[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/21348#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/21348","headline":"Balkentherior-\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"Balkentherior-\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u30d0\u30eb\u30b1\u30f3\u7406\u8ad6 \u30b9\u30c8\u30ec\u30b9\u4e0b\u306e\u30d0\u30fc\u306e\u52d5\u4f5c\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u6280\u8853\u7684\u306a\u30e1\u30ab\u30cb\u30ba\u30e0\u306e\u30b5\u30d6\u30a8\u30ea\u30a2\u3067\u3059\u3002\u7279\u306b\u3001\u30d0\u30fc\u306e\u5f3e\u6027\u30d9\u30f3\u30c9\u306f\u3001\u5f37\u5ea6\u7406\u8ad6\u3068\u5f3e\u529b\u6027\u306e\u6559\u3048\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u8abf\u3079\u3089\u308c\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001 Biegetheorie des Balkens \u8a71\u3059\u3002 after-content-x4 \u571f\u6728\u5de5\u5b66\u304a\u3088\u3073\u6a5f\u68b0\u5de5\u5b66\u306e\u5de5\u5b66\u306b\u958b\u767a\u304a\u3088\u3073\u9069\u7528\u3055\u308c\u307e\u3059\u3002 \u66f2\u3052\u30e2\u30fc\u30e1\u30f3\u30c8\u306b\u52a0\u3048\u3066\u3001\u5fdc\u529b\u30b5\u30a4\u30ba\u3082\u7e26\u65b9\u5411\u304a\u3088\u3073\u6a2a\u65b9\u5411\u306e\u529b\u3001\u304a\u3088\u3073\u306d\u3058\u308c\u306e\u77ac\u9593\u3067\u3059\u3002\u30d9\u30f3\u30c9\u306f\u3001\u30d0\u30fc\u306e\u30b8\u30aa\u30e1\u30c8\u30ea\uff08\u65ad\u9762\u3001\u304a\u305d\u3089\u304f\u9577\u3055\u3092\u8d85\u3048\u3066\uff09\u3068\u305d\u306e\u4fdd\u7ba1\u3001\u304a\u3088\u3073\u30d0\u30fc\u6750\u6599\u306e\u5f3e\u529b\u6027\u306b\u3082\u4f9d\u5b58\u3057\u307e\u3059\u3002\u6750\u6599\u306e\u5f37\u5ea6\u5024\u306f\u3001\u30d7\u30e9\u30b9\u30c1\u30c3\u30af\u88fd\u306e\u66f2\u304c\u308a\u3068\u66f2\u3052\u80f8\u3078\u306e\u79fb\u884c\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 \u30d0\u30eb\u30b1\u30f3\u7406\u8ad6\u306f\u3001\u6642\u9593\u3068\u3068\u3082\u306b\u5f90\u3005\u306b\u6d17\u7df4\u3055\u308c\u3066\u304d\u307e\u3057\u305f\u3002\u66f2\u3052\u30d7\u30ed\u30bb\u30b9\u306f\u307e\u3059\u307e\u3059\u826f\u304f\u30e2\u30c7\u30eb\u5316\u3055\u308c\u307e\u3057\u305f\u304c\u3001\u7406\u8ad6\u306e\u53d6\u308a\u6271\u3044\u306f\u3088\u308a\u8907\u96d1\u3067\u3057\u305f\u3002\u307b\u3068\u3093\u3069\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001 \u53e4\u5178\u7684\u306a\u30d3\u30fc\u30b2\u30eb [\u521d\u3081] \uff08\u7406\u8ad6I.\u9806\u5e8f\uff09\u5341\u5206\u306b\u6b63\u78ba\u306a\u7d50\u679c\u3092\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002 after-content-x4 Table of Contents \u8fd1\u4f3c\u30b9\u30c6\u30c3\u30d7 [","datePublished":"2022-02-01","dateModified":"2022-02-01","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/9\/9e\/Balkenbruecke_b.png\/450px-Balkenbruecke_b.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/9\/9e\/Balkenbruecke_b.png\/450px-Balkenbruecke_b.png","height":"44","width":"450"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/21348","wordCount":16108,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u30d0\u30eb\u30b1\u30f3\u7406\u8ad6 \u30b9\u30c8\u30ec\u30b9\u4e0b\u306e\u30d0\u30fc\u306e\u52d5\u4f5c\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u6280\u8853\u7684\u306a\u30e1\u30ab\u30cb\u30ba\u30e0\u306e\u30b5\u30d6\u30a8\u30ea\u30a2\u3067\u3059\u3002\u7279\u306b\u3001\u30d0\u30fc\u306e\u5f3e\u6027\u30d9\u30f3\u30c9\u306f\u3001\u5f37\u5ea6\u7406\u8ad6\u3068\u5f3e\u529b\u6027\u306e\u6559\u3048\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u8abf\u3079\u3089\u308c\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001 Biegetheorie des Balkens \u8a71\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u571f\u6728\u5de5\u5b66\u304a\u3088\u3073\u6a5f\u68b0\u5de5\u5b66\u306e\u5de5\u5b66\u306b\u958b\u767a\u304a\u3088\u3073\u9069\u7528\u3055\u308c\u307e\u3059\u3002 \u66f2\u3052\u30e2\u30fc\u30e1\u30f3\u30c8\u306b\u52a0\u3048\u3066\u3001\u5fdc\u529b\u30b5\u30a4\u30ba\u3082\u7e26\u65b9\u5411\u304a\u3088\u3073\u6a2a\u65b9\u5411\u306e\u529b\u3001\u304a\u3088\u3073\u306d\u3058\u308c\u306e\u77ac\u9593\u3067\u3059\u3002\u30d9\u30f3\u30c9\u306f\u3001\u30d0\u30fc\u306e\u30b8\u30aa\u30e1\u30c8\u30ea\uff08\u65ad\u9762\u3001\u304a\u305d\u3089\u304f\u9577\u3055\u3092\u8d85\u3048\u3066\uff09\u3068\u305d\u306e\u4fdd\u7ba1\u3001\u304a\u3088\u3073\u30d0\u30fc\u6750\u6599\u306e\u5f3e\u529b\u6027\u306b\u3082\u4f9d\u5b58\u3057\u307e\u3059\u3002\u6750\u6599\u306e\u5f37\u5ea6\u5024\u306f\u3001\u30d7\u30e9\u30b9\u30c1\u30c3\u30af\u88fd\u306e\u66f2\u304c\u308a\u3068\u66f2\u3052\u80f8\u3078\u306e\u79fb\u884c\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 \u30d0\u30eb\u30b1\u30f3\u7406\u8ad6\u306f\u3001\u6642\u9593\u3068\u3068\u3082\u306b\u5f90\u3005\u306b\u6d17\u7df4\u3055\u308c\u3066\u304d\u307e\u3057\u305f\u3002\u66f2\u3052\u30d7\u30ed\u30bb\u30b9\u306f\u307e\u3059\u307e\u3059\u826f\u304f\u30e2\u30c7\u30eb\u5316\u3055\u308c\u307e\u3057\u305f\u304c\u3001\u7406\u8ad6\u306e\u53d6\u308a\u6271\u3044\u306f\u3088\u308a\u8907\u96d1\u3067\u3057\u305f\u3002\u307b\u3068\u3093\u3069\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001 \u53e4\u5178\u7684\u306a\u30d3\u30fc\u30b2\u30eb [\u521d\u3081] \uff08\u7406\u8ad6I.\u9806\u5e8f\uff09\u5341\u5206\u306b\u6b63\u78ba\u306a\u7d50\u679c\u3092\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Table of Contents\u8fd1\u4f3c\u30b9\u30c6\u30c3\u30d7 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u53e4\u5178\u7684\u306a\u4eee\u5b9a\uff1aBernoullische\u306e\u4eee\u5b9a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e00\u6b21\u7406\u8ad6\uff1astatics [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u9759\u7684\u6c7a\u5b9a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u525b\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u66f2\u3052\u96fb\u5727 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Biegelinie des Balkenens [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e00\u6b21\u7406\u8ad6\uff1a\u30c0\u30a4\u30ca\u30df\u30af\u30b9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e8c\u6b21\u306e\u7406\u8ad6\uff1a\u30ad\u30f3\u30af\u30ed\u30c3\u30c9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7b2c\u4e09\u515a\u306e\u9806\u5e8f\u306e\u7406\u8ad6 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u8fd1\u4f3c\u30b9\u30c6\u30c3\u30d7 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e00\u822c\u306b\u3001\u533a\u5225\u304c\u884c\u308f\u308c\u307e\u3059 \u4e00\u6b21\u30d0\u30eb\u30b1\u30f3\u7406\u8ad6 \u30d3\u30fc\u30e0\u8981\u7d20\u306f\u5747\u4e00\u306a\u30d0\u30fc\u3067\u8003\u616e\u3055\u308c\u3001\u529b\u3068\u77ac\u9593\u306f\u30d0\u30e9\u30f3\u30b9\u304c\u53d6\u308c\u3066\u3044\u307e\u3059\u3002\u307b\u3068\u3093\u3069\u306e\u5834\u5408\u3001\u7d50\u679c\u306f\u73fe\u5b9f\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002 \uff08I. A.\u3001\u30cb\u30c3\u30af\u306e\u8ca0\u8377\u304c\u7406\u60f3\u7684\u306a\u30ad\u30f3\u30af\u5727\u529b\u306e10\uff05\u672a\u6e80\u306e\u5834\u5408\u3002\uff09 \u4e8c\u6b21\u30d0\u30eb\u30b1\u30f3\u7406\u8ad6\u3092\u7dda\u5f62\u5316 \u5909\u5f62\u3057\u305f\u30d0\u30fc\u3067\u306f\u3001\u30d3\u30fc\u30e0\u8981\u7d20\u304c\u8003\u616e\u3055\u308c\u307e\u3059\u3002\u6570\u5b66\u30e2\u30c7\u30eb\u306f\u7dda\u5f62\u5316\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u5b89\u5b9a\u6027\u306e\u554f\u984c\u3001\u304a\u3088\u30730.1\u30d0\u30a4\u30af\u306e\u56de\u8ee2\u89d2\u5ea6\u3078\u306e\u50be\u659c\u306e\u5927\u304d\u306a\u504f\u5411\u306b\u5fc5\u8981\u3067\u3059\u3002 [2] 3\u6b21\u306e\u30d0\u30eb\u30b1\u30f3\u30b7\u30fc\u7406\u8ad6 \u5909\u5f62\u3057\u305f\u30d0\u30fc\u3067\u306f\u3001\u30d3\u30fc\u30e0\u8981\u7d20\u304c\u8003\u616e\u3055\u308c\u307e\u3059\u3002\u6570\u5b66\u30e2\u30c7\u30eb\u306f\u7dda\u5f62\u5316\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u7279\u5225\u306a\u5834\u5408\u306b\u306f\u3001\u7d0420\u00b0\u4ee5\u4e0a\u306e\u975e\u5e38\u306b\u5927\u304d\u306a\u504f\u5411\u3068\u50be\u5411\u304c\u5fc5\u8981\u3067\u3059\u3002 \u6587\u732e\u306b\u5fdc\u3058\u3066\u3001\u975e\u7dda\u5f62\u306e\u7528\u8a9e\u30922\u6b21\u30d0\u30eb\u30b1\u30f3\u7406\u8ad6\u3067\u3082\u8003\u616e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u7b2c\u4e8c\u653f\u515a\u306e\u7406\u8ad6\u3068\u7b2c\u4e09\u8005\u306e\u7406\u8ad6\u306e\u5883\u754c\u306f\u6d41\u52d5\u7684\u3067\u3059\u3002 \u53e4\u5178\u7684\u306a\u4eee\u5b9a\uff1aBernoullische\u306e\u4eee\u5b9a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Bernoullisches\u306e\u5185\u5bb9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30d0\u30fc\u306f\u3067\u3059 \u30b9\u30ea\u30e0 \uff1a\u305d\u306e\u9577\u3055\u306f\u3001\u305d\u306e\u6a2a\u65ad\u7684\u5bf8\u6cd5\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u5927\u304d\u3044\u3067\u3059\u3002 \u5909\u5f62\u524d\u306e\u30d0\u30fc\u8eca\u8ef8\u306b\u5782\u76f4\u3067\u3042\u3063\u305f\u30d3\u30fc\u30e0\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u3082\u3001\u5909\u5f62\u5f8c\u306e\u5909\u5f62\u3057\u305f\u30d0\u30fc\u8ef8\u306b\u5782\u76f4\u3067\u3059\u3002 \u4ea4\u5dee\u306f\u3001\u5909\u5f62\u5f8c\u3082\u6b8b\u308a\u307e\u3059\u3002 \u66f2\u3052\u5909\u5f62\u306f\u3001\u30d0\u30fc\u306e\u9577\u3055\u3068\u6bd4\u8f03\u3057\u3066\u5c0f\u3055\u3044\uff08\u30af\u30ed\u30b9\u30bb\u30af\u30b7\u30e7\u30f3\u5bf8\u6cd5\u306e\u30b5\u30a4\u30ba\u306e\u6700\u5927\u30b5\u30a4\u30ba\uff09\u3002 \u30d0\u30fc\u306f\u7b49\u65b9\u6027\u6750\u6599\u3067\u4f5c\u3089\u308c\u3066\u304a\u308a\u3001Hoke Law\u306b\u5f93\u3044\u307e\u3059\u3002 1\u4eba\u304c\u8a71\u3057\u307e\u3059 Euler-Bernoulli-Balt \u3002\u305f\u3060\u3057\u3001\u3053\u308c\u3089\u306f\u5b9f\u969b\u306e\u30d0\u30fc\u3067\u306f\u591a\u304b\u308c\u5c11\u306a\u304b\u308c\u6b63\u78ba\u306a\u30e2\u30c7\u30eb\u306e\u4eee\u5b9a\u3067\u3059\u3002\u73fe\u5b9f\u306e\u4e16\u754c\u306b\u306f\u3001\u3053\u306e\u30e2\u30c7\u30eb\u306b\u6b63\u78ba\u306b\u5bfe\u5fdc\u3059\u308b\u30d0\u30fc\u306f\u3042\u308a\u307e\u305b\u3093\u3002 2\u756a\u76ee\u30683\u306e\u4eee\u5b9ai\u304c\u767a\u751f\u3057\u307e\u3059i\u3002 A.\u91cd\u8377\u306e\u6881\u306e\u5834\u5408\u306f\u6c7a\u3057\u3066\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u4eee\u5b9a\/\u30a8\u30d4\u30bd\u30fc\u30c92.\u304a\u3088\u30733.\u304c\u8fd1\u4f3c\u3067\u8a31\u53ef\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001z\u3002 B.\u30ad\u30fc\u30ef\u30fc\u30c9Timoschenko-Balken\u306e\u4e0b\u3067\u51e6\u7406\u3055\u308c\u308b\u30d0\u30fc\u3002 \u3072\u305a\u307f\u304c\u7e26\u65b9\u5411\u306b\u9664\u5916\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001I\u3002stabt\u7406\u8ad6\u306e\u30b9\u30bf\u30c3\u30d5\u306f\u3001\u5f37\u5ea6\u306e\u57fa\u6e96\uff08\u901a\u5e38\u306e\u529b\u3068\u66f2\u304c\u308a\u306b\u5f93\u3063\u3066\uff09\u306b\u5f93\u3063\u3066\u5931\u6557\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002 Stabt Theory II\u306e\u9806\u5e8f\u3067\u306f\u3001\u3053\u306e\u5f37\u5ea6\u306e\u57fa\u6e96\u306f\u5909\u5f62\u3057\u305f\u72b6\u6cc1\u3067\u6e80\u305f\u3055\u308c\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6a2a\u65b9\u5411\u306e\u66f2\u304c\u308a\uff08\u30ad\u30f3\u30af\uff09\u306b\u3088\u308b\u5b89\u5b9a\u6027\u969c\u5bb3\u306b\u95a2\u3059\u308b\u58f0\u660e\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u30af\u30ed\u30b9\u30d5\u30a9\u30fc\u30b9\u306b\u3088\u308b\u6545\u969c\u306f\u3001\u30d9\u30eb\u30cc\u30fc\u30a4\u6881\u304b\u3089\u3082\u9664\u5916\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u3061\u306a\u307f\u306b\u3001\u30d3\u30fc\u30e0\u306f\u3001\u591a\u304f\u306e\u5834\u5408\u3001\u5168\u9577\uff08\u4e00\u5b9a\u306e\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u3001\u5f3e\u6027\u30e2\u30b8\u30e5\u30fc\u30eb\u306a\u3069\uff09\u306b\u308f\u305f\u3063\u3066\u4e00\u5b9a\u306e\u4ea4\u5dee\u5206\u91ce\u3092\u6301\u3061\u3001\u6570\u5b66\u7684\u306b\u4f7f\u3044\u3084\u3059\u3044\u305f\u3081\u3067\u3059\u3002 \u4e00\u6b21\u7406\u8ad6\uff1astatics [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u53e4\u5178\u7684\u306a\u7406\u8ad6\u306f\u3001\u672c\u8cea\u7684\u306b\u4e00\u6b21\u7406\u8ad6\u3068\u4e00\u81f4\u3057\u3001\u305d\u308c\u306b\u3088\u308a\u3001\u7406\u8ad6\u3067\u5fc5\u8981\u3068\u3055\u308c\u308b\u5747\u4e00\u306a\u30d3\u30fc\u30e0\u306e\u4ea4\u5dee\u9818\u57df\u306e\u5e73\u8861\u6761\u4ef6\u3067\u52d5\u4f5c\u3057\u307e\u3059\u3002 \u9759\u7684\u6c7a\u5b9a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u9759\u7684\u306b\u6c7a\u5b9a\u3055\u308c\u305f\u30d3\u30fc\u30e0 \u9759\u7684\u306b\u6c7a\u5b9a\u3055\u308c\u305f\u6881\u306e\u5834\u5408\u3001\u30d0\u30e9\u30f3\u30b9\u6761\u4ef6\u304b\u3089\u306e\u652f\u6301\u529b\u3068\u5207\u65ad\u30b5\u30a4\u30ba\u3092\u6c7a\u5b9a\u3067\u304d\u307e\u3059\u3002\u9759\u7684\u306b\u8986\u308f\u308c\u305f [3] [4] [5] \u5e73\u8861\u72b6\u614b\u306b\u52a0\u3048\u3066\u3001\u30b5\u30dd\u30fc\u30c8\u529b\u3068\u30ab\u30c3\u30c8\u3092\u6c7a\u5b9a\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u306b\u306f\u3001\u30d3\u30fc\u30e0\u3082\u6e80\u305f\u3055\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u6700\u3082\u5358\u7d14\u306a\u5834\u5408\u3001\u30d0\u30fc\u306f\u3001\u7dda\u5f62\u306e\u4e0d\u5747\u4e00\u306a\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\u3042\u308b\u8c46\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u57fa\u3065\u3044\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u305f\u308f\u307f\u306e\u9593\u306e\u63a5\u7d9a\u3092\u78ba\u7acb\u3057\u307e\u3059 \u306e {displaystyle in} \uff08\u306e \u3068 {displaystyle with} \u65b9\u5411\uff09\u304a\u3088\u3073\u30af\u30ed\u30b9\u30ed\u30fc\u30c9\uff08\u30eb\u30fc\u30c8\u8ca0\u8377 Q {displaystyle q} \u3001\u30ad\u30e3\u30ea\u30a2\u5168\u4f53\u306e\u500b\u3005\u306e\u8ca0\u8377\u3001\u5358\u4e00\u306e\u77ac\u9593\u3001…\uff09\u5ea7\u6a19\u306e\u95a2\u6570\u3068\u3057\u3066 \u30d0\u30c4 {displaystyle x} \u30d0\u30fc\u8ef8\u306b\u6cbf\u3063\u3066\u3002 \uff08 \u3068 \u79c1 \uff08 \u30d0\u30c4 \uff09\uff09 \u306e \u300c \uff08 \u30d0\u30c4 \uff09\uff09 \uff09\uff09 \u300c = Q \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle\uff08ei\uff08x\uff09\u3001w ”\uff08x\uff09\uff09 ” = q\uff08x\uff09} \u3002 \u525b\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u525b\u6027 \u66f2\u7387\u306b\u95a2\u9023\u3057\u3066\u66f2\u3052\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5927\u304d\u3055\u3092\u793a\u3057\u307e\u3059\u3002\u5747\u4e00\u306a\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u5834\u5408\u3001\u88fd\u54c1\u306b\u306a\u308a\u307e\u3059 \u3068 \u79c1 {displayystle not} \u5f3e\u6027\u30e2\u30b8\u30e5\u30fc\u30eb\u304b\u3089 \u3068 {displaystyle e} \u6750\u6599\u3068\u5e7e\u4f55\u5b66\u7684\u9818\u57df\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u30e2\u30fc\u30e1\u30f3\u30c8 \u79c1 {displaystyle i} \u4e0e\u3048\u3089\u308c\u305f\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u3002\u5f8c\u8005\u306f\u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059 \u79c1 y= \u222b \u3068 2da = \u222c \u3068 2d\u3068 d\u3068 {displaystyle i_ {y} = int z^{2} {rm {d}} a = iint z^{2} {rm {d}} y\u3001{rm {d}} zquad} \u3057\u305f\u304c\u3063\u3066 \u3068 {displaystyle y} \u3068 \u3068 {displaystyle with} \u76f4\u4ea4\u5ea7\u6a19\u306f\u7126\u70b9\u306b\u3088\u3063\u3066\u6e2c\u5b9a\u3055\u308c\u307e\u3059\u3002 \u9577\u65b9\u5f62\u306e\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u3092\u5099\u3048\u305f\u30d0\u30fc\u306e\u5834\u5408 b de h {displaystyle bcdot h} \uff08\u306e \u3068 {displaystyle y} – \u305d\u308c\u305e\u308c \u3068 {displaystyle with} -direction\uff09is \u79c1 y\uff08 \u30d0\u30c4 \uff09\uff09 = \u222b \u2212h(x)\/2h(x)\/2\u222b \u2212b(x)\/2b(x)\/2\u3068 2d\u3068 d\u3068 = (h(x))3\u22c5b(x)12{displaystyle i_ {y}\uff08x\uff09= int _ { –  h\uff08x\uff09\/2}^{h\uff08x\uff09\/2} int _ { –  b\uff08x\uff09\/2}^{b\uff08x\uff09\/2} z^{2} {rm {d}} y\u3001{rm {d} {x} {x} x^{3 {x 12}} \u3002 \u30e9\u30f3\u30c9\u304a\u3088\u3073\u79fb\u884c\u6761\u4ef6\u306f\u3001\u30b5\u30dd\u30fc\u30c8\u306e\u7a2e\u985e\u306b\u8d77\u56e0\u3057\u3001\u904b\u52d5\u5b66\u7684\u5883\u754c\u6761\u4ef6\u3068\u52d5\u7684\uff08\u5f37\u5ea6\u306b\u95a2\u9023\u3059\u308b\u529b\u3068\u77ac\u9593\uff09\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002 \u52d5\u7684\u5883\u754c\u6761\u4ef6\u306e\u5834\u5408\u3001\u305d\u308c\u306f\u305f\u308f\u307f\u3068\u30ab\u30c3\u30c8\u306e\u9593\u306e\u63a5\u7d9a\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002 \u4e8cgegemoment\uff1a m \uff08 \u30d0\u30c4 \uff09\uff09 =  –  \u3068 \u79c1 \uff08 \u30d0\u30c4 \uff09\uff09 \u306e \u300c \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle m\uff08x\uff09= -ei\uff08x\uff09\u3001w ”\uff08x\uff09} Querkraft\uff1a Q \uff08 \u30d0\u30c4 \uff09\uff09 =  –  \uff08 \u3068 \u79c1 \uff08 \u30d0\u30c4 \uff09\uff09 \u306e \u300c \uff08 \u30d0\u30c4 \uff09\uff09 \uff09\uff09 ‘ {displaystyle q\uff08x\uff09=  – \uff08ei\uff08x\uff09\u3001w ”\uff08x\uff09 ‘} \u66f2\u3052\u96fb\u5727 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u66f2\u3052\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u66f2\u3052\u7dca\u5f35\u3067\u69cb\u6210\u3055\u308c\u3001\u3053\u308c\u3089\u306f\u8ef8\u65b9\u5411\u306e\u65b9\u5411\u306b\u3042\u308a\u307e\u3059 – \u30ed\u30c3\u30c9\u4e0a\u3067\u5909\u5316\u3059\u308b\u901a\u5e38\u306e\u96fb\u5727\u306e\u5206\u5e03\u3092\u6301\u3064\u7dca\u5f35\u304c\u3042\u308a\u307e\u3059\u3002 \u6700\u3082\u5358\u7d14\u306a\u5834\u5408\u3001\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u3092\u5fc5\u8981\u3068\u3059\u308bBernoullitheory\u306f\u3001\u7dda\u5f62\u5f3e\u6027\u6750\u6599\u306e\u6319\u52d5\u3068\u7d44\u307f\u5408\u308f\u305b\u3066\u60f3\u5b9a\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u5358\u7d14\u5316\u306f\u3001\u5f0f\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002 a B\uff08 \u30d0\u30c4 \u3001 \u3068 \u3001 \u3068 \uff09\uff09 =  –  Mz(x)\u22c5Iy(x)+My(x)\u22c5Iyz(x)Iy(x)\u22c5Iz(x)\u2212(Iyz(x))2de \u3068 + My(x)\u22c5Iz(x)+Mz(x)\u22c5Iyz(x)Iy(x)\u22c5Iz(x)\u2212(Iyz(x))2de \u3068 {displaystyle sigma _ {b}\uff08x\u3001y\u3001z\uff09=  –  {frac {m_ {z}\uff08x\uff09cdot i_ {y}\uff08x\uff09+m_ {y}\uff08x\uff09cdot i_ {yz}\uff08x\uff09} {i_ {y}\uff08x }} cdot y+{frac {m_ {y}\uff08x\uff09cdot i_ {z}\uff08x\uff09+m_ {z}\uff08x\uff09cdot i_ {yz}\uff08x\uff09} {i_ {y}\uff08x\uff09cdot i_ {z}\uff08x\uff09 – \uff08x\uff09}}}}}}}}}}}}  [6] \u504f\u5dee\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5834\u5408i YZ \u96fb\u5727\u5171\u6709\u306b\u3088\u308b\u3068\u3001\u30bc\u30ed\u306e\u5f8c\u306b\u66f2\u304c\u308a\u304c\u7d9a\u304d\u307e\u3059\u3002 a B\uff08 \u30d0\u30c4 \u3001 \u3068 \u3001 \u3068 \uff09\uff09 = My(x)Iy(x)\u3068  –  Mz(x)Iz(x)\u3068 {displaystyle sigma _ {b}\uff08x\u3001y\u3001z\uff09= {frac {m_ {y}\uff08x\uff09} {y_ {y}\uff08x\uff09}}}}\uff08z}\uff08x\uff09}\uff08x\uff09} {i_ {z}}}}}}}}}}} \u305d\u306e\u4e2d\u306b\u3042\u308a\u307e\u3059 \u79c1 {displaystyle i} \u66f2\u3052\u77ac\u9593\u304c\u56de\u8ee2\u3059\u308b\u8ef8\u306e\u5468\u308a\u306e\u4ea4\u5dee\u70b9\u306e\u8cac\u4efb\u306e\u77ac\u9593\u3002\u7279\u5fb4\u7684\u306a\u5024 \u79c1 \/ \u3068 {displaystyle i\/z} \u6700\u5927\u3067 \u3068 {displaystyle with} \uff08\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u6700\u3082\u5916\u5074\u306e\u7e4a\u7dad\uff09\u306f\u62b5\u6297\u30e2\u30fc\u30e1\u30f3\u30c8\u3068\u3082\u547c\u3070\u308c\u307e\u3059 \u306e {displaystyle in} \u3002\u975e\u5e38\u306b\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u7d50\u679c\u304c\u7d9a\u304d\u307e\u3059\uff1a\u30d0\u30fc\u306e\u8ca0\u8377\u5bb9\u91cf\u306f\u306b\u6bd4\u4f8b\u3057\u307e\u3059 \u79c1 \/ h \u221d b de h 2 {displaystyle i\/hpropto bcdot h^{2}} \u3002  \u3055\u307e\u3056\u307e\u306a\u30b5\u30dd\u30fc\u30c8\u4f4d\u7f6e\u306e\u5747\u7b49\u306b\u30b9\u30c8\u30ec\u30b9\u306e\u591a\u3044\u30d0\u30fc\u306e\u66f2\u3052\uff08\u975e\u5e38\u306b\u904e\u5270\uff09\u3002\u9752\uff1a\u30d9\u30c3\u30bb\u30eb\u30dd\u30a4\u30f3\u30c8\u306e\u4fdd\u7ba1 \u975e\u5bfe\u79f0\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u5834\u5408\u3001\u5ea7\u6a19\u7cfb\u306f\u3001\u30d9\u30f3\u30c9\u3092\u4e21\u65b9\u5411\u306b\u500b\u5225\u306b\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4e3b\u306a\u6163\u6027\u8ef8\u306e\u65b9\u5411\u306b\u56de\u8ee2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u4f8b\uff1aL\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u304c\u4e0a\u304b\u3089\u30ed\u30fc\u30c9\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u901a\u5e38\u306f\u76f4\u63a5\u76f4\u63a5\u5074\u9762\u306b\u5411\u304d\u307e\u3059\u3002\u4e3b\u8981\u306a\u5951\u7d04\u8ef8\u306e\u3044\u305a\u308c\u304b\u306e\u65b9\u5411\u306b\u306e\u307f\u3001\u8ca0\u8377\u306e\u65b9\u5411\u3067\u306e\u307f\u30d0\u30fc\u3092\u66f2\u3052\u307e\u3059\u3002 \u30d0\u30fc\u306e\u66f2\u304c\u308a\u304c\u3069\u308c\u307b\u3069\u5f37\u304f\u3001\u30b5\u30dd\u30fc\u30c8\u306e\u4f4d\u7f6e\u306b\u5927\u304d\u304f\u4f9d\u5b58\u3057\u3066\u3044\u307e\u3059\u3002\u5747\u4e00\u306a\u8ca0\u8377\u3067 Q \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle q\uff08x\uff09} = const\u306f\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u304b\u3089\u6700\u9069\u306a\u5009\u5eab\u4f4d\u7f6e\u3068\u3057\u3066\u53d6\u5f97\u3055\u308c\u307e\u3059\u3002  \u66f2\u3052\u96fb\u5727 \u7279\u306b\u3001\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\uff08\u4f8b\u3048\u3070\u30d0\u30fc\uff09\u306b\u4f5c\u7528\u3059\u308b\u529b\u306f\u3001\u81a8\u5f35\u65b9\u5411\u306b\u5782\u76f4\u306b\u30ed\u30fc\u30c9\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002 \u30d3\u30fc\u30e0\u30af\u30ed\u30b9\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u901a\u5e38\u306e\u96fb\u5727\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 a \uff08 \u30d0\u30c4 \u3001 \u3068 \u3001 \u3068 \uff09\uff09 = N(x)A(x) –  Mz(x)\u22c5Iy(x)+My(x)\u22c5Iyz(x)Iy(x)\u22c5Iz(x)\u2212(Iyz(x))2de \u3068 + My(x)\u22c5Iz(x)+Mz(x)\u22c5Iyz(x)Iy(x)\u22c5Iz(x)\u2212(Iyz(x))2de \u3068 {displaystyle sigma\uff08x\u3001y\u3001z\uff09= {frac {n\uff08x\uff09} {a\uff08x\uff09}}  –  {frac {z}\uff08x\uff09cdot i_ {y}\uff08x\uff09+m_ {y}\uff08x\uff09cdot i_ {yz}\uff08x\uff09} {y_ {x\uff09 –  x\uff08x\uff09 –  x\uff08x\uff09 –  {x\uff09} {yz}\uff08x\uff09\uff09^{2}}} cdot y+{frac {m_ {y}\uff08x\uff09cdot i_ {z}\uff08x\uff09+m_ {z}\uff08x\uff09cdot i_ {yz}\uff08x\uff09}\uff08x\uff09} {i_ {y}\uff08x } cdot z}  [6] \u504f\u5dee\u306e\u30e2\u30fc\u30e1\u30f3\u30c8\u304c\u30bc\u30ed\u3067\u3042\u308a\u3001\u901a\u5e38\u306e\u529b\u306a\u3057\u3067Z\u65b9\u5411\u306b\u5358\u7d14\u306a\u66f2\u304c\u308a\u304c\u3042\u308b\u5834\u5408\uff1a a \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09 = My(x)Iy(x)de \u3068 {displaystyle sigma\uff08x\u3001z\uff09\u3001= {frac {m_ {y}\uff08x\uff09} {i_ {y}\uff08x\uff09}} cdot z} \u77ac\u9593m\u3067\u3059 \u3068 \u967d\u6027\u3001m\u3067\u66f2\u3052\u308b\u3068\u304d\u306b\u767a\u751f\u3057\u307e\u3059 \u3068 \u305f\u3081\u306b \u3068 {displaystyle with} > 0\u5217\u8eca\u3068 \u3068 {displaystyle with} |max\uff08 \u30d0\u30c4 \uff09\uff09 = |M(x)||W(x)|min{displaystyle | sigma | _ {mathrm {max}}\uff08x\uff09= {frac {| m\uff08x\uff09|} {| w\uff08x\uff09| _ {mathrm {min}}}}}}} \u62b5\u6297\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u91cf\u304c\u5927\u304d\u3044\u307b\u3069\u3001\u30a8\u30c3\u30b8\u30d5\u30a1\u30a4\u30d0\u30fc\u306e\u66f2\u3052\u96fb\u5727\u306e\u91cf\u304c\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002  \u7363\u306e\u5207\u308a\u6b20\u304d\u3001\u66f2\u3052\u77ac\u9593\u306e\u6c5a\u67d3\u306e\u4e0b\u3067\u66f2\u304c\u3063\u3066\u3044\u308bm \u30d0\u30fc\u3092\u66f2\u3052\u308b\u3068\u3001\u5217\u8eca\u5074\u306b\u6a2a\u305f\u308f\u3063\u3066\u3044\u308b\u7e26\u65b9\u5411\u306e\u7e4a\u7dad\uff08\u524d\u9762\u306e\u5199\u771f\u306e\u524d\u9762\u3001\u5de6\u306e\u90e8\u5206\u753b\u50cf\uff09\u3068\u5727\u529b\u5074\u306b\u6a2a\u305f\u308f\u3063\u3066\u3044\u308b\uff08\u5199\u771f\u306e\u80cc\u9762\u3001\u5de6\u5074\uff09\u3002\u5217\u8eca\u306e\u5fdc\u529b\u306f\u3001\u4f38\u3073\u305f\u7e4a\u7dad\u306e\u6d78\u6f2c\u5727\u529b\u96fb\u5727\u3067\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002\u6700\u5927\u30d7\u30eb\u304b\u3089\u5185\u5074\u306e\u6700\u5927\u5727\u529b\u5fdc\u529b\u3078\u306e\u96fb\u5727\u30d7\u30ed\u30bb\u30b9\u306fi\u3067\u3059\u3002 d\u3002 R.\u975e\u7dda\u5f62\u3067\u3059\u304c\u3001\u7dda\u5f62\u5206\u5e03\u306f\u983b\u7e41\u306a\u4eee\u5b9a\u3067\u3059\u3002 \u6bd4\u8f03\u7684\u5c0f\u3055\u306a\u66f2\u304c\u308a\u89d2\u3068\u6b63\u5e38\u306a\u529b\u304c\u306a\u3044\u305f\u3081\u3001\u30cb\u30e5\u30fc\u30c8\u30e9\u30eb\uff08\u96fb\u5727 – \u30d5\u30ea\u30fc\uff09\u7e4a\u7dad\u306f\u3001\u30d3\u30fc\u30e0\u306e\u9ad8\u3055\u306e\u4e2d\u592e\u306b\u3042\u308a\u307e\u3059\u3002\u65ad\u9762\u9818\u57df\u306e\u5f15\u5f35\u96fb\u5727\u3068\u5727\u529b\u306f\u3001\u901a\u5e38\u306e\u529b\u304c\u306a\u3044\u9650\u308a\u3001\u91cf\u306e\u70b9\u3067\u540c\u3058\u3067\u3059\u3002 Biegelinie des Balkenens [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u504f\u5411\uff08\u305f\u308f\u307f\uff09 \u306e {displaystyle in} \u305d\u306e\u4ee3\u308f\u308a\u306b\u30d0\u30fc\u306e \u30d0\u30c4 {displaystyle x} \u6b21\u306e\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\u8aac\u660e\u3067\u304d\u307e\u3059\u3002 \u306e \u300c \uff08 \u30d0\u30c4 \uff09\uff09 =  –  My(x)EIy \u3002 {displaystyle w ”\uff08x\uff09=  –  {m_ {y}\uff08x\uff09over ei_ {y}}\u3002} [7] \u66f2\u3052\u77ac\u9593\u306e\u8ca0\u62c5\u306b\u4f9d\u5b58\u3057\u307e\u3059 m \u3068 \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle m_ {y}\uff08x\uff09} \u3001\u6163\u6027\u306e\u77ac\u9593 \u79c1 \u3068 {displaystyle i_ {y}} \u30d3\u30fc\u30e0\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u3068\u5f3e\u6027\u30e2\u30b8\u30e5\u30fc\u30eb\u306e \u3068 {displaystyle e} \u30d3\u30fc\u30e0\u6750\u6599\u306e\uff08\u30a4\u30f3\u30c7\u30c3\u30af\u30b9 y{displaystyle _ {y}} \uff1a\u30af\u30ed\u30b9\u8eca\u8ef8\u306e\u5468\u308a\u3092\u66f2\u3052\u307e\u3059 \u3068 {displaystyle y} \uff09\u3002\u6700\u521d\u306e\u7d71\u5408\u306b\u3088\u308a\u3001\u50be\u5411\u304c\u7d9a\u304d\u307e\u3059 \u306e ‘ {displaystyle in ‘} \u66f2\u7387\u304b\u3089\u306e\u8c46\u7dda \u306e \u300c {displaystyle in ”} \uff1a \u306e ‘ \uff08 \u30d0\u30c4 \uff09\uff09 =  –  \u222b0xMy(\u03be)d\u03be+C1EIy \u3002 {displaystyle w ‘\uff08x\uff09=  –  {{int _ {0}^{x} m_ {y}\uff08xi\uff09\u3001mathrm {d} xi +c_ {1}} 2\u756a\u76ee\u306e\u7d71\u5408\u3067\u306f\u3001\u30d3\u30fc\u30b2\u30eb\u30e9\u30a4\u30f3\u306e\u50be\u5411\u304c\u8c46\u30e9\u30a4\u30f3\u306e\u50be\u5411\u304b\u3089\u751f\u3058\u307e\u3059 \u306e {displaystyle in} \uff1a \u306e \uff08 \u30d0\u30c4 \uff09\uff09 =  –  \u222b0x(\u222b0xMy(\u03be)d\u03be+C1)d\u03be+C2EIy \u3002 {displaystyle w\uff08x\uff09=  –  {{int _ {0}^{x}\uff08int _ {0}^{x} m_ {y}\uff08xi\uff09\u3001mathrm {d} xi +c_ {1}\uff09\u3001mathrm {d} xi +c_ {2}}}}}  2\u3064\u306e\u30b5\u30dd\u30fc\u30c8\u3001\u4e2d\u592e\u5f37\u5ea6\u6c5a\u67d3\u306e\u30d3\u30fc\u30e0 p {displaystyle p} \uff08\u9752\uff1abiegelinie\uff09 2\u3064\u306e\u30a8\u30f3\u30c9\u30d3\u30fc\u30e0\uff08\u4e0b\u306e\u5199\u771f\uff09\u3092\u5099\u3048\u305f\u30d3\u30fc\u30e0\u306e\u4f8b\u3067\u306f\u3001\u66f2\u3052\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u30b3\u30fc\u30b9\u306b\u306f\u306d\u3058\u308c\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u7d71\u5408\u306f\u901a\u5e38\u3001\u5de6\u3068\u53f3\u306e\u30dc\u30fc\u30af\u30bb\u30af\u30b7\u30e7\u30f3\u7528\u3067\u3059 [8] \u500b\u5225\u306b\u5b9f\u884c\u3055\u308c\u307e\u3059\u3002\u7740\u5b9f\u306b\u30d3\u30fc\u30b2\u30ea\u30f3\u30e9\u30a4\u30f3\u306e2\u3064\u306e\u7d50\u679c\u306e\u5408\u4f75\u306f\u3001\u305d\u306e\u50be\u5411\u3068\u305f\u308f\u307f\u306e\u4e21\u65b9\u304c\u4e21\u65b9\u306e\u90e8\u5206\u3067\u540c\u3058\u3067\u3042\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u304b\u3089\u751f\u3058\u307e\u3059\u3002\u3053\u306e\u4f8b\u3067\u306f\u3001\u5bfe\u79f0\u6027\uff08Bean Line and Moments Line\uff09\u304c\u5229\u7528\u53ef\u80fd\u3067\u3059\u3002\u7d71\u5408z\u3002 B.\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u5de6\u534a\u5206\u306b\u5341\u5206\u3067\u3059\u3002\u3053\u306e\u534a\u5206\u306f\u3001\u5f37\u5ea6\u3067\u4e2d\u592e\u3068\u53cd\u5bfe\u5074\u3067\u3082\u56fa\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059 p \/ 2 {displaystyle p\/2} \uff08\u30b5\u30dd\u30fc\u30c8\u306b\u3088\u308a\uff09\u7a4d\u307f\u8fbc\u307e\u308c\u305f\u30ab\u30f3\u30c1\u30ec\u30d0\u30fc\u30d3\u30fc\u30e0\u3092\u8868\u793a\u3057\u307e\u3059\u3002 \u305f\u3081\u306b \u30d0\u30c4 \u2264 l \/ 2 {displaystyle xleq l\/2} \u6709\u52b9\u3067\u3059\uff1a m \uff08 \u30d0\u30c4 \uff09\uff09 = p \u30d0\u30c4 \/ 2  \u3001 {displaystyle m\uff08x\uff09= px\/2\u3001} \u306e ‘ \uff08 \u30d0\u30c4 \uff09\uff09 =  –  Px2\/4+C1EIy \u3001 {displaystyle w ‘\uff08x\uff09=  –  {px^{2}\/4+c_ {1} over ei_ {y}}\u3001} \u3067 \u30d0\u30c4 = l \/ 2 {displaystyle x = l\/2} \u50be\u5411\u3067\u3059 \u306e ‘ {displaystyle in ‘} \u30bc\u30ed\u306b\u76f8\u5f53\u3057\u307e\u3059 [9] \u2192 c 1=  –  p l 2\/ 16  \u3001 {displaystyle c_ {1} = -pl^{2}\/16\u3001} \u306e \uff08 \u30d0\u30c4 \uff09\uff09 =  –  Px3\/12\u2212P\u22c5L2x\/16+C2EIy \u3001 {displaystyle w\uff08x\uff09=  –  {px^{3}\/12-pcdot l^{2} x\/16+c_ {2} over ei_ {y}}\u3001} \u3067 \u30d0\u30c4 = 0 {displaystyle x = 0} \u504f\u5411\u3067\u3059 \u306e {displaystyle in} null\u2192 c 2= 0  \u3001 {displaystyle c_ {2} = 0\u3001} \u306e \uff08 \u30d0\u30c4 \uff09\uff09 = P(L2x\/16\u2212x3\/12)EIy{displaystyle w\uff08x\uff09= {p\uff08l^{2} x\/16-x^{3}\/12\uff09over ei_ {y}}}}} \u3001                               \u3067 \u30d0\u30c4 = l \/ 2 {displaystyle x = l\/2} \u504f\u5411\u3067\u3059 \u306e {displaystyle in} \u5e73 P\u22c5L348\u22c5EIy \u3002 {displaystyle {pcdot l^{3} 48cdot ei_ {y}}\u3002} \u4e00\u6b21\u7406\u8ad6\uff1a\u30c0\u30a4\u30ca\u30df\u30af\u30b9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3053\u3053\u307e\u3067\u306f\u3001\u7d71\u8a08\u306e\u307f\u304c\u6271\u308f\u308c\u3066\u3044\u307e\u3059\u3002\u30d3\u30fc\u30e0\u632f\u52d5\u3092\u8a08\u7b97\u3059\u308b\u306a\u3069\u306e\u30d0\u30fc\u306e\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u306f\u3001\u65b9\u7a0b\u5f0f\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059 \uff08 \u3068 \u79c1 \uff08 \u30d0\u30c4 \uff09\uff09 \u306e \u300c \uff08 \u30d0\u30c4 \u3001 t \uff09\uff09 \uff09\uff09 \u300c + b w\u02d9\uff08 \u30d0\u30c4 \u3001 t \uff09\uff09 + m w\u00a8\uff08 \u30d0\u30c4 \u3001 t \uff09\uff09 = Q \uff08 \u30d0\u30c4 \u3001 t \uff09\uff09 {displaystyle\uff08ei\uff08x\uff09\u3001w ”\uff08x\u3001t\uff09\uff09 ”+b\u3001{dot {w}}\uff08x\u3001t\uff09+m\u3001{ddot {w}}\uff08x\u3001t\uff09= q\uff08x\u3001t\uff09} \u554f\u984c\u306f\u3053\u3053\u306e\u5834\u6240\u3060\u3051\u306b\u4f9d\u5b58\u3059\u308b\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093 \u30d0\u30c4 {displaystyle x} \u3001\u305f\u3060\u3057\u3001\u6642\u9593\u304b\u3089 t {displaystylet} \u3042\u3061\u3089\u3078\u3002\u30d0\u30fc\u306b\u306f\u3055\u3089\u306b2\u3064\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u8cea\u91cf\u5206\u5e03 m {displaystyle m} \u305d\u3057\u3066\u69cb\u9020\u6e1b\u8870 b {displaystyle b} \u3002\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u304c\u6c34\u306e\u4e0b\u3067\u632f\u308b\u5834\u5408\u306f\u3001\u542b\u307e\u308c\u3066\u3044\u307e\u3059 m {displaystyle m} \u307e\u305f\u3001\u6d41\u4f53\u529b\u5b66\u7684\u8cea\u91cf\u3001\u304a\u3088\u3073 b {displaystyle b} \u7dda\u5f62\u5316\u3055\u308c\u305f\u5f62\u5f0f\u306e\u6d41\u4f53\u529b\u5b66\u7684\u6e1b\u8870\u306b\u542b\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30e2\u30ea\u30bd\u30f3\u65b9\u7a0b\u5f0f\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002 \u4e8c\u6b21\u306e\u7406\u8ad6\uff1a\u30ad\u30f3\u30af\u30ed\u30c3\u30c9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3053\u308c\u307e\u3067\u306e\u3068\u3053\u308d\u3001\u529b\u3068\u77ac\u9593\u306f\u5747\u4e00\u306a\u6210\u5206\u306b\u4f34\u3063\u3066\u3044\u307e\u3057\u305f\u304c\u3001\u30ad\u30f3\u30af\u306e\u5834\u5408\u3001\u5909\u5f62\u72b6\u614b\u306e\u30d0\u30fc\u8981\u7d20\u3092\u8003\u616e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 Knickstab\u306e\u8a08\u7b97\u306f\u3001\u65b9\u7a0b\u5f0f\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059 \uff08 \u3068 \u79c1 \uff08 \u30d0\u30c4 \uff09\uff09 \u306e \u300c \uff08 \u30d0\u30c4 \uff09\uff09 \uff09\uff09 \u300c + \uff08 n \u306e ‘ \uff08 \u30d0\u30c4 \uff09\uff09 \uff09\uff09 ‘ = Q \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle\uff08ei\uff08x\uff09\u3001w ”\uff08x\uff09\uff09 ”+\uff08n\u3001w ‘\uff08x\uff09\uff09’ = q\uff08x\uff09}} \u3067\u6700\u3082\u5358\u7d14\u306a\u5834\u5408 Q = 0 {displaystyle q = 0} \u3002\u3053\u308c\u306b\u8ffd\u52a0\u3055\u308c\u305f\u306e\u306f\u3001\u8ef8\u65b9\u5411\u306b\u4f5c\u7528\u3059\u308b\u5727\u529b\u529b\u3067\u3059 n {displaystyle n} \u3001\u5883\u754c\u6761\u4ef6\u306b\u5fdc\u3058\u3066\u3001\u30ed\u30c3\u30c9\u304c\u66f2\u304c\u3089\u306a\u3044\u3088\u3046\u306b\u30cb\u30c3\u30af\u306e\u8377\u91cd\u3092\u8d85\u3048\u3066\u306f\u306a\u308a\u307e\u305b\u3093\u3002 \u5dee\u5225\u7684\u306a\u95a2\u4fc2 \u30d0\u30eb\u30b1\u30f3\u7406\u8ad6\u306e\u30d7\u30c3\u30b7\u30e5\u30bd\u30d5\u30c8\u7406\u8ad6\u2171\u3002\u9806\u5e8f\u306f\u3001\u30d9\u30eb\u30cc\u30fc\u30ea\u30c3\u30b7\u30e5\u306e\u4eee\u5b9a\u306e\u9593\u306e\u30af\u30ed\u30b9\u5171\u6709\u306e\u6b21\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\u3059\u3002 dR(x)dx=  –  Q \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle {frac {mathrm {d} r\uff08x\uff09} {mathrm {d} x}} = -q\uff08x\uff09} [\u5341] dM(x)dx= r \uff08 \u30d0\u30c4 \uff09\uff09  –  n II\uff08 \u30d0\u30c4 \uff09\uff09 de [ dwvdx+dwdx] + m \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle {frac {mathrm {d} m\uff08x\uff09} {mathrm {d} x} = r\uff08x\uff09-n^{ii}\uff08x\uff09cdot left [{d} w_ {v}} {d} x} {d} x} {d} {d} {d} {d} {d} {d} {d} {d} {d} {d} {d} {d} {d} {d} x}}\u53f3]+m\uff08x\uff09} [\u5341] d\u03c6(x)dx=  –  [ M(x)E\u22c5I(x)+\u03bae(x)] {displaystyle {frac {mathrm {d} varphi\uff08x\uff09} {mathrm {d} x}} =  –  left [{frac {m\uff08x\uff09} {ecdot i\uff08x\uff09}}+kappa ^{e}\uff08x\uff09}}}} [\u5341] [11] dw(x)dx= \u30d5\u30a1\u30a4 \uff08 \u30d0\u30c4 \uff09\uff09 + V(x)GA~(x){displaystyle {frac {mathrm {d} w\uff08x\uff09} {mathrm {d} x}} = varphi\uff08x\uff09+{frac {v\uff08x\uff09} {g {a}}\uff08x\uff09}}}}} [\u5341] \u3068 \u7b2c\u4e09\u515a\u306e\u9806\u5e8f\u306e\u7406\u8ad6 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7b2c\u4e09\u515a\u306e\u7406\u8ad6\u306e\u7406\u8ad6\u3067\u3082 \u5927\u304d\u306a\u5909\u5f62 \u30ad\u30e3\u30c3\u30c1\u3001\u7406\u8ad6II\u306e\u5358\u7d14\u5316\u3002\u9806\u5e8f\u306f\u3053\u3053\u306b\u3082\u9069\u7528\u3055\u308c\u306a\u304f\u306a\u308a\u307e\u3057\u305f\u3002 \u7b2c3\u30d1\u30fc\u30c6\u30a3\u306e\u9806\u5e8f\u306e\u304f\u3061\u3070\u3057\u7406\u8ad6\u304c\u5fc5\u8981\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u30b1\u30fc\u30b9\u306fz\u3067\u3059\u3002 B.\u5927\u304d\u306a\u6c34\u6df1\u306e\u8239\u8236\u304b\u3089\u306e\u30aa\u30d5\u30b7\u30e7\u30a2\u30d1\u30a4\u30d7\u30e9\u30a4\u30f3\u306e\u6577\u8a2d\u3002\u3053\u3053\u3067\u306f\u3001\u30ec\u30d9\u30eb\u306e\u9759\u7684\u30b1\u30fc\u30b9\u3068\u3057\u3066\u306e\u307f\u3002 \u975e\u5e38\u306b\u9577\u3044\u30d1\u30a4\u30d7\u30b9\u30c8\u30e9\u30f3\u30c9\u304c\u8eca\u4e21\u304b\u3089\u6d77\u5e95\u306b\u5782\u308c\u4e0b\u304c\u3063\u3066\u304a\u308a\u3001\u30ed\u30fc\u30d7\u306e\u3088\u3046\u306b\u6e7e\u66f2\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u786c\u3044\u3067\u3059\u3002\u975e\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u3053\u3061\u3089\u3067\u3059\u3002 \u3068 \u79c1 \u30d5\u30a1\u30a4 \u300c \uff08 s \uff09\uff09  –  h \u7f6a \u2061 \u30d5\u30a1\u30a4 \uff08 s \uff09\uff09 + \uff08 \u306e s  –  \u306e \uff09\uff09 cos \u2061 \u30d5\u30a1\u30a4 \uff08 s \uff09\uff09 = 0 {displaystyle ei\u3001varphi ”\uff08s\uff09-h\u3001sin varphi\uff08s\uff09+\uff08ws -v\uff09cos varphi\uff08s\uff09= 0} \u3068 \u5ea7\u6a19 s {displaystyleS} \uff08\u30d1\u30a4\u30d7\u30e9\u30a4\u30f3\u306b\u6cbf\u3063\u305f\u30a2\u30fc\u30c1\u306e\u9577\u3055\uff09 \u50be\u659c\u306e\u89d2\u5ea6 \u30d5\u30a1\u30a4 {displaystyle varphi} \u6c34\u5e73\u5ea7\u6a19\u3067 \u30d0\u30c4 \uff08 s \uff09\uff09 {displaystyle x\uff08s\uff09} \u304a\u3088\u3073\u5782\u76f4\u5ea7\u6a19 \u3068 \uff08 s \uff09\uff09 {displaystyle z\uff08s\uff09} \u6b21\u306e\u30b3\u30f3\u30c6\u30ad\u30b9\u30c8\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 sin\u2061\u03c6(s)=\u2202z(s)\u2202s{displaystyle sin varphi\uff08s\uff09= {frac {partial z\uff08s\uff09} {partial s}}}}} cos\u2061\u03c6(s)=\u2202x(s)\u2202s{displaystyle cos varphi\uff08s\uff09= {frac {partial x\uff08s\uff09} {partial s}}}}} h {displaystyle h} \u30d1\u30a4\u30d7\u30e9\u30a4\u30f3\u306b\u6cbf\u3063\u305f\u5207\u65ad\u529b\uff08\u6c34\u5e73\u5217\u8eca\uff09\u306e\u6c34\u5e73\u6210\u5206\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001H\u306f\u3001\u305d\u306e\u30a2\u30f3\u30ab\u30fc\u3068 \u30c6\u30f3\u30b7\u30e7\u30ca\u30fc \u30d1\u30a4\u30d7\u30e9\u30a4\u30f3\u3092\u5f15\u3063\u5f35\u3063\u3066\u3001\u5782\u308c\u4e0b\u304c\u3063\u3066\u58ca\u308c\u306a\u3044\u3088\u3046\u306b\u3057\u307e\u3059\u3002\u30c6\u30f3\u30b7\u30e7\u30ca\u30fc\u306f\u3001\u8239\u5185\u306e\u30d1\u30a4\u30d7\u30e9\u30a4\u30f3\u3092\u56fa\u5b9a\u3057\u3001\u5f15\u5f35\u8377\u91cd\u306e\u4e0b\u306b\u4fdd\u6301\u3059\u308b2\u3064\u306e\u6bdb\u866b\u30c1\u30a7\u30fc\u30f3\u306e\u30c7\u30d0\u30a4\u30b9\u3067\u3059 \u9577\u3055\u3042\u305f\u308a\u306e\u91cd\u91cf \u306e {displaystyle in} \u3001\u30de\u30a4\u30ca\u30b9\u6d6e\u529b \u8a08\u7b97\u30b5\u30a4\u30ba \u306e {displaystyle v} \u305d\u308c\u306f\u5c0f\u3055\u306a\u5730\u4e0a\u652f\u63f4\u90e8\u968a\u3068\u3057\u3066\u60f3\u50cf\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u30ec\u30aa\u30ca\u30eb\u30c9\u30fb\u30c0\u30fb\u30f4\u30a3\u30f3\u30c1\u306b\u3088\u308b\u4e3b\u306b\u7cbe\u795e\u7684\u306a\u5b9f\u9a13\u306e\u5f8c\u3001\u30ac\u30ea\u30ec\u30aa\u30fb\u30ac\u30ea\u30ec\u30a4\u306e\u30d0\u30eb\u30b1\u30f3\u7406\u8ad6\u304c\u6b63\u5f53\u5316\u3055\u308c\u307e\u3057\u305f\u3002\u30af\u30ed\u30fc\u30c9\u30fb\u30eb\u30a4\u30b9\u30fb\u30de\u30ea\u30fc\u30fb\u30a2\u30f3\u30ea\u30fb\u30ca\u30d3\u30a8\u306e\u4ed5\u4e8b\u3067\u3001\u4e88\u5099\u7684\u306a\u53e4\u5178\u7684\u306a\u30d0\u30fc\u7406\u8ad6\u304c\u9054\u6210\u3055\u308c\u307e\u3057\u305f\u3002 \u30ec\u30aa\u30ca\u30eb\u30c9\u30fb\u30c0\u30fb\u30f4\u30a3\u30f3\u30c1\u306e\u53e4\u5178\u7684\u306a\u66f2\u3052\u7406\u8ad6\u306e\u300c\u7236\u89aa\u300d\u304b\u3089\u30ca\u30d3\u30a8\u3078\uff1a \u30ec\u30aa\u30ca\u30eb\u30c9\u30fb\u30c0\u30fb\u30f4\u30a3\u30f3\u30c1\uff081452\u20131519\uff09 – \u30ef\u30a4\u30e4\u30fc\u306e\u5217\u8eca\u306e\u8a66\u307f \u30ac\u30ea\u30ec\u30aa\u30ac\u30ea\u30ec\u30a4\uff081564\u20131642\uff09 –  \u30e1\u30ab\u30cb\u30c3\u30af\u3068\u5730\u5143\u306e\u52d5\u304d\u3092\u6f14\u3058\u308b2\u3064\u306e\u65b0\u3057\u3044\u79d1\u5b66\u306b\u95a2\u3059\u308b\u6570\u5b66\u7684\u306a\u30b9\u30d4\u30fc\u30c1\u3068\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3 \uff1a\u5927\u7406\u77f3\u306e\u67f1\u3001\u30ed\u30fc\u30d7\u3001\u30ef\u30a4\u30e4\u306e\u5217\u8eca\u5f37\u5ea6\uff08\u521d\u65e5\uff09\u3001\u6881\u306e\u7834\u58ca\u5f37\u5ea6\u306b\u95a2\u3059\u308b\u8003\u616e\u4e8b\u9805\uff082\u65e5\u76ee\uff09 Edme Mariotte\uff081620\u20131684\uff09 – \u7e4a\u7dad\u306e\u7dda\u5f62\u5206\u5e03\u30af\u30ed\u30b9\u30bb\u30af\u30b7\u30e7\u30f3\u4e0a\u306b\u4f38\u3073\u308b\u3001\u4e8c\u91cd – \u76f8\u4e92\u30d3\u30fc\u30e0\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u534a\u5206\u306e\u4e2d\u6027\u7e4a\u7dad \u30ed\u30d0\u30fc\u30c8\u30fb\u30db\u30fc\u30af\uff081635\u20131703\uff09 – \u30b9\u30c8\u30ec\u30c3\u30c1\u30f3\u30b0\u3068\u5f35\u529b\u306e\u9593\u306e\u6bd4\u4f8b\uff08Hookesches Law\uff09 Isaac Newton\uff081643\u20131727\uff09 – \u529b\u306e\u30d0\u30e9\u30f3\u30b9\u3001\u7121\u9650\u306eIME\u8a08\u7b97 Gottfried Wilhelm Leibniz\uff081646\u20131716\uff09 – \u7121\u9650\u306e\u8a08\u7b97\u3001\u62b5\u6297\u30e2\u30fc\u30e1\u30f3\u30c8 [12\u756a\u76ee] Jakob I Bernoulli\uff081655\u20131705\uff09 – \u7406\u8ad6\u3092\u7c21\u7d20\u5316\u3059\u308b\u4eee\u5b9a\uff1a\u30ec\u30d9\u30eb\u3068\u5782\u76f4\u306e\u4ea4\u5dee\u9818\u57df\u306e\u30d3\u30fc\u30e0\u8ef8\u306e\u5782\u76f4\u8ef8\u306f\u3001\u66f2\u3052\u5f8c\u3001\u30d3\u30fc\u30e0\u8ef8\u306b\u3082\u5782\u76f4\u3067\u3059 Leonhard Euler\uff081707\u20131783\uff09 – \u9759\u7684\u306b\u6c7a\u5b9a\u3055\u308c\u3066\u3044\u306a\u3044\u30b7\u30b9\u30c6\u30e0\uff08\u56db\u672c\u811a\u30c6\u30fc\u30d6\u30eb\uff09\u3092\u6700\u521d\u306b\u6cbb\u7642\u3057\u3088\u3046\u3068\u3059\u308b\u8a66\u307f\u3001\u30ed\u30c3\u30c9\u306e\u306d\u3058\u308c\u306e\u691c\u67fb\uff082\u6b21\u306e\u7406\u8ad6\uff09 Charles Augustin de Coulomb\uff081736\u20131806\uff09 – \u7121\u9650\u306e\u8a08\u7b97\u306b\u95a2\u9023\u3059\u308b\u30d3\u30fc\u30e0\u3001\u30a2\u30fc\u30c1\u578b\u3001\u5730\u7403\u5727\u529b\u7406\u8ad6\u306e\u6700\u521d\u306e\u8868\u73fe\u3002\u69cb\u7bc9\u7d71\u8a08\u306f\u300c\u79d1\u5b66\u7684\u4e3b\u984c\u300d\u306b\u306a\u308a\u307e\u3059 \u30e8\u30cf\u30f3\u30a2\u30eb\u30d0\u30fc\u30c8\u30a8\u30a4\u30c6\u30eb\u30ef\u30a4\u30f3\uff081764\u20131848\uff09 – \u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u9759\u7684\u306b\u4e0d\u5b9a\u30b7\u30b9\u30c6\u30e0\uff1a\u30b9\u30eb\u30fc\u30d7\u30c3\u30c8\u30ad\u30e3\u30ea\u30a2 \u30af\u30ed\u30fc\u30c9\u30fb\u30eb\u30a4\u30b9\u30fb\u30de\u30ea\u30fc\u30fb\u30a2\u30f3\u30ea\u30fb\u30ca\u30d3\u30a8\uff081785\u20131836\uff09 – \u5f7c\u306e\u4f5c\u54c1\u306f\u300c\u7d71\u8a08\u306e\u69cb\u7bc9\u306e\u61b2\u6cd5\u4e0a\u306e\u6bb5\u968e\u300d\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u5f7c\u306f\u5f7c\u306e\u4e2d\u3067\u30ea\u30fc\u30c9\u3057\u307e\u3059 \u6280\u8853\u7684\u306a\u66f2\u3052\u7406\u8ad6 \u5f3e\u6027\u30e9\u30a4\u30f3\uff08Bernoulli\u3001Euler\uff09\u306e\u6570\u5b66\u7684\u6a5f\u68b0\u5206\u6790\u3068\u4e3b\u306b\u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0\u30d9\u30fc\u30b9\u306e\u30d3\u30fc\u30e0\u7d71\u8a08\u3002 Georg Rebhann\uff081824\u20131892\uff09 – \u5358\u7d14\u306a\u5bfe\u79f0\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u66f2\u3052\u5f35\u529b\u691c\u51fa\u306e\u305f\u3081\u306e1856\u5e74\u306e\u5f0f\u306b\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 D.\u30b0\u30ed\u30b9\u3001W\u3002\u30cf\u30ac\u30fc\u3001J\u3002\u30b7\u30e5\u30ea\u30f3\u30af\u30b9\u3001W\u3002A\u3002\u30a6\u30a9\u30fc\u30eb\uff1a \u6280\u8853\u529b\u5b66\u3002 \u30d0\u30f3\u30c91\u20133\u3001\u30b9\u30d7\u30ea\u30f3\u30ac\u30fc\u3001\u30d9\u30eb\u30ea\u30f32006 \/2007\u3001 DNB 550703683 \u3002 Istv\u00e1nSzab\u00f3\uff1a \u6280\u8853\u529b\u5b66\u306e\u7d39\u4ecb\u3002 Springer\u3001Berlin 2001\u3001ISBN 3-540-67653-8\u3002 \u30d4\u30fc\u30bf\u30fc\u30fb\u30b0\u30e0\u30de\u30fc\u30c8\u3001\u30ab\u30fc\u30eb\u30fb\u30ab\u30fc\u30eb\u30fb\u30ec\u30b3\u30eb\u30ea\u30f3\u30b0\uff1a \u529b\u5b66\u3002 Vieweg\u3001Braunschweig 1994\u3001ISBN 3-528-28904-X\u3002 Karl-Eugen Kurrer\uff1a \u5efa\u8a2d\u7d71\u8a08\u306e\u6b74\u53f2\u3002\u30d0\u30e9\u30f3\u30b9\u3092\u63a2\u3057\u3066\u3044\u307e\u3059 \u3001Ernst Und Son\u3001Berlin 2016\u3001pp\u300288f\u3002\u3001pp\u3002395\u2013412\u304a\u3088\u3073pp\u3002452\u2013455\u3001ISBN 978-3-433-03134-6\u3002 \u2191  FritzSt\u00fcssi\uff1a \u79c1\u3092\u7f70\u3059\u308b\u305f\u3081\u306b \u7b2c4\u7248\u3002 1971\u5e74\u3001ISBN 3-7643-0374-3\u3001173\u30da\u30fc\u30b8\u304b\u3089  \u2191  \u30d4\u30d2\u30e9\u30fc\u3001\u30d9\u30eb\u30f3\u30cf\u30eb\u30c8\u3002 Eberhardsteiner\u3001Josef\uff1a Baustatik vo  –  lva-no\u3002202.065 \u3002 WHO 2016\u3001ISBN 978-3-903024-17-5\u3001 2.7.1 Queuranteile \u3068 10.2\u30af\u30ed\u30b9\u5171\u6709\u306e\u9078\u629e\u3055\u308c\u305f\u30ed\u30fc\u30c9\u30e1\u30f3\u30d0\u30fc \uff08 TU\u51fa\u7248\u793e [2016\u5e7412\u670810\u65e5\u306b\u30a2\u30af\u30bb\u30b9]\uff09\u3002   TU\u51fa\u7248\u793e \uff08 \u8a18\u5ff5 \u306e \u30aa\u30ea\u30b8\u30ca\u30eb 2016\u5e743\u670813\u65e5\u304b\u3089 \u30a4\u30f3\u30bf\u30fc\u30cd\u30c3\u30c8\u30a2\u30fc\u30ab\u30a4\u30d6 \uff09\uff09  \u60c5\u5831\uff1a \u30a2\u30fc\u30ab\u30a4\u30d6\u30ea\u30f3\u30af\u306f\u81ea\u52d5\u7684\u306b\u4f7f\u7528\u3055\u308c\u3066\u304a\u308a\u3001\u307e\u3060\u30c1\u30a7\u30c3\u30af\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u6307\u793a\u306b\u5f93\u3063\u3066\u30aa\u30ea\u30b8\u30ca\u30eb\u3068\u30a2\u30fc\u30ab\u30a4\u30d6\u306e\u30ea\u30f3\u30af\u3092\u78ba\u8a8d\u3057\u3066\u304b\u3089\u3001\u3053\u306e\u30e1\u30e2\u3092\u524a\u9664\u3057\u3066\u304f\u3060\u3055\u3044\u3002 @\u521d\u3081 @2 \u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\uff1awebachiv\/iabot\/shop.tuverlag.at  \u2191  \u30aa\u30ea\u30d0\u30fc\u30fb\u30ed\u30e0\u30d0\u30fc\u30b0\u3001\u30cb\u30b3\u30e9\u30a6\u30b9\u30fb\u30d2\u30f3\u30ea\u30c3\u30d2\uff1a \u30e1\u30ab\u30cb\u30c3\u30af\u306e\u524d\u306b\u30d1\u30cb\u30c3\u30af\u306b\u9665\u3089\u306a\u3044\u3067\u304f\u3060\u3055\u3044\uff01 – \u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0\u30b3\u30fc\u30b9\u306e\u53e4\u5178\u7684\u306a\u300c\u3086\u308b\u3044\u300d\u3067\u306e\u30ad\u30e3\u30b9\u30bb\u30b9\u3068\u697d\u3057\u307f \u3002\u306e\uff1a \u30d1\u30cb\u30c3\u30af\u306a\u3057\u3067\u52c9\u5f37\u3057\u307e\u3059 \u3002 8\u756a\u76ee\u3001\u6539\u8a02\u7248\u3002 \u30d0\u30f3\u30c9  4 \u3002 Vieweg+Teubner Verlag\u30012011\u3001ISBN 978-3-8348-1489-0\uff08349\u30da\u30fc\u30b8\u3001 springer.com [PDF]\u521d\u7248\uff1a1999\uff09\u3002   \u2191  B. Kauschinger\u3001St\u3002Ihlenfeldt\uff1a 6.\u904b\u52d5\u5b66\u3002 \uff08\u3082\u306f\u3084\u30aa\u30f3\u30e9\u30a4\u30f3\u3067\u5229\u7528\u3067\u304d\u306a\u304f\u306a\u308a\u307e\u3057\u305f\uff09\u304b\u3089\u30a2\u30fc\u30ab\u30a4\u30d6\u3055\u308c\u3066\u3044\u307e\u3059 \u30aa\u30ea\u30b8\u30ca\u30eb \u5348\u524d 2016\u5e7412\u670827\u65e5 ; 2016\u5e7412\u670827\u65e5\u306b\u30a2\u30af\u30bb\u30b9 \u3002   \u2191  J\u00fcrgenFr\u00f6schl\u3001Florian Achatz\u3001SteffenR\u00f6dling\u3001Matthias Decker\uff1a \u30af\u30e9\u30f3\u30af\u30b7\u30e3\u30d5\u30c8\u306e\u9769\u65b0\u7684\u306a\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u30c6\u30b9\u30c8\u6982\u5ff5 \u3002\u306e\uff1a MTZ\u30a8\u30f3\u30b8\u30f3\u30de\u30ac\u30b8\u30f3 \u3002 \u30d0\u30f3\u30c9  71 \u3001 \u3044\u3044\u3048\u3002  9 \u3002 Springer\u30012010\u3001 S.  614\u2013619 \uff08 springer.com \uff09\u3002   \u2191 a b  \u30cf\u30fc\u30d0\u30fc\u30c8\u30de\u30f3\u30b0\u3001G\u30db\u30d5\u30b9\u30c6\u30c3\u30bf\u30fc\uff1a \u5f37\u5ea6\u7406\u8ad6\u3002 ed\u3002\uff1aSpringer Verlag\u3002 \uff083.\u30a8\u30c7\u30a3\u30b7\u30e7\u30f3\uff09\u3002\u30a6\u30a3\u30fc\u30f3 \/\u30cb\u30e5\u30fc\u30e8\u30fc\u30af2008\u3001ISBN 978-3-211-72453-8\u30016.4 “\u901a\u5e38\u306e\u96fb\u5727”\u3001 S.  156 \uff08487 S.\u3001 springer.com \uff09\u3002   \u2191  \u30e1\u30a4\u30f3\u306e\u8a18\u4e8b\uff1aBiegelinie\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044  \u2191  \u30d0\u30fc\u5168\u4f53\u306b\u91cd\u3044\u95a2\u6570\u3068\u7d71\u5408\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059  \u2191  \u8c46\u7dda\u306e\u5bfe\u79f0\u6027\u306b\u3088\u308a\u3001\u306d\u3058\u308c\u7dda\u306e\u6297\u6e2c\u91cf\u304c\u7d9a\u304d\u307e\u3059 w\u2032(x=l2\u2212)=\u2212w\u2032(x=l2+){displaystyle textStyle w ‘\uff08x = {frac {l} {2} {2}}^{ – }\uff09= -w’\uff08x = {frac {l} {2}}^{+}}} \u30a4\u30f3\u30d7\u30ea\u30f3\u30c8\u3055\u308c\u305f\u89d2\u5ea6\u306e\u5909\u5316\u304c\u306a\u3044\u5834\u5408\uff08\u3053\u306e\u6642\u70b9\u3067\uff09\u3001\u89d2\u5ea6\u306f\u5b89\u5b9a\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u5de6\u7ffc\u5236\u9650\u5024 w\u2032(x=l2\u2212){displaystyle\u30c6\u30ad\u30b9\u30c8\u30b9\u30bf\u30a4\u30ebw ‘\uff08x = {frac {l} {2}^{ – }\uff09} \u6cd5\u7684\u5236\u9650\u306b\u7b49\u3057\u3044 w\u2032(x=l2+){displaystyle\u30c6\u30ad\u30b9\u30c8\u30b9\u30bf\u30a4\u30ebw ‘\uff08x = {frac {l} {2}^{+}\uff09} \u3001\u3053\u308c\u30892\u3064\u306e\u5f0f\u304b\u3089\u7d9a\u304d\u307e\u3059 w\u2032(x=l2+)=\u2212w\u2032(x=l2+){displaystyle textStyle w ‘\uff08x = {frac {l} {2}}^{+}\uff09= -w’\uff08x = {frac {l} {2}}^{+}}} \u305d\u3057\u3066\u3001\u3053\u306e\u65b9\u7a0b\u5f0f\u304b\u3089\u305d\u308c\u306f\u305d\u308c\u306b\u5f93\u3044\u307e\u3059 w\u2032(x=l2+)=0{displaystyle\u30c6\u30ad\u30b9\u30c8\u30b9\u30bf\u30a4\u30ebw ‘\uff08x = {frac {l} {2}^}^{+}\uff09= 0} \u306f  \u2191 a b c d  Bernhard Pichler\uff1a 202.068 Construction Statics 2 \u3002 WS2013\u30a8\u30c7\u30a3\u30b7\u30e7\u30f3\u3002\u30a6\u30a3\u30fc\u30f32013\u3001 VO_06_THIIO_UENVERGUNGS- \uff08 \u30a6\u30a3\u30fc\u30f3\u5de5\u79d1\u5927\u5b66\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u30d7\u30e9\u30c3\u30c8\u30d5\u30a9\u30fc\u30e0 \uff09\u3002   \u2191 a b c  \u30d4\u30d2\u30e9\u30fc\u3001\u30d9\u30eb\u30f3\u30cf\u30eb\u30c8\u3002 Eberhardsteiner\u3001Josef\uff1a Baustatik vo  lva-no\u3002202.065 \u3002 ed\u3002\uff1aTu Verlag\u3002 SS2016\u30a8\u30c7\u30a3\u30b7\u30e7\u30f3\u3002 Tu Verlag\u3001Vienna 2016\u3001ISBN 978-3-903024-17-5\u3001 \u30ec\u30d9\u30eb\u306e\u7dda\u5f62\u5b89\u5b9a\u7406\u8ad6 \uff08520\u30da\u30fc\u30b8\u3001 \u30a6\u30a3\u30fc\u30f3\u5de5\u79d1\u5927\u5b66\u306e\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30bb\u30f3\u30bf\u30fc [2017\u5e741\u670812\u65e5\u306b\u30a2\u30af\u30bb\u30b9]\uff09\u3002   \u30a6\u30a3\u30fc\u30f3\u5de5\u79d1\u5927\u5b66\u306e\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30bb\u30f3\u30bf\u30fc \uff08 \u8a18\u5ff5 \u306e \u30aa\u30ea\u30b8\u30ca\u30eb 2016\u5e743\u670813\u65e5\u304b\u3089 \u30a4\u30f3\u30bf\u30fc\u30cd\u30c3\u30c8\u30a2\u30fc\u30ab\u30a4\u30d6 \uff09\uff09  \u60c5\u5831\uff1a \u30a2\u30fc\u30ab\u30a4\u30d6\u30ea\u30f3\u30af\u306f\u81ea\u52d5\u7684\u306b\u4f7f\u7528\u3055\u308c\u3066\u304a\u308a\u3001\u307e\u3060\u30c1\u30a7\u30c3\u30af\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u6307\u793a\u306b\u5f93\u3063\u3066\u30aa\u30ea\u30b8\u30ca\u30eb\u3068\u30a2\u30fc\u30ab\u30a4\u30d6\u306e\u30ea\u30f3\u30af\u3092\u78ba\u8a8d\u3057\u3066\u304b\u3089\u3001\u3053\u306e\u30e1\u30e2\u3092\u524a\u9664\u3057\u3066\u304f\u3060\u3055\u3044\u3002 @\u521d\u3081 @2 \u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\uff1awebachiv\/iabot\/www.grafischenzentrum.com  \u2191  IFBS\uff1a 8.3\u30ac\u30ea\u30ec\u30aa\u306e\u66f2\u3052\u7406\u8ad6\u304b\u3089\u7802\u306e\u30ec\u30d9\u30eb\u7406\u8ad6\u3078  \u3054\u53c2\u7167\u304f\u3060\u3055\u3044\uff1a \u5927\u304d\u306a\u6570\u5b66\u8005\u304c\u4ecb\u5165\u3057\u307e\u3059 \uff08 \u8a18\u5ff5 2016\u5e743\u670815\u65e5\u304b\u3089 \u30a4\u30f3\u30bf\u30fc\u30cd\u30c3\u30c8\u30a2\u30fc\u30ab\u30a4\u30d6 \uff09\uff09       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/21348#breadcrumbitem","name":"Balkentherior-\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]