結(jié)構(gòu)力學(xué)求解器求解示例

1、結(jié)構(gòu)力學(xué)（二）上機(jī)試驗(yàn)結(jié)構(gòu)力學(xué)求解器的使用上機(jī)報(bào)告班級(jí): 姓名: 辱口子3:日期:實(shí)驗(yàn)三、計(jì)算結(jié)構(gòu)的影響線1 實(shí)驗(yàn)任務(wù)(1) 作以下圖示梁中截面D的內(nèi)力M d、Fqd的影響線F=1觀覽器：Md的影響線觀覽器：Fqd的影響線編輯器：結(jié)點(diǎn),1,0,0結(jié)點(diǎn),2,3,0結(jié)點(diǎn),3,6,0結(jié)點(diǎn),4,12,0結(jié)點(diǎn),6,6,1結(jié)點(diǎn),5,17,1單元,1,2,1,1,0,1,1,1單元,2,3,1,1,1,1,1,1單元,3,4,1,1,1,1,1,0單元,3,6,1,1,0,1,1,0單元,6,5,1,1,0,1,1,0 結(jié)點(diǎn)支承,1,3,0,0,0 結(jié)點(diǎn)支承,4,1,0,0 結(jié)點(diǎn)支承,5,3,0,0,0影響

2、線參數(shù),-2,1,1,3影響線參數(shù),-2,1,1,2End作以下圖示梁中截面D的內(nèi)力Md、Fqd的影響線觀覽器：Md的影響線Fqd的影響線編輯器：結(jié)點(diǎn),1,0,0結(jié)點(diǎn),2,2,0結(jié)點(diǎn),3,4,0結(jié)點(diǎn),4,6,0結(jié)點(diǎn),5,8,0結(jié)點(diǎn),6,0,1結(jié)點(diǎn),7,8,1結(jié)點(diǎn),8,2,1結(jié)點(diǎn),9,4,1結(jié)點(diǎn),10,6,1單元,121,1,0,1,1,1單元,2,3,1,1,1,1,1,1單元,3,4,1,1,1,1,1,1單元,4,5,1,1,1,1,1,0單元,1,6,1,1,1,1,1,0單元,6,8,1,1,0,1,1,0單元,8,9,1,1,0,1,1,0單元,9,10,1,1,0,1,1,0單元,

3、10,7,1,1,0,1,1,0單元,7,5,1,1,0,1,1,0單元,821,1,0,1,1,0單元,931,1,0,1,1,0單元,10,4,1,1,0,1,1,0結(jié)點(diǎn)支承,1,3,0,0,0結(jié)點(diǎn)支承,5,1,0,0結(jié)點(diǎn)支承,7,1,90,0影響線參數(shù),22,1/2,2影響線參數(shù),-2,2,1/2,3End(2) 自選題：在教材或其它參考書中自選一個(gè)繪制結(jié)構(gòu)影響線的例題或習(xí)題, 上機(jī)進(jìn)行求解。觀覽器：Fqd的影響線M D的影響線:3.編輯器：結(jié)點(diǎn),1,0,0結(jié)點(diǎn),2,0,2結(jié)點(diǎn),3,3,2結(jié)點(diǎn),4,4.5,2結(jié)點(diǎn),5,6,2單元,1,2,1,1,1,1,1,1單元 23,1,1,1,1,

4、1,0單元,3,4,1,1,0,1,1,1單元,4,5,1,1,1,1,1,1結(jié)點(diǎn)支承,1,6,0,0,0,0結(jié)點(diǎn)支承,4,1,0,0影響線參數(shù),-2,2,2/3,3影響線參數(shù),-2,2,2/3,2End心得體會(huì)：此次影響線的求解過(guò)程讓我再次看到了利用求解器解決 復(fù)雜桿件影響線作圖的便捷之處，而且操作簡(jiǎn)單明了。結(jié)果準(zhǔn)確漂亮， 但值得注意的地方就是影響線參數(shù)的輸入必須要準(zhǔn)確合理，這樣才能得到確切的實(shí)驗(yàn)結(jié)果！實(shí)驗(yàn)四、力法的輔助計(jì)算1 實(shí)驗(yàn)任務(wù)(1)相等I求解圖中的二次超靜定剛架。剛度參數(shù)如下取結(jié)點(diǎn) 3水平反力為基本未知力，各桿長(zhǎng)4m桿件(1)EA 5.2106kN,EI1.25 105kN m2結(jié)

5、點(diǎn),1,0,0結(jié)點(diǎn),2,0,4結(jié)點(diǎn),3,4,4單元,1,2,1,1,1,1,1,1單元,2,3,1,1,1,1,1,1結(jié)點(diǎn)支承,1,6,0,0,0,0結(jié)點(diǎn)支承,3,1,0,0單元荷載,2,3,24,0,1,90結(jié)點(diǎn)荷載,2,1,20,0單元材料性質(zhì),1,1,5200000,125000,0,-1,-1單元材料性質(zhì),2,2,4500000,120000,0,-1,-1結(jié)點(diǎn)荷載,3,1,1,180觀覽器:p =0.00229m,11 =-0.00008由X pn求得基本未知力 X =28.625。編輯器：結(jié)點(diǎn),1,0,0結(jié)點(diǎn)，2,0,4結(jié)點(diǎn),3,4,4單元,1,2,1,1,1,1,1,1單元,2,

6、3,1,1,1,1,1,1結(jié)點(diǎn)支承,1,6,0,0,0,0結(jié)點(diǎn)支承,3,1,0,0結(jié)點(diǎn)荷載,3,1,28.625,180單元荷載,2,3,24,0,1,90結(jié)點(diǎn)荷載,2,1,20,0 單元材料性質(zhì),1,1,5200000,125000,0,-1,-1單元材料性質(zhì),2,2,4500000,120000,0,-1,-1觀覽器：24 93乖11剪力圖:(2)教材 P272、273 習(xí)題 6-22 (a)。編輯器：結(jié)點(diǎn)，1,0,0結(jié)點(diǎn),2,0,4結(jié)點(diǎn),3,6,6結(jié)點(diǎn),4,12,4結(jié)點(diǎn),5,12,0單元,1,2,1,1,1,1,1,1單元 23,1,1,1,1,1,1單元,3,4,1,1,1,1,1,1

7、單元,4,5,1,1,1,1,1,1結(jié)點(diǎn)支承，5,1,0,0結(jié)點(diǎn)支承,1,2,-90,0,0單元荷載,2,3,10,0,1,90,1單元材料性質(zhì),1,1,-1,1,0,-1,-1單元材料性質(zhì),2,2,-1,0.2,0,-1,-1單元材料性質(zhì)，3,3,-1,0.2,0,-1,-1單元材料性質(zhì),4,4,-1,1,0,-1,-1觀覽器:P= 19921.8336 ,11 =-1644.84913由X11求得基本未知力 X =12.11。編輯器：結(jié)點(diǎn),1,0,0結(jié)點(diǎn),2,0,4結(jié)點(diǎn),3,6,6結(jié)點(diǎn),4,12,4結(jié)點(diǎn),5,12,0單元,1,2,1,1,1,1,1,1單元,2,3,1,1,1,1,1,1單

8、元,3,4,1,1,1,1,1,1單元,4,5,1,1,1,1,1,1結(jié)點(diǎn)支承,5,1,0,0結(jié)點(diǎn)支承,1,2,-90,0,0單元材料性質(zhì)，1,1,-1,1,0,-1,-1單元材料性質(zhì),22-1,020,-1,-1單元材料性質(zhì)，3,3,-1,0.2,0,-1,-1單元材料性質(zhì),4,4,-1,1,0,-1,-1結(jié)點(diǎn)荷載,5,1,12.11,180單元荷載,2,3,10,0,1,90,1觀覽器:uuummmmm剪力圖:彎矩圖:當(dāng)s=1時(shí)，剪力圖：彎矩圖:當(dāng)s=5時(shí)，剪力圖：彎矩圖:(3) 自選題：在教材中或其它參考書中自選一個(gè)力法計(jì)算的例題或習(xí)題，上 機(jī)進(jìn)行求解。編輯器：結(jié)點(diǎn),1,0,0結(jié)點(diǎn),2,

9、0,6結(jié)點(diǎn),3,0,12結(jié)點(diǎn),4,9,12結(jié)點(diǎn),5,9,6結(jié)點(diǎn),6,9,0單元,1,2,1,1,1,1,1,1單元,2,3,1,1,1,1,1,1單元,3,4,1,1,1,1,1,1單元,4,5,1,1,1,1,1,1單元,5,6,1,1,1,1,1,1單元,2,5,1,1,1,1,1,1結(jié)點(diǎn)支承,6,1,0,0結(jié)點(diǎn)支承,1,2,-90,0,0單元材料性質(zhì)，1,1,-1,1,0,-1,-1單元材料性質(zhì)，2,2,-1,1,0,-1,-1單元材料性質(zhì)，4,4,-1,1,0,-1,-1單元材料性質(zhì)，5,5,-1,1,0,-1,-1單元材料性質(zhì)，3,3,-1,2,0,-1,-1單元材料性質(zhì)，6,6,-

10、1,2,0,-1,-1 結(jié)點(diǎn)荷載,3,1,10,0結(jié)點(diǎn)荷載,6,1,1,180觀覽器:p = 1076.03658,11 = -215.208220由X p； 11求得基本未知力X =5。編輯器：結(jié)點(diǎn),1,0,0結(jié)點(diǎn),2,0,6結(jié)點(diǎn),3,0,12結(jié)點(diǎn),4,9,12結(jié)點(diǎn),5,9,6結(jié)點(diǎn),6,9,0單元,1,2,1,1,1,1,1,1單元,2,3,1,1,1,1,1,1單元,3,4,1,1,1,1,1,1單元,4,5,1,1,1,1,1,1單元,5,6,1,1,1,1,1,1單元,2,5,1,1,1,1,1,1結(jié)點(diǎn)支承,6,1,0,0結(jié)點(diǎn)支承,12-90,0,0單元材料性質(zhì) 單元材料性質(zhì) 單元材料

11、性質(zhì) 單元材料性質(zhì) 單元材料性質(zhì) 單元材料性質(zhì) 結(jié)點(diǎn)荷載 結(jié)點(diǎn)荷載,1,1,-1,1,0,-1,-1,2,2,-1,1,0,-1,-1,4,4,-1,1,0,-1,-1,5,5,-1,1,0,-1,-1,3,3,-1,2,0,-1,-1,6,6,-1,2,0,-1,-1,6,1,5,180,3,1,10,0觀覽器：J42591剪力圖:JOf 1 Hjl5JWpo21 1?3-DJ35 WO呵zzspo彎矩圖:IK.00-T-Tr|-B.Q000jsW爲(wèi)tuao-j h-0 0042.00JIL心得體會(huì)：這次實(shí)驗(yàn)讓我看到了力法求解的正確性與合理性以及在 手算解題中的重要地位，此方法對(duì)于靜定和超靜

12、定結(jié)構(gòu)均適用。 通過(guò) 這次實(shí)驗(yàn)操作讓我更加的熟悉了力法方程的使用以及在求解中的形 式，值得注意的地方就是在剛架的材料性質(zhì)的輸入時(shí)要注意抗拉剛度 EA 一般是無(wú)窮大！實(shí)驗(yàn)五、超靜定結(jié)構(gòu)的內(nèi)力與變形計(jì)算1 實(shí)驗(yàn)任務(wù)(1) 圖示超靜定剛架，兩桿長(zhǎng)相等I 4m，剛度參數(shù)為：AC桿 EA 5.2 106kN,EI 1.25 105kN m2；BC桿EA 4.5 106kN, EI 1.2 105kN m2?，F(xiàn) A 支座豎直向下沉降 0.01m，水 平向右移動(dòng)0.01m，試求其變形圖和彎矩圖。編輯器：結(jié)點(diǎn),1,0,0結(jié)點(diǎn),2,0,4結(jié)點(diǎn),3,4,4單元,1,2,1,1,1,1,1,1單元,2,3,1,1,

13、1,1,1,0結(jié)點(diǎn)支承,3,2,0,0,0結(jié)點(diǎn)支承,1,6,0,0.01,-0.01,0單元材料性質(zhì),1,1,5200000,125000,0,0,-1單元材料性質(zhì),2,2,4500000,120000,0,0,-1觀覽器：(1)彎矩圖:變形圖:(2) 圖示框架底層左邊第一間起火，溫度上升了t 100 C。用求解器計(jì)算溫度改變引起的最大彎矩值。各桿截面高642h 0.6m, EA 5 10 kN, El 2 10 kN m 013（W）143(20)1$(11)(21)9血1(J(V)rW)(1?)73(2)(3)t =zz!lyZ775mIkH16 -"（訃1e(4)編輯器：結(jié)點(diǎn),

14、1,0,0結(jié)點(diǎn),2,0,5結(jié)點(diǎn),3,0,10結(jié)點(diǎn),4,0,15結(jié)點(diǎn),5,5,15結(jié)點(diǎn),6,10,15結(jié)點(diǎn),7,15,15結(jié)點(diǎn),8,15,10結(jié)點(diǎn),9,15,5結(jié)點(diǎn),10,15,0結(jié)點(diǎn),11,10,10結(jié)點(diǎn),12,10,5結(jié)點(diǎn),13,10,0結(jié)點(diǎn),14,5,10結(jié)點(diǎn),15,5,5結(jié)點(diǎn),16,5,0單元,1,2,1,1,1,1,1,1單元,2,3,1,1,1,1,1,1單元,3,4,1,1,1,1,1,1單元,4,5,1,1,1,1,1,1單元,5,6,1,1,1,1,1,1單元,6,7,1,1,1,1,1,1 單元,7,8,1,1,1,1,1,1單元,8,9,1,1,1,1,1,1單元,9,10

15、,1,1,1,1,1,1單元,3,14,1,1,1,1,1,1單元,14,11,1,1,1,1,1,1單元,11,8,1,1,1,1,1,1單元,2,15,1,1,1,1,1,1單元,15,12,1,1,1,1,1,1單元,12,9,1,1,1,1,1,1單元,5,14,1,1,1,1,1,1單元,14,15,1,1,1,1,1,1單元,15,16,1,1,1,1,1,1單元,6,11,1,1,1,1,1,1單元,11,12,1,1,1,1,1,1單元,12,13,1,1,1,1,1,1結(jié)點(diǎn)支承,16,6,0,0,0,0結(jié)點(diǎn)支承,1,6,0,0,0,0結(jié)點(diǎn)支承,10,6,0,0,0,0結(jié)點(diǎn)支承

16、,13,6,0,0,0,0單元溫度改變,1,1,0,100,0.00001,0.6單元溫度改變,13,13,0,100,0.00001,0.6單元溫度改變,18,18,0,100,0.00001,0.6單元材料性質(zhì),1,21,5000000,20000,0,0,-1觀覽器：彎矩圖:桿端1桿端2單元碼軸力剪力彎矩軸力剪力彎矩14.26305588-3.05083676-25.77249624.26305588-3.05083676-41.026680023.151713163.37911130-9.651263393.151713163.379111307.2442931031.07039005

17、0.042536661.281743731.070390050.042536661.4944270240.04253666-1.070390051.494427020.04253666-1.07039005-3.857523215-0.428019042.27369605-5.58661676-0.428019042.273696055.781863476-1.00294570-1.312285184.06964969-1.00294570-1.31228518-2.491776197-1.312285181.00294570-2.49177619-1.312285181.002945702.

18、522952328-2.28539281-0.288368960.61981095-2.28539281-0.28836896-0.822033839-3.570404571.49024145-3.46343767-3.570404571.490241453.98776957103.33657464-2.081323115.962549373.33657464-2.08132311-4.44406618112.331555123.28012349-8.380492572.331555123.280123498.02012487121.29131466-0.973107632.962396791

19、.29131466-0.97310763-1.9031413813-6.42994805-1.11134273-31.3754166-6.42994805-1.11134273-36.932130214-4.202083242.68932236-6.66990248-4.202083242.689322366.7767093315-1.77861040-1.285011763.78365496-1.77861040-1.28501176-2.6414038416-3.34408609-0.470555701.72909355-3.34408609-0.47055570-0.6236849217

20、-8.70553269-1.475575213.31274146-8.70553269-1.47557521-4.0651346018-12.50619770.75228960-34.3273623-12.50619770.75228960-30.5659144193.58598122-0.574926671.712213783.58598122-0.57492667-1.16241955207.83921234 -1.615167133.895308537.83921234 -1.61516713 -4.1805271321 11.8135464 0.80830571 -1.18747276

21、 11.8135464 0.80830571 2.85405578最大彎矩值： -41.0266800（3）自選題：在教材或其它參考書中自選一個(gè)超靜定結(jié)構(gòu)計(jì)算的 例題或習(xí)題，上機(jī)進(jìn)行求解。 7-20（ a） 編輯器：結(jié)點(diǎn),1,0,0結(jié)點(diǎn),2,0,8結(jié)點(diǎn),3,6,8結(jié)點(diǎn),4,12,8結(jié)點(diǎn),5,18,8結(jié)點(diǎn),6,24,8結(jié)點(diǎn),7,24,0結(jié)點(diǎn),8,18,0結(jié)點(diǎn),9,12,0結(jié)點(diǎn),10,6,0 單元,1,2,1,1,1,1,1,1 單元,2,3,1,1,1,1,1,1 單元,3,4,1,1,1,1,1,1 單元,4,5,1,1,1,1,1,1 單元,5,6,1,1,1,1,1,1 單元,6,7,1,

22、1,1,1,1,1 單元,3,10,1,1,1,1,1,1 單元,4,9,1,1,1,1,1,1 單元,5,8,1,1,1,1,1,1 結(jié)點(diǎn)支承 ,10,6,0,0,0,0 結(jié)點(diǎn)支承 ,1,6,0,0,0,0 結(jié)點(diǎn)支承 ,9,6,0,0,0,0 結(jié)點(diǎn)支承 ,8,6,0,0,0,0 結(jié)點(diǎn)支承 ,7,6,0,0,0,0 單元材料性質(zhì) ,1,9,4500000,120000,0,0,-1 單元溫度改變 ,1,6,-10,-40,0.00001,0.6 單元溫度改變 ,7,9,10,0,0.00001,0.6 觀覽器：C3)(!)10M.耳內(nèi)力計(jì)算桿端內(nèi)力值（乘子=1）桿端1桿端2單元碼軸力剪力彎矩軸力剪力彎矩6.523765864.480