1
寮洸闂鐨勫垎鏋愯繃绋嬶細
寮洸闂鐨勫垎鏋愯繃绋嬶細
寮洸鍐呭姏
寮洸搴斿姏
寮洸鍙樺舰
瑙?/p>
鍐冲垰搴﹂棶棰?/p>
灏介噺浠庣悊璁轰笂鍒嗘瀽
鈥斺�?/p>
涓�鑸?/p>
鐒跺悗瀹為獙涓婇獙璇?/p>
鈥斺�?/p>
涓埆
2
鎷夊帇
鎵浆
寮洸
浼搁暱閲?/p>
杞
鎸犲害
deflection
鎸犲害
杞
rotation
杞
宸ョ▼涓婄殑姊佸彉褰㈤棶棰樹笉瀹?/p>
蹇借
鈥?/p>
褰卞搷浣跨敤
褰卞搷浣跨敤
鈥?/p>
寮曞彂鐮村潖
寮曞彂鐮村潖
鈥?/p>
浜х敓涓嶅畨鍏ㄦ劅
浜х敓涓嶅畨鍏ㄦ劅
鈥?/p>
鍑忓皯
鍐插嚮銆佹尟鍔?/p>
鍑忓皯鍐插嚮銆?/p>
鍑忓皯鍐插嚮
鈥?/p>
鍒╃敤鍙樺舰浣滀负寮�鍏?/p>
鍒╃敤鍙樺舰浣滀负寮�鍏?/p>
鎻愰珮鎬?/p>
鑳?/p>
3
姊佺殑寮哄害
姊佺殑鍒氬害
淇濊瘉姊佺殑鍏锋湁瓒冲鎶垫姉鐮村潖鐨勮兘鍔?/p>
淇濊瘉姊佷笉鍙戠敓杩囧ぇ鐨?/p>
鍙樺舰
杩囧ぇ鍙樺舰鐨勫嵄瀹?/p>
:
渚?/p>
1
锛氳溅搴婁富杞村彉褰㈣繃澶э紝褰卞搷鍏跺姞宸ョ簿搴︺�?/p>
杞﹀簥涓昏酱鍙?/p>
褰㈣繃澶э紝褰卞搷鍏跺姞宸ョ簿搴︺�?/p>
渚?/p>
2
锛氶珮灞傚缓绛戜笂閮ㄥ彉褰㈣繃澶э紝浼氫娇鍏朵腑鐨勫眳姘戜骇鐢?/p>
涓嶅畨鍏ㄦ劅銆?/p>
楂樺眰寤虹瓚涓婇儴鍙樺舰杩囧ぇ锛屼細浣垮叾涓殑灞呮皯浜х敓涓嶅畨鍏ㄦ劅銆?/p>
4
绗叚绔?/p>
搂
6
鈥?/p>
1
姒傝堪
寮洸鍙樺舰
搂
6
鈥?/p>
2
姊佺殑鎸犳洸绾胯繎浼煎井鍒嗘柟绋嬪強鍏剁Н鍒?/p>
搂
6
鈥?/p>
3
鎸夊彔鍔犲師鐞嗘眰
姊佺殑鎸犲害涓庤浆瑙?/p>
搂
6
鈥?/p>
4 搂
6
鈥?/p>
5 搂
6
鈥?/p>
6
绠�鍗曡秴闈欏畾姊佺殑姹傝В鏂规硶
绠�鍗曡秴闈欏畾姊佺殑姹傝В鏂?/p>
娉?/p>
姊佺殑鍒氬害鏍℃牳
濡備綍鎻愰珮姊佺殑鎵胯浇鑳藉姏
5 搂
6
锛嶏紤
姒?/p>
杩?/p>
鐮旂┒鑼冨洿锛氱瓑鐩存鍦ㄥ绉?/p>
寮洸鏃朵綅绉荤殑璁＄畻銆?/p>
鐮旂┒鑼冨洿锛氱瓑鐩存鍦ㄥ绉板集鏇叉椂浣嶇Щ鐨勮绠椼�?/p>
鐮旂┒鐩殑锛?/p>
鈶犲姊佷綔鍒氬害鏍℃牳锛?/p>
鐮旂┒鐩殑锛?/p>
瀵规浣滃垰搴︽牎鏍革紱
鈶¤В瓒呴潤瀹氭锛堜负鍙樺舰鍑犱綍
鏉′欢鎻愪緵琛ュ厖鏂圭▼锛夈�?/p>
瑙ｈ秴闈欏畾姊侊紙涓哄彉褰㈠嚑浣曟潯浠舵彁渚涜ˉ鍏呮柟绋嬶級銆?/p>
6
搴峰灏?/p>
澶фˉ
娉曞浗鏈�楂樼殑澶фˉ
7
鎴垮眿鐨勬í姊?/p>
8
澶╃嚎
9
鍘熷瓙鍔涙樉寰暅鎺㈠ご
娴佷綋鏈烘涓殑鎮?/p>
鑷傞榾闂?/p>
10
姊?/p>
鐨?/p>
寮?/p>
鏇?/p>
鍙?/p>
褰?/p>
瀹?/p>
楠?/p>
11
涓�銆佸害閲忔鍙樺舰鐨勪袱涓熀鏈綅绉婚噺
1.
鎸犲害锛?/p>
妯埅闈㈠舰蹇冩部鍨傜洿浜庤酱绾挎柟鍚戠殑绾夸綅绉汇�?/p>
琛ㄧず銆?/p>
1.
鎸犲害锛氭í鎴潰褰㈠績娌垮瀭鐩翠簬杞?/p>
绾挎柟鍚戠殑绾夸綅绉汇�傜敤
w
琛ㄧず銆?/p>
鎸犲害
琛ㄧず
鍚屽悜涓烘锛屽弽涔嬩负璐熴�?/p>
涓?/p>
w
鍚屽悜涓?/p>
姝ｏ紝鍙嶄箣涓鸿礋銆?/p>
C v C1 胃 dx dw P x 胃 2.
杞锛?/p>
2.
杞锛氭í鎴潰缁曞叾涓�ц酱杞?/p>
杞
鍔ㄧ殑瑙掑害銆?/p>
琛ㄧず锛?/p>
鍔ㄧ殑瑙掑害銆傜敤
胃
琛ㄧず锛岄『鏃?/p>
閽堣浆鍔ㄤ负姝ｏ紝鍙嶄箣涓鸿礋銆?/p>
閽堣浆鍔?/p>
涓烘锛屽弽涔嬩负璐熴�?/p>
f
鎸犳洸绾匡細鍙樺舰鍚庯紝杞寸嚎鍙樹负鍏夋粦鏇茬嚎锛岃鏇茬嚎绉颁负鎸犳洸绾裤�?/p>
浜屻�佹尃鏇茬嚎锛氬彉褰㈠悗锛岃酱绾垮彉涓哄厜婊戞洸绾匡紝璇ユ洸绾跨О涓烘尃鏇茬嚎銆?/p>
鍏舵柟绋嬩负锛?/p>
鍏?/p>
鏂圭▼涓猴細
w =w(x)
灏忓彉褰?/p>
涓夈�佽浆瑙掍笌鎸犳洸绾跨殑鍏崇郴锛?/p>
胃 = dw
杞涓庢尃鏇茬嚎鐨勫叧
绯伙細
tg dx 胃 < 1o (0.0175rad )
鈬?/p>
胃 = w'
(1) 12 13 14 搂
6-2
姊佺殑鎸犳洸绾胯繎浼煎井鍒嗘柟绋?/p>
鍙婂叾绉垎
15
涓�銆佹尃鏇茬嚎杩戜技寰垎鏂圭▼
M z ( x) = 蟻 EI z 1 (1) w M>0
鐢遍珮绛夋暟瀛︾殑
鐭ヨ瘑锛?/p>
w "( x) > 0 w M<0 w "( x) < 0 x 1 w "( x)
灏忓彉褰?/p>
=卤 鈮?nbsp;3 蟻 ( x) (1 + w '2 ) 2 x 卤
w "( x) M z (x)
鈭?/p>
w "( x ) = 卤
EIz M (x ) w" = L (2 ) EI z
寮忥紙
2
锛夊氨鏄尃鏇茬嚎杩戜技寰?/p>
鍒嗘柟绋嬨�?/p>
灏?/p>
鏄尃鏇茬嚎杩戜技寰垎鏂圭▼銆?/p>
16
瀵逛簬绛夋埅闈㈢洿姊侊紝鎸犳洸绾胯繎浼煎井鍒嗘柟绋嬪彲鍐欐垚濡備笅
褰㈠紡锛?/p>
EIw" (x) = M(x)
浜屻�佹眰鎸犳洸绾挎柟绋嬶紙寮规�ф洸绾匡級
姹傛尃鏇茬嚎鏂圭▼锛堝脊鎬ф洸
绾匡級
1.
寰垎鏂圭▼鐨勭Н鍒?/p>
EIw"( x) = M ( x) EIw '( x ) = 鈭?nbsp;( M ( x ))dx + C1 EIw ( x ) = 鈭?nbsp;
( 鈭?nbsp;( M ( x ))d x )d x + C1 x + C 2 2.
浣嶇Щ杈圭晫鏉′欢
P A C B D 17 P
鏀偣浣嶇Щ鏉′欢锛?/p>
wA = 0
杩炵画鏉′欢锛?/p>
鍏夋粦鏉′欢锛?/p>
璁ㄨ锛?/p>
璁ㄨ锛?/p>
wB = 0 wC
鈭?/p>
= wC + wD = 0 胃D = 0
= 胃C
鍙?/p>
鎴?/p>
鍐?/p>
鎴?/p>
wC
宸?/p>
= wC
鍙?/p>
鎴栧啓鎴?/p>
胃C 鈭?nbsp;= 胃C+ 胃C
宸?/p>
鈶犻�傜敤浜庡皬鍙樺舰鎯呭喌