{"id":13,"date":"2026-05-30T18:11:41","date_gmt":"2026-05-30T16:11:41","guid":{"rendered":"https:\/\/student071.akademiata.edu.pl\/?page_id=13"},"modified":"2026-05-31T16:37:09","modified_gmt":"2026-05-31T14:37:09","slug":"klasy-betonu","status":"publish","type":"page","link":"https:\/\/student071.akademiata.edu.pl\/index.php\/konstrukcje-betonowe\/klasy-betonu\/","title":{"rendered":"Klasy Betonu"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Wytrzyma\u0142o\u015bci [MPa] i modu\u0142y spr\u0119\u017cysto\u015bci E<sub>cm<\/sub> [GPa] betonu wed\u0142ug PN-EN-1992<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table border=\"1\" style=\"width: 100%; border-collapse: collapse; text-align: center;\"><tbody><tr><td class=\"has-text-align-center\" style=\"background-color: #EBEBEB;\"><strong>Klasa betonu<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>C12\/15<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>C16\/20<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>C20\/25<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>C25\/30<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>C30\/37<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>C35\/45<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>C40\/50<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>C45\/55<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>C50\/60<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>f<sub>ck<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">12<\/td><td class=\"has-text-align-center\" data-align=\"center\">16<\/td><td class=\"has-text-align-center\" data-align=\"center\">20<\/td><td class=\"has-text-align-center\" data-align=\"center\">25<\/td><td class=\"has-text-align-center\" data-align=\"center\">30<\/td><td class=\"has-text-align-center\" data-align=\"center\">35<\/td><td class=\"has-text-align-center\" data-align=\"center\">40<\/td><td class=\"has-text-align-center\" data-align=\"center\">45<\/td><td class=\"has-text-align-center\" data-align=\"center\">50<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>f<sub>ck,cube<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">15<\/td><td class=\"has-text-align-center\" data-align=\"center\">20<\/td><td class=\"has-text-align-center\" data-align=\"center\">25<\/td><td class=\"has-text-align-center\" data-align=\"center\">30<\/td><td class=\"has-text-align-center\" data-align=\"center\">37<\/td><td class=\"has-text-align-center\" data-align=\"center\">45<\/td><td class=\"has-text-align-center\" data-align=\"center\">50<\/td><td class=\"has-text-align-center\" data-align=\"center\">55<\/td><td class=\"has-text-align-center\" data-align=\"center\">60<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>f<sub>cd<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">8,57<\/td><td class=\"has-text-align-center\" data-align=\"center\">11,43<\/td><td class=\"has-text-align-center\" data-align=\"center\">14,29<\/td><td class=\"has-text-align-center\" data-align=\"center\">17,86<\/td><td class=\"has-text-align-center\" data-align=\"center\">21,43<\/td><td class=\"has-text-align-center\" data-align=\"center\">25<\/td><td class=\"has-text-align-center\" data-align=\"center\">28,57<\/td><td class=\"has-text-align-center\" data-align=\"center\">32,14<\/td><td class=\"has-text-align-center\" data-align=\"center\">35,71<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>f<sub>cm<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">20<\/td><td class=\"has-text-align-center\" data-align=\"center\">24<\/td><td class=\"has-text-align-center\" data-align=\"center\">28<\/td><td class=\"has-text-align-center\" data-align=\"center\">33<\/td><td class=\"has-text-align-center\" data-align=\"center\">38<\/td><td class=\"has-text-align-center\" data-align=\"center\">43<\/td><td class=\"has-text-align-center\" data-align=\"center\">48<\/td><td class=\"has-text-align-center\" data-align=\"center\">53<\/td><td class=\"has-text-align-center\" data-align=\"center\">58<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>f<sub>ctm<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">1,6<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,9<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,2<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,6<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,9<\/td><td class=\"has-text-align-center\" data-align=\"center\">3,2<\/td><td class=\"has-text-align-center\" data-align=\"center\">3,5<\/td><td class=\"has-text-align-center\" data-align=\"center\">3,8<\/td><td class=\"has-text-align-center\" data-align=\"center\">4,1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>f<sub>ctk,0,05<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">1,1<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,3<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,5<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,8<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,0<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,2<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,5<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,7<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>f<sub>ctd<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">0,79<\/td><td class=\"has-text-align-center\" data-align=\"center\">0,93<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,07<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,29<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,43<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,57<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,76<\/td><td class=\"has-text-align-center\" data-align=\"center\">1,93<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,07<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>f<sub>ctk,0,95<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">2,0<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,5<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,9<\/td><td class=\"has-text-align-center\" data-align=\"center\">3,3<\/td><td class=\"has-text-align-center\" data-align=\"center\">3,8<\/td><td class=\"has-text-align-center\" data-align=\"center\">4,2<\/td><td class=\"has-text-align-center\" data-align=\"center\">4,6<\/td><td class=\"has-text-align-center\" data-align=\"center\">4,9<\/td><td class=\"has-text-align-center\" data-align=\"center\">5,3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" style=\"background-color: #EBEBEB;\"><strong>E<sub>cm<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">27<\/td><td class=\"has-text-align-center\" data-align=\"center\">29<\/td><td class=\"has-text-align-center\" data-align=\"center\">30<\/td><td class=\"has-text-align-center\" data-align=\"center\">31<\/td><td class=\"has-text-align-center\" data-align=\"center\">33<\/td><td class=\"has-text-align-center\" data-align=\"center\">34<\/td><td class=\"has-text-align-center\" data-align=\"center\">35<\/td><td class=\"has-text-align-center\" data-align=\"center\">36<\/td><td class=\"has-text-align-center\" data-align=\"center\">37<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Uwaga warto\u015bci obliczeniowe obliczone zak\u0142adaj\u0105c wsp\u00f3\u0142czynnik bezpiecze\u0144stwa betonu: 1,4.<br>Uwaga. Warto\u015bci E<sub>cm<\/sub>&nbsp;s\u0105 odpowiednie dla beton\u00f3w z kruszywem kwarcytowym. Dla kruszyw wapiennych nale\u017cy te warto\u015bci zmniejszy\u0107 o 10%, dla kruszyw piaskowych zmniejszy\u0107 o 30%, dla kruszyw bazaltowych o 20%.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-7387b849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<figure class=\"wp-block-table\"><table class=\"has-border-color has-color-6-border-color\"><tbody><tr><td>f<sub>ck<\/sub><\/td><td>charakterystyczna wytrzyma\u0142o\u015b\u0107 walcowa na \u015bciskanie<\/td><\/tr><tr><td>f<sub>ck,cube<\/sub><\/td><td>charakterystyczna wytrzyma\u0142o\u015b\u0107 kostkowa na \u015bciskanie<\/td><\/tr><tr><td>f<sub>cd<\/sub><\/td><td>obliczeniowa wytrzyma\u0142o\u015b\u0107 na \u015bciskanie<\/td><\/tr><tr><td>f<sub>ctm<\/sub><\/td><td>\u015brednia wytrzyma\u0142o\u015b\u0107 na rozci\u0105ganie<\/td><\/tr><tr><td>f<sub>ctk<\/sub><\/td><td>charakterystyczna wytrzyma\u0142o\u015b\u0107 na rozci\u0105ganie<\/td><\/tr><tr><td>f<sub>ctd<\/sub><\/td><td>obliczeniowa wytrzyma\u0142o\u015b\u0107 na rozci\u0105ganie<\/td><\/tr><tr><td>E<sub>cm<\/sub><\/td><td>modu\u0142 spr\u0119\u017cysto\u015bci betonu<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Wytrzyma\u0142o\u015bci [MPa] i modu\u0142y spr\u0119\u017cysto\u015bci Ecm [GPa] betonu wed\u0142ug PN-EN-1992 Klasa betonu C12\/15 C16\/20 C20\/25 C25\/30 C30\/37 C35\/45 C40\/50 C45\/55 C50\/60 fck 12 16 20 25 30 35 40 45 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":11,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-13","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/student071.akademiata.edu.pl\/index.php\/wp-json\/wp\/v2\/pages\/13","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/student071.akademiata.edu.pl\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/student071.akademiata.edu.pl\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/student071.akademiata.edu.pl\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/student071.akademiata.edu.pl\/index.php\/wp-json\/wp\/v2\/comments?post=13"}],"version-history":[{"count":4,"href":"https:\/\/student071.akademiata.edu.pl\/index.php\/wp-json\/wp\/v2\/pages\/13\/revisions"}],"predecessor-version":[{"id":71,"href":"https:\/\/student071.akademiata.edu.pl\/index.php\/wp-json\/wp\/v2\/pages\/13\/revisions\/71"}],"up":[{"embeddable":true,"href":"https:\/\/student071.akademiata.edu.pl\/index.php\/wp-json\/wp\/v2\/pages\/11"}],"wp:attachment":[{"href":"https:\/\/student071.akademiata.edu.pl\/index.php\/wp-json\/wp\/v2\/media?parent=13"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}