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結構力學課程大作業(yè)結構力學大作業(yè)——多層多跨框架結構內力計算班班學號:U年月日1結構力學課程大作業(yè)1.計算簡圖:2.基本計算參數(shù)材料彈性模量:桿件尺寸及抗彎剛度抗拉剛度表其他層柱40016.73920000607503600000荷載列表3.荷載分組結構力學課程大作業(yè)按照書上的方法,將結構分為5層,分別用力矩分配法來計算,然后疊加。其中底層以上的柱子的剛度要乘以折減系數(shù)0.91/3傳遞系數(shù)取1/2。荷載:1.第五層計算線剛度:分配系數(shù):結點1:結點2:3結構力學課程大作業(yè)結點3:固端彎矩:彎矩分配計算:結點412356桿端0.4260.4098.4362.4210.3031.1980.1800.0173.5940.5390.0510.005-0.915-1.830-1.920-0.6400.1520.0140.001-1.266-2.533-1.876-1.783-0.8920.7270.3630.2180.435-0.119-0.238-0.176-0.167-0.0840.0680.0340.0200.041-0.011-0.022-0.017-0.016-0.0080.0060.0030.0020.0040.4570.0430.004分配與傳遞彎矩0.0021.396最終彎矩4.189-4.1898.465-2.069-6.3911.417-1.417-0.690-0.4722.第四層計算線剛度:分配系數(shù):結點4:結點5:4結構力學課程大作業(yè)結點6:固端彎矩:彎矩分配計算:1234567891-42-53-64-14-74-55-45-25-85-66-56-36-97-48-59-60.2990.2990.4020.3140.2330.2330.2210.3320.3390.3390.9670.104-0.4870.1220.2430.2480.2480.1040.083-0.0260.004-0.0010.0060.0120.0120.0120.005最終彎矩3.第三層計算第三層與第四層除了結點編號改變其他相同。線剛度:分配系數(shù):結點7:結點8:5結構力學課程大作業(yè)結點9:固端彎矩:彎矩分配計算:4567895-86-97-47-88-78-58-99-89-60.2990.2990.4020.3140.2330.2330.2210.3320.3390.3392.9013.9011.950-0.487-0.5140.0830.3110.3110.4180.209-0.0260.0040.0160.0160.0210.010-0.0010.1220.2430.2480.2480.1040.083-0.0260.004-0.0010.0060.0120.0120.0120.0054.第二層計算第二層計算也與第四層相同。線剛度:分配系數(shù):結點4:結點5:6結構力學課程大作業(yè)結點6:固端彎矩:彎矩分配計算:7895.底層計算線剛度:分配系數(shù):結點13:7結構力學課程大作業(yè)結點14:結點15:固端彎矩:彎矩分配計算:結點101112131415161718桿端0.8380.078-0.9420.140-0.448-1.022-0.0390.005-0.001最終彎矩8結構力學課程大作業(yè)桿端彎矩疊加與分配:9結構力學課程大作業(yè)結構力學課程大作業(yè)1.線剛度:底層以上柱=底層柱=邊梁=中間梁=2.計算相對轉動剛度:相對轉動剛度S’1.4171.0001.5921.1674i=38111.24i=60681.64i=44463.2其它層3.計算分配系數(shù):i0.0000.0000.5480.3260.5390.3110.2460.3500.3110.2460.45220.3950.4610.0000.2980.3000.0000.2980.0000.0000.3110.2460.3500.3110.2460.2790.0000.3780.2100.0000.3780.21034567811結構力學課程大作業(yè)0.3000.0000.2980.3000.0000.2740.2660.3500.3110.2460.3500.2800.2250.3100.3500.3110.2460.3500.3810.3080.4240.0000.3780.2100.0000.3390.1930.0001011121314154.荷載列表頂層中間梁12結構力學課程大作業(yè)5.分配與最終彎矩:13結構力學課程大作業(yè)結構力學課程大作業(yè)1.計算柱的剪力:因為每一排柱的線剛度都相等,每根柱的剪力相等。第五層柱:第四層柱:第三層柱:第二層柱:底層柱:2.計算柱的彎矩:因為每一排柱的線剛度都相等,每根柱的彎矩相等。第五層柱:第四層柱:第三層柱:第二層柱:底層柱:反彎點在柱2/3高處3.計算梁的彎矩:說明:邊梁和中間梁線剛度不一樣,所以邊梁按照0.313分配,中間梁按照0.687分配。結點1:結點2:15結構力學課程大作業(yè)結構力學課程大作業(yè)結構力學課程大作業(yè)則第i層的位移為第五層側移:13.966mm第四層側移:13.383mm第三層側移:11.764mm第二層側移:9.108mm第一層側移:5.416mm18結構力學課程大作業(yè)豎直荷載:結點,1,0,0結點,2,0,4.5結點,3,0,8.1(()67結點,4,0,11.7()()()()(()58結點,5,0,15.3結點,6,0,18.949(()結點,7,4.5,18.9結點,8,4.5,15.3結點,9,4.5,11.7結點,10,4.5,8.1結點,11,4.5,4.5結點,12,4.5,03(()2((1)()()1結點,13,7.5,0結點,14,7.5,4.5結點,15,7.5,8.1結點,16,7.5,11.7結點,17,7.5,15.3結點,18,7.5,18.9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,6,7,1,1,1,1,1,119結構力學課程大作業(yè)單元,7,8,1,1,1,1,1,1單元,8,9,1,1,1,1,1,1單元,9,10,1,1,1,1,1,1單元,10,11,1,1,1,1,1,1單元,11,12,1,1,1,1,1,1單元,13,14,1,1,1,1,1,1單元,14,15,1,1,1,1,1,1單元,15,16,1,1,1,1,1,1單元,16,17,1,1,1,1,1,1單元,17,18,1,1,1,1,1,1單元,18,7,1,1,1,1,1,1單元,5,8,1,1,1,1,1,1單元,8,17,1,1,1,1,1,1單元,4,9,1,1,1,1,1,1單元,9,16,1,1,1,1,1,1單元,3,10,1,1,1,1,1,1單元,10,15,1,1,1,1,1,1單元,2,11,1,1,1,1,1,1單元,11,14,1,1,1,1,1,1結點支承,1,6,0,0,0,0結點支承,12,6,0,0,0,0結點支承,13,6,0,0,0,0單元材料性質,1,1,5120000,68266.7,0,0,-1單元材料性質,11,11,5120000,68266.7,0,0,-1單元材料性質,12,12,5120000,68266.7,0,0,-1單元材料性質,2,5,3920000,40016.7,0,0,-1單元材料性質,7,10,3920000,40016.7,0,0,-120結構力學課程大作業(yè)單元材料性質,13,16,3920000,40016.7,0,0,-1單元材料性質,6,6,3600000,60750,0,0,-1單元材料性質,18,18,3600000,60750,0,0,-1單元材料性質,20,20,3600000,60750,0,0,-1單元材料性質,22,22,3600000,60750,0,0,-1單元材料性質,24,24,3600000,60750,0,0,-1單元材料性質,17,17,4000000,28583.3,0,0,-1單元材料性質,19,19,4000000,28583.3,0,0,-1單元材料性質,21,21,4000000,28583.3,0,0,-1單元材料性質,23,23,4000000,28583.3,0,0,-1單元材料性質,25,25,4000000,28583.3,0,0,-1單元荷載2,24,25,3,5.751,0,1,90單元荷載2,22,23,3,5.75,0,1,90單元荷載2,20,21,3,5.75,0,1,90單元荷載2,18,19,3,5.75,0,1,90單元荷載,6,3,5,0,1,90單元荷載,17,3,5,0,1,-90內力計算單位:力(kN),力矩(kN)桿端內力值(乘子=1)-----------------------------------------------------------------------------------------------桿端1桿端2----------------------------------------------------------------------------------單元碼軸力剪力彎矩軸力剪力彎矩-----------------------------------------------------------------------------------------------123456-63.1892227-50.5095199-37.5755806-24.4673931-11.1593928-3.11461771-1.24293977-2.28871949-2.41097378-2.39767365-3.1146177111.15939281.856937654.124144784.314174984.390907035.08101094-6.13161280-63.1892227-50.5095199-37.5755806-24.4673931-11.1593928-3.11461771-1.24293977-2.28871949-2.41097378-2.39767365-3.11461771-11.3406071-3.73629131-4.11524538-4.36533063-4.24071810-6.13161280-6.5393449521結構力學課程大作業(yè)-18.984597678-18.9845976-39.5972937-60.7277231-82.2930639-104.550571-42.2677061-34.0724161-25.4466962-16.5603130-7.35600947-1.726503260.716944060.43440393-0.013300140.031797800.122254290.136025221.045779720.536924221.388114451.105574321.150672261.164443190.655587690.587352081.124276301.260301521.292099331.72650326-7.3560094713.30800038.0456963913.10818758.3636168812.93393928.6242800912.67970279.05770998-2.70365060-1.96968704-2.09935125-2.10573588-1.95047724-0.90002906-1.95722652-2.20863059-2.33410647-2.811688973.40372277-9.32172904-3.39122924-8.75623766-3.87841200-8.42942036-4.29663902-7.86043609-4.993911771.388114451.105574321.150672261.164443190.655587690.587352081.124276301.260301521.292099331.726503267.64399053-12.5669997-9.20430361-12.7668124-8.88638312-12.9410607-8.62571991-13.1997972-8.195290022.293561412.010380502.043068872.086259590.999667361.743055302.090168162.328454902.317451113.403722773.83569435-7.65447769-5.12914009-7.98814376-4.66256137-8.44544378-4.29879875-9.03064861-3.70028182-39.5972937-60.7277231-82.2930639-104.550571-42.2677061-34.0724161-25.4466962-16.5603130-7.35600947-1.726503260.716944060.43440393-0.013300140.031797800.122254290.136025221.045779720.53692422910111213141516171819202122232425-----------------------------------------------------------------------------------------------左圖為彎矩圖,右圖為位移圖-6.136-6.543.843.40-6.13(6)(17)3.407()()67(5)-9.32(7)-7.65(16)-5.132.2117-3.39-4.24(18)2.29(19()()58585.08(4)-8.76(8)(15)-4.662.2016(14)-4.30-7.99-3.88-4.37(20)2.01(21()()49494.39(3)-8.43(9)-8.45-4.30-4.12(22)2.04(23()3102.171534.31(2)-7.86(10)(13)-3.70()-9.03-4.99-3.74(24)2.09(25()2112.12144.122(1)(11)(12)()()1.0012-0.901311y1.86x22結構力學課程大作業(yè)結點,1,0,0結點,2,0,4.5結點,3,0,8.1結點,4,0,11.7(6)(()67結點,5,0,15.3(5)(7)結點,6,0,18.9結點,7,4.5,18.9(()58結點,8,4.5,15.3結點,9,4.5,11.749(()結點,10,4.5,8.1結點,11,4.5,4.5(3結點,12,4.5,0()結點,13,7.5,0(2結點,14,7.5,4.5結點,15,7.5,8.1()1結點,16,7.5,11.7結點,17,7.5,15.3結點,18,7.5,18.9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,9,10,1,1,1,1,1,1單元,10,11,1,1,1,1,1,1單元,11,12,1,1,1,1,1,1單元,13,14,1,1,1,1,1,1單元,14,15,1,1,1,1,1,1單元,15,16,1,1,1,1,1,1單元,16,17,1,1,1,1,1,1單元,17,18,1,1,1,1,1,1單元,18,7,1,1,1,1,1,1單元,5,8,1,1,1,1,1,1單元,8,17,1,1,1,1,1,1單元,4,9,1,1,1,1,1,1單元,9,16,1,1,1,1,1,1單元,3,10,1,1,1,1,1,123結構力學課程大作業(yè)單元,10,15,1,1,1,1,1,1單元,2,11,1,1,1,1,1,1單元,11,14,1,1,1,1,1,1結點支承,1,6,0,0,0,0結點支承,12,6,0,0,0,0結點支承,13,6,0,0,0,0單元材料性質,1,1,5120000,68266.7,0,0,-1單元材料性質,11,11,5120000,68266.7,0,0,-1單元材料性質,12,12,5120000,68266.7,0,0,-1單元材料性質,2,5,3920000,40016.7,0,0,-1單元材料性質,7,10,3920000,40016.7,0,0,-1單元材料性質,13,16,3920000,40016.7,0,0,-1單元材料性質,6,6,3600000,60750,0,0,-1單元材料性質,18,18,3600000,60750,0,0,-1單元材料性質,20,20,3600000,60750,0,0,-1單元材料性質,22,22,3600000,60750,0,0,-1單元材料性質,24,24,3600000,60750,0,0,-1單元材料性質,17,17,4000000,28583.3,0,0,-1單元材料性質,19,19,4000000,28583.3,0,0,-1單元材料性質,21,21,4000000,28583.3,0,0,-1單元材料性質,23,23,4000000,28583.3,0,0,-1單元材料性質,25,25,4000000,28583.3,0,0,-1結點荷載,6,1,18,0結點荷載,5,1,32,0結點荷載,4,1,32,0結點荷載,3,1,32,0結點荷載,2,1,32,0內力計算單位:力(默認),力矩(默認)桿端內力值(乘子=1)-----------------------------------------------------------------------------------------------桿端1桿端2----------------------------------------------------------------------------------單元碼軸力剪力彎矩軸力剪力彎矩-----------------------------------------------------------------------------------------------1234153.97571397.882939653.112650922.499762646.565450934.520338425.048242215.4252663-133.294278-57.9167002-40.0785299-22.6610731153.97571397.882939653.112650922.499762646.565450934.520338425.048242215.425266376.250250666.356518150.095142032.869885624結構力學課程大作業(yè)5.86938514565.86938514-12.3555402-0.368148710.128303612.728375247.4915273914.5518871-168.527600-105.374467-55.8410262-22.6280663-5.50123643-3.06354117-22.2191934-8.23492183-22.3770241-7.45754983-22.5279037-7.49044521-19.9548874-14.92302385.64445976-5.869385149.2919990723.276270638.195744953.233203558.265067141.169481826.246458018.756012811.29846303.06354117-5.50123643-16.6303775-17.1268298-30.6128882-33.2129599-44.7702886-49.5334408-56.0927741-63.1531339-6.3907613613.9292937-19.5733933-45.3261637-72.2582240-98.1818543-111.517278-124.956682-42.4289920-28.1450042-14.5373851-1.615492959.4132552639.260646923.627915072.756215145.7248526106.43504868.3970612134.16695086.72442425.64445976-5.869385149.2919990723.276270638.195744953.233203558.265067141.169481826.246458018.756012811.29846303.06354117-5.5012

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