{"id":100004,"date":"2026-02-15T20:05:34","date_gmt":"2026-02-15T20:05:34","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100004"},"modified":"2026-02-15T20:05:34","modified_gmt":"2026-02-15T20:05:34","slug":"allowable-stress-by-material","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/bn\/calculators\/allowable-stress-by-material\/","title":{"rendered":"\u0985\u09a8\u09c1\u09ae\u09cb\u09a6\u09a8\u09af\u09cb\u0997\u09cd\u09af \u099a\u09be\u09aa \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0 | ASME VIII \/ EN 13445 | \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b9\u09cd\u09b0\u09be\u09b8 | \u09ac\u09bf\u09a8\u09be\u09ae\u09c2\u09b2\u09cd\u09af\u09c7 \u099f\u09c1\u09b2"},"content":{"rendered":"\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Allowable Stress Calculator\",\"description\":\"Calculate design allowable stress per ASME VIII or EN 13445. Temperature derating, creep check, weld joint efficiency.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/allowable-stress-by-material\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"datePublished\":\"2024-01-01\",\"dateModified\":\"2025-06-01\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\n\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"What is allowable stress?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Allowable stress (\u03c3_allow or f or S) is the maximum stress permitted in a design. It equals material strength divided by a safety factor defined by the design code (e.g. ASME VIII, EN 13445).\"}},\n{\"@type\":\"Question\",\"name\":\"How is allowable stress calculated per ASME VIII?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"ASME VIII Div.1: S = min(Rp0.2\/1.5, Rm\/3.5) at room temperature. At elevated temperatures, time-dependent (creep) properties may govern. The 2007 edition reduced the UTS factor from 4 to 3.5.\"}},\n{\"@type\":\"Question\",\"name\":\"How is allowable stress calculated per EN 13445?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"EN 13445-3: f = min(Rp0.2\/1.5, Rm\/2.4) for ferritic steels. For austenitic: f = max(Rp0.2\/1.5, Rp1.0\/1.2) but \u2264 Rm\/3. Temperature-dependent values from EN 10028.\"}},\n{\"@type\":\"Question\",\"name\":\"When does creep become important?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Creep is significant above ~350\u00b0C for carbon steel, ~400\u00b0C for low-alloy, ~450\u00b0C for austenitic stainless, ~500\u00b0C for high-alloy. Above these temperatures, time-dependent rupture stress governs the allowable.\"}},\n{\"@type\":\"Question\",\"name\":\"What is weld joint efficiency?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Weld joint efficiency (E or z) reduces allowable stress based on NDE level: E=1.0 for full radiographic examination, E=0.85 for spot RT, E=0.7 for no volumetric NDE. 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20px;font-size:13px;font-weight:700;color:#fff;background:var(--vc-accent);border-radius:var(--vc-radius);text-decoration:none;white-space:nowrap;transition:background .15s}.vc-promo-link:hover{background:var(--vc-accent-hover)}\n.vc-footer{text-align:center;padding:32px 16px;font-size:13px;color:var(--vc-ink-muted)}.vc-footer a{color:var(--vc-accent);text-decoration:none}.vc-footer a:hover{text-decoration:underline}.vc-footer-links{margin-top:8px;font-size:12px}.vc-footer-links a{margin:0 8px}\n@media print{.vc-section-body{max-height:none!important}.vc-faq-a{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-section-chevron,.vc-faq-chevron,.vc-presets,.vc-promo{display:none!important}}\n<\/style>\n\n<div class=\"vc-calculator\" id=\"vc-allow-stress\">\n\n<header class=\"vc-header\">\n    <p class=\"vc-header-eyebrow\">Free Engineering Tool<\/p>\n    <h1 class=\"vc-header-title\">Allowable Stress by Material<\/h1>\n    <p class=\"vc-header-subtitle\">Calculate design allowable stress per ASME VIII Div.1 or EN 13445-3. Temperature-dependent properties, creep rupture check, weld joint efficiency factor. 12+ material grades.<\/p>\n    <div class=\"vc-badges\"><span class=\"vc-badge\">ASME VIII<\/span><span class=\"vc-badge\">EN 13445<\/span><span class=\"vc-badge\">\u03c3_allow<\/span><span class=\"vc-badge\">Creep Check<\/span><span class=\"vc-badge\">Weld Factor<\/span><\/div>\n<\/header>\n\n<div class=\"vc-card\">\n    <form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\n        <div class=\"vc-form-grid\">\n            <div class=\"vc-field vc-field-full\">\n                <label class=\"vc-label\" for=\"vc-mat\">Material Grade<\/label>\n                <select class=\"vc-select\" id=\"vc-mat\">\n                    <optgroup label=\"Carbon &#038; Carbon-Manganese Steel\">\n                        <option value=\"S235\">S235JR \/ SA-283 C \u2014 Rp=235, Rm=360 MPa<\/option>\n                        <option value=\"S275\">S275JR \/ SA-36 \u2014 Rp=275, Rm=430 MPa<\/option>\n                        <option value=\"S355\" selected>S355JR \/ SA-516 Gr.70 \u2014 Rp=355, Rm=510 MPa<\/option>\n                        <option value=\"P265\">P265GH \/ SA-516 Gr.60 \u2014 Rp=265, Rm=410 MPa<\/option>\n                        <option value=\"P355\">P355GH \u2014 Rp=355, Rm=490 MPa<\/option>\n                    <\/optgroup>\n                    <optgroup label=\"Low-Alloy Steel\">\n                        <option value=\"16Mo3\">16Mo3 \/ SA-204 C \u2014 Rp=280, Rm=450 MPa<\/option>\n                        <option value=\"13CrMo\">13CrMo4-5 \/ SA-387 Gr.12 \u2014 Rp=295, Rm=460 MPa<\/option>\n                        <option value=\"10CrMo\">10CrMo9-10 \/ SA-387 Gr.22 \u2014 Rp=275, Rm=450 MPa<\/option>\n                    <\/optgroup>\n                    <optgroup label=\"Austenitic Stainless Steel\">\n                        <option value=\"304\">1.4301 \/ 304 \u2014 Rp=210, Rm=520 MPa<\/option>\n                        <option value=\"316L\">1.4404 \/ 316L \u2014 Rp=200, Rm=500 MPa<\/option>\n                        <option value=\"321\">1.4541 \/ 321 \u2014 Rp=200, Rm=500 MPa<\/option>\n                    <\/optgroup>\n                    <optgroup label=\"Duplex Stainless\">\n                        <option value=\"2205\">1.4462 \/ 2205 Duplex \u2014 Rp=450, Rm=620 MPa<\/option>\n                    <\/optgroup>\n                <\/select>\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-code\">Design Code<\/label>\n                <select class=\"vc-select\" id=\"vc-code\">\n                    <option value=\"EN\" selected>EN 13445-3<\/option>\n                    <option value=\"ASME\">ASME VIII Div.1<\/option>\n                <\/select>\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-temp\">Design Temperature <span class=\"vc-label-hint\">(\u00b0C)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-temp\" step=\"any\" value=\"20\" placeholder=\"e.g. 20\">\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-weld\">Weld Joint Efficiency<\/label>\n                <select class=\"vc-select\" id=\"vc-weld\">\n                    <option value=\"1.0\" selected>1.0 \u2014 Full radiographic (RT)<\/option>\n                    <option value=\"0.85\">0.85 \u2014 Spot radiographic<\/option>\n                    <option value=\"0.7\">0.7 \u2014 No volumetric NDE<\/option>\n                <\/select>\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-load\">Load Type<\/label>\n                <select class=\"vc-select\" id=\"vc-load\">\n                    <option value=\"membrane\" selected>General membrane (\u03c3_m)<\/option>\n                    <option value=\"bending\">Primary bending (1.5\u00d7 \u03c3_allow)<\/option>\n                    <option value=\"local\">Local membrane + bending (1.5\u00d7 \u03c3_allow)<\/option>\n                    <option value=\"hydro\">Hydrostatic test (Rp0.2 \/ 1.05)<\/option>\n                <\/select>\n            <\/div>\n        <\/div>\n        <div class=\"vc-presets\">\n            <div class=\"vc-presets-label\">Quick presets<\/div>\n            <button type=\"button\" class=\"vc-preset-btn\" data-m=\"S355\" data-c=\"EN\" data-t=\"20\" data-w=\"1.0\">S355 \/ EN \/ 20\u00b0C<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-m=\"P265\" data-c=\"EN\" data-t=\"250\" data-w=\"1.0\">P265GH \/ EN \/ 250\u00b0C<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-m=\"16Mo3\" data-c=\"EN\" data-t=\"400\" data-w=\"0.85\">16Mo3 \/ EN \/ 400\u00b0C<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-m=\"304\" data-c=\"ASME\" data-t=\"100\" data-w=\"1.0\">304SS \/ ASME \/ 100\u00b0C<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-m=\"10CrMo\" data-c=\"ASME\" data-t=\"450\" data-w=\"1.0\">2\u00bcCr-1Mo \/ ASME \/ 450\u00b0C<\/button>\n        <\/div>\n    <\/form>\n\n    <div class=\"vc-results\" id=\"vc-results\">\n        <div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Design Allowable Stress<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\"><svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy<\/button><\/div>\n        <div class=\"vc-result-grid\">\n            <div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Allowable Stress \u03c3_allow \u00d7 E<\/div><div class=\"vc-rcard-value\" id=\"vc-r-allow\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Rp0.2(T) \/ Safety Factor<\/div><div class=\"vc-rcard-value\" id=\"vc-r-rp\" style=\"font-size:16px\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Rm(20\u00b0C) \/ Safety Factor<\/div><div class=\"vc-rcard-value\" id=\"vc-r-rm\" style=\"font-size:16px\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">\u03c3_allow (before weld factor)<\/div><div class=\"vc-rcard-value\" id=\"vc-r-base\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Governing Criterion<\/div><div class=\"vc-rcard-value\" id=\"vc-r-gov\" style=\"font-size:14px\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Creep Range Check<\/div><div class=\"vc-rcard-value\" id=\"vc-r-creep\" style=\"font-size:14px\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Load-Adjusted Allowable<\/div><div class=\"vc-rcard-value\" id=\"vc-r-loadadj\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Material Properties at T<\/div><div class=\"vc-rcard-value\" id=\"vc-r-props\" style=\"font-size:13px\">\u2014<\/div><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<!-- Theory -->\n<div class=\"vc-section vc-open\" id=\"vc-sec-theory\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udcd8<\/span><span class=\"vc-section-title\">Theory, Formulas &amp; Comparison<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n    <div class=\"vc-section-body\">\n        <div class=\"vc-section-inner vc-theory\">\n            <h3>EN 13445-3 (Ferritic Steels)<\/h3>\n            <div class=\"vc-formula-box\" id=\"vc-katex-1\"><\/div>\n            <h3>ASME VIII Div.1<\/h3>\n            <div class=\"vc-formula-box\" id=\"vc-katex-2\"><\/div>\n            <h3>Temperature Derating<\/h3>\n            <p>Both yield and UTS decrease with temperature. This calculator uses linearized derating curves based on EN 10028 \/ ASME II-D data:<\/p>\n            <ul>\n                <li>Below 100\u00b0C: properties are at room-temperature values<\/li>\n                <li>100\u2013400\u00b0C: gradual reduction (yield drops faster than UTS)<\/li>\n                <li>Above 400\u00b0C: significant reduction; creep may govern<\/li>\n            <\/ul>\n            <h3>Creep Regime<\/h3>\n            <p>When the design temperature exceeds the creep onset temperature, time-dependent rupture stress governs. Typical creep onset:<\/p>\n            <table class=\"vc-table\">\n                <thead><tr><th>Material Type<\/th><th>Creep Onset (\u00b0C)<\/th><th>Typical Max Design T<\/th><\/tr><\/thead>\n                <tbody>\n                    <tr><td>Carbon steel (S235, S355)<\/td><td>~350<\/td><td>400\u00b0C<\/td><\/tr>\n                    <tr><td>C-Mn pressure (P265GH, P355GH)<\/td><td>~380<\/td><td>450\u00b0C<\/td><\/tr>\n                    <tr><td>Mo steel (16Mo3)<\/td><td>~400<\/td><td>500\u00b0C<\/td><\/tr>\n                    <tr><td>CrMo steel (13CrMo4-5)<\/td><td>~450<\/td><td>550\u00b0C<\/td><\/tr>\n                    <tr><td>2\u00bcCr-1Mo (10CrMo9-10)<\/td><td>~470<\/td><td>600\u00b0C<\/td><\/tr>\n                    <tr><td>Austenitic SS (304, 316L)<\/td><td>~500<\/td><td>700\u00b0C<\/td><\/tr>\n                <\/tbody>\n            <\/table>\n\n            <h3>Practical Example<\/h3>\n            <div class=\"vc-example-box\">\n                <div class=\"vc-example-title\">Example \u2014 P265GH at 250\u00b0C, EN 13445<\/div>\n                <p><strong>Given:<\/strong> P265GH, Rp(20)=265 MPa, Rm=410 MPa, T=250\u00b0C, weld E=1.0<\/p>\n                <p>Rp(250\u00b0C) \u2248 265 \u00d7 0.85 = 225.3 MPa (derating for temperature)<\/p>\n                <p>f_yield = 225.3 \/ 1.5 = <strong>150.2 MPa<\/strong><\/p>\n                <p>f_UTS = 410 \/ 2.4 = <strong>170.8 MPa<\/strong><\/p>\n                <p>f = min(150.2, 170.8) = <strong>150.2 MPa<\/strong> (yield governs)<\/p>\n                <p>With E=1.0: \u03c3_allow = <strong>150.2 MPa<\/strong><\/p>\n            <\/div>\n\n            <h3>Material Comparison at Room Temperature<\/h3>\n            <table class=\"vc-table\">\n                <thead><tr><th>Material<\/th><th>Rp0.2<\/th><th>Rm<\/th><th>f (EN)<\/th><th>S (ASME)<\/th><\/tr><\/thead>\n                <tbody>\n                    <tr><td>S235JR<\/td><td>235<\/td><td>360<\/td><td>150<\/td><td>103<\/td><\/tr>\n                    <tr><td>S355JR<\/td><td>355<\/td><td>510<\/td><td>213<\/td><td>146<\/td><\/tr>\n                    <tr><td>P265GH<\/td><td>265<\/td><td>410<\/td><td>171<\/td><td>117<\/td><\/tr>\n                    <tr><td>P355GH<\/td><td>355<\/td><td>490<\/td><td>204<\/td><td>140<\/td><\/tr>\n                    <tr><td>16Mo3<\/td><td>280<\/td><td>450<\/td><td>187<\/td><td>129<\/td><\/tr>\n                    <tr><td>13CrMo4-5<\/td><td>295<\/td><td>460<\/td><td>192<\/td><td>131<\/td><\/tr>\n                    <tr><td>10CrMo9-10<\/td><td>275<\/td><td>450<\/td><td>183<\/td><td>129<\/td><\/tr>\n                    <tr><td>304 SS<\/td><td>210<\/td><td>520<\/td><td>140<\/td><td>138<\/td><\/tr>\n                    <tr><td>316L SS<\/td><td>200<\/td><td>500<\/td><td>133<\/td><td>133<\/td><\/tr>\n                    <tr><td>2205 Duplex<\/td><td>450<\/td><td>620<\/td><td>258<\/td><td>177<\/td><\/tr>\n                <\/tbody>\n            <\/table>\n\n            <div class=\"vc-warning-box\">\n                <p style=\"margin:0;font-size:14px;color:var(--vc-ink-secondary)\"><strong>\u26a0\ufe0f Note:<\/strong> This calculator provides approximate values for preliminary design. Always verify with the actual code tables (ASME II-D, EN 10028, EN 10222) for your specific material grade, product form, thickness, and temperature.<\/p>\n            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"vc-section\" id=\"vc-sec-related\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udd17<\/span><span class=\"vc-section-title\">Related Calculators<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n    <div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-related\">\n        <a class=\"vc-related-link\" href=\"\/calculators\/steel-properties-lookup\/\">Steel Properties<\/a>\n        <a class=\"vc-related-link\" href=\"\/calculators\/strength-unit-converter\/\">Strength Converter<\/a>\n        <a class=\"vc-related-link\" href=\"\/calculators\/steel-grade-equivalent\/\">Steel Equivalents<\/a>\n        <a class=\"vc-related-link\" href=\"\/calculators\/thermal-expansion-calculator\/\">Thermal Expansion<\/a>\n    <\/div><\/div><\/div>\n<\/div>\n\n<div class=\"vc-section\" id=\"vc-sec-faq\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\u2753<\/span><span class=\"vc-section-title\">Frequently Asked Questions<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n    <div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div><\/div>\n<\/div>\n\n<div class=\"vc-promo\"><div class=\"vc-promo-text\"><strong>Vibromera \u2014 Portable Balancing &amp; Vibration Analysis<\/strong><br>Professional field instruments. Used in 50+ countries.<\/div><a class=\"vc-promo-link\" href=\"https:\/\/vibromera.eu\/\" target=\"_blank\" rel=\"noopener\">Learn More<\/a><\/div>\n<footer class=\"vc-footer\"><p>\u00a9 2024\u20132025 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> \u2014 Engineering Calculators<\/p><p style=\"font-size:12px;margin-top:4px\">Last updated: June 2025<\/p><div class=\"vc-footer-links\"><a href=\"\/calculators\/engineering-calculators\/\">All Calculators<\/a><a href=\"https:\/\/vibromera.eu\/contacts\/\">Contact<\/a><\/div><\/footer>\n\n<\/div>\n\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.js\"><\/script>\n<script>\n(function(){\n    'use strict';\n    var SLUG='allowable-stress-by-material';\n    function $(id){return document.getElementById(id)}\n    function fmt(n,d){return isNaN(n)||!isFinite(n)?'\u2014':n.toFixed(d===undefined?1:d)}\n\n    \/\/ Material database: {rp20, rm, creepOnset, type}\n    var MATS={\n        S235:{rp:235,rm:360,co:350,type:'ferritic'},\n        S275:{rp:275,rm:430,co:350,type:'ferritic'},\n        S355:{rp:355,rm:510,co:350,type:'ferritic'},\n        P265:{rp:265,rm:410,co:380,type:'ferritic'},\n        P355:{rp:355,rm:490,co:380,type:'ferritic'},\n        '16Mo3':{rp:280,rm:450,co:400,type:'ferritic'},\n        '13CrMo':{rp:295,rm:460,co:450,type:'ferritic'},\n        '10CrMo':{rp:275,rm:450,co:470,type:'ferritic'},\n        '304':{rp:210,rm:520,co:500,type:'austenitic'},\n        '316L':{rp:200,rm:500,co:500,type:'austenitic'},\n        '321':{rp:200,rm:500,co:500,type:'austenitic'},\n        '2205':{rp:450,rm:620,co:300,type:'duplex'}\n    };\n\n    \/\/ Temperature derating factor for Rp0.2\n    function rpFactor(t, type){\n        if(t<=20)return 1.0;\n        if(type==='austenitic'){\n            if(t<=100)return 1.0-0.0015*(t-20);\n            if(t<=200)return 0.88-0.0015*(t-100);\n            if(t<=300)return 0.73-0.001*(t-200);\n            if(t<=400)return 0.63-0.0008*(t-300);\n            return Math.max(0.4,0.55-0.0006*(t-400));\n        }\n        \/\/ ferritic \/ duplex\n        if(t<=100)return 1.0-0.0003*(t-20);\n        if(t<=200)return 0.976-0.0006*(t-100);\n        if(t<=300)return 0.916-0.0008*(t-200);\n        if(t<=400)return 0.836-0.001*(t-300);\n        if(t<=500)return Math.max(0.5,0.736-0.0015*(t-400));\n        return Math.max(0.3,0.586-0.002*(t-500));\n    }\n\n    \/\/ Rm only slightly decreases with T for UTS-based check (room temp value used in EN)\n    function rmAtTemp(rm,t){\n        return rm*(1-0.0001*Math.max(0,t-20));\n    }\n\n    function calculate(){\n        var matKey=$('vc-mat').value;\n        var mat=MATS[matKey];\n        if(!mat)return;\n        var code=$('vc-code').value;\n        var temp=parseFloat($('vc-temp').value)||20;\n        var weld=parseFloat($('vc-weld').value);\n        var load=$('vc-load').value;\n\n        var rpT=mat.rp*rpFactor(temp,mat.type);\n        var rmT=rmAtTemp(mat.rm,temp);\n\n        var sfY=1.5;\n        var sfU=code==='ASME'?3.5:2.4;\n\n        var fromY=rpT\/sfY;\n        var fromU=rmT\/sfU;\n\n        \/\/ For austenitic in EN: special rule\n        var allow;\n        if(mat.type==='austenitic'&&code==='EN'){\n            var rp1=(rpT*1.3); \/\/ approximate Rp1.0\n            allow=Math.max(rpT\/sfY, rp1\/1.2);\n            allow=Math.min(allow, mat.rm\/3.0);\n        } else {\n            allow=Math.min(fromY,fromU);\n        }\n\n        var gov=fromY<=fromU?'Yield Rp0.2(T)\/'+sfY:'UTS Rm\/'+sfU;\n\n        \/\/ Creep check\n        var creepNote='';\n        if(temp>mat.co){\n            creepNote='\u26a0\ufe0f ABOVE CREEP ONSET ('+mat.co+'\u00b0C) \u2014 Time-dependent properties may govern. Verify with code tables.';\n        } else if(temp>mat.co-50){\n            creepNote='Near creep range (onset at '+mat.co+'\u00b0C). Consider creep if long service life.';\n        } else {\n            creepNote='Below creep range (onset >'+mat.co+'\u00b0C). Time-independent design OK.';\n        }\n\n        var baseAllow=allow;\n        var finalAllow=allow*weld;\n\n        \/\/ Load adjustment\n        var loadFactor=1.0;\n        var loadNote='General membrane';\n        if(load==='bending'){loadFactor=1.5;loadNote='Primary bending (1.5\u00d7\u03c3_m)'}\n        else if(load==='local'){loadFactor=1.5;loadNote='Local membrane+bending (1.5\u00d7\u03c3_m)'}\n        else if(load==='hydro'){finalAllow=rpT\/1.05;loadNote='Hydrostatic test (Rp\/1.05)';loadFactor=1}\n\n        var loadAdjusted=load==='hydro'?finalAllow:finalAllow*loadFactor;\n\n        $('vc-r-allow').innerHTML=fmt(finalAllow,1)+' <span class=\"vc-rcard-unit\">MPa<\/span>';\n        $('vc-r-rp').innerHTML=fmt(rpT,1)+' \/ '+sfY+' = '+fmt(fromY,1)+' MPa';\n        $('vc-r-rm').innerHTML=fmt(mat.rm,0)+' \/ '+sfU+' = '+fmt(fromU,1)+' MPa';\n        $('vc-r-base').innerHTML=fmt(baseAllow,1)+' <span class=\"vc-rcard-unit\">MPa<\/span>';\n        $('vc-r-weld')\n        $('vc-r-gov').textContent=gov+(temp>20?' at '+temp+'\u00b0C':'');\n        $('vc-r-creep').innerHTML=temp>mat.co?'<span style=\"color:var(--vc-red)\">'+creepNote+'<\/span>':creepNote;\n        $('vc-r-loadadj').innerHTML=fmt(loadAdjusted,1)+' <span class=\"vc-rcard-unit\">MPa<\/span> <span class=\"vc-rcard-unit\">('+loadNote+')<\/span>';\n        $('vc-r-props').innerHTML='Rp0.2('+temp+'\u00b0C)='+fmt(rpT,1)+' MPa, Rm='+fmt(mat.rm,0)+' MPa, E='+weld+', Code='+code;\n\n        $('vc-results').classList.add('vc-visible');\n\n        \/\/ URL + history\n        try{var u=new URL(window.location);u.searchParams.set('mat',matKey);u.searchParams.set('code',code);u.searchParams.set('temp',temp);u.searchParams.set('weld',weld);history.replaceState(null,'',u.toString())}catch(e){}\n        saveHistory({mat:matKey,code:code,temp:temp,allow:fmt(finalAllow,1),_summary:matKey+' '+code+' '+temp+'\u00b0C \u2192 '+fmt(finalAllow,1)+' MPa'});\n    }\n\n    $('vc-form').addEventListener('input',calculate);\n    $('vc-form').addEventListener('change',calculate);\n\n    document.querySelectorAll('.vc-preset-btn').forEach(function(btn){btn.addEventListener('click',function(e){\n        e.preventDefault();$('vc-mat').value=this.getAttribute('data-m');$('vc-code').value=this.getAttribute('data-c');$('vc-temp').value=this.getAttribute('data-t');$('vc-weld').value=this.getAttribute('data-w');calculate();\n    })});\n\n    $('vc-copy-btn').addEventListener('click',function(){\n        var text='Allowable Stress\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\n\u03c3_allow: '+$('vc-r-allow').textContent+'\\nRp\/SF: '+$('vc-r-rp').textContent+'\\nRm\/SF: '+$('vc-r-rm').textContent+'\\nGoverning: '+$('vc-r-gov').textContent+'\\nCreep: '+$('vc-r-creep').textContent+'\\nProperties: '+$('vc-r-props').textContent+'\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nvibromera.eu';\n        if(navigator.clipboard){navigator.clipboard.writeText(text).then(function(){var b=$('vc-copy-btn');b.classList.add('vc-copied');b.innerHTML='Copied!';setTimeout(function(){b.classList.remove('vc-copied');b.innerHTML='<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy'},2000)})}\n    });\n\n    document.querySelectorAll('.vc-section-toggle').forEach(function(btn){btn.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'))})});\n\n    var faqData=[\n        {q:'What is allowable stress and why is it important?',a:'<p>Allowable stress is the maximum stress permitted in a design component. It is the material strength divided by a code-defined safety factor. Using it ensures the component won\\'t fail under normal (or abnormal) loading with an adequate safety margin.<\/p><p>Different codes use different safety factors, leading to different allowable stresses for the same material.<\/p>'},\n        {q:'Why does ASME give lower allowable stress than EN?',a:'<p>ASME VIII uses a UTS safety factor of 3.5 (was 4.0 before 2007), while EN 13445 uses 2.4. This means ASME is more conservative on the UTS criterion. However, both use 1.5 on yield.<\/p><p>For high-strength materials where yield governs (e.g. S355, 2205), both codes give similar results. For lower-strength materials where UTS governs, ASME is significantly more conservative.<\/p>'},\n        {q:'How does temperature affect allowable stress?',a:'<p>Both yield strength and UTS decrease with temperature. The yield strength decreases faster. Above the creep onset temperature, time-dependent rupture stress may become the governing criterion.<\/p><p>Example: S355 at 400\u00b0C has Rp \u2248 297 MPa (vs 355 at RT), so allowable drops from 213 to ~173 MPa (EN).<\/p>'},\n        {q:'When does creep become the governing criterion?',a:'<p>Creep is significant above: ~350\u00b0C for carbon steel, ~400\u00b0C for Mo steel, ~450\u00b0C for CrMo, ~500\u00b0C for austenitic SS. Above these temperatures, the 100,000h creep rupture stress divided by its safety factor may be lower than the yield-based allowable.<\/p>'},\n        {q:'What is weld joint efficiency and how do I choose it?',a:'<p>Weld joint efficiency (E or z) accounts for potential weld defects:<\/p><ul><li><strong>E=1.0:<\/strong> Full radiographic or ultrasonic examination of all welds<\/li><li><strong>E=0.85:<\/strong> Spot (partial) radiographic examination<\/li><li><strong>E=0.7:<\/strong> No volumetric NDE (visual only)<\/li><\/ul><p>The effective allowable = \u03c3_allow \u00d7 E. Using E=1.0 requires more NDE but allows thinner walls.<\/p>'}\n    ];\n    var fl=$('vc-faq-list');faqData.forEach(function(f){fl.innerHTML+='<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\"><span>'+f.q+'<\/span><svg class=\"vc-faq-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button><div class=\"vc-faq-a\"><div class=\"vc-faq-a-inner\">'+f.a+'<\/div><\/div><\/div>'});\n    fl.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(!b)return;b.closest('.vc-faq-item').classList.toggle('vc-open')});\n\n    function saveHistory(entry){var key='vc_history_'+SLUG;var arr=[];try{arr=JSON.parse(localStorage.getItem(key))||[]}catch(e){}entry._ts=new Date().toISOString();arr.unshift(entry);if(arr.length>10)arr=arr.slice(0,10);try{localStorage.setItem(key,JSON.stringify(arr))}catch(e){}}\n\n    function loadParams(){try{var p=new URLSearchParams(window.location.search);if(p.has('mat'))$('vc-mat').value=p.get('mat');if(p.has('code'))$('vc-code').value=p.get('code');if(p.has('temp'))$('vc-temp').value=p.get('temp');if(p.has('weld'))$('vc-weld').value=p.get('weld')}catch(e){}}\n\n    function renderFormulas(){try{\n        katex.render('f_{\\\\text{EN}} = \\\\min\\\\!\\\\left(\\\\frac{R_{p0.2}(T)}{1.5},\\\\; \\\\frac{R_m}{2.4}\\\\right) \\\\times E',$('vc-katex-1'),{displayMode:true,throwOnError:false});\n        katex.render('S_{\\\\text{ASME}} = \\\\min\\\\!\\\\left(\\\\frac{R_{p0.2}(T)}{1.5},\\\\; \\\\frac{R_m}{3.5}\\\\right) \\\\times E',$('vc-katex-2'),{displayMode:true,throwOnError:false});\n    }catch(e){}}\n\n    function init(){loadParams();renderFormulas();calculate()}\n    if(document.readyState==='loading')document.addEventListener('DOMContentLoaded',init);else init();\n})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>ASME VIII \u098f\u09ac\u0982 EN 13445 \u0985\u09a8\u09c1\u09af\u09be\u09af\u09bc\u09c0 \u09ac\u09bf\u09a8\u09be\u09ae\u09c2\u09b2\u09cd\u09af\u09c7 \u09a1\u09bf\u099c\u09be\u0987\u09a8 \u0985\u09a8\u09c1\u09ae\u09cb\u09a6\u09a8\u09af\u09cb\u0997\u09cd\u09af \u099a\u09be\u09aa \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0\u0964 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be-\u09a8\u09bf\u09b0\u09cd\u09ad\u09b0 \u09ac\u09c8\u09b6\u09bf\u09b7\u09cd\u099f\u09cd\u09af, \u0995\u09cd\u09b0\u09bf\u09aa \u09b0\u09be\u09aa\u099a\u09be\u09b0 \u099a\u09c7\u0995, \u0993\u09af\u09bc\u09c7\u09b2\u09cd\u09a1 \u099c\u09af\u09bc\u09c7\u09a8\u09cd\u099f \u09a6\u0995\u09cd\u09b7\u09a4\u09be\u0964 \u09ac\u09be\u09b8\u09cd\u09a4\u09ac \u09a1\u09c7\u099f\u09be \u09b8\u09b9 12+ \u0989\u09aa\u09be\u09a6\u09be\u09a8 \u0997\u09cd\u09b0\u09c7\u09a1\u0964<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100004","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100004","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100004\/revisions"}],"predecessor-version":[{"id":100318,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100004\/revisions\/100318"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/media?parent=100004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/categories?post=100004"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/tags?post=100004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}