On the Correct Application of the 100-40-40 Rule for Combining Responses Due to three Directions of Earthquake Loading

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The 100-40-40 rule is often used with the response spectrum analysis method to determine the maximum seismic responses from structural responses resulting from the three spatial earthquake components. This rule has been referenced in several recent Design Certification applications of nuclear power plants, and appears to be gaining in popularity. However, this rule is described differently in ASCE 4-98 and Regulatory Guide 1.92, consequently causing confusion on correct implementation of this rule in practice. The square root of the sum of the squares method is another acceptable spatial combination method and was used to justify the adequacy of the 100-40-40 ... continued below

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Nie, J.; Morante, R. & Miranda, M., Braverman, J. July 18, 2010.

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The 100-40-40 rule is often used with the response spectrum analysis method to determine the maximum seismic responses from structural responses resulting from the three spatial earthquake components. This rule has been referenced in several recent Design Certification applications of nuclear power plants, and appears to be gaining in popularity. However, this rule is described differently in ASCE 4-98 and Regulatory Guide 1.92, consequently causing confusion on correct implementation of this rule in practice. The square root of the sum of the squares method is another acceptable spatial combination method and was used to justify the adequacy of the 100-40-40 rule during the development of the Regulatory Guide 1.92. The 100-40-40 rule, when applied correctly, is almost always conservative compared to the SRSS method, and is only slightly unconservative in rare cases. The purpose of this paper is to describe in detail the proper application of the 100-40-40 rule, as prescribed in ASCE 4-98 and in Regulatory Guide 1.92, and to clarify the confusion caused by the two different formats of this rule.

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  • ASME 2010 Pressure Vessels & Piping Conference; Bellevue, WA; 20100718 through 20100722

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  • Report No.: BNL--91335-2010-CP
  • Grant Number: DE-AC02-98CH10886
  • Office of Scientific & Technical Information Report Number: 1013473
  • Archival Resource Key: ark:/67531/metadc845247

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  • July 18, 2010

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  • May 19, 2016, 3:16 p.m.

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  • July 21, 2016, 8:04 p.m.

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Nie, J.; Morante, R. & Miranda, M., Braverman, J. On the Correct Application of the 100-40-40 Rule for Combining Responses Due to three Directions of Earthquake Loading, article, July 18, 2010; United States. (digital.library.unt.edu/ark:/67531/metadc845247/: accessed September 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.