{"id":32666,"date":"2026-04-27T12:23:19","date_gmt":"2026-04-27T12:23:19","guid":{"rendered":"https:\/\/protasoftware.com\/technical-manuals\/building-analysis\/sway-sensitivity-second-order-effects\/"},"modified":"2026-06-19T12:37:52","modified_gmt":"2026-06-19T12:37:52","slug":"sway-sensitivity-second-order-effects","status":"publish","type":"wiki","link":"https:\/\/protasoftware.com\/wiki\/sway-sensitivity-second-order-effects\/","title":{"rendered":"Sway Sensitivity Second Order Effects"},"content":{"rendered":"<div>\n<div style=\"font-size: 14px\">\n<div>\n<div>\n<h2 class=\"toc_anchors\" id=\"Automatic_Assessment_of_Sway_Sensitivity\"><span class=\"colour\">Automatic Assessment of Sway Sensitivity<\/span><br \/><\/h2>\n<\/p><\/div>\n<\/p><\/div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Sway sensitivity is automatically determined in&nbsp;<b>Prota<\/b>Structure<b>&nbsp;<\/b>when the design code is set to EC2.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">For other codes as discussed below, an assessment of sway sensitivity&nbsp;<\/span><\/span><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">can also<\/span><\/span><\/i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;be made, however it should be noted that this is based on analytical results and the recommendations of the ACI code.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Whenever sway sensitivity is assessed automatically you are advised to be aware of the limitations that apply, these can be viewed by clicking the <b><i>\u2018Limitations\u2019<\/i><\/b> button on the Building Analysis\/ Reports tab.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><img decoding=\"async\" data-zdeskdocselectedclass=\"\" data-zdeskdocid=\"img_3984744076534914\" class=\"docsimage\" style=\"padding: 0px;max-width: 100%;width: 285px;height: auto\" src=\"https:\/\/desk.zoho.com\/DocsDisplay?zgId=672206093&amp;mode=inline&amp;blockId=m4x2qa5d8e0fb0d514c3bab64c6bc6fd490e2\"><\/p>\n<div>\n<div>\n<h2 class=\"toc_anchors\" id=\"User_Defined_Bracing\"><span class=\"colour\">User Defined Bracing<\/span><br \/><\/h2>\n<\/p><\/div>\n<\/p><\/div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In both the BS8110 code and also CP65 there are no provisions for assessing sway sensitivity by analytical methods. Therefore, when using BS8110 or CP65 you need to check the option for <b>&#8220;<\/b><\/span><\/span><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><b>User Defined Bracing for Columns and<\/b><\/span><\/span><\/i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><b>&nbsp;<\/b><\/span><\/span><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><b>Walls&#8221;&nbsp;<\/b><\/span><\/span><\/i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">and then apply the condition (braced or unbraced) that you deem appropriate for the building.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">If you do not check this option then<b><i>&nbsp;<\/i><\/b>ProtaStructure&nbsp;will make an assessment of sway sensitivity based on analytical results and the recommendations of the ACI code.<\/span><\/span><\/p>\n<\/p><\/div>\n<div style=\"font-size: 14px\">\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><img decoding=\"async\" data-zdeskdocselectedclass=\"\" data-zdeskdocid=\"img_6868533293620607\" class=\"docsimage\" style=\"padding: 0px;max-width: 100%;width: 398px;height: auto\" src=\"https:\/\/desk.zoho.com\/DocsDisplay?zgId=672206093&amp;mode=inline&amp;blockId=m4x2qc6a8eda66d134be49f55d61dd0323b48\"><\/p>\n<div>\n   \n  <\/div>\n<\/p><\/div>\n<div>\n<div>\n   <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-a2adeca9e39498a6f88e2c8333b8056c.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Notes\"><\/p>\n<div>\n     <span class=\"colour\">However that this assessment is deflection dependent and that the ACI code gives guidance on appropriate adjustments to section\/material properties to be used in the building analysis for the purposes of this assessment. Such adjustments will increase the deflection value used in the checks.<\/span><span class=\"colour\"><br \/><\/span>\n    <\/div>\n<p><\/span>\n  <\/div>\n<\/p><\/div>\n<\/div>\n<div>\n<div>\n  <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-a64b6c2851623ebfd260a4db24ae1476.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Warning\"><\/p>\n<div>\n    <span class=\"colour\">That the check can result in different classifications for different storeys which is not a condition that is recognized by BS8110. We continue to advise that this assessment is used cautiously and that when the appropriate overall condition is determined that this should be applied as a user-defined classification (in accordance with BS8110).<\/span>\n   <\/div>\n<p><\/span>\n <\/div>\n<\/div>\n<div>\n<div style=\"font-size: 14px\">\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\">&nbsp;<\/span><b><span style=\"font-size: 24px\" class=\"size\"><br \/><\/span><\/b><\/p>\n<div>\n<div>\n<h2 class=\"toc_anchors\" id=\"Classification_Requirements_of_each_code\"><span class=\"colour\">Classification Requirements of each code<\/span><br \/><\/h2>\n<\/p><\/div>\n<\/p><\/div>\n<h3 class=\"toc_anchors\" id=\"BS8110_similarly_CP65_and_HK-2004\" style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\">BS8110 (similarly CP65 and HK-2004)<\/span><br \/><\/h3>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><b><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Bracing Classification \u2014&nbsp;<\/span><\/span><\/i><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In BS8110 columns (and walls in minor axis direction) are considered as braced if lateral stability is provided (predominantly) by walls or other stiffer elements. This classification remains a matter of engineering judgement.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><b><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Global P-Delta Effects \u2014&nbsp;<\/span><\/span><\/i><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">it is an inherent assumption in the above that walls provide sufficient lateral stiffness that global sway of the building is small and hence &#8220;Big&#8221; P-delta effects can be ignored in braced structures. For un-braced structures, there is no clear statement on whether or not global P-Delta is also considered ignorable or is simply considered to be adequately catered for in the amplification of design moments noted below.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><b><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Slenderness Classification \u2014&nbsp;<\/span><\/span><\/i><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">this is based on the effective length. <\/span><\/span><\/p>\n<ol>\n<li style=\"list-style-type: disc\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In braced structures effective lengths are &lt; 1 and<\/span><\/span><\/li>\n<li style=\"list-style-type: disc\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">in un-braced structures effective lengths are &gt; 1.<\/span><\/span><\/li>\n<\/ol>\n<div>\n   <span class=\"colour\"><span style=\"font-size: 16px\" class=\"size\">It is considerably more likely that a member gets classified as slender when it has been classified as un-braced.<\/span><\/span>\n  <\/div>\n<div>\n   \n  <\/div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Short (Non-Slender) Members will see no amplification of moment at all, even if they are un-braced.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Slender Members (Members susceptible to P-Delta effects)<\/span><\/span><\/p>\n<ul style=\"margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><b>Braced-Slender Elements <\/b>&#8211; additional moments are calculated based on effective length and are considered to be a maximum at around mid-height. These moments are not added to the highest end moment so this may or may not end up being a critical design condition. This additional moment is clearly intended to cater for &#8220;little&#8221; P-delta effects (strut buckling)<\/span><\/span><\/li>\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><b>UnBraced-Slender Elements <\/b>&#8211; additional moments are calculated based on effective length (which is longer and hence additional moments will be greater), and are considered to be a maximum at the member ends. The additional moment is added to the highest end moment so this will always end up being a critical design condition.<\/span><\/span><\/li>\n<\/ul>\n<p style=\"margin: 0px 0px 10px 17pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">It is assumed that this amplification of the critical design condition is intended to cater for both big and little P-delta effects.<\/span><\/span><\/p>\n<\/p><\/div>\n<div style=\"font-size: 14px\">\n<p class=\" align-justify\" style=\"margin: 0px 0px 10px;line-height: 20px;text-align: justify\"><span class=\"colour\"><span style=\"font-size: 16px\" class=\"size\">The advantage of the above procedure is that moment amplification in each column is related only to the classification and slenderness of that column. Where columns are unbraced this is not entirely logical and cl3.8.3.8 does provide an option where the average slenderness effect for an entire unbraced storey level can be used for all members at that level. Typically this would mean that members which are un-braced but not slender add to an average stiffening effect and so the design should be less conservative. <\/span><\/span><\/p>\n<div>\n<div>\n    <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-35eb76d4e4db16c334fc7c73f85eea7f.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Alert\"><\/p>\n<div>\n      <span class=\"colour\"><span style=\"font-size: 16px\" class=\"size\">This option is not applied in ProtaStructure because the design procedure would become highly iterative (the design of every column would affect the design of every other column at an un-braced level and moment amplification would need to be introduced to non-slender members).<\/span><\/span>\n     <\/div>\n<p><\/span>\n   <\/div>\n<\/p><\/div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\">&nbsp;<\/span><\/p>\n<h3 class=\"toc_anchors\" id=\"ACI_318-02\" style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span class=\"size\" style=\"font-size: 18px;line-height: normal\">ACI 318-02<br \/><\/span><\/span><\/h3>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">When the design code is set to BS8110, CP65 or HK-2004; if you uncheck <b><i>\u201cUser Defined Bracing for Columns and Walls\u201d<\/i><\/b>, a facility is made available for assessing the susceptibility of individual storeys to P-Delta effects. This uses the ACI method of classification during the building analysis.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><b><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Bracing Classification \u2014&nbsp;<\/span><\/span><\/i><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">using the ACI approach each storey level within a building is classified as sway or non-sway. The code also provides a method allowing analytical assessment of this classification based on deflections arising from a linear analysis of the structure.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><b><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Global P-Delta Effects \u2014&nbsp;<\/span><\/span><\/i><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">when a storey is classified as <b><i>&#8220;non-sway&#8221;<\/i><\/b> then it can be assumed that global P-Delta effects are small enough to be ignored at that level. When a storey is classified as <b><i>&#8220;sway&#8221;<\/i><\/b> then the frame analysis results need to be amplified in some way, options given are:<\/span><\/span><\/p>\n<ul style=\"margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">A second order analysis (which would inevitably affect all members in the structure)<\/span><\/span><\/li>\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Approximate moment magnification methods (cl.10.13.2 appears to indicate that this moment amplification only needs to be applied to the slender members at each floor level (similar to BS8110) is this logical? &#8211; or should this amplify the sway moments in all columns and walls on a level by level basis?)<\/span><\/span><\/li>\n<\/ul>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><b><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Slenderness Classification \u2014&nbsp;<\/span><\/span><\/i><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">this is based on the effective length. At <b><i>&#8220;Non-sway&#8221;<\/i><\/b> levels effective lengths are &lt; 1 and at &#8220;sway&#8221; levels effective lengths are &gt; 1. It is considerably more likely that a member gets classified as slender when it exists at a &#8220;sway&#8221; level.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Short (Non-Slender) Members will see no amplification of moment at all even if they are at &#8220;Sway&#8221; levels.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Slender Members (Members susceptible to P-Delta effects)<\/span><\/span><\/p>\n<ul style=\"margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Slender Elements at Non-Sway Levels &#8211; additional moments are calculated based on effective length and are considered to be a maximum at around mid height. These moments are not added to the highest end moment so this may or may not end up being a critical design condition.<\/span><\/span><\/li>\n<\/ul>\n<p style=\"margin: 0px 0px 10px 17pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In essence the approach here is identical to that used for braced slender members in BS8110.<\/span><\/span><\/p>\n<ul style=\"margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Elements at Sway Levels &#8211; as noted above the end moments of all members may be amplified to account for Global P-Delta effects. If a member at such a level is classified as slender, the calculation of the magnified moment is not based on the effective length of each individual member, moment magnifiers are based either on the stability index for the floor (cl.10.13.4.2) or an assessment of the average buckling capacity of all members at the floor (cl.10.13.4.3 &#8211; similar to the optional method in BS8110).<\/span><\/span><\/li>\n<\/ul>\n<p style=\"margin: 0px 0px 10px 17pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">The additional moment is added to the highest end moment so this will always end up being a critical design condition. Additional check (cl.10.13.5) &#8211; having amplified the end moments there is a requirement to check that intermediate slenderness effects (using effective length = 1.0L) are not more critical<\/span><\/span><\/p>\n<\/p><\/div>\n<div style=\"font-size: 14px\">\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">While the method of moment amplification is different for slender members at sway levels, the general principles of moment amplification are the same in BS8110 and ACI and the terms used for classification are interchangeable:<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px 8pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">\u2022 BS8110 Braced = ACI Non-Sway<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px 8pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">\u2022 BS8110 Un-Braced = ACI Sway<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">The ACI has the advantage that the classification is not a matter of engineering judgement and also that it introduces the flexibility to mix both braced and un-braced classifications within one structure.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">The ACI amplifications are applied only to lateral load cases &#8211; this does not address the fact that sway will occur as a result of vertical loads applied to any unsymmetrical structure and hence ignores the possibility that significant P-delta effects could accrue due to this aspect of sway. However, for the majority of &#8220;building&#8221; type structures this simplification\/assumption is likely to be acceptable.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">There does seem to be a question mark relating to the ACI approach for slender columns. If the sway moment amplification is made using the stability index then should the column be taken into design as a braced column using an effective length = 1.0 (because the unbraced (global P-Delta) aspect of slenderness has already been allowed for?). This seems much less conservative than the suggested implementation procedure for EC2 discussed below.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/p>\n<h3 class=\"toc_anchors\" id=\"EC2\" style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span class=\"size\" style=\"font-size: 18px;line-height: normal\">EC2<\/span><\/span><br \/><\/h3>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In EC2 similar terminologies are used but the meanings are different:<\/span><\/span><\/p>\n<ul style=\"margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Cl 5.8.1 &#8211; Introduces concept of braced and bracing members.<\/span><\/span><\/li>\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Cl 5.8.2 &#8211; Second Order Effects &#8211; this clause distinguishes between global effects (applying to the whole structure) and isolated member effects (slenderness).<\/span><\/span><\/li>\n<\/ul>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><b><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Bracing Classification \u2014&nbsp;<\/span><\/span><\/i><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Bracing members are the members which are assumed to provide the lateral stability of the structure. Columns and walls that are not \u201cbracing members\u201d are classified as \u201cbraced\u201d. Unfortunately there is an element of engineering discretion involved in this classification which will be discussed later.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><b><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Global P-Delta Effects \u2014&nbsp;<\/span><\/span><\/i><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">there is some guidance on determining if these effects can be ignored (For the purposes of this discussion we will classify structures in which global P-Delta effects cannot be ignored as &#8220;sway sensitive&#8221;). Cl 5.8.3.3 (1) gives a simple equation that is only applicable in limited circumstances and is actually also difficult to apply. Initial calculations using this equation have suggested that it would be too conservative resulting in too many structures being classified as sway sensitive.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Annex H provides slightly more general guidance. In order to automate the Annex H classification in ProtaStructure, the approach has been modified to become similar in principal to the ACI classification method. It is noted that a single classification gets applied to the entire sway resisting structure (the bracing members). If it is determined that global P-Delta effects cannot be ignored (the structure is sway sensitive) then the approach becomes a user driven procedure, in which the sway loads are amplified in accordance with Annex H. This is a relatively simple procedure applied as follows:<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">1. View the sway sensitivity report to obtain the suggested load amplification factors.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">2. Apply this amplification to the existing load combination factors.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">3. Re-analyse using the option to over-ride further sway sensitivity assessment and design the structure as if it is not sway sensitive (because the global P-Delta effects are now catered for).<\/span><\/span><\/p>\n<\/p><\/div>\n<div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Tests have indicated that the sway sensitivity assessment procedure described above results in a non-sway classification for the vast majority of structures .<\/span><\/span><br \/><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Note:<\/span><\/span><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Although the classification applies to the bracing members, it is impossible to isolate these when analysing the structure, so P-delta forces (introduced by load amplification or P-delta&nbsp;analysis) will accrue in all members (braced or bracing, short or slender).<\/span><\/span><\/i><br \/><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><b><i><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Slenderness Classification \u2014&nbsp;<\/span><\/span><\/i><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">this is based on the effective length. For braced members effective lengths are &lt; 1 and for bracing members effective lengths are &gt; 1. It is considerably more likely that a member gets classified as slender when it has been classified as a bracing member.<\/span><\/span><br \/><\/span><\/span><\/p>\n<div style=\"font-size: 14px\">\n   <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Short (Non-Slender) Members:<\/span><\/span>\n  <\/div>\n<ul style=\"font-size: 14px;margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\">\n<div>\n     <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">As noted above, if these members exist in a sway sensitive frame then there may have been some amplification of the design forces introduced during the general analysis procedure.<\/span><\/span>\n    <\/div>\n<\/li>\n<li style=\"padding-top: 6px;padding-bottom: 6px\">\n<div>\n     <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">no other amplification of moments is then applied.<\/span><\/span>\n    <\/div>\n<\/li>\n<\/ul>\n<div style=\"font-size: 14px\">\n   <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Slender Members (Members susceptible to P-Delta effects)<\/span><\/span>\n  <\/div>\n<ul style=\"font-size: 14px;margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\">\n<div>\n     <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Slender Braced Members &#8211; additional moments are calculated based on effective length and are considered to be a maximum at around mid height. These moments are not added to the highest end moment so this may or may not end up being a critical design condition<\/span><\/span>\n    <\/div>\n<\/li>\n<\/ul>\n<div style=\"font-size: 14px\">\n   <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In essence the approach here is identical to that used for braced slender members in BS8110 and ACI.<\/span><\/span>\n  <\/div>\n<ul style=\"font-size: 14px;margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\">\n<div>\n     <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Slender Bracing Members &#8211; as in BS8110 &#8211; additional moments are calculated based on effective length (which is longer and hence additional moments will be greater). Un-like BS8110 the additional moment does not have to be added to the highest end moment (because the end moment is already amplified if the structure is sway sensitive). In EC2 additional moments in slender members are introduced in the same way regardless of whether or not the member exists in a sway sensitive frame.<\/span><\/span>\n    <\/div>\n<\/li>\n<\/ul>\n<div style=\"font-size: 14px\">\n   <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In summary &#8211; it seems EC2 maintains a distinction between global P-delta effects and local slenderness effects which potentially results in a 2 stage amplification of moments. Once the sway sensitivity is assessed the global P-Delta effects are introduced in the analysis results as necessary. For the local slenderness effects the general principles of moment amplification in EC2 are very similar to those applied in BS8110:<\/span><\/span>\n  <\/div>\n<ul style=\"font-size: 14px;margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\">\n<div>\n     <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">EC2 Braced = BS8110 Braced<\/span><\/span>\n    <\/div>\n<\/li>\n<li style=\"padding-top: 6px;padding-bottom: 6px\">\n<div>\n     <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">EC2 Bracing = BS8110 Un-Braced (but we would expect that the EC2 amplification might be lower since the BS8110 amplification at this point mixes both global and local effects whilst in EC2 any global effects would already have been introduced).&nbsp;<\/span><\/span>\n    <\/div>\n<\/li>\n<\/ul>\n<div style=\"font-size: 14px\">\n<h1 class=\"toc_anchors\" id=\"Implementation_of_EC2_Classification_in_ProtaStructure\"><span class=\"colour\">Implementation of EC2 Classification in ProtaStructure<\/span><br \/><\/h1>\n<\/p><\/div>\n<div style=\"font-size: 14px\">\n<h2 class=\"toc_anchors\" id=\"Setting_the_BracedBracing_Members\"><span class=\"colour\">Setting the Braced\/Bracing Members<\/span><br \/><\/h2>\n<\/p><\/div>\n<p style=\"margin: 0px 0px 10px 1pt;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">EC2 requires the user to distinguish between the braced and the bracing members of a structure. This can be specified on the Lateral Drift tab of Building Parameters. <\/span><\/span><br \/><\/span><\/span><\/p>\n<div style=\"font-size: 14px\">\n<div>\n    <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-a2adeca9e39498a6f88e2c8333b8056c.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Notes\"><\/p>\n<div>\n      <span class=\"size\" style=\"font-size: 16px;line-height: normal\"><span class=\"colour\">This setting has nothing to do with assessing sway sensitivity which is dealt with separately.<\/span><\/span>\n     <\/div>\n<p><\/span>\n   <\/div>\n<div>\n    \n   <\/div>\n<\/p><\/div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><img decoding=\"async\" style=\"padding: 0px;max-width: 100%\" src=\"https:\/\/desk.zoho.com\/DocsDisplay?zgId=672206093&amp;mode=inline&amp;blockId=m4x2q855073c558ca4398ab588db8604f6b27\"><br \/><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px 1pt;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">The purpose is to identify Bracing Members in each Global Direction (The member types that contribute to lateral stability of the building). The default setting is as shown above, (columns considered to be braced; walls considered to be braced about their minor axis, but to provide bracing to the structure about their major axis).<\/span><\/span><br \/><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><br \/><\/span><\/span><\/p>\n<h2 class=\"toc_anchors\" id=\"Assessment_of_Sway_Sensitivity\" style=\"font-size: 14px;margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\">Assessment of Sway Sensitivity<\/span><br \/><\/h2>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Most of the guidance surrounding EC2 suggests\/assumes that most buildings will be classified as non-sway. Essentially the expectation is that the assumption made in BS8110 design, that any building stabilised by shear\/ core walls is non-sway, will prove to be correct.<\/span><\/span><br \/><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Whether this proves to be true is somewhat irrelevant, the fact is that sway sensitivity classification has to be made and the Eurocode provides three options for doing this:<\/span><\/span><br \/><\/span><\/span><\/p>\n<ol style=\"font-size: 14px\">\n<li style=\"list-style-type: decimal\"><span class=\"colour\"><span style=\"font-size: 16px\" class=\"size\">Use cl 5.8.3.3 (eq 5.18)<\/span><\/span><\/li>\n<li style=\"list-style-type: decimal\"><span class=\"colour\"><span style=\"font-size: 16px\" class=\"size\">Use guidance from Annex H<\/span><\/span><\/li>\n<li style=\"list-style-type: decimal\"><span class=\"colour\"><span style=\"font-size: 16px\" class=\"size\">Do a P-Delta analysis and check that the change in results is less than 10% (cl 5.8.2), if true than you can revert to linear elastic analysis.<\/span><\/span><\/li>\n<\/ol>\n<p style=\"margin: 0px 0px 10px 1pt;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><b><span style=\"font-size: 16px\" class=\"size\"><br \/><\/span><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">If the structure is classified as sway sensitive then there are two options for dealing with this:<\/span><\/span><br \/><\/span><\/span><\/p>\n<ol>\n<li style=\"list-style-type: decimal\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Annex H &#8211; Application of increased horizontal forces.<\/span><\/span><\/li>\n<li style=\"list-style-type: decimal\"><span class=\"colour\">Do a P-Delta Analysis by checking the option <span class=\"font\"><i><b>&#8220;Apply P-Delta Analysis&#8221;&nbsp;<\/b><\/i>in the Load Combination&nbsp;Editor<\/span><\/span><\/li>\n<\/ol>\n<div>\n<div>\n    <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-35eb76d4e4db16c334fc7c73f85eea7f.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Alert\"><\/p>\n<div>\n      Please refer the Scope &amp; Limitation of ProtaStructure P-Delta Analysis :&nbsp;<a target=\"_blank\" href=\"https:\/\/support.protasoftware.com\/portal\/en\/kb\/articles\/load-combinations#P-Delta_Analysis\" rel=\"noopener noreferrer\">Load Combination &gt; P-Delta Analysis<\/a>\n     <\/div>\n<p><\/span>\n   <\/div>\n<\/p><\/div>\n<p style=\"margin: 0px 0px 10px 1pt;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In fact there is a third option which might be applied when an engineer discovers a building is sway-sensitive &#8211; they may find a way to add more shear walls and change the classification!<\/span><\/span><br \/><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px 1pt;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Initially the P-delta option may seem attractive but it must be recognised that EC2 is very clear on the fact that realistic member properties accounting for creep and cracking must be used and the calculation of these properties becomes a unique procedure for every member.<\/span><\/span><br \/><\/span><\/span><\/p>\n<div style=\"font-size: 14px\">\n   <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-a2adeca9e39498a6f88e2c8333b8056c.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Notes\"><\/p>\n<div>\n     <span class=\"colour\">For sway sensitive structure, the Annex H guidance has been adopted for ProtaStructure.<\/span>\n    <\/div>\n<p><\/span>\n  <\/div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\">&nbsp;<\/span><br \/><\/span><\/span><\/p>\n<\/p><\/div>\n<div style=\"font-size: 14px\">\n<h2 class=\"toc_anchors\" id=\"Worked_Example_for_a_Sway_Sensitive_EC2_Structure\" style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\">Worked Example for a Sway Sensitive EC2 Structure<\/span><br \/><\/h2>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\">&nbsp;<\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\">&nbsp;<img decoding=\"async\" data-zdeskdocselectedclass=\"\" data-zdeskdocid=\"img_9125373191092698\" class=\"docsimage\" style=\"padding: 0px;max-width: 100%;width: 503.875px;height: auto\" src=\"https:\/\/desk.zoho.com\/DocsDisplay?zgId=672206093&amp;mode=inline&amp;blockId=m6m5q7a1cd44c22044df3b0bdfd0a86071dca\"><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">A model is constructed as shown above with two 3m wall panels providing stability in each direction.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Floor to floor ht= 3.0 m<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Wall Length \/ Width= 3m \/ 0.2m<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Concrete Grade= C30\/37<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">G= 7 kN\/m2 (total including walls)<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Q= 2.5 kN\/m2<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Beams are provided for load collection only &#8211; they are pinned at both ends in order that lateral loads are focused in the shear walls.<\/span><\/span><\/p>\n<\/p><\/div>\n<\/div>\n<div>\n<h3 class=\"toc_anchors\" id=\"Model_Analysis_Properties\"><span class=\"colour\">Model Analysis Properties<\/span><br \/><\/h3>\n<\/div>\n<div>\n<div style=\"font-size: 14px\">\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">The notes with eq H.8 indicate that cl 5.8.7.2 should be referred to &#8211; the stiffness of the members used in the analysis leading to the classification must be adjusted and Cl 5.8.7.2 is referred to for the adjustment.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Cl 5.8.7.2 gives a procedure for calculation of Nominal Stiffness of compression members. Rigorous use of this clause would require iteration since the adjusted properties are member specific (load and reinforcement and even direction dependent).<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Simplified alternatives are given, the simplest of which still involves the use of theta-ef (the &#8220;Effective Creep Ratio&#8221;) which remains a member specific calculation.<\/span><\/span><\/p>\n<div>\n   <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-a2adeca9e39498a6f88e2c8333b8056c.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Notes\"><\/p>\n<div>\n     <span class=\"colour\"><span style=\"font-size: 16px;line-height: normal\" class=\"size\">Stiffness factors can be set in <a target=\"_blank\" href=\"https:\/\/support.protasoftware.com\/portal\/en\/kb\/articles\/model-options#Model:~:text=Model%E2%80%9D%20tab.-,Material%20and%20Section%20Effective%20Stiffness%20Factors%C2%A0,-%E2%80%9CElasticity%C2%A0Modulus%E2%80%9D%2C%20%22Axial\" rel=\"noopener noreferrer\">Materials and Section Effective Stiffness Factors<\/a>.<\/span><\/span>\n    <\/div>\n<p><\/span>\n  <\/div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;Referring to eq 5.26, if we assume theta-ef is around 1.5 then the suggested approximate stiffness adjustment can be calculated:<\/span><\/span><\/p>\n<\/p><\/div>\n<div style=\"font-size: 14px\">\n<p style=\"margin: 0px 0px 10px 8pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">\u2022 Kc = 0.3 \/ (1 + 0.5*theta-ef) = approx 0.175<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;For the beams adjustments must be made to allow for creep and cracking &#8211; assume:<\/span><\/span><\/p>\n<ul style=\"margin-top: 0px;margin-bottom: 10px;padding-top: 6px;padding-bottom: 6px\">\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">I-cracked = 0.5 I-conc<\/span><\/span><\/li>\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">(eqn5.25) Ecd-eff = Ecd \/ (1 + theta-ef) = Ecd \/ 2.5<\/span><\/span><\/li>\n<li style=\"padding-top: 6px;padding-bottom: 6px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Therefore total adjustment to EI = 0.5\/2.5 = 0.2.<\/span><\/span><\/li>\n<\/ul>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Overall it seems that initial adjustments might be as low as 0.15 to 0.2 EI for all members. To put this in perspective consider the slightly more concise advice given in the ACI. ACI suggests reducing stiffness (EI) by a factor of 0.35 (or 0.7 if the members can be shown to be uncracked). It is also noted that the 0.35 factor should be further reduced if sustained lateral loads are applied, it seems logical that notional loads should be regarded as sustained lateral loads. Therefore, a 0.2 adjustment factor may prove to be a little over conservative, but it is not wildly different to the ACI advice.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Consider also that ACI classifies a building as sway sensitive when Q &gt; 5% while EC2 allows this to increase to 10% &#8211; therefore, if the EC2 adjustment factor is around 0.175 compared to ACI factor of 0.35, then the classifications of the buildings would be almost identical.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/p>\n<h2 class=\"toc_anchors\" id=\"ACI_Classification_for_comparison\" style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\">ACI Classification (for comparison)<\/span><br \/><\/h2>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In <a target=\"_blank\" href=\"https:\/\/support.protasoftware.com\/portal\/en\/kb\/articles\/model-options#Model:~:text=Model%E2%80%9D%20tab.-,Material%20and%20Section%20Effective%20Stiffness%20Factors%C2%A0,-%E2%80%9CElasticity%C2%A0Modulus%E2%80%9D%2C%20%22Axial\" rel=\"noopener noreferrer\">Effective Material and Section Stiffness Factors<\/a>, the Bending Stiffness of all members are adjusted to 0.35 before analysis as discussed above. <\/span><\/span><\/p>\n<\/p><\/div>\n<div style=\"font-size: 14px\">\n<p style=\"margin: 0px 0px 10px 1pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">The report shows the structure is classified as sway-sensitive at all but the lowest floor level.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px 1pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><img decoding=\"async\" data-zdeskdocselectedclass=\"\" data-zdeskdocid=\"img_8116104570470029\" class=\"docsimage\" style=\"padding: 0px;max-width: 100%;width: 645px;height: auto\" src=\"https:\/\/desk.zoho.com\/DocsDisplay?zgId=672206093&amp;mode=inline&amp;blockId=m6m5qe014d93bdc2f461c915c274468556d72\"><\/p>\n<p style=\"margin: 0px 0px 10px 1pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In the ACI only 5% second order effects are assumed to be ignorable. Q is the measure of this and at this point it is interesting to note that although Q is only marginally smaller than 0.05 at the lowest level, it becomes quite significantly greater at the top level.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px 1pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In fact, if we reduce this to a 4 storey building then the report below shows that the structure is still classified as sway-sensitive at the upper levels.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<img decoding=\"async\" data-zdeskdocselectedclass=\"\" data-zdeskdocid=\"img_6193233533984797\" class=\"docsimage\" style=\"padding: 0px;max-width: 100%;width: 643.875px;height: auto\" src=\"https:\/\/desk.zoho.com\/DocsDisplay?zgId=672206093&amp;mode=inline&amp;blockId=m6m5q2655a4e70ee74ff09d9f1e6c4c136307\"><\/span><\/span><\/p>\n<div>\n   <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-a2adeca9e39498a6f88e2c8333b8056c.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Notes\"><\/p>\n<div>\n     <span class=\"colour\"><span class=\"size\" style=\"font-size: 16px;line-height: normal\">As shown above, P-Delta effects can be proportionally higher at upper levels.<\/span><\/span>\n    <\/div>\n<p><\/span>\n  <\/div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/p>\n<\/p><\/div>\n<div style=\"font-size: 14px\">\n<h2 class=\"toc_anchors\" id=\"EC2_Classification_to_Annex_H\" style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\">EC2 Classification to Annex H<\/span><br \/><\/h2>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Based on the discussion in&nbsp;<\/span><\/span><u><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Model Analysis Properties<\/span><\/span><\/u><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">, <\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In <\/span><b><span class=\"colour\">Effective Material and Section Stiffness Factors<\/span><\/b><span class=\"colour\">, the Bending Stiffness of all members are adjusted to 0.17<\/span><\/span><span class=\"colour\">. Note that although we are using 0.17, you may decide on a higher or lower value based on your engineering judgement.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">The report shows that the 5 storey structure is classified as sway-sensitive at all floor levels.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<img decoding=\"async\" data-zdeskdocselectedclass=\"\" data-zdeskdocid=\"img_5851500357920572\" class=\"docsimage\" style=\"padding: 0px;max-width: 100%;width: 634.875px;height: auto\" src=\"https:\/\/desk.zoho.com\/DocsDisplay?zgId=672206093&amp;mode=inline&amp;blockId=m6m5q105c8e8ae55349a7921ded26d3b148ca\"><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\">&nbsp;<\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In EC2 10% second order effects are assumed to be ignorable. Q is the measure of this and so the actual check is that if Q &gt; 0.1 then the classification is sway-sensitive. For the figures above we can see this is true at all levels.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">It is noted that although Q is only marginally greater than 0.1 at the lowest level, it becomes quite significantly greater at the top level.In fact, if we reduce this to a 4 storey building then the report below shows that although Q becomes less that 0.1 at the lowest level, the structure is still classified as sway-sensitive at the upper levels.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\">&nbsp;<\/span><\/p>\n<\/p><\/div>\n<div style=\"font-size: 14px\">\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><img decoding=\"async\" data-zdeskdocselectedclass=\"\" data-zdeskdocid=\"img_08210842144665209\" class=\"docsimage\" style=\"padding: 0px;max-width: 100%;width: 663px;height: auto\" src=\"https:\/\/desk.zoho.com\/DocsDisplay?zgId=672206093&amp;mode=inline&amp;blockId=m6m5q18531ad5f54c4e5fa6e2f00550af1d3c\"><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\">&nbsp;<\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Although the reduced section properties together with the increased ignorable P-Delta amplification limit means that the threshold for sway-sensitive\/non-sway classification is very similar for the two codes, the amplification factors that apply to buildings that are classed sway sensitive are bigger (double) for EC2.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">EC2 does not seem to recognise the concept that a building can have different sway sensitivity at different levels, a single classification and amplification factor is applied to the whole building. This requirement is catered for in the report by including an extra line for \u2018All\u2018 storeys. In the above 4 storey example the Q value calculated for \u201cAll\u201d storeys is 0.1497 (therefore sway sensitive).<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Total deflection = 5.99mm<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Total Axial Load (F-V.Ed)= 30349<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Total Shear Load (F-H.Ed)= 101.2<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Total height = 12m<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Q = 1.5 (30349 * 0.00599) \/ (101.2 *12) = 0.1497 &gt; 0.1 (therefore sway sensitive).<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\">&nbsp;<\/span><\/p>\n<h2 class=\"toc_anchors\" id=\"Application_of_Load_Amplification_Factors\" style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\">Application of Load Amplification Factors<\/span><br \/><\/h2>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Provided the model is classified as non-sway no further adjustments are required &#8211; the member design is performed using the existing load combinations and factors.<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">If (as in this case) the model is classified as sway-sensitive, the second-order effects must be accounted for in the design. As previously stated, the code provides two options for achieving this:<\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px 8pt;line-height: 20px\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">\u2022 Annex H &#8211; Application of increased horizontal force (automatically adopted in ProtaStructure)<\/span><\/span><\/p>\n<\/p><\/div>\n<p style=\"margin: 0px 0px 10px 8pt;line-height: 20px\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">\u2022 Do a P-Delta Analysis&nbsp; (option available in ProtaStructure). <\/span><\/span><br \/><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In ProtaStructure the former approach is adopted &#8211; when the model is classified as sway-sensitive a load amplification factor is automatically applied to the existing design load combinations. <\/span><\/span><\/span><\/p>\n<div>\n  <span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">The option to perform P-Delta Analysis is also available in the <a href=\"https:\/\/support.protasoftware.com\/portal\/en\/kb\/articles\/load-combinations\" target=\"_blank\" rel=\"noopener noreferrer\">Load Combination Editor<\/a><b>.<\/b><\/span><\/span><\/span>\n <\/div>\n<div>\n  <span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">The amplification factor, Delta-s, is calculated from the Q value for \u201cAll\u201d storeys as follows:<\/span><\/span><br \/><\/span>\n <\/div>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Delta-s = F<\/span><\/span><span style=\"font-size: 10.5px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">H,Ed<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;\/ F<\/span><\/span><span style=\"font-size: 10.5px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">H,0Ed<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;= 1 \/ (1-Q)<\/span><\/span><br \/><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">In the original 5 storey example Q = 0.271. Hence the amplification factor displayed on the Horizontal Drift Classification Report is<\/span><\/span><br \/><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">1\/(1-0.271) = 1.372.<\/span><\/span><br \/><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 14px\" class=\"size\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">It is possible to over-ride this value if required and enter an amplification factor based on your own engineering judgement. To do this, re-display the Building Parameters, then from the Lateral Drift tab check the box to apply the \u2018User-defined\u2019 Sway Amplification Coefficient. You can then over-ride the automatically calculated value in one or both directions.<\/span><\/span><span class=\"colour\"><br \/><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span class=\"colour\"><span style=\"font-size: 14px\" class=\"size\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-12e7e9ff1e0f1b46b0675c6de918fb15.png\" style=\"max-width: 100%;height: auto;padding: 0\"><br \/><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 10px;line-height: 20px\"><span style=\"font-size: 16px;line-height: normal\" class=\"size\">If you have applied user-defined sway amplification co-efficients, it is not necessary to re-analyse the building before the members are designed.<\/span><\/p>\n<h2 class=\"toc_anchors\" id=\"Should_additional_slenderness_moment_BritishEC_or_moment_magnification_ACI_be_ignored_if_ProtaStructure_P-Delta_Analysis_is_performed\">Should additional slenderness moment (British\/EC) or moment magnification (ACI) be ignored if ProtaStructure P-Delta Analysis is performed?<br \/><\/h2>\n<\/div>\n<div>\n <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-a103a55eeda6cc147c284263600d32d6.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Info\"><\/p>\n<div>\n<div>\n    <b><span style=\"font-size: 18px;line-height: normal\" class=\"size\">Should additional slenderness moment (British\/EC) or moment magnification (ACI) be ignored if ProtaStructure P-Delta Analysis is performed?<\/span><\/b>\n   <\/div>\n<div>\n    \n   <\/div>\n<\/p><\/div>\n<div>\n   <span><span style=\"font-size: 16px;line-height: normal\" class=\"size\">With reference to :&nbsp;&nbsp;<\/span><\/span><a target=\"_blank\" href=\"https:\/\/support.protasoftware.com\/portal\/en\/kb\/articles\/load-combinations#P-Delta_Analysis\" rel=\"noopener noreferrer\"><span class=\"highlight\"><span style=\"font-size: 16px;line-height: normal\" class=\"size\">Load Combination &gt; P-Delta Analysis<\/span><\/span><\/a><span><span style=\"font-size: 16px;line-height: normal\" class=\"size\">&nbsp;, ProtaStructure P-delta analysis takes into account <\/span><b><span style=\"font-size: 16px;line-height: normal\" class=\"size\">P-Small Delta <\/span><\/b><span style=\"font-size: 16px;line-height: normal\" class=\"size\">only, not the <\/span><b><span style=\"font-size: 16px;line-height: normal\" class=\"size\">P-Big Delta<\/span><\/b><span style=\"font-size: 16px;line-height: normal\" class=\"size\">.&nbsp;<\/span><\/span><span style=\"font-size: 16px;line-height: normal\" class=\"size\"><br \/><\/span>\n  <\/div>\n<div>\n   <span><span style=\"font-size: 16px;line-height: normal\" class=\"size\">Besides, it does provide any information on the level of actual load vs P-Critical (Buckling limit).&nbsp;<\/span><\/span><span style=\"font-size: 16px;line-height: normal\" class=\"size\"><br \/><\/span>\n  <\/div>\n<div>\n   <span style=\"font-size: 16px;line-height: normal\" class=\"size\">To be on the safe side, we would recommend you do not ignore addition slenderness moment \/ moment magnification . At the very least, it gives users valuable information on how slender and how heavily loaded the columns are. Hence, by default, these are not ignored even if P-delta Analysis is performed.&nbsp;<br \/><\/span>\n  <\/div>\n<div>\n<p class=\"MsoNormal\"><span style=\"font-size: 16px\"><span style=\"font-size: 16px;line-height: normal\" class=\"size\">In the end, it&#8217;s entirely up the the engineer&#8217;s decision. If you want to disregard slenderness&nbsp;\/ magnification&nbsp;moment, you can manually overwrite the auto-calculated values by:<\/span><\/span><span style=\"font-size: 16px;line-height: normal\" class=\"size\"><br \/><\/span><\/p>\n<div>\n    <span style=\"font-size: 16px\"><\/span><span><span style=\"font-size: 16px;line-height: normal\" class=\"size\">In the individual <\/span><\/span><i><span style=\"font-size: 16px;line-height: normal\" class=\"size\">Column Reinforcement (Interactive) Design<\/span><\/i><span><span style=\"font-size: 16px;line-height: normal\" class=\"size\"> dialog, go to &#8220;Slenderness tab&#8221;<\/span><\/span>\n   <\/div>\n<ol>\n<li style=\"list-style-type: disc\">For British &amp; EuroCode :&nbsp;<\/li>\n<ol>\n<li style=\"list-style-type: disc\">Check &#8220;Edited&#8221; next to <b>Effective Length Factors<\/b><\/li>\n<li style=\"list-style-type: disc\">Change \/ decrease the factors manually (usually 1.0 or less will result in zero additional slenderness moment)<\/li>\n<\/ol>\n<li style=\"list-style-type: disc\"><span>For ACI based code :<\/span><\/li>\n<ol>\n<li style=\"list-style-type: disc\">Change the <b>Moment Magnification Factor<\/b> to 1.0 in both direction<\/li>\n<\/ol>\n<li style=\"list-style-type: disc\">Click &#8220;Interactive Design&#8221; to update the final design forces&nbsp; &amp; automatically re-design the column<\/li>\n<li style=\"list-style-type: disc\">Go to <i>Slenderness<\/i> tab again &amp; check to ensure the manually edited values are retained.<\/li>\n<\/ol><\/div>\n<p><\/span>\n<\/div>\n<div>\n<div>\n<div>\n   <span>&nbsp;<\/span>\n  <\/div>\n<p>&nbsp;<\/p>\n<div>\n   \n  <\/div>\n<\/p><\/div>\n<\/div>\n<div>\n \n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Automatic Assessment of Sway Sensitivity Sway sensitivity is automatically determined in&nbsp;ProtaStructure&nbsp;when the design code is set to EC2. For other codes as discussed below, an&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"template":"","meta":{"_whitepaper_youtube_videos":"","_whitepaper_youtube_url":"","_whitepaper_youtube_thumbnail":"","footnotes":""},"categories":[174],"whitepaper_topic":[],"whitepaper_product":[],"whitepaper_type":[],"class_list":["post-32666","wiki","type-wiki","status-publish","hentry","category-building-analysis"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.9 (Yoast SEO v27.9) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Sway Sensitivity Second Order Effects - Prota Software<\/title>\n<meta name=\"description\" content=\"Automatic Assessment of Sway Sensitivity Sway sensitivity is automatically determined in&nbsp;ProtaStructure&nbsp;when the design code is set to EC2. 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