{"id":3128,"date":"2026-03-06T14:33:37","date_gmt":"2026-03-06T13:33:37","guid":{"rendered":"https:\/\/solveredu.com\/?p=3128"},"modified":"2026-03-06T14:33:42","modified_gmt":"2026-03-06T13:33:42","slug":"beam-deflection-calculation","status":"publish","type":"post","link":"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/","title":{"rendered":"\u6881\u6320\u5ea6\u8ba1\u7b97\uff1a\u4ece\u529b\u77e9\u79ef\u5206\u5230\u5373\u7528\u578b\u8ba1\u7b97\u5668"},"content":{"rendered":"<p class=\"has-text-align-left wp-block-paragraph\" id=\"foo\">\u786e\u5b9a\u6320\u5ea6\u7ebf\u662f\u7ed3\u6784\u8bbe\u8ba1\u7684\u5173\u952e\u6b65\u9aa4\u4e4b\u4e00\u3002\u65e0\u8bba\u60a8\u662f\u51c6\u5907\u53c2\u52a0\u6750\u6599\u5f3a\u5ea6\u7814\u8ba8\u4f1a\u7684\u5b66\u751f\uff0c\u8fd8\u662f\u9a8c\u8bc1\u6784\u4ef6\u521a\u5ea6\u7684\u5de5\u7a0b\u5e08\uff0c\u90fd\u9700\u8981\u4e86\u89e3\u6881\u5728\u8377\u8f7d\u4f5c\u7528\u4e0b\u662f\u5982\u4f55 \u201e\u5de5\u4f5c \u201d\u7684\u3002.<\/p>\n\n\n\n<p class=\"has-text-align-left wp-block-paragraph\">\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u8d70\u5b8c\u6574\u4e2a\u8def\u5f84\uff1a\u4ece\u7ecf\u5178\u7406\u8bba <strong>\u504f\u8f6c\u7ebf\u5fae\u5206\u65b9\u7a0b\u7684\u79ef\u5206<\/strong>, \u901a\u8fc7\u5b9e\u9645\u7ed8\u5236\u65cb\u8f6c\u89d2\u5ea6\u56fe\uff0c\u4e3e\u4f8b\u8bf4\u660e <strong>\u7b80\u652f\u6881<\/strong> \u548c <strong>\u652f\u67b6<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-left wp-block-paragraph\" id=\"foo\">\u5982\u679c\u60a8\u73cd\u60dc\u65f6\u95f4\uff0c\u5e76\u5e0c\u671b\u907f\u514d\u7e41\u7410\u7684\u624b\u5de5\u8ba1\u7b97\uff0c\u90a3\u4e48\u5728\u6587\u7ae0\u672b\u5c3e\uff0c\u60a8\u53ef\u4ee5\u627e\u5230\u6211\u7684 <strong>\u4e13\u6709\u5149\u675f\u8ba1\u7b97\u5668<\/strong>, \u5c06\u5728\u51e0\u79d2\u949f\u5185\u4e3a\u60a8\u6267\u884c\u8fd9\u4e9b\u64cd\u4f5c\u3002\u8ba9\u6211\u4eec\u5f00\u59cb\u5427<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong><a href=\"#Teoria-i-Metodyka\" data-type=\"internal\" data-id=\"#Teoria-i-Metodyka\">\u7406\u8bba\u57fa\u7840\u504f\u8f6c\u7ebf\u5fae\u5206\u65b9\u7a0b<\/a><\/strong><\/li>\n\n\n\n<li><strong><a href=\"#calkowanie\">\u5206\u6790\u65b9\u6cd5\uff1a\u9010\u6b65\u6574\u5408<\/a><\/strong><\/li>\n\n\n\n<li><strong><a href=\"#Przyk\u0142ad1\">\u4f8b 1\uff1a\u7b80\u652f\u6881<\/a><\/strong><\/li>\n\n\n\n<li><strong><a href=\"#Przyk\u0142ad2\">\u793a\u4f8b 2\uff1a\u60ac\u81c2\u6881<\/a><\/strong><\/li>\n\n\n\n<li><strong><a href=\"#Sprawd\u017a\">\u5feb\u901f\u9a8c\u8bc1\uff1a\u4f7f\u7528\u5728\u7ebf\u6a2a\u6881\u8ba1\u7b97\u5668<\/a><\/strong><\/li>\n<\/ol>\n\n\n\n<h2 id=\"Teoria-i-Metodyka\" class=\"wp-block-heading\" style=\"font-size:clamp(16.293px, 1.018rem + ((1vw - 3.2px) * 0.777), 25px);\">1.\u7406\u8bba\u4e0e\u65b9\u6cd5\uff1a\u504f\u8f6c\u4ece\u4f55\u800c\u6765\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6881\u6320\u5ea6\u8ba1\u7b97<\/strong> \u662f\u68c0\u67e5\u53ef\u7528\u6027\u6781\u9650\u72b6\u6001 (SGU) \u7684\u6700\u91cd\u8981\u56e0\u7d20\u4e4b\u4e00\u3002\u8981\u4e86\u89e3\u8fd9\u4e00\u8fc7\u7a0b\uff0c\u6211\u4eec\u9700\u8981\u56de\u5230 <strong>\u6881\u504f\u8f6c\u7ebf\u5fae\u5206\u65b9\u7a0b<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8054\u7cfb\u7684\u57fa\u672c\u5173\u7cfb <strong>\u5f2f\u77e9\u4e0e\u6320\u5ea6<\/strong>, \u7528\u516c\u5f0f\u63cf\u8ff0\uff1a<\/p>\n\n\n\n<div class=\"wp-block-math has-medium-font-size\"><math display=\"block\"><semantics><mrow><mi>E<\/mi><mi>I<\/mi><mo>\u22c5<\/mo><msup><mi>y<\/mi><mrow><mo lspace=\"0em\" rspace=\"0em\" class=\"tml-prime\">\u2032<\/mo><mo lspace=\"0em\" rspace=\"0em\" class=\"tml-prime\">\u2032<\/mo><\/mrow><\/msup><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mo form=\"prefix\" stretchy=\"false\">\u2212<\/mo><mi>M<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">EI \u0192cdot y\u201d(x) = -M(x)<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u54ea\u91cc\uff1f<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><math data-latex=\"EI \"><semantics><mrow><mi>E<\/mi><mi>I<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">EI <\/annotation><\/semantics><\/math>- \u90a3 <strong>\u6881\u7684\u5f2f\u66f2\u521a\u5ea6<\/strong> (E - \u6768\u6c0f\u6a21\u91cf\uff0cI - \u622a\u9762\u60ef\u6027\u77e9\uff09\u3002.<\/li>\n\n\n\n<li><math data-latex=\"y''(x)\"><semantics><mrow><msup><mi>y<\/mi><mrow><mo lspace=\"0em\" rspace=\"0em\" class=\"tml-prime\">\u2032<\/mo><mo lspace=\"0em\" rspace=\"0em\" class=\"tml-prime\">\u2032<\/mo><\/mrow><\/msup><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">y\u201d(x)<\/annotation><\/semantics><\/math> - \u662f\u6320\u5ea6\uff08\u66f2\u7387\uff09\u7684\u4e8c\u9636\u5bfc\u6570\u3002.<\/li>\n\n\n\n<li><math data-latex=\"M(x)\"><semantics><mrow><mi>M<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">M(x)<\/annotation><\/semantics><\/math> - \u662f\u7ed9\u5b9a\u622a\u9762\u4e0a\u5f2f\u77e9\u7684\u51fd\u6570\u3002.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u6211\u4eec\u7684\u7533\u8bf7 <strong>\u6320\u5ea6\u8ba1\u7b97\u7684\u5206\u6790\u65b9\u6cd5<\/strong> \u5c31\u662f\u5c06\u8fd9\u4e00\u65b9\u7a0b\u8fdb\u884c\u53cc\u91cd\u6807\u91cf\uff0c\u4ece\u5185\u529b\u8f6c\u5411\u90e8\u4ef6\u7684\u5b9e\u9645\u53d8\u5f62\u3002.<\/p>\n\n\n\n<h2 id=\"calkowanie\" class=\"wp-block-heading\" style=\"font-size:clamp(16.293px, 1.018rem + ((1vw - 3.2px) * 0.777), 25px);\">2. \u9010\u6b65\u79ef\u5206\u504f\u8f6c\u7ebf\u65b9\u7a0b<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6881\u6320\u5ea6\u8ba1\u7b97\u7684\u8fd9\u4e00\u90e8\u5206\u901a\u5e38\u662f\u6700\u5bb9\u6613\u51fa\u95ee\u9898\u7684\u5730\u65b9\uff0c\u56e0\u4e3a\u5176\u4e2d\u7684\u79ef\u5206\u5e76\u4e0d\u662f\u6bcf\u4e2a\u4eba\u90fd\u559c\u6b22\u7684\u3002\u5c31\u6881\u7684\u5f2f\u77e9\u65b9\u7a0b\u800c\u8a00\uff0c\u5b83\u4eec\u901a\u5e38\u662f\u7b80\u5355\u7684\u79ef\u5206\u51fd\u6570\uff0c\u56e0\u6b64\u65e0\u9700\u62c5\u5fc3\u3002. <strong>\u504f\u8f6c\u7ebf\u65b9\u7a0b\u7684\u79ef\u5206<\/strong> \u5206\u4e24\u4e2a\u9636\u6bb5\u8fdb\u884c\uff1a<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>\u7b2c\u4e00\u6b21\u6574\u5408\uff1a<\/strong> \u53ef\u4ee5\u83b7\u5f97\u6a2a\u622a\u9762\u65cb\u8f6c\u89d2\u5ea6\u7684\u51fd\u6570 <math data-latex=\"\\theta(x)\"><semantics><mrow><mi>\u03b8<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\`theta(x)<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><strong>\u7b2c\u4e8c\u6b21\u6574\u5408\uff1a<\/strong> \u53ef\u786e\u5b9a\u6320\u5ea6\u51fd\u6570 <math data-latex=\"y(x)\"><semantics><mrow><mi>y<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">y(x)<\/annotation><\/semantics><\/math>, \uff0c\u8fd9\u5c31\u662f\u8981\u5bfb\u627e\u7684\u504f\u8f6c\u7ebf\u3002.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\uff0c\u4f1a\u51fa\u73b0\u79ef\u5206\u5e38\u6570 C1 \u548c C2\u3002\u4e3a\u4e86\u786e\u5b9a\u5b83\u4eec\uff0c\u6211\u4eec\u9700\u8981\u5b9a\u4e49\u6240\u8c13\u7684 \"\u79ef\u5206\u5e38\u6570\"\u3002. <strong>\u521d\u59cb\u6761\u4ef6<\/strong>, \u56e0\u6881\u7684\u652f\u6491\u65b9\u5f0f\u800c\u4ea7\u751f\u7684\u504f\u5dee\uff08\u5982\u652f\u6491\u5904\u65e0\u504f\u5dee\uff09\u3002.<\/p>\n\n\n\n<h2 id=\"Przyk\u0142ad1\" class=\"wp-block-heading\" style=\"font-size:clamp(16.293px, 1.018rem + ((1vw - 3.2px) * 0.777), 25px);\">3 \u4f8b 1\uff1a\u7b80\u652f\u6881--\u6320\u5ea6\u548c\u8ba1\u7b97<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u5efa\u7b51\u884c\u4e1a\u6700\u5e38\u89c1\u7684\u60c5\u51b5\u3002. <strong>\u7b80\u652f\u6881\u53ca\u5176\u6320\u5ea6<\/strong> \u96c6\u4e2d\u8377\u8f7d\u6216\u5747\u5300\u8377\u8f7d\u662f\u8003\u8bd5\u4efb\u52a1\u4e2d\u7684\u7ecf\u5178\u9879\u76ee\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0b\u9762\u662f\u8ba1\u7b97\u6a2a\u6881\u6320\u5ea6\u7684\u793a\u4f8b\u89e3\u51b3\u65b9\u6848\u3002\u5728\u793a\u4f8b\u89e3\u51b3\u65b9\u6848\u4e2d\uff0c\u6211\u4f7f\u7528\u4e86 <a href=\"https:\/\/solveredu.com\/zh\/beam-calculator\/\" data-type=\"page\" data-id=\"166\">\u5149\u675f\u8ba1\u7b97\u5668<\/a> \u6211\u5411\u4f60\u4eec\u63a8\u8350.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u6211\u4eec\u7684\u793a\u4f8b\u4e2d\uff0c\u6709\u4e00\u6839 2 \u7c73\u957f\u7684\u6a2a\u6881\uff0c\u4e24\u7aef\u6709\u652f\u6491\uff0c\u8d1f\u8f7d\u4e3a\u6301\u7eed\u8377\u8f7d q \u548c\u96c6\u4e2d\u529b F\u3002. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"724\" height=\"668\" data-attachment-id=\"3143\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/1-5\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1.jpg?fit=724%2C668&amp;ssl=1\" data-orig-size=\"724,668\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1.jpg?fit=724%2C668&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1.jpg?resize=724%2C668&#038;ssl=1\" alt=\"\u4e00\u6839\u957f 2 \u7c73\u3001\u4e24\u7aef\u6709\u652f\u6491\u7684\u6a2a\u6881\uff0c\u627f\u53d7\u6301\u7eed\u8377\u8f7d q \u548c\u96c6\u4e2d\u529b F\uff0c\u6c42\u89e3\" class=\"wp-image-3143\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1.jpg?w=724&amp;ssl=1 724w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1.jpg?resize=300%2C277&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1.jpg?resize=13%2C12&amp;ssl=1 13w\" sizes=\"auto, (max-width: 724px) 100vw, 724px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u8981\u8ba1\u7b97\u6320\u5ea6\uff0c\u6211\u4eec\u9700\u8981\u5f2f\u77e9\uff0c\u56e0\u6b64\u9996\u5148\u9700\u8981\u901a\u8fc7\u786e\u5b9a\u53cd\u529b\u548c\u5f2f\u77e9\u65b9\u7a0b\u6765\u6c42\u89e3\u6881\u3002\u6709\u5173\u8fd9\u65b9\u9762\u7684\u66f4\u591a\u4fe1\u606f\uff0c\u8bf7\u53c2\u9605 <a href=\"https:\/\/solveredu.com\/zh\/post\/internal-forces-in-beams\/\" data-type=\"post\" data-id=\"899\">\u6761\u76ee<\/a>. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8ba1\u7b97\u652f\u6491\u7269\u4e2d\u7684\u53cd\u5e94\u3002. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"556\" height=\"273\" data-attachment-id=\"3144\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/2-5\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.jpg?fit=556%2C273&amp;ssl=1\" data-orig-size=\"556,273\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.jpg?fit=556%2C273&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.jpg?resize=556%2C273&#038;ssl=1\" alt=\"\" class=\"wp-image-3144\" style=\"aspect-ratio:2.036689370957587;width:406px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.jpg?w=556&amp;ssl=1 556w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.jpg?resize=300%2C147&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.jpg?resize=18%2C9&amp;ssl=1 18w\" sizes=\"auto, (max-width: 556px) 100vw, 556px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u8231\u5ba4\u5f2f\u77e9\u8ba1\u7b97. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"520\" data-attachment-id=\"3145\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/3-4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3.jpg?fit=1114%2C566&amp;ssl=1\" data-orig-size=\"1114,566\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3.jpg?fit=1024%2C520&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3.jpg?resize=1024%2C520&#038;ssl=1\" alt=\"\" class=\"wp-image-3145\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3.jpg?resize=1024%2C520&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3.jpg?resize=300%2C152&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3.jpg?resize=768%2C390&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3.jpg?resize=18%2C9&amp;ssl=1 18w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3.jpg?w=1114&amp;ssl=1 1114w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u65e6\u6211\u4eec\u786e\u5b9a\u4e86\u793a\u4f8b\u6881\u7684\u5f2f\u77e9\u65b9\u7a0b\uff0c\u5c31\u53ef\u4ee5\u8fdb\u884c\u79ef\u5206\u5e76\u786e\u5b9a\u6320\u5ea6\u7ebf\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4f7f\u7528\u4e0a\u4e00\u6b65\u8ba1\u7b97\u51fa\u7684\u5404\u9694\u95f4\u7684\u5f2f\u77e9\u65b9\u7a0b\uff0c\u5e76\u5bf9\u5176\u8fdb\u884c\u4e24\u6b21\u79ef\u5206\u3002\u7b2c\u4e00\u4e2a\u65b9\u7a0b\u7ed9\u51fa\u4e86\u6320\u5ea6\u89d2\u7684\u89e3\uff0c\u7b2c\u4e8c\u4e2a\u65b9\u7a0b\u7ed9\u51fa\u4e86\u6320\u5ea6\u7684\u89e3\u3002\u8fd9\u6837\u6211\u4eec\u5c31\u5f97\u5230\u4e86 4 \u4e2a\u79ef\u5206\u5e38\u6570 C1\u3001C2\u3001C3\u3001C4\u3002. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"718\" height=\"259\" data-attachment-id=\"3147\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/4-3\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/4.jpg?fit=718%2C259&amp;ssl=1\" data-orig-size=\"718,259\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/4.jpg?fit=718%2C259&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/4.jpg?resize=718%2C259&#038;ssl=1\" alt=\"\u6881\u6320\u5ea6\u8ba1\u7b97\uff0c\u6c42\u89e3\" class=\"wp-image-3147\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/4.jpg?w=718&amp;ssl=1 718w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/4.jpg?resize=300%2C108&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/4.jpg?resize=18%2C6&amp;ssl=1 18w\" sizes=\"auto, (max-width: 718px) 100vw, 718px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0b\u4e00\u6b65\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u79ef\u5206\u5e38\u6570\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u521d\u59cb\u6761\u4ef6\u3002.<strong> \u539f\u5219\u662f\uff0c\u6709\u591a\u5c11\u4e2a\u79ef\u5206\u5e38\u6570\uff0c\u6211\u4eec\u5c31\u9700\u8981\u591a\u5c11\u4e2a\u6761\u4ef6<\/strong>- \u5728\u6211\u4eec\u7684\u6848\u4f8b\u4e2d\uff0c4.\u5728\u652f\u5ea7\u4f4d\u7f6e\uff0c\u6211\u4eec\u53ef\u4ee5\u786e\u5b9a\u6881\u4e0d\u4f1a\u53d1\u751f\u504f\u8f6c\uff0c\u56e0\u6b64\u652f\u5ea7\u4f4d\u7f6e\u7684 y(x) \u7b49\u4e8e\u96f6\u3002\u6b64\u5916\uff0c\u6211\u4eec\u77e5\u9053\u5728\u4e24\u4e2a\u9694\u95f4\u7684\u4ea4\u754c\u5904\uff0c\u6320\u5ea6\u548c\u6320\u89d2\u5fc5\u987b\u662f\u8fde\u7eed\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u6709\u4e24\u4e2a\u989d\u5916\u7684\u65b9\u7a0b\u3002.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"522\" height=\"193\" data-attachment-id=\"3149\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/5-3\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5.jpg?fit=522%2C193&amp;ssl=1\" data-orig-size=\"522,193\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5.jpg?fit=522%2C193&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5.jpg?resize=522%2C193&#038;ssl=1\" alt=\"\" class=\"wp-image-3149\" style=\"aspect-ratio:2.7048012306695814;width:439px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5.jpg?w=522&amp;ssl=1 522w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5.jpg?resize=300%2C111&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5.jpg?resize=18%2C7&amp;ssl=1 18w\" sizes=\"auto, (max-width: 522px) 100vw, 522px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u4e86\u8fb9\u754c\u6761\u4ef6\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5c06\u9002\u5f53\u7684\u503c\u4ee3\u5165\u65b9\u7a0b\uff0c\u8ba1\u7b97\u79ef\u5206\u5e38\u6570\u4e86\u3002\u8fd9\u5c31\u662f\u7eaf\u6570\u5b66\u4e86\u3002. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u79ef\u5206\u5e38\u6570\u7684\u8ba1\u7b97\u7ed3\u679c<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"477\" height=\"82\" data-attachment-id=\"3151\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/6-3\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6.jpg?fit=477%2C82&amp;ssl=1\" data-orig-size=\"477,82\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6.jpg?fit=477%2C82&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6.jpg?resize=477%2C82&#038;ssl=1\" alt=\"\" class=\"wp-image-3151\" style=\"aspect-ratio:5.817991233085572;width:414px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6.jpg?w=477&amp;ssl=1 477w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6.jpg?resize=300%2C52&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6.jpg?resize=18%2C3&amp;ssl=1 18w\" sizes=\"auto, (max-width: 477px) 100vw, 477px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c06\u79ef\u5206\u5e38\u6570\u4ee3\u5165\u65b9\u7a0b\u540e\uff0c\u6211\u4eec\u5c31\u5f97\u5230\u4e86\u65b9\u7a0b\u7684\u6700\u7ec8\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"752\" height=\"237\" data-attachment-id=\"3153\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/attachment\/7\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7.jpg?fit=752%2C237&amp;ssl=1\" data-orig-size=\"752,237\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"7\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7.jpg?fit=752%2C237&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7.jpg?resize=752%2C237&#038;ssl=1\" alt=\"\" class=\"wp-image-3153\" style=\"aspect-ratio:3.1733845169545747;width:606px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7.jpg?w=752&amp;ssl=1 752w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7.jpg?resize=300%2C95&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7.jpg?resize=18%2C6&amp;ssl=1 18w\" sizes=\"auto, (max-width: 752px) 100vw, 752px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u65e6\u6211\u4eec\u5f97\u5230\u4e86\u8fd9\u79cd\u5f62\u5f0f\u7684\u65b9\u7a0b\uff0c\u7528 0 \u81f3 2 \u7c73\u4e4b\u95f4\u7684\u6570\u5b57\u4ee3\u66ff x\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u6a2a\u6881\u6cbf\u5176\u957f\u5ea6\u65b9\u5411\u7684\u504f\u8f6c\u7bad\u5934\u548c\u504f\u8f6c\u89d2\u5ea6\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5c06\u5176\u7ed8\u5236\u6210\u56fe\u5f62\u3002. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"759\" height=\"737\" data-attachment-id=\"3155\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/attachment\/8\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/8.jpg?fit=759%2C737&amp;ssl=1\" data-orig-size=\"759,737\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/8.jpg?fit=759%2C737&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/8.jpg?resize=759%2C737&#038;ssl=1\" alt=\"\u7b80\u652f\u6881\u793a\u4f8b\u7684\u6320\u5ea6\u548c\u6320\u89d2\uff0c\u6c42\u89e3\" class=\"wp-image-3155\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/8.jpg?w=759&amp;ssl=1 759w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/8.jpg?resize=300%2C291&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/8.jpg?resize=12%2C12&amp;ssl=1 12w\" sizes=\"auto, (max-width: 759px) 100vw, 759px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h2 id=\"Przyk\u0142ad2\" class=\"wp-block-heading\" style=\"font-size:clamp(16.293px, 1.018rem + ((1vw - 3.2px) * 0.777), 25px);\">\u4f8b 2\uff1a\u60ac\u81c2\u6881--\u6320\u5ea6\u548c\u8ba1\u7b97<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 <strong>\u652f\u67b6\uff0c\u6320\u5ea6\u8ba1\u7b97<\/strong> \u7531\u4e8e\u53d7\u5230\u9650\u5236\uff0c\u770b\u8d77\u6765\u7565\u6709\u4e0d\u540c\u3002W <strong>\u60ac\u81c2\u6881<\/strong> \u6700\u5927\u6320\u5ea6\u548c\u6700\u5927\u65cb\u8f6c\u89d2\u5ea6\u53d1\u751f\u5728\u81ea\u7531\u7aef\u672c\u8eab\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0b\u9762\u662f\u8ba1\u7b97\u6a2a\u6881\u6320\u5ea6\u7684\u793a\u4f8b\u89e3\u51b3\u65b9\u6848\u3002\u5728\u793a\u4f8b\u89e3\u51b3\u65b9\u6848\u4e2d\uff0c\u6211\u4f7f\u7528\u4e86 <a href=\"https:\/\/solveredu.com\/zh\/beam-calculator\/\" data-type=\"page\" data-id=\"166\">\u5149\u675f\u8ba1\u7b97\u5668<\/a> \u6211\u5411\u4f60\u4eec\u63a8\u8350.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u6211\u4eec\u7684\u4f8b\u5b50\u4e2d\uff0c\u6709\u4e00\u6839\u957f\u5ea6\u4e3a L \u7684\u6a2a\u6881\uff0c\u5176\u5de6\u7aef\u5728 A \u70b9\u53d7\u5230\u7ea6\u675f\uff0c\u53e6\u4e00\u7aef\u53d7\u5230 F=5qL \u7684\u96c6\u4e2d\u529b\u4f5c\u7528\u3002.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"695\" height=\"666\" data-attachment-id=\"3158\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/2-1\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.1.jpg?fit=695%2C666&amp;ssl=1\" data-orig-size=\"695,666\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2.1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.1.jpg?fit=695%2C666&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.1.jpg?resize=695%2C666&#038;ssl=1\" alt=\"\u60ac\u81c2\u6881\u957f\u5ea6 L\u3001\u5f2f\u77e9 , \u89e3\u7b97\u5668\" class=\"wp-image-3158\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.1.jpg?w=695&amp;ssl=1 695w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.1.jpg?resize=300%2C287&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.1.jpg?resize=13%2C12&amp;ssl=1 13w\" sizes=\"auto, (max-width: 695px) 100vw, 695px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u8981\u8ba1\u7b97\u6320\u5ea6\uff0c\u6211\u4eec\u9700\u8981\u5f2f\u77e9\uff0c\u56e0\u6b64\u9996\u5148\u9700\u8981\u901a\u8fc7\u786e\u5b9a\u53cd\u529b\u548c\u5f2f\u77e9\u65b9\u7a0b\u6765\u6c42\u89e3\u6881\u3002\u6709\u5173\u8fd9\u65b9\u9762\u7684\u66f4\u591a\u4fe1\u606f\uff0c\u8bf7\u53c2\u9605 <a href=\"https:\/\/solveredu.com\/zh\/post\/internal-forces-in-beams\/\" data-type=\"post\" data-id=\"899\">\u6761\u76ee<\/a>. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8ba1\u7b97\u652f\u6491\u7269\u4e2d\u7684\u53cd\u5e94\u3002. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"366\" height=\"270\" data-attachment-id=\"3160\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/2-3-3\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.3-1.jpg?fit=366%2C270&amp;ssl=1\" data-orig-size=\"366,270\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2.3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.3-1.jpg?fit=366%2C270&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.3-1.jpg?resize=366%2C270&#038;ssl=1\" alt=\"\" class=\"wp-image-3160\" style=\"aspect-ratio:1.3556545896515801;width:283px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.3-1.jpg?w=366&amp;ssl=1 366w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.3-1.jpg?resize=300%2C221&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.3-1.jpg?resize=16%2C12&amp;ssl=1 16w\" sizes=\"auto, (max-width: 366px) 100vw, 366px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u8231\u5ba4\u5f2f\u77e9\u8ba1\u7b97. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"466\" height=\"263\" data-attachment-id=\"3161\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/2-4-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.4.jpg?fit=466%2C263&amp;ssl=1\" data-orig-size=\"466,263\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2.4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.4.jpg?fit=466%2C263&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.4.jpg?resize=466%2C263&#038;ssl=1\" alt=\"\" class=\"wp-image-3161\" style=\"aspect-ratio:1.7719089774820271;width:346px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.4.jpg?w=466&amp;ssl=1 466w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.4.jpg?resize=300%2C169&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.4.jpg?resize=18%2C10&amp;ssl=1 18w\" sizes=\"auto, (max-width: 466px) 100vw, 466px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u786e\u5b9a\u4e86\u793a\u4f8b\u6881\u7684\u5f2f\u77e9\u65b9\u7a0b\u540e\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8fdb\u884c\u79ef\u5206\u5e76\u786e\u5b9a\u6320\u5ea6\u7ebf\u4e86\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4f7f\u7528\u5f2f\u77e9\u65b9\u7a0b\u5e76\u8fdb\u884c\u4e24\u6b21\u79ef\u5206\u3002\u7b2c\u4e00\u4e2a\u65b9\u7a0b\u7ed9\u51fa\u4e86\u6320\u5ea6\u89d2\u7684\u89e3\uff0c\u7b2c\u4e8c\u4e2a\u65b9\u7a0b\u7ed9\u51fa\u4e86\u6320\u5ea6\u7684\u89e3\u3002\u8fd9\u6837\u6211\u4eec\u5c31\u5f97\u5230\u4e86\u4e24\u4e2a\u79ef\u5206\u5e38\u6570 C1 \u548c C2\u3002.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"594\" height=\"165\" data-attachment-id=\"3162\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/2-5-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.5.jpg?fit=594%2C165&amp;ssl=1\" data-orig-size=\"594,165\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2.5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.5.jpg?fit=594%2C165&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.5.jpg?resize=594%2C165&#038;ssl=1\" alt=\"\" class=\"wp-image-3162\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.5.jpg?w=594&amp;ssl=1 594w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.5.jpg?resize=300%2C83&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.5.jpg?resize=18%2C5&amp;ssl=1 18w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0b\u4e00\u6b65\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u79ef\u5206\u5e38\u6570\u3002\u672c\u65b9\u6848\u7684\u5173\u952e\u5728\u4e8e\uff0c\u5728\u7ea6\u675f\u70b9\u5904\uff0c\u6320\u5ea6\u548c\u65cb\u8f6c\u89d2\u5747\u4e3a\u96f6\u3002\u6709\u4e86\u8fd9\u4e00\u70b9 <strong>\u65cb\u8f6c\u548c\u504f\u8f6c\u89d2\u5ea6\u793a\u610f\u56fe<\/strong> \u4ece\u5899\u58c1\u5904\u7684\u96f6\u503c\u5f00\u59cb\uff0c\u5411\u6881\u7aef\u8fc5\u901f\u589e\u52a0\u3002.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"536\" height=\"227\" data-attachment-id=\"3163\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/2-6\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.6.jpg?fit=536%2C227&amp;ssl=1\" data-orig-size=\"536,227\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2.6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.6.jpg?fit=536%2C227&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.6.jpg?resize=536%2C227&#038;ssl=1\" alt=\"\" class=\"wp-image-3163\" style=\"aspect-ratio:2.361489742530635;width:505px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.6.jpg?w=536&amp;ssl=1 536w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.6.jpg?resize=300%2C127&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.6.jpg?resize=18%2C8&amp;ssl=1 18w\" sizes=\"auto, (max-width: 536px) 100vw, 536px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c06\u79ef\u5206\u5e38\u6570\u4ee3\u5165\u65b9\u7a0b\u540e\uff0c\u6211\u4eec\u5c31\u5f97\u5230\u4e86\u65b9\u7a0b\u7684\u6700\u7ec8\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"582\" height=\"136\" data-attachment-id=\"3165\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/2-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.7.jpg?fit=582%2C136&amp;ssl=1\" data-orig-size=\"582,136\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2.7\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.7.jpg?fit=582%2C136&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.7.jpg?resize=582%2C136&#038;ssl=1\" alt=\"\" class=\"wp-image-3165\" style=\"aspect-ratio:4.279551337359793;width:533px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.7.jpg?w=582&amp;ssl=1 582w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.7.jpg?resize=300%2C70&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.7.jpg?resize=18%2C4&amp;ssl=1 18w\" sizes=\"auto, (max-width: 582px) 100vw, 582px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u65e6\u6211\u4eec\u5f97\u5230\u8fd9\u79cd\u5f62\u5f0f\u7684\u65b9\u7a0b\uff0c\u7528 0 \u5230 L \u4e4b\u95f4\u7684\u6570\u5b57\u4ee3\u66ff x\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u6a2a\u6881\u6cbf\u5176\u957f\u5ea6\u65b9\u5411\u7684\u504f\u8f6c\u7bad\u5934\u548c\u504f\u8f6c\u89d2\u5ea6\uff0c\u5e76\u53ef\u4ee5\u7ed8\u5236\u6210\u56fe\u5f62\u3002.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"641\" height=\"618\" data-attachment-id=\"3166\" data-permalink=\"https:\/\/solveredu.com\/zh\/post\/obliczanie-ugiecia-belki\/2-2-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.2.jpg?fit=641%2C618&amp;ssl=1\" data-orig-size=\"641,618\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2.2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.2.jpg?fit=641%2C618&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.2.jpg?resize=641%2C618&#038;ssl=1\" alt=\"\" class=\"wp-image-3166\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.2.jpg?w=641&amp;ssl=1 641w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.2.jpg?resize=300%2C289&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.2.jpg?resize=12%2C12&amp;ssl=1 12w\" sizes=\"auto, (max-width: 641px) 100vw, 641px\" \/><\/figure>\n\n\n\n<h2 id=\"Sprawd\u017a\" class=\"wp-block-heading\" style=\"font-size:clamp(16.293px, 1.018rem + ((1vw - 3.2px) * 0.777), 25px);\">5 \u68c0\u67e5\u7ed3\u679c\uff1a\u5728\u7ebf\u5149\u675f\u8ba1\u7b97\u5668<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u624b\u5de5\u79ef\u5206\u5f2f\u77e9\u662f\u7814\u7a76\u6750\u6599\u5f3a\u5ea6\u6700\u91cd\u8981\u7684\u6280\u80fd\u4e4b\u4e00\u3002\u901a\u8fc7\u5b83\uff0c\u4f60\u624d\u80fd\u771f\u6b63\u5f00\u59cb\u4e86\u89e3\u6881\u7684\u5de5\u4f5c\u539f\u7406\u3002\u95ee\u9898\u662f\uff0c\u5728\u66f4\u590d\u6742\u7684\u4efb\u52a1\u4e2d\uff0c\u5f88\u5bb9\u6613\u72af\u4e00\u4e2a\u5c0f\u9519\u8bef--\u5f2f\u77e9\u7684\u6807\u8bb0\u3001\u8fb9\u754c\u6761\u4ef6\u4e66\u5199\u4e0d\u6e05\u6216\u79ef\u5206\u9519\u8bef\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u6211\u521b\u5efa\u4e86\u4e00\u4e2a\u6881\u6320\u5ea6\u8ba1\u7b97\u5668\uff0c\u8ba9\u60a8\u53ef\u4ee5\u5feb\u901f <strong>\u9a8c\u8bc1\u60a8\u7684\u8ba1\u7b97<\/strong> - \u7279\u522b\u662f\u5bf9\u4e8e\u8f83\u96be\u7684\u4f8b\u5b50\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u5de5\u5177\u53ef\u4ee5\u5e2e\u52a9\u60a8\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u68c0\u67e5\u7ed3\u679c<\/strong><br>\u5c06\u624b\u52a8\u8ba1\u7b97\u7684\u89e3\u4e0e\u8ba1\u7b97\u6a21\u578b\u7684\u7ed3\u679c\u8fdb\u884c\u6bd4\u8f83\uff0c\u786e\u4fdd\u79ef\u5206\u548c\u8fb9\u754c\u6761\u4ef6\u6b63\u786e\u65e0\u8bef\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u66f4\u597d\u5730\u4e86\u89e3\u6a2a\u6881\u7684\u6027\u80fd<\/strong><br>\u81ea\u52a8\u751f\u6210\u7684\u526a\u529b\u3001\u5f2f\u77e9\u548c\u6320\u5ea6\u7ebf\u56fe\u6709\u52a9\u4e8e\u4e86\u89e3\u7ed3\u6784\u7684\u5b9e\u9645\u60c5\u51b5\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5904\u7406\u66f4\u56f0\u96be\u7684\u4efb\u52a1<\/strong><br>\u8be5\u5de5\u5177\u652f\u6301\u5404\u79cd\u8d1f\u8f7d\u548c\u652f\u6301\u65b9\u6848\uff0c\u56e0\u6b64\u975e\u5e38\u9002\u5408\u5904\u7406\u5bb6\u5ead\u4f5c\u4e1a\u6216\u9879\u76ee\u4e2d\u66f4\u5177\u6311\u6218\u6027\u7684\u793a\u4f8b\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u60a8\u60f3\u786e\u4fdd\u60a8\u7684\u8ba1\u7b97\u6b63\u786e\u65e0\u8bef\uff0c\u90a3\u4e48 <strong>\u7acb\u5373\u67e5\u770b\u3002.<\/strong><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-69bbf988 wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-text-align-center wp-element-button\" href=\"https:\/\/solveredu.com\/zh\/beam-calculator\/\" style=\"border-top-left-radius:8px;border-top-right-radius:8px;border-bottom-left-radius:8px;border-bottom-right-radius:8px\">\u514d\u8d39\u8bd5\u7528<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u8981\u8ba9\u79ef\u5206\u4e2d\u7684\u4e00\u4e2a\u5c0f\u9519\u8bef\u6bc1\u4e86\u4f60\u7684\u6574\u4e2a\u4f5c\u4e1a\u3002\u9a8c\u8bc1\u60a8\u7684\u8ba1\u7b97\uff0c\u66f4\u5feb\u5730\u5b66\u4e60\u6750\u6599\u5f3a\u5ea6\u3002.<\/p>","protected":false},"excerpt":{"rendered":"<p>Wyznaczanie linii ugi\u0119cia to jeden z kluczowych etap\u00f3w projektowania konstrukcji. Niezale\u017cnie od tego, czy jeste\u015b studentem przygotowuj\u0105cym si\u0119 do kolokwium z wytrzyma\u0142o\u015bci materia\u0142\u00f3w, czy in\u017cynierem weryfikuj\u0105cym sztywno\u015b\u0107 elementu, musisz wiedzie\u0107, jak \u201epracuje\u201d belka pod obci\u0105\u017ceniem. W tym artykule przejdziemy pe\u0142n\u0105 \u015bcie\u017ck\u0119: od klasycznej teorii ca\u0142kowania r\u00f3wnania r\u00f3\u017cniczkowego linii ugi\u0119cia, przez praktyczne rysowanie wykres\u00f3w k\u0105t\u00f3w obrotu, [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":3166,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[14815,14816],"tags":[14846,14820,14845,14847],"class_list":["post-3128","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanika","category-wytrzymalosc-materialow","tag-belka-swobodnie-podparta","tag-rownania-rownowagi","tag-reakcje-podporowe","tag-stateczna-wyznaczalnosc"],"jetpack_publicize_connections":[],"jetpack_shortlink":"https:\/\/wp.me\/pg3flK-Os","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2.2.jpg?fit=641%2C618&ssl=1","_links":{"self":[{"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/posts\/3128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/comments?post=3128"}],"version-history":[{"count":31,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/posts\/3128\/revisions"}],"predecessor-version":[{"id":3175,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/posts\/3128\/revisions\/3175"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/media\/3166"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/media?parent=3128"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/categories?post=3128"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/tags?post=3128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}