{"id":343,"date":"2017-10-31T17:02:05","date_gmt":"2017-10-31T17:02:05","guid":{"rendered":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/?post_type=ht_kb&#038;p=343"},"modified":"2017-10-31T17:47:04","modified_gmt":"2017-10-31T17:47:04","slug":"channel-sections","status":"publish","type":"ht_kb","link":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/knowledge-base\/channel-sections\/","title":{"rendered":"Channel Sections"},"content":{"rendered":"<p>Culvert Studio computes various parameters for a wide variety of channel shapes. In all cases, steady flow is assumed and thus normal depth is assumed. Manning\u2019s equation is used exclusively. When a known Q is specified it solves for the depth using an iterative procedure.<\/p>\n<p><strong>Manning&#8217;s Equation<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-344\" src=\"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqMannings.jpg\" alt=\"\" width=\"173\" height=\"60\" srcset=\"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqMannings.jpg 173w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqMannings-50x17.jpg 50w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqMannings-60x21.jpg 60w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqMannings-100x35.jpg 100w\" sizes=\"auto, (max-width: 173px) 100vw, 173px\" \/><\/p>\n<p>Where:<\/p>\n<p>Q = flow rate in cfs<br \/>\nn = roughness coefficient<br \/>\nA = cross-sectional area in sqft<br \/>\nR = hydraulic radius = A \/ WP<br \/>\nS = channel slope in ft\/ft<\/p>\n<p><strong>Composite Manning\u2019s n<\/strong><br \/>\nWith user-defined sections that have varying n values, Culvert Studio uses the following Horton-Einstein equation to first compute a composite roughness coefficient. Then it employs Manning\u2019s equation as described above.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-311\" src=\"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCompNv.jpg\" alt=\"\" width=\"179\" height=\"131\" srcset=\"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCompNv.jpg 179w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCompNv-50x37.jpg 50w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCompNv-60x44.jpg 60w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCompNv-100x73.jpg 100w\" sizes=\"auto, (max-width: 179px) 100vw, 179px\" \/><\/p>\n<p>Where:<br \/>\nnc = composite n-value<br \/>\nPi = wetted perimeter of subdivision i<br \/>\nni = n-value for subdivision i<br \/>\np = total wetted perimeter of channel<\/p>\n<p><strong>Critical Depth<\/strong><br \/>\nYc, or critical depth is computed using the following equation along with an iterative procedure:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-345\" src=\"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCriticalDepth.jpg\" alt=\"\" width=\"120\" height=\"80\" srcset=\"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCriticalDepth.jpg 120w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCriticalDepth-50x33.jpg 50w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCriticalDepth-60x40.jpg 60w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/EqCriticalDepth-100x67.jpg 100w\" sizes=\"auto, (max-width: 120px) 100vw, 120px\" \/><\/p>\n<p>Where:<\/p>\n<p>Q = flow rate<br \/>\nA = cross-sectional area<br \/>\nT = top width<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-349\" src=\"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/TrapezoidalChannel-1.jpg\" alt=\"\" width=\"860\" height=\"391\" srcset=\"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/TrapezoidalChannel-1.jpg 860w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/TrapezoidalChannel-1-300x136.jpg 300w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/TrapezoidalChannel-1-768x349.jpg 768w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/TrapezoidalChannel-1-50x23.jpg 50w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/TrapezoidalChannel-1-60x27.jpg 60w, https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-content\/uploads\/sites\/4\/2017\/10\/TrapezoidalChannel-1-100x45.jpg 100w\" sizes=\"auto, (max-width: 860px) 100vw, 860px\" \/><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Culvert Studio computes various parameters for a wide variety of channel shapes. In all cases, steady flow is assumed and thus normal depth is assumed. Manning\u2019s equation is used exclusively. When a known Q is specified it solves for the depth using an iterative procedure. Manning&#8217;s Equation Where: Q =&#8230;<\/p>\n","protected":false},"author":1,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":{"footnotes":""},"ht-kb-category":[20],"ht-kb-tag":[],"class_list":["post-343","ht_kb","type-ht_kb","status-publish","format-standard","hentry","ht_kb_category-computational-methods"],"_links":{"self":[{"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/ht-kb\/343","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/comments?post=343"}],"version-history":[{"count":2,"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/ht-kb\/343\/revisions"}],"predecessor-version":[{"id":351,"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/ht-kb\/343\/revisions\/351"}],"wp:attachment":[{"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/media?parent=343"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/ht-kb-category?post=343"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/learn.hydrologystudio.com\/culvert-studio\/wp-json\/wp\/v2\/ht-kb-tag?post=343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}