材料力學習題課(變形計算))

1、CABaqaaaDCABaqaaaDCABaqaaaDM2qa2qaABmCDmABmCDmMmF2l2lFF2l2lF2Fl2FlM2l2l1lMF2l2lFF2l2l2l2lF22232231lEIlFEIlFw EIFlw332 EIFlwww3214811 1w2w2Fl2FlMlMEIlFllFlw3843422 EIFl34811 43l3l2Fl2FlM1M1EIFlEIFlFl831)84(222 qllEIql367 ( )qll22ql232qlMll1M122ql232qlMM1EIql367 ( )EIlqlql1)231(23 qllqllqll EIqlEIqlEI

2、lq67662333 q2l2lqlq2l2lql322ql283ql285qlM2l2l1M1322ql283ql285qlMM1222832123232222qlllqllqlwM 34817ql 1 CMEIqlEIMwCM34817 FlFllFlFllFlMFl1llMlFlMFlMl)312123221(122lFllFlEIw EIFl23 32l32l3l1llM11FlMFlM1)131213221(1222 FlFlFlEI EIFl672 3231qll22qlACBqll22qlACBM22ql82qlllACB11M12M22ql82qlM122331)3122123

3、832(122 lqllqlEIC EIql243 CC 2/2qlCABlqlllEIqlwC2454 EIqlB123 a4qCABaqaFACBFAC mm sinFRM B1AC mmB sinRM lBydsEIMM dEIFR 2023sinEIFR43 eMACeMAC mmeMeM T M sineMM coseMT sin M cos T dsGITTdsEIMMlPl 11.圖示結構中三桿的剛度均為圖示結構中三桿的剛度均為EA, AB 為剛體，為剛體，F(xiàn)、l、EA皆為已知。皆為已知。單位力法或圖乘法單位力法或圖乘法求求C點的垂直點的垂直位位移移。l/2l/2結構軸力圖結構軸

4、力圖 2F 2F 0單位力結構軸力圖單位力結構軸力圖 21 21 0 2F 2F 0 21 21 0EAFlEAlFllFCy2212200212 q2qlllABCD12.圖示結構中圖示結構中各各桿的桿的拉壓拉壓剛度均為剛度均為EA, 彎曲剛度均彎曲剛度均為為EI，q、l皆為已知。求皆為已知。求B處轉角處轉角。q2qlABCDABCD2ql2ql2ql)23(ql )2(ql)0(MFN,82ql1ABCDABCD)1(l )1(l)0(MFN,1ABCD)1(l )1(l)0(MFN,1EAllqlllqlEIqlqlB )1()23(122183232233 EAqlEIql2833 ABCD2ql2ql2ql)23(ql )2(ql)0(MFN,82qlq2qlllABCD13.圖示結構中圖示結