{"id":1460,"date":"2021-05-12T06:30:15","date_gmt":"2021-05-12T06:30:15","guid":{"rendered":"http:\/\/quakeadvice.org\/?page_id=1460"},"modified":"2022-09-16T02:28:42","modified_gmt":"2022-09-16T02:28:42","slug":"program-au3a","status":"publish","type":"page","link":"https:\/\/quakeadvice.org\/index.php\/code-seismic-design\/australia\/program-au3a\/","title":{"rendered":"Program AU3a &#8211; AS3600 ductile design tools: RC column"},"content":{"rendered":"\n\n\t<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n    <meta charset=\"UTF-8\"\/>\n    <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\"\/>\n    <style>\n\t.page-break {\n\t\t\tpage-break-after: always;\n\t\t\tpage-break-inside: avoid;\n\t\t\tclear:both;\n\t\t}\n\t\t.page-break-before {\n\t\t\tpage-break-before: always;\n\t\t\tpage-break-inside: avoid;\n\t\t\tclear:both;\n    }\n    .sticky-col {\n      position: sticky;\n    position: -webkit-sticky;    \n    background-color: white;\n    left: 0px;\n   }\n  .fixedrow {\n      position: sticky;\n    position: -webkit-sticky;    \n    background-color: white;\n    top: 0px;\n    text-align: center;\n  }\n  .fixedrow1 {\n      position: sticky;\n    position: -webkit-sticky;    \n    background-color: white;\n    top: 30px;\n    text-align: center;\n  }\n  .pagesetup2 {\n    width: 1055px;\n  }\n  .btn {\n  background-color: DodgerBlue;\n  border: none;\n  color: white;\n  width:260px; \n  height:35px;\n  cursor: pointer;\n  font-size: 12px;\n }\n .btn101 {\n  background-color:grey;\n  border: none;\n  color: black;\n  height:35px;\n  cursor: pointer;\n  font-size: 12px;\n }\n\/* Darker background on mouse-over *\/\n.btn:hover {\n  background-color: RoyalBlue;\n}\n.btn101:hover {\n  background-color:darkslategrey;\n  color: white;\n}\na.abutton {\n    -webkit-appearance: button;\n    -moz-appearance: button;\n    appearance: button;\n    text-decoration: none;\n    color: initial;\n}\ntable {\n  border-collapse: collapse;\n }\n button.capitalize {\n  text-transform: capitalize;\n}\n\/* for tier 3 *\/\n* {\n  box-sizing: border-box;\n}\n\/* Create two equal columns that floats next to each other *\/\n.column {\n  float: left;\n  padding: 10px;\n }\n\/* Clear floats after the columns *\/\n.row:after {\n  content: \"\";\n  display: table;\n  clear: both;\n}\n<\/style>  \n    <link rel=\"stylesheet\" href=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/skeleton\/2.0.4\/skeleton.min.css\"\/>\n    <link rel=\"stylesheet\" href=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/font-awesome\/4.7.0\/css\/font-awesome.min.css\"\/>\n    <title>Confinement Design and Detailing of RC Column<\/title>\n <\/head>\n<body>\n  <b><u>Confinement Design and Detailing of RC Column<\/u><\/b>\n   <iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/GxtVdtmNUG8\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n <br \/>\n <p><b>1. Input Parameters<\/b><\/p>\n    <table id=\"table2\">\n<tr><td><b>Depth, D<sub>c<\/sub> (mm) [Larger Cross-Section Dimension]:<\/b><\/td>\n    <td><input type=\"text\" id=\"Dc\"\/><\/td> \n   <\/tr>\n  <tr><td><b>Width, B<sub>c<\/sub> (mm) [Smaller Cross-Section Dimension]:<\/b><\/td>\n    <td><input type=\"text\" id=\"Bc\"\/><\/td> \n   <\/tr>\n                <tr>\n                  <td><b>Concrete Clear Cover (c):<\/b><\/td>\n                  <td><select name=\"concrete cover\" id=\"cover\">\n                    <option value=\"25\">25 mm<\/option>\n                    <option value=\"20\">20 mm<\/option>\n                    <option value=\"30\">30 mm<\/option>\n                    <option value=\"35\">35 mm<\/option>\n                    <option value=\"40\">40 mm<\/option>\n                    <option value=\"45\">45 mm<\/option>\n                    <option value=\"50\">50 mm<\/option>\n                    <\/select><\/td> \n                 <\/tr>\n                 <td><b>Characteristic Compressive Strength (f&#8217;<sub>c<\/sub>):<\/b><\/td>\n                  <td><select name=\"compressive strength\" id=\"strength\">\n                    <option value=\"40\">40 MPa<\/option>\n                    <option value=\"32\">32 MPa<\/option>\n                    <option value=\"50\">50 MPa<\/option>\n                    <option value=\"65\">65 MPa<\/option>\n                    <option value=\"80\">80 MPa<\/option>\n                    <\/select><\/td> \n                 \n                 <tr><td><b>Number of Vertical Reinforcement along Width (n<sub>b<\/sub>):<\/b><\/td>\n                   <td><select name=\"nthickness\" id=\"nb\">\n                    <option value=\"0\">Default<\/option>\n                    <option value=\"2\">2<\/option>\n                    <option value=\"3\">3<\/option>\n                    <option value=\"4\">4<\/option>\n                    <option value=\"5\">5<\/option>\n                    <\/select><\/td>\n    <\/tr>\n                 <tr>\n                  <td><b>Diameter of Vertical Reinforcements (d<sub>v<\/sub>):<\/b><\/td>\n                  <td><select name=\"mainbar diameter\" id=\"mainbar-diameter\">\n                    <option value=\"24\">24 mm<\/option>\n                    <option value=\"16\">16 mm<\/option>\n                    <option value=\"20\">20 mm<\/option>\n                    <option value=\"28\">28 mm<\/option>\n                    <option value=\"32\">32 mm<\/option>\n                    <option value=\"36\">36 mm<\/option>\n                    <\/select><\/td> \n                 <\/tr> \n                 <tr>\n                  <td><b>Diameter of Stirrups (d<sub>s<\/sub>):<\/b><\/td>\n                  <td><select name=\"stirrups diameter\" id=\"stirrups-diameter\">\n                    <option value=\"12\">12 mm<\/option>\n                    <option value=\"10\">10 mm<\/option>\n                    <option value=\"16\">16 mm<\/option>\n                    <option value=\"20\">20 mm<\/option>\n                    <\/select><\/td> \n                 <\/tr>\n                   <tr><td><b>Vertical Reinforcement Ratio (Pv \u2265 0.01):<\/b><\/td>\n    <td><input type=\"text\" id=\"perVert\"\/><\/td> \n    <\/tr> \n                 <tr>\n                  <td><b>Design Axial Force (N*) in kN:<\/b><\/td>\n                  <td><input type=\"text\" id=\"axialforce\"\/><\/td> \n                  <\/tr> \n                  <tr>\n                    <td><b>Design Moment (M*) in kNm (at least 0.05N*xD<sub>c<\/sub>):<\/b><\/td>\n                    <td><input type=\"text\" id=\"designmoment\"\/><\/td> \n                    <\/tr>\n               <tr>\n               <\/tr><tr>\n                    <td><b>Moment Magnifier to include Slenderness (\ud835\udeff<sub>b<\/sub>):<\/b><\/td>\n                    <td><input type=\"text\" id=\"magnifier\" placeholder=\"default\"\/><\/td> \n                    <\/tr>\n               <tr>\n                    <td><b>Clear Length of the Column, L<sub>u<\/sub> (mm):<\/b><\/td>\n                    <td><input type=\"text\" id=\"lcl\"\/><\/td> \n                   <\/tr> \n  <\/table> \n <!div hide1 close>\n <button type=\"button\" id=\"stirrupdesign\"><b>Get Confinement Design<\/b><\/button>\n<br \/>\n<!The following is purely for report, the section above this line will be hidden and the content below will be shown in the report>\n<table id=\"noconfinement\" cellpadding=\"0\" cellspacing=\"0;\" margin=\"0px;\"><thead id=\"set-first20\"><\/thead><\/table>\n  <br \/><p><b>Table 1: Summary of input parameters.<\/b><\/p>\n  <table id=\"inputsummary\" cellpadding=\"0\" cellspacing=\"0;\" margin=\"0px;\"><tbody id=\"set-val1\"><\/tbody><\/table>\n  <!div show3 close> \n    <b>Figure 1. Diagram of design moment vs design axial load of the column.<\/b>\n   <h1 style='page-break-before: always;'><\/h1> \n    <!second page break>\n    <td><b>2. Results<\/b><\/td><br \/>\n<td><b>I. Confinement Design<\/b><\/td>\n <br \/>The confinement demand (f<sub>r,demand<\/sub>), and capacity or effective confining pressure (f<sub>r.eff<\/sub>) are determined from Equation 1 and Equations 2-6, respectively, following Cl.10.7.3 of AS3600:2018. \n The confinement parameters used in these equations are shown in Figure 2.  The stirrups spacing in the special \n confinement region is determined as follows:\n<br \/> a). For Lu > 5D, spacing = min [0.6b, 15dv, 300, spacing corresponding to f<sub>r,demand<\/sub> \u2265 0.01f&#8217;c]; \n<br \/> b). For Lu &#8804; 5D, spacing = min [0.5b, 8dv, 24ds, 300, spacing corresponding to f<sub>r,demand<\/sub> \u2265 0.01f&#8217;c].\n <br \/>Where, &#8216;Lu&#8217; is the unsupported\/clear length of the column; and &#8216;D&#8217; is the overall depth of the cross-section in the plane of bending. \n <img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/quakeadvice.org\/wp-content\/uploads\/2021\/01\/Figure1.png?w=600\"\/>\n<b>Figure 2. Confined concrete area for column.<\/b>\n  $$ {fr_{demand} = 0.01f&#8217;_{c}}tag{1}$$ \n  $$ {b_{c} = B &#8211; 2c &#8211; d_{s}}tag{2}$$\n  $$ {d_{c} = D &#8211; 2c &#8211; d_{s}}tag{3}$$\n  $$ {k_{e} =(1-frac{nw^2}{6A_{c}})(1-frac{s}{2b_{c}})(1-frac{s}{2d_{c}})}tag{4}$$ \n   $$ {f_{r} =frac{min(n_{b},n_{d}) times A_{b,fit} times f_{sy,f}}{d_{s} times s}}tag{5}$$ \n  $$ {f_{r.eff} =k_{e} times f_{r}}tag{6}$$\n<br \/>\nWhere,<br \/>\n&#8216;<i>k<sub>e<\/sub><\/i>&#8216; is an effectiveness factors accounting for the arrangement of the fitments,<br \/>\n&#8216;<i>f<sub>r<\/sub><\/i>&#8216; is an average confining pressure on the core cross-section taken at the level of the fitments,<br \/>\n&#8216;<i>b<sub>c<\/sub><\/i>&#8216; and &#8216;<i>d<sub>c<\/sub><\/i>&#8216; are core dimension measured between the centre-lines of the outermost fitments, <br \/> \n&#8216;<i>A<sub>b.fit<\/sub><\/i>&#8216; is the cross-sectional area of one leg of the fitment, <br \/>\n&#8216;<i>n<\/i>&#8216; is the number of laterally restrained longitudinal bars, <br \/>\n&#8216;<i>n<sub>b<\/sub><\/i>&#8216; and &#8216;<i>n<sub>d<\/sub><\/i>&#8216; are the number of fitment legs crossing each confinement plane, <br \/>\n&#8216;<i>w<\/i>&#8216; is average clear spacing between adjacent restrained longitudinal bars,<br \/>\n&#8216;<i>f<sub>r.eff<\/sub><\/i>&#8216; is the effective confining pressure.\n<h1 style='page-break-before: always;'><\/h1> \n  <!4th page break>\n    <b>Figure 3. Cross-section of the column showing details of the vertical reinforcements and stirrups.<\/b> <br \/>\n    <br \/><td><b>Table 2: Comparison of the confinement capacity (optimal solution) and demand (0.01f&#8217;c).<\/b><\/td>\n    <table id=\"resultsummary\" cellpadding=\"0\" cellspacing=\"0;\" margin=\"0px;\"><thead id=\"set-first\"><\/thead><tbody id=\"set-val\"><\/tbody><tbody id=\"set-val01\"><\/tbody><tbody id=\"set-val0001\"><\/tbody><\/table> \n    <h1 style='page-break-before: always;'><\/h1> \n      <!4th page break>\n <b>II. Length of confinement\/critical region:<\/b>\n  $$ {l_{cr} = max(1.2D, L_{cl}\/6})tag{7}$$\n  The largest cross-sectional dimension of the column <i>&#8216;h<sub>c<\/sub>&#8216;<\/i>, and the clear length of the column <i>&#8216;l<sub>cl<\/sub>&#8216;<\/i> are defined in the input section.\n  <table id=\"hcr\" cellpadding=\"0\" cellspacing=\"0;\" margin=\"0px;\"><thead id=\"hcr_column\"><\/thead><\/table>\n  <img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/quakeadvice.org\/wp-content\/uploads\/2021\/01\/Figure3.png?w=600\"\/>\n  <b>Figure 4. Elevational view of the column.<\/b>\n  <br \/>\n <td><b>3. References:<\/b><\/td>\n <ol>\n  <li>Standards Australia (2018). <i>AS 3600:2018 Concrete structures.<\/i><\/li>\n  <\/ol>\n   <td><b>Disclaimer: &#8220;The authors assume no responsibility for any injury, damage, liability, negligence and\/or otherwise to any individual or property from the use or application of any of the methods, products, instructions, or ideas contained in the material herein.&#8221;<\/b>\n  <br \/>\n    <br \/><br \/>\n    <button id=\"reportpdf\" onclick=\"generatePDF();\"> Download\/Print Report<\/button>\n<!hide3 div close>\n<!show1 div close>\n<!container div close>\n<!--  -->\n<\/td><\/body>\n<\/html>\n\n","protected":false},"excerpt":{"rendered":"<p>Confinement Design and Detailing of RC Column Confinement Design and Detailing of RC Column 1. Input Parameters Depth, Dc (mm) [Larger Cross-Section Dimension]: Width, Bc (mm) [Smaller Cross-Section Dimension]: Concrete Clear Cover (c): 25 mm20 mm30 mm35 mm40 mm45 mm50 mm Characteristic Compressive Strength (f&#8217;c): 40 MPa32 MPa50 MPa65 MPa80 MPa Number of Vertical Reinforcement &hellip; <a href=\"https:\/\/quakeadvice.org\/index.php\/code-seismic-design\/australia\/program-au3a\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1257,"menu_order":23,"comment_status":"closed","ping_status":"closed","template":"template-full-width.php","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-1460","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/quakeadvice.org\/index.php\/wp-json\/wp\/v2\/pages\/1460","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quakeadvice.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/quakeadvice.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/quakeadvice.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/quakeadvice.org\/index.php\/wp-json\/wp\/v2\/comments?post=1460"}],"version-history":[{"count":11,"href":"https:\/\/quakeadvice.org\/index.php\/wp-json\/wp\/v2\/pages\/1460\/revisions"}],"predecessor-version":[{"id":1656,"href":"https:\/\/quakeadvice.org\/index.php\/wp-json\/wp\/v2\/pages\/1460\/revisions\/1656"}],"up":[{"embeddable":true,"href":"https:\/\/quakeadvice.org\/index.php\/wp-json\/wp\/v2\/pages\/1257"}],"wp:attachment":[{"href":"https:\/\/quakeadvice.org\/index.php\/wp-json\/wp\/v2\/media?parent=1460"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}