
... is computed as: wherein the AASHTO metal loss model, Equation (5) , is used in the denominator to compute nominal remaining cross section.
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From page 104...
... From the computed pairs of β versus φR, resistance factors can be selected corresponding to the targeted level of reliability. Type II -- Condition Assessment Rock Bolts Metal loss of exposed portions of the reinforcement behind the anchor plate, or other areas, may be expressed using the Romanoff equation as The resistance bias is computed as follows: Chapter 4 -- Conclusions and Recommendations Recommended Resistance Factors for LRFD The following equations are recommended to estimate nominal sacrificial steel requirements for plain steel reinforcements (i.e., not galvanized)
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From page 105...
... The following equation is recommended for computing nominal sacrificial steel requirements for galvanized reinforcements in marginal quality fills: X side t yrs yr side f μ μm m⎛⎝⎜ ⎞⎠⎟ = −( )
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Key Terms

  • zinc corrosion
  • plain steel
  • resistance factors
  • base steel
  • zinc coating

  • galvanized reinforcements
  • cross section
  • corrosion rates
  • resistance factor
  • steel corrosion

  • remaining cross
  • statistical variable
  • tensile strength
  • random variable
  • variable representing

  • corrosion loss
  • load bias
  • zinc depletion
  • resistance bias
  • remaining tensile

  • zinc thickness
  • initial zinc
  • initial thickness
  • steel requirements
  • steel reinforcements

  • steel loss
  • reliability index
  • unit width
  • aashto model
  • load source


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