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E: ssas@bssa.org.uk

E: ssas@bssa.org.uk

The non-linear material stress-strain curve of stainless steel (see Comparison of structural design in stainless steel and carbon steel) implies that the stiffness of a stainless steel component varies with the stress level, the stiffness decreasing as the stress increases. Consequently, deflections are greater than what you would expect with carbon steel. It is therefore necessary to use a reduced modulus to predict the deflection of stainless steel members in which high stresses occur. Using standard structural theory, but with the secant modulus corresponding to the highest level of stress in the member, is a conservative method of estimating deflections in stainless steel members.

The secant modulus, E_{s}, to be used in deflection calculations should be ascertained for the member with respect to the rolling direction. If the orientation is not known, or cannot be ensured, then the lesser value of E_{s} should be assumed. The value of the secant modulus may be obtained as follows:

where E_{st} and E_{sc} are the secant moduli corresponding to the stress in the tension flange and compression flange respectively. Values of E_{st} and E_{sc} for a given stress ratio may be read from the table below using linear interpolation as necessary.

Stress ratio(f/p_{y}) |
Secant modulus E_{s} (kN/mm^{2}) |
||||
---|---|---|---|---|---|

Grade 1.4301 (304) | Grade 1.4401 (316) | Grade 1.4462 (duplex 2205) | |||

Longitudinal direction | Transverse direction | Longitudinal direction | Transverse direction | Either direction | |

0.00 | 200 | 200 | 200 | 200 | 200 |

0.20 | 200 | 200 | 200 | 200 | 200 |

0.25 | 200 | 200 | 200 | 200 | 199 |

0.30 | 199 | 200 | 200 | 200 | 199 |

0.35 | 199 | 200 | 199 | 200 | 197 |

0.40 | 198 | 200 | 199 | 200 | 196 |

0.42 | 197 | 199 | 198 | 200 | 195 |

0.44 | 196 | 199 | 197 | 199 | 194 |

0.46 | 195 | 199 | 197 | 199 | 193 |

0.48 | 193 | 198 | 196 | 199 | 191 |

0.50 | 192 | 198 | 194 | 199 | 190 |

0.52 | 190 | 197 | 193 | 198 | 188 |

0.54 | 188 | 196 | 191 | 197 | 186 |

0.56 | 185 | 195 | 189 | 197 | 184 |

0.58 | 183 | 194 | 187 | 195 | 182 |

0.60 | 179 | 192 | 184 | 194 | 180 |

0.62 | 176 | 190 | 181 | 192 | 177 |

0.64 | 172 | 187 | 178 | 190 | 175 |

0.66 | 168 | 184 | 174 | 188 | 172 |

0.68 | 163 | 181 | 170 | 185 | 169 |

0.70 | 158 | 177 | 165 | 181 | 165 |

0.72 | 152 | 172 | 160 | 177 | 162 |

0.74 | 147 | 167 | 154 | 172 | 159 |

0.76 | 141 | 161 | 148 | 166 | 155 |

Note: f is the (unfactored) stress at the serviceablilty limit state and p_{y} is the design strength, conventionally taken as the 0.2% proof strength which is 210 N/mm^{2} for grade 1.4301 (304), 220 N/mm^{2} for grade 1.4401 (316) and 460 N/mm^{2} for 1.4462 (2205 duplex). |

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