{"id":1023,"date":"2024-09-23T14:59:06","date_gmt":"2024-09-23T12:59:06","guid":{"rendered":"https:\/\/solveredu.com\/?p=1023"},"modified":"2026-01-27T23:49:50","modified_gmt":"2026-01-27T22:49:50","slug":"statyczna-wyznaczalnosc","status":"publish","type":"post","link":"https:\/\/solveredu.com\/zh\/post\/statyczna-wyznaczalnosc\/","title":{"rendered":"\u9759\u6001\u53ef\u786e\u5b9a\u6027"},"content":{"rendered":"

\u5728\u672c\u6587\u7ae0\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u9759\u529b\u4e0d\u786e\u5b9a\u5ea6\uff1f\u5982\u4f55\u786e\u5b9a\u4e00\u4e2a\u7cfb\u7edf\uff08\u6881\u3001\u6846\u67b6\u3001\u6841\u67b6\uff09\u662f\u5426\u9759\u529b\u786e\u5b9a\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u4e86\u89e3\u6211\u4eec\u5728\u529b\u5b66\u4e2d\u53ef\u80fd\u9047\u5230\u7684\u652f\u6491\u60c5\u51b5\u3002.<\/p>\n\n\n\n

<\/p>\n\n\n\n

\u9759\u6001\u7cfb\u7edf\u662f\u6307\u9759\u6b62\u4e0d\u52a8\u7684\u7cfb\u7edf\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u5728\u5916\u529b\u4f5c\u7528\u4e0b\u4e0d\u4f1a\u79fb\u52a8\u3002\u5982\u679c\u5b83\u80fd\u8fd0\u52a8\uff0c\u90a3\u4e48\u5b83\u5c31\u662f\u4e00\u4e2a\u673a\u68b0\u88c5\u7f6e\u3002.<\/p>\n\n\n\n

\u6211\u4eec\u5c06\u8ba8\u8bba\u7269\u4f53\u8fd0\u52a8\u7684\u529b\u5b66\u5206\u652f\u662f\u8fd0\u52a8\u5b66\u548c\u52a8\u529b\u5b66\u3002. \u9759\u529b\u5b66<\/strong> \u662f\u6307\u5404\u90e8\u5206\u5904\u4e8e\u9759\u6b62\u72b6\u6001\u7684\u529b\u5b66\u90e8\u5206\uff0c\u8981\u505a\u5230\u8fd9\u4e00\u70b9\uff0c\u5fc5\u987b\u6ee1\u8db3\u51e0\u4e2a\u6761\u4ef6\u3002.<\/p>\n\n\n\n

\u5728\u6b64\u6761\u76ee\u4e2d<\/p>\n\n\n\n

    \n
  1. \u652f\u6301\u3002\u7c7b\u578b\u548c\u7b26\u53f7<\/a><\/li>\n\n\n\n
  2. \u9759\u6001\u975e\u6307\u5b9a\u7a0b\u5ea6<\/a><\/li>\n\n\n\n
  3. \u53ef\u9759\u6001\u786e\u5b9a\u7684\u7cfb\u7edf<\/a><\/li>\n\n\n\n
  4. \u9759\u6001\u4e0d\u786e\u5b9a\u7cfb\u7edf<\/a><\/li>\n\n\n\n
  5. \u673a\u5236<\/a><\/li>\n<\/ol>\n\n\n\n

    <\/p>\n\n\n\n

    \u652f\u6301\u3002\u7c7b\u578b\u548c\u7b26\u53f7<\/strong><\/h1>\n\n\n\n

    \u4e3a\u4e86\u4f7f\u7cfb\u7edf\u4fdd\u6301\u9759\u6b62\uff0c\u6211\u4eec\u9700\u8981\u4e3a\u5176\u63d0\u4f9b\u652f\u6301\u3002\u5728\u529b\u5b66\u4f5c\u4e1a\u4e2d\uff0c\u60a8\u6700\u5e38\u9047\u5230\u7684\u652f\u6491\u7269\u5982\u4e0b\u6240\u793a\u3002\u5728\u56fe\u4e2d\uff0c\u5b83\u4eec\u88ab\u6807\u8bb0\u4e3a \u652f\u6301\u53cd\u5e94<\/strong> \u4e3a\u4e2a\u4eba\u63d0\u4f9b\u652f\u6301\uff1a<\/p>\n\n\n\n

    \"\u975e\u6ed1\u52a8\u67a2\u8f74\u652f\u6301\uff0cSolverEdu\"
    \u975e\u6ed1\u52a8\u67a2\u8f74\u652f\u67b6<\/figcaption><\/figure>\n\n\n\n
    \"\"
    \u6ed1\u52a8\u63a5\u5934\u652f\u6491<\/figcaption><\/figure>\n\n\n\n
    \"\"
    \u9650\u5236<\/figcaption><\/figure>\n\n\n\n
    \"\"
    \u8054\u5408<\/figcaption><\/figure>\n\n\n\n
    \u4e0a\u8ff0\u6240\u6709\u652f\u6301\u90fd\u53ef\u4ee5\u5728\u5e94\u7528\u7a0b\u5e8f\u4e2d\u627e\u5230 \u5149\u675f\u8ba1\u7b97\u5668<\/u><\/a> \u5728\u8fd9\u91cc\uff0c\u60a8\u53ef\u4ee5\u6d4b\u8bd5\u652f\u6491\u6a2a\u6881\u7cfb\u7edf\u7684\u65b9\u6cd5\u3002.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    \u6211\u4eec\u53ef\u4ee5\u5c06\u9759\u6001\u7cfb\u7edf\u5206\u4e3a\u4e24\u7c7b\uff1a<\/p>\n\n\n\n

      \n
    1. \u53ef\u9759\u6001\u786e\u5b9a\u7684\u7cfb\u7edf - \u8fd9\u79cd\u7cfb\u7edf\u7684\u9759\u6001\u975e\u786e\u5b9a\u6027\u7a0b\u5ea6\u4e3a\u96f6\u3002.<\/li>\n\n\n\n
    2. \u9759\u6001\u4e0d\u786e\u5b9a\u7cfb\u7edf - \u8fd9\u79cd\u7cfb\u7edf\u7684\u9759\u6001\u4e0d\u786e\u5b9a\u7a0b\u5ea6\u5927\u4e8e\u96f6\u3002.<\/li>\n<\/ol>\n\n\n\n

      \u9759\u6001\u975e\u6307\u5b9a\u7a0b\u5ea6<\/strong><\/h2>\n\n\n\n

      \u8981\u8ba1\u7b97\u7ed9\u5b9a\u7cfb\u7edf\u7684\u9759\u6001\u65e0\u5dee\u522b\u7a0b\u5ea6\uff0c\u53ef\u4ee5\u4f7f\u7528\u4e0b\u9762\u7684\u516c\u5f0f\u3002\u5728\u8ba1\u7b97 \u5149\u675f<\/strong> i \u516c\u7f8a<\/strong>.<\/p>\n\n\n\n

      N=R-J-3<\/em>
      \u5728\u54ea\u91cc\uff1f
      N - \u9759\u6001\u7a0b\u5ea6\u4e0d\u786e\u5b9a
      R - \u652f\u5ea7\u53cd\u5e94\u6570\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u7684\u652f\u6301\u7269\u7684\u6240\u6709\u53cd\u5e94\u7684\u603b\u548c
      J - \u5185\u90e8\u63a5\u5934\u6570\u91cf - \u5982\u679c\u4e0d\u5b58\u5728 P=0
      3 - \u5e73\u8861\u65b9\u7a0b\u7684\u6570\u76ee\u3002\u5728\u9759\u6001\u7cfb\u7edf\u4e2d\u4e3a 3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

      <\/p>\n\n\n\n

      \u5bf9\u4e8e \u6841\u67b6<\/strong> \u6211\u4eec\u5c06\u4f7f\u7528\u5982\u4e0b\u516c\u5f0f<\/p>\n\n\n\n

      2n = m + r<\/em>
      \u5728\u54ea\u91cc\uff1f
      n - \u6841\u67b6\u8282\u70b9\u6570
      m--\u6841\u67b6\u6784\u4ef6\u6570\uff08\u6784\u4ef6\uff09
      r - \u652f\u6301\u53cd\u5e94\u6570<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

      <\/p>\n\n\n\n

      \u5982\u679c\u6ee1\u8db3\u4e0a\u8ff0\u5173\u7cfb\uff0c\u5219\u6841\u67b6\u662f\u53ef\u786e\u5b9a\u7684\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u52a0\u500d\u8282\u70b9\u6570\u5fc5\u987b\u7b49\u4e8e\u6746\u4ef6\u6570\u548c\u53cd\u529b\u6570\u7684\u603b\u548c\u3002.<\/p>\n\n\n\n

      \u53ef\u9759\u6001\u786e\u5b9a\u7684\u7cfb\u7edf<\/strong><\/h3>\n\n\n\n

      \u90a3\u4e48\uff0c\u4ec0\u4e48\u662f\u9759\u6001\u53ef\u786e\u5b9a\u6027\u5462\uff1f\u53ef\u9759\u529b\u786e\u5b9a\u6027\u7cfb\u7edf\u662f\u6307\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u51fa\u652f\u6491\u53cd\u529b\u7684\u7cfb\u7edf\u3002\u4f8b\u5982\uff0c\u5982\u679c\u4f7f\u7528\u4e09\u4e2a\u5e73\u8861\u65b9\u7a0b\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u51fa\u6240\u6709\u7684\u53cd\u4f5c\u7528\u529b\uff0c\u90a3\u4e48\u6211\u4eec\u7684\u6881\u6216\u5c06\u662f\u9759\u6001\u53ef\u786e\u5b9a\u7684\u3002\u8fd9\u79cd\u7cfb\u7edf\u7684\u9759\u6001\u4e0d\u786e\u5b9a\u5ea6\u4e3a\u96f6\u3002.<\/p>\n\n\n\n

      N=0<\/p>\n\n\n\n

      \u4f7f\u7528\u4e0a\u8ff0\u516c\u5f0f<\/p>\n\n\n\n

      n=r-j-3 => n=3 - 0 - 3 = 0<\/p>\n\n\n\n

      \u5728\u54ea\u91cc\uff1f<\/p>\n\n\n\n

      R=3 - \u6211\u4eec\u7684\u652f\u6491\u7269\u7684\u6240\u6709\u53cd\u5e94\u603b\u548c<\/p>\n\n\n\n

      J=0 \u5185\u90e8\u63a5\u5934\u6570\u91cf\uff0c\u4e0d\u5b58\u5728<\/p>\n\n\n\n

      3 - \u5e73\u8861\u65b9\u7a0b\u6570<\/p>\n\n\n\n

      \u5bf9\u4e8e\u4e00\u4e2a\u7b80\u5355\u7684\u6841\u67b6\uff0c\u8ba1\u7b97\u7ed3\u679c\u5982\u4e0b\uff1a<\/p>\n\n\n\n

      2n = m + r => 2*5 = 7 + 3 => 10 = 10<\/em><\/p>\n\n\n\n

      \u5728\u54ea\u91cc\uff1f<\/p>\n\n\n\n

      n = 5 - \u8282\u70b9\u6570<\/p>\n\n\n\n

      m = 7 - \u6841\u67b6\u6784\u4ef6\u6570<\/p>\n\n\n\n

      r = 3 - \u652f\u6301\u53cd\u5e94\u6570<\/p>\n\n\n\n

      \u9759\u6001\u4e0d\u786e\u5b9a\u7cfb\u7edf<\/strong><\/h3>\n\n\n\n

      \u9759\u6001\u4e0d\u786e\u5b9a\u7cfb\u7edf\u662f\u6307\u6211\u4eec\u65e0\u6cd5\u8ba1\u7b97\u652f\u6491\u53cd\u5e94\u7684\u7cfb\u7edf\u3002\u6b64\u7c7b\u7cfb\u7edf\u7684\u9759\u6001\u4e0d\u786e\u5b9a\u5ea6\u5927\u4e8e\u96f6\u3002\u652f\u6491\u53cd\u5e94\u7684\u672a\u77e5\u6570\u6570\u91cf\u5927\u4e8e\u5e73\u8861\u65b9\u7a0b\u7684\u6570\u91cf\u3002.<\/p>\n\n\n\n

      N > 0<\/p>\n\n\n\n

      \u5728\u54ea\u91cc\uff1f<\/p>\n\n\n\n

      R=5 - \u6211\u4eec\u652f\u6301\u7684\u6240\u6709\u53cd\u5e94\u7684\u603b\u548c<\/p>\n\n\n\n

      J=0 - \u5185\u90e8\u63a5\u5934\u6570\u91cf\uff0c\u4e0d\u5b58\u5728<\/p>\n\n\n\n

      3 - \u5e73\u8861\u65b9\u7a0b\u6570<\/p>\n\n\n\n

      \u6881\u4e24\u6b21\u9759\u6001\u4e0d\u786e\u5b9a--\uff08\u7ed3\u679c N=2\uff09<\/p>\n\n\n\n

      \u8fd9\u6837\u7684\u7cfb\u7edf\u662f\u50f5\u786c\u7684\uff0c\u4e0d\u53ef\u80fd\u5de5\u4f5c\u3002\u6881\u5728\u8377\u8f7d\u6216\u6e29\u5ea6\u53d8\u5316\u4e0b\u4e0d\u53ef\u80fd\u53d1\u751f\u4f4d\u79fb\uff0c\u6362\u53e5\u8bdd\u8bf4\uff0c\u4e0d\u53ef\u80fd\u5de5\u4f5c\u3002.<\/p>\n\n\n\n

      \u673a\u5236<\/strong><\/h3>\n\n\n\n

      \u6211\u8981\u8ba8\u8bba\u7684\u6700\u540e\u4e00\u7c7b\u7cfb\u7edf\u662f\u5177\u6709\u8fd0\u52a8\u53ef\u80fd\u6027\u7684\u7cfb\u7edf--\u673a\u5236\u3002\u8fd9\u7c7b\u7cfb\u7edf\u7684\u9759\u6001\u4e0d\u786e\u5b9a\u6027\u7a0b\u5ea6\u662f\u8d1f\u7684\u3002.<\/p>\n\n\n\n

      N < 0<\/p>\n\n\n\n

      n=r-j-3 => n=2-0- 3 = -1<\/p>\n\n\n\n

      \u9759\u6001\u975e\u51f8\u8bdd\u9898\u5230\u6b64\u7ed3\u675f\uff0c\u8c22\u8c22\u5927\u5bb6\uff0c\u6b22\u8fce\u6d4f\u89c8\u5176\u4ed6\u5e16\u5b50\ud83d\ude0a\u3002<\/p>","protected":false},"excerpt":{"rendered":"

      W tym wpisie dowiesz si\u0119 co to jest stopie\u0144 statycznej niewyznaczalno\u015bci? W jaki spos\u00f3b wyznaczy\u0107 czy uk\u0142ad (belka, rama, kratownica) jest statycznie wyznaczalna. Dodatkowo poznasz mo\u017cliwe przypadki podp\u00f3r z kt\u00f3rymi spotykamy si\u0119 w zadaniach z mechaniki. Uk\u0142adem statycznym nazywamy taki uk\u0142ad, kt\u00f3ry jest nieruchomy. To znaczy, \u017ce nie mo\u017ce si\u0119 porusza\u0107 pod wp\u0142ywem dzia\u0142ania si\u0142 […]<\/p>\n","protected":false},"author":255930052,"featured_media":1040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_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","enabled":false},"version":2},"_wpas_customize_per_network":false,"jetpack_post_was_ever_published":true},"categories":[14815],"tags":[14842,14844,14843],"class_list":["post-1023","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanika","tag-statyczna-wyznaczalnosc","tag-uklad-statycznie-niewyznaczalny","tag-uklad-statycznie-wyznaczalny"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Reakcja-przegubowa-przesuwna-blad.png?fit=753%2C589&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-gv","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/posts\/1023","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=1023"}],"version-history":[{"count":14,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/posts\/1023\/revisions"}],"predecessor-version":[{"id":3080,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/posts\/1023\/revisions\/3080"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/media\/1040"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/media?parent=1023"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/categories?post=1023"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/zh\/wp-json\/wp\/v2\/tags?post=1023"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}