{"id":2656,"date":"2026-10-15T01:34:55","date_gmt":"2026-10-15T00:34:55","guid":{"rendered":"https:\/\/wpcalc.com\/pl\/inzynieria\/masa-pretow-zbrojeniowych\/"},"modified":"2026-10-15T01:34:55","modified_gmt":"2026-10-15T00:34:55","slug":"masa-pretow-zbrojeniowych","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pl\/inzynieria\/masa-pretow-zbrojeniowych\/","title":{"rendered":"Masa pr\u0119t\u00f3w zbrojeniowych"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Obliczanie masy stali zbrojeniowej<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"2656\" data-favorite-title=\"Masa pr\u0119t\u00f3w zbrojeniowych\" data-favorite-url=\"https:\/\/wpcalc.com\/pl\/inzynieria\/masa-pretow-zbrojeniowych\/\" data-favorite-excerpt=\"Oblicz mas\u0119 pr\u0119t\u00f3w zbrojeniowych na podstawie \u015brednicy, d\u0142ugo\u015bci, liczby sztuk i g\u0119sto\u015bci stali. masa jednego pr\u0119ta i masa ca\u0142kowita w kilogramach i funtach, a tak\u017ce kg\/m do szybkich sprawdze\u0144 na budowie.\" aria-label=\"Dodaj do ulubionych\" data-favorite-icon=\"icon icon-engineering\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/pl\/inzynieria\/masa-pretow-zbrojeniowych\/\" method=\"POST\" class=\"calculator\" id=\"calculator-2656\" data-post=\"2656\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Pola danych<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">\u015arednica pr\u0119ta (d)<\/label><div class=\"term\">d<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"rednica_prta_d\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"16\" min=\"0.1\" value=\"16\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"in\">in<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-1\">\u015arednica nominalna, np. 8, 10, 12, 16, 20, 25, 32 mm<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">D\u0142ugo\u015b\u0107 pr\u0119ta (L)<\/label><div class=\"term\">L<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"dugo_prta_l\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"12\" min=\"0.001\" value=\"12\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"m\" selected>m<\/option><option value=\"cm\">cm<\/option><option value=\"ft\">ft<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-3\">D\u0142ugo\u015b\u0107 jednego pr\u0119ta<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">Liczba pr\u0119t\u00f3w (n)<\/label><div class=\"term\">n<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"liczba_prtw_n\" id=\"field-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"10\" min=\"1\" value=\"10\"\/><small id=\"calc-info-5\">Liczba pr\u0119t\u00f3w o tej \u015brednicy<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-6\">G\u0119sto\u015b\u0107 stali (\u03c1)<\/label><div class=\"term\">\u03c1<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"gsto_stali_\" id=\"field-6\" aria-describedby=\"calc-info-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"7850\" min=\"1\" value=\"7850\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"kgm3\" selected>kg\/m\u00b3<\/option><option value=\"lbft3\">lb\/ft\u00b3<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-6\">7850 kg\/m\u00b3 (490 lb\/ft\u00b3) to warto\u015b\u0107 typowa dla stali zbrojeniowej<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Przelicz ponownie\" id=\"calculate-button\" data-post=\"2656\">Oblicz<\/button><button type=\"reset\">Wyczy\u015b\u0107<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Obliczaj automatycznie<\/label><small>Po w\u0142\u0105czeniu wynik aktualizuje si\u0119 automatycznie po zmianie dowolnej warto\u015bci.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Masa pr\u0119t\u00f3w zbrojeniowych<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Masa jednego pr\u0119ta<\/span><span class=\"result-term\">m\u2081<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Kopiuj wynik\" aria-label=\"Kopiuj wynik\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Masa ca\u0142kowita<\/span><span class=\"result-term\">M<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Kopiuj wynik\" aria-label=\"Kopiuj wynik\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>Wz\u00f3r i uwagi<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Kopiuj wynik\" aria-label=\"Kopiuj wynik\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Kopiuj link do tego obliczenia<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Zostaw komentarz<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"2656\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Jak oceniasz ten wynik?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Lubi\u0119 to <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Pomocne <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Niejasne <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Rozczarowanie <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Niedok\u0142adne <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Masa pr\u0119t\u00f3w zbrojeniowych<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Wz\u00f3r<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ m = \\frac{\\pi d^{2}}{4} \\times L \\times \\rho \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Gdzie:<\/strong><\/p>\n<ul>\n<li>\\(m\\) \u2014 masa jednego pr\u0119ta (kg)<\/li>\n<li>\\(d\\) \u2014 \u015brednica nominalna pr\u0119ta (m)<\/li>\n<li>\\(L\\) \u2014 d\u0142ugo\u015b\u0107 jednego pr\u0119ta (m)<\/li>\n<li>\\(\\rho\\) \u2014 g\u0119sto\u015b\u0107 stali, zwykle 7850 kg\/m\u00b3 (490 lb\/ft\u00b3)<\/li>\n<\/ul>\n<p>Masa ca\u0142kowita zam\u00f3wienia to po prostu masa jednego pr\u0119ta pomno\u017cona przez liczb\u0119 sztuk: \\( M = n \\times m \\). Wz\u00f3r wyznacza obj\u0119to\u015b\u0107 walca (pr\u0119ta) i mno\u017cy j\u0105 przez g\u0119sto\u015b\u0107 stali.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Masa pr\u0119t\u00f3w zbrojeniowych \u2013 przyk\u0142ad obliczenia<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Przyk\u0142ad:<\/strong> dostawa 10 pr\u0119t\u00f3w \u017cebrowanych o \u015brednicy nominalnej 16 mm i d\u0142ugo\u015bci 12 m ka\u017cdy. G\u0119sto\u015b\u0107 stali wynosi 7850 kg\/m\u00b3.<\/p>\n<p>\\[ m = \\frac{\\pi \\times 0.016^{2}}{4} \\times 12 \\times 7850 = 18.94 \\text{ kg} \\]<\/p>\n<p>\\[ M = 10 \\times 18.94 = 189.40 \\text{ kg} \\]<\/p>\n<p><strong>Wynik:<\/strong> jeden pr\u0119t wa\u017cy \u2248 18,94 kg (\u2248 41,75 lb), a masa ca\u0142kowita to \u2248 189,40 kg (\u2248 417,55 lb). Masa na metr bie\u017c\u0105cy wynosi \u2248 1,578 kg\/m, co zgadza si\u0119 z szybk\u0105 regu\u0142\u0105 budowlan\u0105 \\( d^{2}\/162 = 16^{2}\/162 \\approx 1.58 \\) kg\/m.<\/p>\n<p>\n\r\n<\/section>\n<h2>Jak korzysta\u0107 z kalkulatora<\/h2>\n<ol>\n<li>Wpisz <strong>\u015arednic\u0119 pr\u0119ta (d)<\/strong> i wybierz jednostk\u0119 \u2014 mm, cm lub in. Podaj \u015brednic\u0119 nominaln\u0105 (np. 8, 10, 12, 16, 20, 25, 32 mm).<\/li>\n<li>Wpisz <strong>D\u0142ugo\u015b\u0107 pr\u0119ta (L)<\/strong> pojedynczego pr\u0119ta i wybierz m, cm lub ft.<\/li>\n<li>Podaj <strong>Liczb\u0119 sztuk (n)<\/strong> \u2014 ile pr\u0119t\u00f3w o tych wymiarach wa\u017cysz.<\/li>\n<li>Sprawd\u017a <strong>G\u0119sto\u015b\u0107 stali (\u03c1)<\/strong>. Domy\u015blna warto\u015b\u0107 7850 kg\/m\u00b3 (490 lb\/ft\u00b3) jest poprawna dla typowej stali zbrojeniowej.<\/li>\n<li>Odczytaj wyniki: <strong>masa jednego pr\u0119ta<\/strong> w kilogramach i funtach, dodatkowo kg\/m, oraz <strong>masa ca\u0142kowita<\/strong> dla ca\u0142ej liczby sztuk.<\/li>\n<\/ol>\n<h2>Czym jest masa pr\u0119t\u00f3w zbrojeniowych i dlaczego ma znaczenie<\/h2>\n<p>Pr\u0119t zbrojeniowy (popularnie \u201ezbrojenie\u201d) to stalowa wk\u0142adka zatopiona w betonie, kt\u00f3ra przejmuje si\u0142y rozci\u0105gaj\u0105ce. Szacowanie jego masy to rutynowe zadanie na budowie: od niej zale\u017c\u0105 koszty transportu, plany pracy d\u017awigu, wielko\u015b\u0107 zam\u00f3wie\u0144 i rozliczenia. Stal zbrojeniow\u0105 niemal zawsze kupuje si\u0119 i wycenia wed\u0142ug masy (za kg lub za ton\u0119), dlatego przeliczenie zestawienia pr\u0119t\u00f3w na kilogramy jest niezb\u0119dne przy kosztorysowaniu i przy odbiorze dostaw na budowie.<\/p>\n<p>Samo obliczenie jest proste: pr\u0119t to d\u0142ugi walec, wi\u0119c jego obj\u0119to\u015b\u0107 to pole przekroju \\( \\pi d^{2}\/4 \\) razy d\u0142ugo\u015b\u0107, a masa to ta obj\u0119to\u015b\u0107 pomno\u017cona przez g\u0119sto\u015b\u0107 stali. Warto wiedzie\u0107, \u017ce pr\u0119ty \u017cebrowane okre\u015bla si\u0119 \u015brednic\u0105 <em>nominaln\u0105<\/em>, czyli \u015brednic\u0105 r\u00f3wnowa\u017cnego pr\u0119ta g\u0142adkiego \u2014 \u017cebra nie dodaj\u0105 masy, wi\u0119c nie trzeba stosowa\u0107 \u017cadnej poprawki.<\/p>\n<p>Do szybkiego sprawdzenia na budowie, przy g\u0119sto\u015bci 7850 kg\/m\u00b3, znana jest praktyczna regu\u0142a: masa na metr bie\u017c\u0105cy w kg\/m r\u00f3wna si\u0119 kwadratowi \u015brednicy w milimetrach podzielonemu przez 162. Dla pr\u0119ta 16 mm daje to \\( 256\/162 \\approx 1.58 \\) kg\/m, co pokrywa si\u0119 z dok\u0142adn\u0105 warto\u015bci\u0105 1,578 kg\/m. Kalkulator pokazuje t\u0119 \u015bci\u0105g\u0119 automatycznie zawsze wtedy, gdy g\u0119sto\u015b\u0107 jest bliska 7850 kg\/m\u00b3.<\/p>\n<h2>Tabela: standardowe \u015brednice pr\u0119t\u00f3w zbrojeniowych<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u015arednica nominalna<\/th>\n<th>kg\/m<\/th>\n<th>lb\/ft<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>8 mm<\/td>\n<td>0,395<\/td>\n<td>0,265<\/td>\n<\/tr>\n<tr>\n<td>10 mm<\/td>\n<td>0,617<\/td>\n<td>0,414<\/td>\n<\/tr>\n<tr>\n<td>12 mm<\/td>\n<td>0,888<\/td>\n<td>0,597<\/td>\n<\/tr>\n<tr>\n<td>16 mm<\/td>\n<td>1,579<\/td>\n<td>1,061<\/td>\n<\/tr>\n<tr>\n<td>20 mm<\/td>\n<td>2,466<\/td>\n<td>1,658<\/td>\n<\/tr>\n<tr>\n<td>25 mm<\/td>\n<td>3,853<\/td>\n<td>2,590<\/td>\n<\/tr>\n<tr>\n<td>32 mm<\/td>\n<td>6,313<\/td>\n<td>4,242<\/td>\n<\/tr>\n<tr>\n<td>40 mm<\/td>\n<td>9,865<\/td>\n<td>6,629<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Warto\u015bci przyj\u0119to dla g\u0119sto\u015bci 7850 kg\/m\u00b3. Ameryka\u0144skie rozmiary w calach (#3 do #11) odpowiadaj\u0105 \u015brednicom nominalnym 9,5; 12,7; 15,9; 19,1; 22,2; 25,4; 28,7; 32,3 i 35,8 mm, wi\u0119c obowi\u0105zuje ten sam wz\u00f3r.<\/p>\n<h2>Za\u0142o\u017cenia i ograniczenia<\/h2>\n<ul>\n<li>Kalkulator zak\u0142ada pr\u0119ty proste o sta\u0142ej \u015brednicy nominalnej. Gi\u0119cia, haki, zak\u0142ady i strzemiona zwi\u0119kszaj\u0105 d\u0142ugo\u015b\u0107 \u2014 uwzgl\u0119dnij je w d\u0142ugo\u015bci pr\u0119ta, aby uzyska\u0107 dok\u0142adn\u0105 mas\u0119 ca\u0142kowit\u0105.<\/li>\n<li>Pr\u0119ty ocynkowane lub powlekane \u017cywic\u0105 epoksydow\u0105 wa\u017c\u0105 nieco wi\u0119cej ni\u017c go\u0142a stal; pow\u0142oka to zwykle mniej ni\u017c 1% masy.<\/li>\n<li>G\u0119sto\u015b\u0107 stali r\u00f3\u017cni si\u0119 nieznacznie mi\u0119dzy hutami (mniej wi\u0119cej 7820\u20137880 kg\/m\u00b3). Je\u015bli \u015bwiadectwo huty podaje inn\u0105 warto\u015b\u0107, wpisz j\u0105, aby wynik by\u0142 precyzyjny.<\/li>\n<li>Przy wymiarowaniu ca\u0142ych element\u00f3w \u017celbetowych masa zbrojenia to tylko cz\u0119\u015b\u0107 projektu \u2014 no\u015bno\u015b\u0107 konstrukcji sprawd\u017a osobno, np. <a href=\"https:\/\/wpcalc.com\/pl\/inzynieria\/wskaznik-wytrzymalosci-przekroju\/\">kalkulatorem wska\u017anika wytrzyma\u0142o\u015bci przekroju belki<\/a> lub <a href=\"https:\/\/wpcalc.com\/en\/engineering\/simply-supported-beam-with-uniform-load\/\">kalkulatorem belki swobodnie podpartej z obci\u0105\u017ceniem r\u00f3wnomiernym<\/a>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Oblicz mas\u0119 pr\u0119t\u00f3w zbrojeniowych na podstawie \u015brednicy, d\u0142ugo\u015bci, liczby sztuk i g\u0119sto\u015bci stali. masa jednego pr\u0119ta i masa ca\u0142kowita w kilogramach i funtach, a tak\u017ce kg\/m do szybkich sprawdze\u0144 na budowie.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[90],"class_list":["post-2656","post","type-post","status-publish","format-standard","hentry","category-inzynieria","tag-beton"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/2656","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/comments?post=2656"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/2656\/revisions"}],"predecessor-version":[{"id":2869,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/2656\/revisions\/2869"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/media?parent=2656"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/categories?post=2656"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/tags?post=2656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}