\u062d\u0627\u0633\u0628\u0629 \u062b\u0628\u0627\u062a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0645\u0636\u063a\u0648\u0637 \u0645\u062d\u0648\u0631\u064a\u064b\u0627<\/title>\n <style>\n \/* \u5c06\u6240\u6709\u6837\u5f0f\u9650\u5b9a\u5728\u7279\u5b9a\u4f5c\u7528\u57df\u5185 *\/\n .column-calculator-wrapper {\n --calc-primary-color: #2c3e50;\n --calc-secondary-color: #3498db;\n --calc-background-color: #f9f9f9;\n --calc-border-color: #ddd;\n }\n\n .column-calculator-wrapper * {\n box-sizing: border-box;\n }\n\n .column-calculator-wrapper {\n font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, \"Helvetica Neue\", Arial, sans-serif;\n line-height: 1.6;\n color: var(--calc-primary-color);\n width: 100%;\n max-width: 1200px;\n margin: 0 auto;\n padding: 20px;\n }\n\n .column-calculator-wrapper .calculator-section {\n background: white;\n border-radius: 8px;\n box-shadow: 0 2px 4px rgba(0,0,0,0.1);\n padding: 20px;\n margin-bottom: 30px;\n width: 100%;\n }\n\n .column-calculator-wrapper h2 {\n color: var(--calc-primary-color);\n margin-bottom: 20px;\n font-size: 1.5em;\n }\n\n .column-calculator-wrapper .parameters-explanation {\n display: grid;\n grid-template-columns: repeat(auto-fit, minmax(300px, 1fr));\n gap: 20px;\n margin-bottom: 30px;\n }\n\n .column-calculator-wrapper .parameter-item {\n background: #f8f9fa;\n padding: 15px;\n border-radius: 6px;\n }\n\n .column-calculator-wrapper .diagram-section {\n text-align: center;\n margin-bottom: 30px;\n padding: 20px;\n background: white;\n border-radius: 8px;\n }\n\n .column-calculator-wrapper .diagram-svg {\n max-width: 400px;\n height: auto;\n margin: 0 auto;\n display: block;\n }\n\n .column-calculator-wrapper .diagram-svg text {\n font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, sans-serif;\n font-size: 14px;\n }\n\n .column-calculator-wrapper .force-arrow {\n fill: none;\n stroke: #e74c3c;\n stroke-width: 2;\n marker-end: url(#arrowhead);\n }\n\n .column-calculator-wrapper .dimension-line {\n fill: none;\n stroke: #7f8c8d;\n stroke-width: 1;\n stroke-dasharray: 4 2;\n }\n\n .column-calculator-wrapper .dimension-text {\n fill: #2c3e50;\n text-anchor: middle;\n }\n\n .column-calculator-wrapper .calculator-form {\n display: grid;\n grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n gap: 20px;\n margin-bottom: 30px;\n }\n\n .column-calculator-wrapper .input-group {\n margin-bottom: 15px;\n }\n\n .column-calculator-wrapper label {\n display: block;\n margin-bottom: 5px;\n font-weight: 500;\n }\n\n .column-calculator-wrapper input {\n width: 100%;\n padding: 8px 12px;\n border: 1px solid var(--calc-border-color);\n border-radius: 4px;\n font-size: 16px;\n height: auto;\n min-height: 40px;\n }\n\n .column-calculator-wrapper input:focus {\n outline: none;\n border-color: var(--calc-secondary-color);\n box-shadow: 0 0 0 2px rgba(52,152,219,0.2);\n }\n\n .column-calculator-wrapper .button-container {\n grid-column: 1 \/ -1;\n text-align: center;\n margin-top: 20px;\n }\n\n .column-calculator-wrapper button {\n background-color: var(--calc-secondary-color);\n color: white;\n border: none;\n padding: 15px 40px;\n border-radius: 4px;\n cursor: pointer;\n font-size: 18px;\n font-weight: 500;\n transition: background-color 0.3s;\n min-width: 200px;\n height: auto;\n line-height: normal;\n }\n\n .column-calculator-wrapper button:hover {\n background-color: #2980b9;\n }\n\n .column-calculator-wrapper .results-section {\n display: none;\n background: #e8f6ff;\n padding: 20px;\n border-radius: 6px;\n margin-top: 20px;\n }\n\n .column-calculator-wrapper .results-section.show {\n display: block;\n }\n\n .column-calculator-wrapper .result-item {\n background: white;\n padding: 15px;\n border-radius: 6px;\n margin-bottom: 10px;\n box-shadow: 0 1px 3px rgba(0,0,0,0.1);\n }\n\n .column-calculator-wrapper .result-label {\n font-size: 16px;\n color: var(--calc-primary-color);\n margin-bottom: 5px;\n }\n\n .column-calculator-wrapper .result-value {\n font-size: 20px;\n font-weight: bold;\n color: var(--calc-secondary-color);\n }\n\n .column-calculator-wrapper .result-unit {\n font-size: 14px;\n color: #666;\n margin-left: 5px;\n }\n\n @media (max-width: 768px) {\n .column-calculator-wrapper {\n padding: 10px;\n }\n \n .column-calculator-wrapper .calculator-form {\n grid-template-columns: 1fr;\n }\n }\n <\/style>\n<\/head>\n<body>\n <div class=\"column-calculator-wrapper\">\n <section class=\"calculator-section\">\n <h2>\u0623\u0648\u0635\u0627\u0641 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a<\/h2>\n <div class=\"parameters-explanation\">\n <div class=\"parameter-item\">\n <strong>N (\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u062d\u0648\u0631\u064a\u0629)<\/strong>\n <p>\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0636\u0627\u063a\u0637\u0629 \u0627\u0644\u0645\u0624\u062b\u0631\u0629 \u0639\u0644\u0649 \u0637\u0648\u0644 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0637\u0648\u0644\u064a \u0644\u0644\u0639\u0645\u0648\u062f.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0623 (\u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0642\u0637\u0639 \u0627\u0644\u0639\u0631\u0636\u064a)<\/strong>\n <p>\u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0642\u0637\u0639 \u0627\u0644\u0639\u0631\u0636\u064a \u0644\u0644\u0639\u0645\u0648\u062f.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u03a6 (\u0646\u0633\u0628\u0629 \u0627\u0644\u0646\u062d\u0627\u0641\u0629)<\/strong>\n <p>\u0646\u0633\u0628\u0629 \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0627\u0644 \u0625\u0644\u0649 \u0646\u0635\u0641 \u0642\u0637\u0631 \u0627\u0644\u062f\u0648\u0631\u0627\u0646.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0623\u0646\u0627 (\u0639\u0632\u0645 \u0627\u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0630\u0627\u062a\u064a)<\/strong>\n <p>\u0627\u0644\u0644\u062d\u0638\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0645\u0646\u0637\u0642\u0629 \u062d\u0648\u0644 \u0645\u062d\u0648\u0631 \u0627\u0644\u0627\u0646\u062d\u0646\u0627\u0621.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u03bc1 (\u0639\u0627\u0645\u0644 \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0627\u0644)<\/strong>\n <p>\u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u062a\u064a \u062a\u0624\u062b\u0631 \u0639\u0644\u0649 \u0627\u0644\u0638\u0631\u0648\u0641 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 \u0644\u0644\u0639\u0645\u0648\u062f.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0644 (\u0627\u0644\u0637\u0648\u0644)<\/strong>\n <p>\u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0644\u064a \u0644\u0644\u0639\u0645\u0648\u062f.<\/p>\n <\/div>\n <\/div>\n <\/section>\n\n <section class=\"calculator-section\">\n <div class=\"diagram-section\">\n <svg class=\"diagram-svg\" viewbox=\"0 0 400 500\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n \n <defs>\n <marker id=\"arrowhead\" markerwidth=\"10\" markerheight=\"7\" refx=\"9\" refy=\"3.5\" orient=\"auto\">\n <polygon points=\"0 0, 10 3.5, 0 7\" fill=\"#e74c3c\"\/>\n <\/marker>\n <\/defs>\n\n \n <path d=\"M100 450 L300 450\" stroke=\"#34495e\" stroke-width=\"3\"\/>\n <path d=\"M150 450 L175 470 L225 470 L250 450\" fill=\"#34495e\"\/>\n\n \n <rect x=\"175\" y=\"100\" width=\"50\" height=\"350\" fill=\"#3498db\" fill-opacity=\"0.2\" stroke=\"#2980b9\" stroke-width=\"2\"\/>\n\n \n <path d=\"M100 100 L300 100\" stroke=\"#34495e\" stroke-width=\"3\"\/>\n <path d=\"M150 100 L175 80 L225 80 L250 100\" fill=\"#34495e\"\/>\n\n \n <line class=\"force-arrow\" x1=\"200\" y1=\"50\" x2=\"200\" y2=\"100\"\/>\n <text x=\"220\" y=\"75\" class=\"dimension-text\">\u0646<\/text>\n\n \n <line class=\"dimension-line\" x1=\"350\" y1=\"100\" x2=\"350\" y2=\"450\"\/>\n <text x=\"370\" y=\"275\" class=\"dimension-text\">L<\/text>\n <line class=\"dimension-line\" x1=\"345\" y1=\"100\" x2=\"355\" y2=\"100\"\/>\n <line class=\"dimension-line\" x1=\"345\" y1=\"450\" x2=\"355\" y2=\"450\"\/>\n\n \n <line class=\"dimension-line\" x1=\"175\" y1=\"275\" x2=\"225\" y2=\"275\"\/>\n <text x=\"200\" y=\"265\" class=\"dimension-text\">\u0623<\/text>\n\n \n <text x=\"150\" y=\"90\" class=\"dimension-text\">\u03bc1<\/text>\n\n \n <text x=\"200\" y=\"490\" class=\"dimension-text\" style=\"font-size: 12px\">\n \u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0642\u0637\u0639 \u0627\u0644\u0639\u0631\u0636\u064a (\u0623)\u060c \u0627\u0644\u0637\u0648\u0644 (\u0644)\u060c \u0639\u0627\u0645\u0644 \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0627\u0644 (\u03bc1)\n <\/text>\n <\/svg>\n <\/div>\n <\/section>\n\n <section class=\"calculator-section\">\n <h2>\u0645\u0639\u0644\u0645\u0627\u062a \u0627\u0644\u0625\u062f\u062e\u0627\u0644<\/h2>\n <form id=\"calculatorForm\" class=\"calculator-form\" action=\"\">\n <div class=\"input-group\">\n <label for=\"axialForce\">\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u062d\u0648\u0631\u064a\u0629 (\u0646\u064a\u0648\u062a\u0646)<\/label>\n <input type=\"number\" id=\"axialForce\" name=\"axialForce\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"area\">\u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0642\u0637\u0639 \u0627\u0644\u0639\u0631\u0636\u064a (\u0645\u0645\u00b2)<\/label>\n <input type=\"number\" id=\"area\" name=\"area\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"slendernessRatio\">\u0646\u0633\u0628\u0629 \u0627\u0644\u0646\u062d\u0627\u0641\u0629 (\u03a6)<\/label>\n <input type=\"number\" id=\"slendernessRatio\" name=\"slendernessRatio\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"momentOfInertia\">\u0639\u0632\u0645 \u0627\u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0630\u0627\u062a\u064a (\u0645\u0645\u2074)<\/label>\n <input type=\"number\" id=\"momentOfInertia\" name=\"momentOfInertia\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"effectiveLengthFactor\">\u0639\u0627\u0645\u0644 \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0627\u0644 (\u03bc1)<\/label>\n <input type=\"number\" id=\"effectiveLengthFactor\" name=\"effectiveLengthFactor\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"length\">\u0627\u0644\u0637\u0648\u0644 (\u0645\u0645)<\/label>\n <input type=\"number\" id=\"length\" name=\"length\" required step=\"any\">\n <\/div>\n <div class=\"button-container\">\n <button type=\"submit\">\u0627\u062d\u0633\u0628<\/button>\n <\/div>\n <input type=\"hidden\" name=\"trp-form-language\" value=\"ar\"\/><\/form>\n <\/section>\n\n <section class=\"calculator-section results-section\" id=\"resultsSection\">\n <h2>\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062d\u0633\u0627\u0628<\/h2>\n <div class=\"results-grid\">\n <div class=\"result-item\">\n <div class=\"result-label\">\u0646\u0635\u0641 \u0642\u0637\u0631 \u0627\u0644\u062f\u0648\u0631\u0627\u0646 (r)<\/div>\n <div class=\"result-value\">\n <span id=\"radiusValue\">–<\/span>\n <span class=\"result-unit\">\u0645\u0645<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">\u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0645\u062d\u0633\u0648\u0628 (Lc)<\/div>\n <div class=\"result-value\">\n <span id=\"calcLengthValue\">–<\/span>\n <span class=\"result-unit\">\u0645\u0645<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">\u0646\u0633\u0628\u0629 \u0627\u0644\u0646\u062d\u0627\u0641\u0629 (\u03bb)<\/div>\n <div class=\"result-value\">\n <span id=\"slendernessValue\">–<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">\u0627\u0644\u0625\u062c\u0647\u0627\u062f (\u03c3)<\/div>\n <div class=\"result-value\">\n <span id=\"stressValue\">–<\/span>\n <span class=\"result-unit\">\u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644<\/span>\n <\/div>\n <\/div>\n <\/div>\n <\/section>\n <\/div>\n\n <script>\n \/\/ \u786e\u4fddJavaScript\u4e0d\u4f1a\u5f71\u54cd\u5176\u4ed6\u9875\u9762\u5143\u7d20\n (function() {\n const calculator = {\n init: function() {\n document.getElementById('calculatorForm').addEventListener('submit', this.handleSubmit.bind(this));\n },\n \n handleSubmit: function(e) {\n e.preventDefault();\n \n \/\/ Get input values\n const N = parseFloat(document.getElementById('axialForce').value);\n const A = parseFloat(document.getElementById('area').value);\n const phi = parseFloat(document.getElementById('slendernessRatio').value);\n const I = parseFloat(document.getElementById('momentOfInertia').value);\n const mu1 = parseFloat(document.getElementById('effectiveLengthFactor').value);\n const L = parseFloat(document.getElementById('length').value);\n\n \/\/ Calculate results\n const r = Math.sqrt(I \/ A);\n const Lc = mu1 * L;\n const lambda = Lc \/ r;\n const sigma = N \/ A;\n\n \/\/ Display results\n document.getElementById('resultsSection').classList.add('show');\n document.getElementById('radiusValue').textContent = r.toFixed(2);\n document.getElementById('calcLengthValue').textContent = Lc.toFixed(2);\n document.getElementById('slendernessValue').textContent = lambda.toFixed(2);\n document.getElementById('stressValue').textContent = sigma.toFixed(2);\n }\n };\n\n \/\/ \u7b49\u5f85DOM\u52a0\u8f7d\u5b8c\u6210\u540e\u521d\u59cb\u5316\n if (document.readyState === 'loading') {\n document.addEventListener('DOMContentLoaded', () => calculator.init());\n } else {\n calculator.init();\n }\n })();\n <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>Optimize your structural engineering projects with our Axially Compressed Column Stability Calculator. This powerful tool allows engineers to precisely evaluate the stability of columns under…<\/p>","protected":false},"author":2,"featured_media":15459,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"pmpro_default_level":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[3437],"tags":[3530,3531,3529],"class_list":["post-15458","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-other-engineering-formulas","tag-column-buckling-analysis","tag-stability-calculation","tag-structural-engineering-tools","pmpro-has-access"],"acf":[],"jetpack_featured_media_url":"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/Axially-Compressed-Column-Stability-Calculator.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts\/15458","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/comments?post=15458"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts\/15458\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media\/15459"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media?parent=15458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/categories?post=15458"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/tags?post=15458"}],"curies":[{"name":"\u0648\u0648\u0631\u062f\u0628\u0631\u064a\u0633","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":15458,"date":"2025-04-10T05:16:17","date_gmt":"2025-04-10T05:16:17","guid":{"rendered":"https:\/\/www.mechstream.com\/?p=15458"},"modified":"2025-04-10T05:18:07","modified_gmt":"2025-04-10T05:18:07","slug":"axially-compressed-column-stability-calculator","status":"publish","type":"post","link":"https:\/\/www.mechstream.com\/ar\/axially-compressed-column-stability-calculator\/","title":{"rendered":"\u062d\u0627\u0633\u0628\u0629 \u062b\u0628\u0627\u062a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0645\u0636\u063a\u0648\u0637 \u0645\u062d\u0648\u0631\u064a\u064b\u0627"},"content":{"rendered":"

\u062d\u0633\u0651\u0646 \u0645\u0634\u0627\u0631\u064a\u0639\u0643 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0627\u0644\u0625\u0646\u0634\u0627\u0626\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062d\u0627\u0633\u0628\u0629 \u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0627\u0644\u0645\u0636\u063a\u0648\u0637\u0629 \u0645\u062d\u0648\u0631\u064a\u064b\u0627. \u062a\u062a\u064a\u062d \u0647\u0630\u0647 \u0627\u0644\u0623\u062f\u0627\u0629 \u0627\u0644\u0641\u0639\u0651\u0627\u0644\u0629 \u0644\u0644\u0645\u0647\u0646\u062f\u0633\u064a\u0646 \u062a\u0642\u064a\u064a\u0645 \u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0628\u062f\u0642\u0629 \u062a\u062d\u062a \u0627\u0644\u0636\u063a\u0637 \u0627\u0644\u0645\u062d\u0648\u0631\u064a\u060c \u0645\u0645\u0627 \u064a\u0636\u0645\u0646 \u0627\u0644\u0633\u0644\u0627\u0645\u0629 \u0648\u0627\u0644\u0643\u0641\u0627\u0621\u0629 \u0641\u064a \u0627\u0644\u062a\u0635\u0645\u064a\u0645. \u0645\u062b\u0627\u0644\u064a\u0629 \u0644\u0644\u0623\u063a\u0631\u0627\u0636 \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a\u0629 \u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u0647\u0646\u064a\u0629\u060c \u062d\u064a\u062b \u062a\u064f\u0642\u062f\u0645 \u062d\u0627\u0633\u0628\u062a\u0646\u0627 \u0646\u062a\u0627\u0626\u062c \u062f\u0642\u064a\u0642\u0629 \u0648\u0633\u0631\u064a\u0639\u0629. \u0643\u0646 \u0633\u0628\u0651\u0627\u0642\u064b\u0627 \u0641\u064a \u0645\u0634\u0627\u0631\u064a\u0639\u0643 \u0628\u0627\u0644\u0627\u0633\u062a\u0641\u0627\u062f\u0629 \u0645\u0646 \u0623\u0633\u0627\u0644\u064a\u0628 \u062d\u0633\u0627\u0628\u064a\u0629 \u0645\u062a\u0642\u062f\u0645\u0629 \u062a\u0644\u062a\u0632\u0645 \u0628\u0645\u0639\u0627\u064a\u064a\u0631 \u0627\u0644\u0635\u0646\u0627\u0639\u0629. \u0627\u0633\u062a\u0643\u0634\u0641 \u0648\u0627\u062c\u0647\u062a\u0646\u0627 \u0633\u0647\u0644\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062d\u0645\u0644 \u0627\u0644\u062d\u0631\u062c\u060c \u0648\u0637\u0648\u0644 \u0627\u0644\u0627\u0646\u0628\u0639\u0627\u062c\u060c \u0648\u063a\u064a\u0631\u0647\u0627\u060c \u0645\u0645\u0627 \u064a\u064f\u062d\u0633\u0651\u0646 \u0639\u0645\u0644\u064a\u0629 \u0627\u062a\u062e\u0627\u0630 \u0627\u0644\u0642\u0631\u0627\u0631 \u0644\u062f\u064a\u0643 \u0628\u0628\u064a\u0627\u0646\u0627\u062a \u0645\u0648\u062b\u0648\u0642\u0629.<\/p>\n\n\n\n\n\n\n \n \n \u062d\u0627\u0633\u0628\u0629 \u062b\u0628\u0627\u062a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0645\u0636\u063a\u0648\u0637 \u0645\u062d\u0648\u0631\u064a\u064b\u0627<\/title>\n <style>\n \/* \u5c06\u6240\u6709\u6837\u5f0f\u9650\u5b9a\u5728\u7279\u5b9a\u4f5c\u7528\u57df\u5185 *\/\n .column-calculator-wrapper {\n --calc-primary-color: #2c3e50;\n --calc-secondary-color: #3498db;\n --calc-background-color: #f9f9f9;\n --calc-border-color: #ddd;\n }\n\n .column-calculator-wrapper * {\n box-sizing: border-box;\n }\n\n .column-calculator-wrapper {\n font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, \"Helvetica Neue\", Arial, sans-serif;\n line-height: 1.6;\n color: var(--calc-primary-color);\n width: 100%;\n max-width: 1200px;\n margin: 0 auto;\n padding: 20px;\n }\n\n .column-calculator-wrapper .calculator-section {\n background: white;\n border-radius: 8px;\n box-shadow: 0 2px 4px rgba(0,0,0,0.1);\n padding: 20px;\n margin-bottom: 30px;\n width: 100%;\n }\n\n .column-calculator-wrapper h2 {\n color: var(--calc-primary-color);\n margin-bottom: 20px;\n font-size: 1.5em;\n }\n\n .column-calculator-wrapper .parameters-explanation {\n display: grid;\n grid-template-columns: repeat(auto-fit, minmax(300px, 1fr));\n gap: 20px;\n margin-bottom: 30px;\n }\n\n .column-calculator-wrapper .parameter-item {\n background: #f8f9fa;\n padding: 15px;\n border-radius: 6px;\n }\n\n .column-calculator-wrapper .diagram-section {\n text-align: center;\n margin-bottom: 30px;\n padding: 20px;\n background: white;\n border-radius: 8px;\n }\n\n .column-calculator-wrapper .diagram-svg {\n max-width: 400px;\n height: auto;\n margin: 0 auto;\n display: block;\n }\n\n .column-calculator-wrapper .diagram-svg text {\n font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, sans-serif;\n font-size: 14px;\n }\n\n .column-calculator-wrapper .force-arrow {\n fill: none;\n stroke: #e74c3c;\n stroke-width: 2;\n marker-end: url(#arrowhead);\n }\n\n .column-calculator-wrapper .dimension-line {\n fill: none;\n stroke: #7f8c8d;\n stroke-width: 1;\n stroke-dasharray: 4 2;\n }\n\n .column-calculator-wrapper .dimension-text {\n fill: #2c3e50;\n text-anchor: middle;\n }\n\n .column-calculator-wrapper .calculator-form {\n display: grid;\n grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n gap: 20px;\n margin-bottom: 30px;\n }\n\n .column-calculator-wrapper .input-group {\n margin-bottom: 15px;\n }\n\n .column-calculator-wrapper label {\n display: block;\n margin-bottom: 5px;\n font-weight: 500;\n }\n\n .column-calculator-wrapper input {\n width: 100%;\n padding: 8px 12px;\n border: 1px solid var(--calc-border-color);\n border-radius: 4px;\n font-size: 16px;\n height: auto;\n min-height: 40px;\n }\n\n .column-calculator-wrapper input:focus {\n outline: none;\n border-color: var(--calc-secondary-color);\n box-shadow: 0 0 0 2px rgba(52,152,219,0.2);\n }\n\n .column-calculator-wrapper .button-container {\n grid-column: 1 \/ -1;\n text-align: center;\n margin-top: 20px;\n }\n\n .column-calculator-wrapper button {\n background-color: var(--calc-secondary-color);\n color: white;\n border: none;\n padding: 15px 40px;\n border-radius: 4px;\n cursor: pointer;\n font-size: 18px;\n font-weight: 500;\n transition: background-color 0.3s;\n min-width: 200px;\n height: auto;\n line-height: normal;\n }\n\n .column-calculator-wrapper button:hover {\n background-color: #2980b9;\n }\n\n .column-calculator-wrapper .results-section {\n display: none;\n background: #e8f6ff;\n padding: 20px;\n border-radius: 6px;\n margin-top: 20px;\n }\n\n .column-calculator-wrapper .results-section.show {\n display: block;\n }\n\n .column-calculator-wrapper .result-item {\n background: white;\n padding: 15px;\n border-radius: 6px;\n margin-bottom: 10px;\n box-shadow: 0 1px 3px rgba(0,0,0,0.1);\n }\n\n .column-calculator-wrapper .result-label {\n font-size: 16px;\n color: var(--calc-primary-color);\n margin-bottom: 5px;\n }\n\n .column-calculator-wrapper .result-value {\n font-size: 20px;\n font-weight: bold;\n color: var(--calc-secondary-color);\n }\n\n .column-calculator-wrapper .result-unit {\n font-size: 14px;\n color: #666;\n margin-left: 5px;\n }\n\n @media (max-width: 768px) {\n .column-calculator-wrapper {\n padding: 10px;\n }\n \n .column-calculator-wrapper .calculator-form {\n grid-template-columns: 1fr;\n }\n }\n <\/style>\n<\/head>\n<body>\n <div class=\"column-calculator-wrapper\">\n <section class=\"calculator-section\">\n <h2>\u0623\u0648\u0635\u0627\u0641 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a<\/h2>\n <div class=\"parameters-explanation\">\n <div class=\"parameter-item\">\n <strong>N (\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u062d\u0648\u0631\u064a\u0629)<\/strong>\n <p>\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0636\u0627\u063a\u0637\u0629 \u0627\u0644\u0645\u0624\u062b\u0631\u0629 \u0639\u0644\u0649 \u0637\u0648\u0644 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0637\u0648\u0644\u064a \u0644\u0644\u0639\u0645\u0648\u062f.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0623 (\u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0642\u0637\u0639 \u0627\u0644\u0639\u0631\u0636\u064a)<\/strong>\n <p>\u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0642\u0637\u0639 \u0627\u0644\u0639\u0631\u0636\u064a \u0644\u0644\u0639\u0645\u0648\u062f.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u03a6 (\u0646\u0633\u0628\u0629 \u0627\u0644\u0646\u062d\u0627\u0641\u0629)<\/strong>\n <p>\u0646\u0633\u0628\u0629 \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0627\u0644 \u0625\u0644\u0649 \u0646\u0635\u0641 \u0642\u0637\u0631 \u0627\u0644\u062f\u0648\u0631\u0627\u0646.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0623\u0646\u0627 (\u0639\u0632\u0645 \u0627\u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0630\u0627\u062a\u064a)<\/strong>\n <p>\u0627\u0644\u0644\u062d\u0638\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0645\u0646\u0637\u0642\u0629 \u062d\u0648\u0644 \u0645\u062d\u0648\u0631 \u0627\u0644\u0627\u0646\u062d\u0646\u0627\u0621.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u03bc1 (\u0639\u0627\u0645\u0644 \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0627\u0644)<\/strong>\n <p>\u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u062a\u064a \u062a\u0624\u062b\u0631 \u0639\u0644\u0649 \u0627\u0644\u0638\u0631\u0648\u0641 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 \u0644\u0644\u0639\u0645\u0648\u062f.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0644 (\u0627\u0644\u0637\u0648\u0644)<\/strong>\n <p>\u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0644\u064a \u0644\u0644\u0639\u0645\u0648\u062f.<\/p>\n <\/div>\n <\/div>\n <\/section>\n\n <section class=\"calculator-section\">\n <div class=\"diagram-section\">\n <svg class=\"diagram-svg\" viewbox=\"0 0 400 500\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n \n <defs>\n <marker id=\"arrowhead\" markerwidth=\"10\" markerheight=\"7\" refx=\"9\" refy=\"3.5\" orient=\"auto\">\n <polygon points=\"0 0, 10 3.5, 0 7\" fill=\"#e74c3c\"\/>\n <\/marker>\n <\/defs>\n\n \n <path d=\"M100 450 L300 450\" stroke=\"#34495e\" stroke-width=\"3\"\/>\n <path d=\"M150 450 L175 470 L225 470 L250 450\" fill=\"#34495e\"\/>\n\n \n <rect x=\"175\" y=\"100\" width=\"50\" height=\"350\" fill=\"#3498db\" fill-opacity=\"0.2\" stroke=\"#2980b9\" stroke-width=\"2\"\/>\n\n \n <path d=\"M100 100 L300 100\" stroke=\"#34495e\" stroke-width=\"3\"\/>\n <path d=\"M150 100 L175 80 L225 80 L250 100\" fill=\"#34495e\"\/>\n\n \n <line class=\"force-arrow\" x1=\"200\" y1=\"50\" x2=\"200\" y2=\"100\"\/>\n <text x=\"220\" y=\"75\" class=\"dimension-text\">\u0646<\/text>\n\n \n <line class=\"dimension-line\" x1=\"350\" y1=\"100\" x2=\"350\" y2=\"450\"\/>\n <text x=\"370\" y=\"275\" class=\"dimension-text\">L<\/text>\n <line class=\"dimension-line\" x1=\"345\" y1=\"100\" x2=\"355\" y2=\"100\"\/>\n <line class=\"dimension-line\" x1=\"345\" y1=\"450\" x2=\"355\" y2=\"450\"\/>\n\n \n <line class=\"dimension-line\" x1=\"175\" y1=\"275\" x2=\"225\" y2=\"275\"\/>\n <text x=\"200\" y=\"265\" class=\"dimension-text\">\u0623<\/text>\n\n \n <text x=\"150\" y=\"90\" class=\"dimension-text\">\u03bc1<\/text>\n\n \n <text x=\"200\" y=\"490\" class=\"dimension-text\" style=\"font-size: 12px\">\n \u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0642\u0637\u0639 \u0627\u0644\u0639\u0631\u0636\u064a (\u0623)\u060c \u0627\u0644\u0637\u0648\u0644 (\u0644)\u060c \u0639\u0627\u0645\u0644 \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0627\u0644 (\u03bc1)\n <\/text>\n <\/svg>\n <\/div>\n <\/section>\n\n <section class=\"calculator-section\">\n <h2>\u0645\u0639\u0644\u0645\u0627\u062a \u0627\u0644\u0625\u062f\u062e\u0627\u0644<\/h2>\n <form id=\"calculatorForm\" class=\"calculator-form\" action=\"\">\n <div class=\"input-group\">\n <label for=\"axialForce\">\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u062d\u0648\u0631\u064a\u0629 (\u0646\u064a\u0648\u062a\u0646)<\/label>\n <input type=\"number\" id=\"axialForce\" name=\"axialForce\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"area\">\u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0642\u0637\u0639 \u0627\u0644\u0639\u0631\u0636\u064a (\u0645\u0645\u00b2)<\/label>\n <input type=\"number\" id=\"area\" name=\"area\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"slendernessRatio\">\u0646\u0633\u0628\u0629 \u0627\u0644\u0646\u062d\u0627\u0641\u0629 (\u03a6)<\/label>\n <input type=\"number\" id=\"slendernessRatio\" name=\"slendernessRatio\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"momentOfInertia\">\u0639\u0632\u0645 \u0627\u0644\u0642\u0635\u0648\u0631 \u0627\u0644\u0630\u0627\u062a\u064a (\u0645\u0645\u2074)<\/label>\n <input type=\"number\" id=\"momentOfInertia\" name=\"momentOfInertia\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"effectiveLengthFactor\">\u0639\u0627\u0645\u0644 \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0641\u0639\u0627\u0644 (\u03bc1)<\/label>\n <input type=\"number\" id=\"effectiveLengthFactor\" name=\"effectiveLengthFactor\" required step=\"any\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"length\">\u0627\u0644\u0637\u0648\u0644 (\u0645\u0645)<\/label>\n <input type=\"number\" id=\"length\" name=\"length\" required step=\"any\">\n <\/div>\n <div class=\"button-container\">\n <button type=\"submit\">\u0627\u062d\u0633\u0628<\/button>\n <\/div>\n <input type=\"hidden\" name=\"trp-form-language\" value=\"ar\"\/><\/form>\n <\/section>\n\n <section class=\"calculator-section results-section\" id=\"resultsSection\">\n <h2>\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062d\u0633\u0627\u0628<\/h2>\n <div class=\"results-grid\">\n <div class=\"result-item\">\n <div class=\"result-label\">\u0646\u0635\u0641 \u0642\u0637\u0631 \u0627\u0644\u062f\u0648\u0631\u0627\u0646 (r)<\/div>\n <div class=\"result-value\">\n <span id=\"radiusValue\">–<\/span>\n <span class=\"result-unit\">\u0645\u0645<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">\u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0645\u062d\u0633\u0648\u0628 (Lc)<\/div>\n <div class=\"result-value\">\n <span id=\"calcLengthValue\">–<\/span>\n <span class=\"result-unit\">\u0645\u0645<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">\u0646\u0633\u0628\u0629 \u0627\u0644\u0646\u062d\u0627\u0641\u0629 (\u03bb)<\/div>\n <div class=\"result-value\">\n <span id=\"slendernessValue\">–<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">\u0627\u0644\u0625\u062c\u0647\u0627\u062f (\u03c3)<\/div>\n <div class=\"result-value\">\n <span id=\"stressValue\">–<\/span>\n <span class=\"result-unit\">\u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644<\/span>\n <\/div>\n <\/div>\n <\/div>\n <\/section>\n <\/div>\n\n <script>\n \/\/ \u786e\u4fddJavaScript\u4e0d\u4f1a\u5f71\u54cd\u5176\u4ed6\u9875\u9762\u5143\u7d20\n (function() {\n const calculator = {\n init: function() {\n document.getElementById('calculatorForm').addEventListener('submit', this.handleSubmit.bind(this));\n },\n \n handleSubmit: function(e) {\n e.preventDefault();\n \n \/\/ Get input values\n const N = parseFloat(document.getElementById('axialForce').value);\n const A = parseFloat(document.getElementById('area').value);\n const phi = parseFloat(document.getElementById('slendernessRatio').value);\n const I = parseFloat(document.getElementById('momentOfInertia').value);\n const mu1 = parseFloat(document.getElementById('effectiveLengthFactor').value);\n const L = parseFloat(document.getElementById('length').value);\n\n \/\/ Calculate results\n const r = Math.sqrt(I \/ A);\n const Lc = mu1 * L;\n const lambda = Lc \/ r;\n const sigma = N \/ A;\n\n \/\/ Display results\n document.getElementById('resultsSection').classList.add('show');\n document.getElementById('radiusValue').textContent = r.toFixed(2);\n document.getElementById('calcLengthValue').textContent = Lc.toFixed(2);\n document.getElementById('slendernessValue').textContent = lambda.toFixed(2);\n document.getElementById('stressValue').textContent = sigma.toFixed(2);\n }\n };\n\n \/\/ \u7b49\u5f85DOM\u52a0\u8f7d\u5b8c\u6210\u540e\u521d\u59cb\u5316\n if (document.readyState === 'loading') {\n document.addEventListener('DOMContentLoaded', () => calculator.init());\n } else {\n calculator.init();\n }\n })();\n <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>Optimize your structural engineering projects with our Axially Compressed Column Stability Calculator. 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