{"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\/ru\/axially-compressed-column-stability-calculator\/","title":{"rendered":"\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u0438 \u043a\u043e\u043b\u043e\u043d\u043d\u044b, \u0441\u0436\u0430\u0442\u043e\u0439 \u0432 \u043e\u0441\u0435\u0432\u043e\u043c \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0438"},"content":{"rendered":"<p>\u041e\u043f\u0442\u0438\u043c\u0438\u0437\u0438\u0440\u0443\u0439\u0442\u0435 \u0441\u0432\u043e\u0438 \u043f\u0440\u043e\u0435\u043a\u0442\u044b \u043f\u043e \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044e \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u0439 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043d\u0430\u0448\u0435\u0433\u043e \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u0438 \u043a\u043e\u043b\u043e\u043d\u043d \u043f\u0440\u0438 \u043e\u0441\u0435\u0432\u043e\u043c \u0441\u0436\u0430\u0442\u0438\u0438. \u042d\u0442\u043e\u0442 \u043c\u043e\u0449\u043d\u044b\u0439 \u0438\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u0438\u043d\u0436\u0435\u043d\u0435\u0440\u0430\u043c \u0442\u043e\u0447\u043d\u043e \u043e\u0446\u0435\u043d\u0438\u0432\u0430\u0442\u044c \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c \u043a\u043e\u043b\u043e\u043d\u043d \u043f\u0440\u0438 \u043e\u0441\u0435\u0432\u043e\u043c \u0441\u0436\u0430\u0442\u0438\u0438, \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u044f \u0431\u0435\u0437\u043e\u043f\u0430\u0441\u043d\u043e\u0441\u0442\u044c \u0438 \u044d\u0444\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u044c \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f. \u041d\u0430\u0448 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e \u043f\u043e\u0434\u0445\u043e\u0434\u0438\u0442 \u043a\u0430\u043a \u0434\u043b\u044f \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0446\u0435\u043b\u0435\u0439, \u0442\u0430\u043a \u0438 \u0434\u043b\u044f \u043f\u0440\u043e\u0444\u0435\u0441\u0441\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f, \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u044f \u0431\u044b\u0441\u0442\u0440\u0443\u044e \u0432\u044b\u0434\u0430\u0447\u0443 \u0442\u043e\u0447\u043d\u044b\u0445 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u0432. \u0411\u0443\u0434\u044c\u0442\u0435 \u0432\u043f\u0435\u0440\u0435\u0434\u0438 \u0432 \u0441\u0432\u043e\u0438\u0445 \u043f\u0440\u043e\u0435\u043a\u0442\u0430\u0445, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0435\u0440\u0435\u0434\u043e\u0432\u044b\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043c\u0435\u0442\u043e\u0434\u044b, \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u043e\u0442\u0440\u0430\u0441\u043b\u0435\u0432\u044b\u043c \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0430\u043c. \u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0439\u0442\u0435\u0441\u044c \u043d\u0430\u0448\u0438\u043c \u0443\u0434\u043e\u0431\u043d\u044b\u043c \u0438\u043d\u0442\u0435\u0440\u0444\u0435\u0439\u0441\u043e\u043c \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043d\u0430\u0433\u0440\u0443\u0437\u043a\u0438, \u0434\u043b\u0438\u043d\u044b \u043f\u043e\u0442\u0435\u0440\u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u0438 \u0438 \u0434\u0440\u0443\u0433\u0438\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432, \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0438\u0440\u0443\u044f \u043f\u0440\u043e\u0446\u0435\u0441\u0441 \u043f\u0440\u0438\u043d\u044f\u0442\u0438\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u0439 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445.<\/p>\n\n\n\n<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n    <meta charset=\"UTF-8\">\n    <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n    <title>\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u0438 \u043a\u043e\u043b\u043e\u043d\u043d\u044b, \u0441\u0436\u0430\u0442\u043e\u0439 \u0432 \u043e\u0441\u0435\u0432\u043e\u043c \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0438<\/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>\u041e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432<\/h2>\n            <div class=\"parameters-explanation\">\n                <div class=\"parameter-item\">\n                    <strong>N (\u043e\u0441\u0435\u0432\u0430\u044f \u0441\u0438\u043b\u0430)<\/strong>\n                    <p>\u0421\u0436\u0438\u043c\u0430\u044e\u0449\u0430\u044f \u0441\u0438\u043b\u0430, \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u044e\u0449\u0430\u044f \u0432\u0434\u043e\u043b\u044c \u043f\u0440\u043e\u0434\u043e\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u0438 \u043a\u043e\u043b\u043e\u043d\u043d\u044b.<\/p>\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>A (\u041f\u043b\u043e\u0449\u0430\u0434\u044c \u043f\u043e\u043f\u0435\u0440\u0435\u0447\u043d\u043e\u0433\u043e \u0441\u0435\u0447\u0435\u043d\u0438\u044f)<\/strong>\n                    <p>\u041f\u043b\u043e\u0449\u0430\u0434\u044c \u043f\u043e\u043f\u0435\u0440\u0435\u0447\u043d\u043e\u0433\u043e \u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043a\u043e\u043b\u043e\u043d\u043d\u044b.<\/p>\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>\u03a6 (\u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0433\u0438\u0431\u043a\u043e\u0441\u0442\u0438)<\/strong>\n                    <p>\u041e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u044d\u0444\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0439 \u0434\u043b\u0438\u043d\u044b \u043a \u0440\u0430\u0434\u0438\u0443\u0441\u0443 \u0438\u043d\u0435\u0440\u0446\u0438\u0438.<\/p>\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>I (\u041c\u043e\u043c\u0435\u043d\u0442 \u0438\u043d\u0435\u0440\u0446\u0438\u0438)<\/strong>\n                    <p>\u0412\u0442\u043e\u0440\u043e\u0439 \u043c\u043e\u043c\u0435\u043d\u0442 \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 \u0438\u0437\u0433\u0438\u0431\u0430.<\/p>\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>\u03bc1 (\u044d\u0444\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0439 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0434\u043b\u0438\u043d\u044b)<\/strong>\n                    <p>\u0424\u0430\u043a\u0442\u043e\u0440, \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u044e\u0449\u0438\u0439 \u043a\u043e\u043d\u0435\u0447\u043d\u044b\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u044f \u043a\u043e\u043b\u043e\u043d\u043d\u044b.<\/p>\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>L (\u0434\u043b\u0438\u043d\u0430)<\/strong>\n                    <p>\u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0434\u043b\u0438\u043d\u0430 \u043a\u043e\u043b\u043e\u043d\u043d\u044b.<\/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                    <!-- \u5b9a\u4e49\u7bad\u5934\u6807\u8bb0 -->\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                    <!-- \u5e95\u90e8\u652f\u6491 -->\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                    <!-- \u67f1\u4f53 -->\n                    <rect x=\"175\" y=\"100\" width=\"50\" height=\"350\" fill=\"#3498db\" fill-opacity=\"0.2\" stroke=\"#2980b9\" stroke-width=\"2\"\/>\n\n                    <!-- \u9876\u90e8\u652f\u6491 -->\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                    <!-- \u8f74\u5411\u529b N -->\n                    <line class=\"force-arrow\" x1=\"200\" y1=\"50\" x2=\"200\" y2=\"100\"\/>\n                    <text x=\"220\" y=\"75\" class=\"dimension-text\">\u041d<\/text>\n\n                    <!-- \u957f\u5ea6 L -->\n                    <line class=\"dimension-line\" x1=\"350\" y1=\"100\" x2=\"350\" y2=\"450\"\/>\n                    <text x=\"370\" y=\"275\" class=\"dimension-text\">\u041b<\/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                    <!-- \u622a\u9762\u5c3a\u5bf8 -->\n                    <line class=\"dimension-line\" x1=\"175\" y1=\"275\" x2=\"225\" y2=\"275\"\/>\n                    <text x=\"200\" y=\"265\" class=\"dimension-text\">\u0410<\/text>\n\n                    <!-- \u03bc1 \u6807\u6ce8 -->\n                    <text x=\"150\" y=\"90\" class=\"dimension-text\">\u03bc1<\/text>\n\n                    <!-- \u53c2\u6570\u8bf4\u660e -->\n                    <text x=\"200\" y=\"490\" class=\"dimension-text\" style=\"font-size: 12px\">\n                        \u041f\u043b\u043e\u0449\u0430\u0434\u044c \u043f\u043e\u043f\u0435\u0440\u0435\u0447\u043d\u043e\u0433\u043e \u0441\u0435\u0447\u0435\u043d\u0438\u044f (A), \u0414\u043b\u0438\u043d\u0430 (L), \u042d\u0444\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0439 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0434\u043b\u0438\u043d\u044b (\u03bc1)\n                    <\/text>\n                <\/svg>\n            <\/div>\n        <\/section>\n\n        <section class=\"calculator-section\">\n            <h2>\u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b<\/h2>\n            <form id=\"calculatorForm\" class=\"calculator-form\" action=\"\">\n                <div class=\"input-group\">\n                    <label for=\"axialForce\">\u041e\u0441\u0435\u0432\u0430\u044f \u0441\u0438\u043b\u0430 (\u041d)<\/label>\n                    <input type=\"number\" id=\"axialForce\" name=\"axialForce\" required step=\"any\">\n      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