{"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\/ja\/post\/statyczna-wyznaczalnosc\/","title":{"rendered":"\u9759\u7684\u6c7a\u5b9a\u53ef\u80fd\u6027"},"content":{"rendered":"

\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u9759\u7684\u4e0d\u6c7a\u5b9a\u6027\u3068\u306f\u4f55\u304b\uff1f\u30b7\u30b9\u30c6\u30e0\uff08\u6881\u3001\u30d5\u30ec\u30fc\u30e0\u3001\u30c8\u30e9\u30b9\uff09\u304c\u9759\u7684\u306b\u78ba\u5b9a\u7684\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u3002\u3055\u3089\u306b\u3001\u529b\u5b66\u3067\u906d\u9047\u3059\u308b\u53ef\u80fd\u6027\u306e\u3042\u308b\u652f\u6301\u306e\u30b1\u30fc\u30b9\u306b\u3064\u3044\u3066\u3082\u5b66\u3073\u307e\u3059\u3002.<\/p>\n\n\n\n

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

\u9759\u7684\u30b7\u30b9\u30c6\u30e0\u3068\u306f\u3001\u9759\u6b62\u3057\u3066\u3044\u308b\u30b7\u30b9\u30c6\u30e0\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u3064\u307e\u308a\u3001\u5916\u529b\u304c\u4f5c\u7528\u3057\u3066\u3082\u52d5\u304b\u306a\u3044\u3002\u3082\u3057\u52d5\u304f\u3068\u3059\u308c\u3070\u3001\u305d\u308c\u306f\u30e1\u30ab\u30cb\u30ba\u30e0\u3067\u3042\u308b\u3002.<\/p>\n\n\n\n

\u529b\u5b66\u306e\u4e2d\u3067\u7269\u4f53\u306e\u52d5\u304d\u3092\u6271\u3046\u306e\u306f\u904b\u52d5\u5b66\u3068\u529b\u5b66\u3067\u3042\u308b\u3002. \u9759\u529b\u5b66<\/strong> \u3053\u306e\u5834\u5408\u3001\u3044\u304f\u3064\u304b\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002.<\/p>\n\n\n\n

\u3053\u306e\u30a8\u30f3\u30c8\u30ea\u30fc\u3067\u306f<\/p>\n\n\n\n

    \n
  1. \u30b5\u30dd\u30fc\u30c8\u7a2e\u985e\u3068\u8a18\u53f7<\/a><\/li>\n\n\n\n
  2. \u9759\u7684\u975e\u6307\u5b9a\u5ea6<\/a><\/li>\n\n\n\n
  3. \u9759\u7684\u306b\u6c7a\u5b9a\u53ef\u80fd\u306a\u30b7\u30b9\u30c6\u30e0<\/a><\/li>\n\n\n\n
  4. \u9759\u7684\u4e0d\u5b9a\u7cfb<\/a><\/li>\n\n\n\n
  5. \u30e1\u30ab\u30cb\u30ba\u30e0<\/a><\/li>\n<\/ol>\n\n\n\n

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

    \u30b5\u30dd\u30fc\u30c8\u7a2e\u985e\u3068\u8a18\u53f7<\/strong><\/h1>\n\n\n\n

    \u30b7\u30b9\u30c6\u30e0\u3092\u9759\u6b62\u3055\u305b\u308b\u305f\u3081\u306b\u306f\u3001\u305d\u308c\u3092\u30b5\u30dd\u30fc\u30c8\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u529b\u5b66\u306e\u8ab2\u984c\u3067\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u30b5\u30dd\u30fc\u30c8\u306b\u51fa\u4f1a\u3046\u3053\u3068\u304c\u591a\u3044\u3002\u56f3\u3067\u306f \u652f\u6301\u53cd\u5fdc<\/strong> \u500b\u3005\u306e\u30b5\u30dd\u30fc\u30c8\u306b\uff1a<\/p>\n\n\n\n

    \"\u30b9\u30e9\u30a4\u30c9\u3057\u306a\u3044\u30d4\u30dc\u30c3\u30c8\u30b5\u30dd\u30fc\u30c8\u3001SolverEdu\"
    \u30b9\u30e9\u30a4\u30c9\u3057\u306a\u3044\u30d4\u30dc\u30c3\u30c8\u30b5\u30dd\u30fc\u30c8<\/figcaption><\/figure>\n\n\n\n
    \"\"
    \u30b9\u30e9\u30a4\u30c7\u30a3\u30f3\u30b0\u30fb\u30b8\u30e7\u30a4\u30f3\u30c8\u30fb\u30b5\u30dd\u30fc\u30c8<\/figcaption><\/figure>\n\n\n\n
    \"\"
    \u4fee\u7406<\/figcaption><\/figure>\n\n\n\n
    \"\"
    \u30b8\u30e7\u30a4\u30f3\u30c8<\/figcaption><\/figure>\n\n\n\n
    \u524d\u8ff0\u3057\u305f\u3059\u3079\u3066\u306e\u30b5\u30dd\u30fc\u30c8\u306f\u3001\u30a2\u30d7\u30ea\u3067\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002 \u30d3\u30fc\u30e0\u8a08\u7b97\u6a5f<\/u><\/a> \u3053\u3053\u3067\u306f\u3001\u6881\u306e\u652f\u6301\u65b9\u6cd5\u3092\u30c6\u30b9\u30c8\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    \u9759\u7684\u30b7\u30b9\u30c6\u30e0\u306f2\u3064\u306e\u30bf\u30a4\u30d7\u306b\u5206\u3051\u3089\u308c\u308b\uff1a<\/p>\n\n\n\n

      \n
    1. \u9759\u7684\u306b\u6c7a\u5b9a\u53ef\u80fd\u306a\u30b7\u30b9\u30c6\u30e0 - \u3053\u306e\u3088\u3046\u306a\u30b7\u30b9\u30c6\u30e0\u306e\u9759\u7684\u975e\u6c7a\u5b9a\u6027\u306e\u5ea6\u5408\u3044\u306f\u30bc\u30ed\u3067\u3042\u308b\u3002.<\/li>\n\n\n\n
    2. \u9759\u7684\u4e0d\u78ba\u5b9a\u6027\u30b7\u30b9\u30c6\u30e0 - \u3053\u306e\u3088\u3046\u306a\u30b7\u30b9\u30c6\u30e0\u306e\u9759\u7684\u4e0d\u78ba\u5b9a\u6027\u306e\u7a0b\u5ea6\u306f\u30bc\u30ed\u3088\u308a\u5927\u304d\u3044\u3002.<\/li>\n<\/ol>\n\n\n\n

      \u9759\u7684\u975e\u6307\u5b9a\u5ea6<\/strong><\/h2>\n\n\n\n

      \u4e0e\u3048\u3089\u308c\u305f\u30b7\u30b9\u30c6\u30e0\u306e\u9759\u7684\u975e\u8b58\u5225\u6027\u306e\u7a0b\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u3053\u306e\u5f0f\u306f \u30d3\u30fc\u30e0\u30b9<\/strong> i \u30e9\u30e0<\/strong>.<\/p>\n\n\n\n

      N=R-J-3<\/em>
      \u3069\u3053\u3067\u3060\uff1a
      N - \u6c7a\u5b9a\u7684\u3067\u306a\u3044\u9759\u7684\u5ea6
      R - \u30b5\u30dd\u30fc\u30c8\u306e\u53cd\u5fdc\u6570\u3002\u3064\u307e\u308a\u3001\u30b5\u30dd\u30fc\u30c8\u306b\u5bfe\u3059\u308b\u3059\u3079\u3066\u306e\u53cd\u5fdc\u306e\u5408\u8a08\u3067\u3042\u308b\u3002
      J - \u5185\u90e8\u30b8\u30e7\u30a4\u30f3\u30c8\u306e\u6570 - \u5b58\u5728\u3057\u306a\u3044\u5834\u5408 P=0
      3 - \u5e73\u8861\u65b9\u7a0b\u5f0f\u306e\u6570\u3002\u9759\u7684\u30b7\u30b9\u30c6\u30e0\u3067\u306f3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

      \u306b\u3064\u3044\u3066 \u30c8\u30e9\u30b9<\/strong> \u3067\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b\uff1a<\/p>\n\n\n\n

      2n = m + r<\/em>
      \u3069\u3053\u3067\u3060\uff1a
      n - \u30c8\u30e9\u30b9\u7bc0\u70b9\u306e\u6570
      m - \u30c8\u30e9\u30b9\u90e8\u6750\uff08\u30e1\u30f3\u30d0\u30fc\uff09\u306e\u6570
      r - \u652f\u6301\u53cd\u5fdc\u306e\u6570<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

      \u30c8\u30e9\u30b9\u306f\u3001\u4e0a\u8a18\u306e\u95a2\u4fc2\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308c\u3070\u6c7a\u5b9a\u53ef\u80fd\u3067\u3042\u308b\u3002\u3064\u307e\u308a\u3001\u7bc0\u70b9\u306e2\u500d\u306e\u6570\u306f\u3001\u68d2\u3068\u53cd\u529b\u306e\u6570\u306e\u548c\u306b\u7b49\u3057\u304f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002.<\/p>\n\n\n\n

      \u9759\u7684\u306b\u6c7a\u5b9a\u53ef\u80fd\u306a\u30b7\u30b9\u30c6\u30e0<\/strong><\/h3>\n\n\n\n

      \u3067\u306f\u3001\u3053\u306e\u9759\u7684\u6c7a\u5b9a\u53ef\u80fd\u6027\u3068\u306f\u4f55\u3060\u308d\u3046\u304b\uff1f\u9759\u7684\u306b\u6c7a\u5b9a\u53ef\u80fd\u306a\u30b7\u30b9\u30c6\u30e0\u3068\u306f\u3001\u652f\u6301\u53cd\u5fdc\u3092\u8a08\u7b97\u3067\u304d\u308b\u30b7\u30b9\u30c6\u30e0\u306e\u3053\u3068\u3067\u3059\u3002\u4f8b\u3048\u3070\u30013\u3064\u306e\u5e73\u8861\u65b9\u7a0b\u5f0f\u3092\u4f7f\u3063\u3066\u3059\u3079\u3066\u306e\u53cd\u4f5c\u7528\u3092\u8a08\u7b97\u3067\u304d\u308c\u3070\u3001\u6881\u306f\u9759\u7684\u306b\u6c7a\u5b9a\u53ef\u80fd\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u30b7\u30b9\u30c6\u30e0\u306e\u9759\u7684\u4e0d\u6c7a\u5b9a\u6027\u306e\u5ea6\u5408\u3044\u306f\u30bc\u30ed\u3067\u3059\u3002.<\/p>\n\n\n\n

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

      \u4e0a\u8a18\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b<\/p>\n\n\n\n

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

      \u3069\u3053\u3067\u3060\uff1a<\/p>\n\n\n\n

      R=3 - \u30b5\u30dd\u30fc\u30c8\u306e\u5168\u53cd\u5fdc\u306e\u5408\u8a08<\/p>\n\n\n\n

      J=0\u5185\u90e8\u30b8\u30e7\u30a4\u30f3\u30c8\u306e\u6570\u3001\u5b58\u5728\u3057\u306a\u3044<\/p>\n\n\n\n

      3 - \u5e73\u8861\u65b9\u7a0b\u5f0f\u306e\u6570<\/p>\n\n\n\n

      \u5358\u7d14\u306a\u30c8\u30e9\u30b9\u306e\u5834\u5408\u3001\u8a08\u7b97\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\uff1a<\/p>\n\n\n\n

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

      \u3069\u3053\u3067\u3060\uff1a<\/p>\n\n\n\n

      n = 5 - \u30ce\u30fc\u30c9\u6570<\/p>\n\n\n\n

      m = 7 - \u30c8\u30e9\u30b9\u90e8\u6750\u306e\u6570<\/p>\n\n\n\n

      r = 3 - \u652f\u6301\u53cd\u5fdc\u306e\u6570<\/p>\n\n\n\n

      \u9759\u7684\u4e0d\u5b9a\u7cfb<\/strong><\/h3>\n\n\n\n

      \u9759\u7684\u306b\u4e0d\u5b89\u5b9a\u306a\u7cfb\u3068\u306f\u3001\u652f\u6301\u53cd\u5fdc\u3092\u8a08\u7b97\u3067\u304d\u306a\u3044\u7cfb\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u3053\u306e\u3088\u3046\u306a\u7cfb\u306b\u304a\u3051\u308b\u9759\u7684\u4e0d\u78ba\u5b9a\u6027\u306e\u7a0b\u5ea6\u306f\u30bc\u30ed\u3088\u308a\u5927\u304d\u3044\u3002\u652f\u6301\u53cd\u5fdc\u306e\u672a\u77e5\u6570\u306e\u6570\u306f\u5e73\u8861\u65b9\u7a0b\u5f0f\u306e\u6570\u3088\u308a\u3082\u591a\u3044\u3002.<\/p>\n\n\n\n

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

      \u3069\u3053\u3067\u3060\uff1a<\/p>\n\n\n\n

      R=5 - \u30b5\u30dd\u30fc\u30c8\u306e\u5168\u53cd\u5fdc\u306e\u5408\u8a08<\/p>\n\n\n\n

      J=0 - \u5185\u90e8\u30b8\u30e7\u30a4\u30f3\u30c8\u306e\u6570\u3002<\/p>\n\n\n\n

      3 - \u5e73\u8861\u65b9\u7a0b\u5f0f\u306e\u6570<\/p>\n\n\n\n

      \u6881\u306f2\u56de\u9759\u7684\u306b\u6c7a\u5b9a\u4e0d\u53ef\u80fd - (\u7d50\u679cN=2)<\/p>\n\n\n\n

      \u3053\u306e\u3088\u3046\u306a\u30b7\u30b9\u30c6\u30e0\u306f\u786c\u304f\u3001\u6a5f\u80fd\u3059\u308b\u53ef\u80fd\u6027\u306f\u306a\u3044\u3002\u8377\u91cd\u3084\u6e29\u5ea6\u5909\u5316\u306e\u3042\u308b\u6881\u306f\u5909\u4f4d\u306e\u53ef\u80fd\u6027\u304c\u306a\u304f\u3001\u8a00\u3044\u63db\u3048\u308c\u3070\u50cd\u304f\u53ef\u80fd\u6027\u304c\u306a\u3044\u3002.<\/p>\n\n\n\n

      \u30e1\u30ab\u30cb\u30ba\u30e0<\/strong><\/h3>\n\n\n\n

      \u6700\u5f8c\u306b\u8aac\u660e\u3059\u308b\u306e\u306f\u3001\u52d5\u304f\u53ef\u80fd\u6027\u306e\u3042\u308b\u30b7\u30b9\u30c6\u30e0\u3001\u3064\u307e\u308a\u30e1\u30ab\u30cb\u30ba\u30e0\u3067\u3042\u308b\u3002\u3053\u306e\u3088\u3046\u306a\u30b7\u30b9\u30c6\u30e0\u306e\u9759\u7684\u4e0d\u78ba\u5b9a\u6027\u306e\u5ea6\u5408\u3044\u306f\u8ca0\u3067\u3042\u308b\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

      \u3053\u308c\u3067\u9759\u7684\u975e\u51f8\u6027\u306e\u8a71\u984c\u306f\u7d42\u308f\u308a\u3067\u3059\u3002\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3057\u305f\u3002\u4ed6\u306e\u8a18\u4e8b\u3082\u81ea\u7531\u306b\u3054\u89a7\u304f\u3060\u3055\u3044\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 zewn\u0119trznych. Je\u015bli b\u0119dzie si\u0119 porusza\u0142 to b\u0119dzie mechanizmem. Dzia\u0142em mechaniki, w kt\u00f3rym zajmiemy si\u0119 ruchem cia\u0142 jest kinematyka i dynamika. Statyka to ta cze\u015b\u0107 mechaniki, w kt\u00f3rej elementy pozostaj\u0105 w spoczynku, aby tak by\u0142o musi by\u0107 spe\u0142nionych kilka warunk\u00f3w. W tym wpisie: Podpory. Rodzaje i symbole Aby uk\u0142ad by\u0142 nieruchomy musimy go podeprze\u0107. W zadaniach […]<\/p>\n","protected":false},"author":255930052,"featured_media":1040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_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","enabled":false},"version":2},"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\/ja\/wp-json\/wp\/v2\/posts\/1023","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/comments?post=1023"}],"version-history":[{"count":14,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/posts\/1023\/revisions"}],"predecessor-version":[{"id":3080,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/posts\/1023\/revisions\/3080"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/media\/1040"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/media?parent=1023"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/categories?post=1023"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/tags?post=1023"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}