結(jié)構(gòu)力學(xué)課程大作業(yè)me

朽木易折，金石可鏤。千里之行，始于足下。第頁/共頁結(jié)構(gòu)力學(xué)課程大作業(yè)——延續(xù)梁的影響線、最不利荷載布置及內(nèi)力包絡(luò)圖年級土木1306學(xué)號U姓名廖棟華中科技大學(xué)土木工程與力學(xué)學(xué)院二0一五年十月

結(jié)構(gòu)力學(xué)課程作業(yè)題目序號L1L2L3X15212415X=0.4L3要求1、使勁法計算求得支點彎矩、的影響線；2、用撓度法計算求得支點彎矩、的影響線；3、求第二跨內(nèi)截面K的彎矩，剪力影響線及支座1的反力影響線；4、在求影響線的基礎(chǔ)上，舉行均布移動荷載的最不利布置；5、延續(xù)梁承受均布活荷載及恒載時，繪出彎矩、剪力包絡(luò)圖。計算1、繪制三跨等截面延續(xù)梁的彎矩影響線1）使勁法求作延續(xù)梁支點彎矩影響線所取基本結(jié)構(gòu)為分跨的簡支梁，多余約束未知力有；設(shè)荷載P=1作用于基本結(jié)構(gòu)第二跨時，圖及基本結(jié)構(gòu)的單位彎矩圖圖分離如圖所示：由此可以求得其中L1=21m，L2=24m，L3=15m[1]荷載在第一跨上相應(yīng)的力法方程為解得作出大致彎矩圖：所以[2]荷載在第二跨上相應(yīng)的力法方程為解得當(dāng)即作出大致彎矩圖：所以當(dāng)即作出大致彎矩圖：所以[3]荷載在第三跨上相應(yīng)的力法方程為解得作出大致彎矩圖：所以2）用撓度法求作延續(xù)梁支點彎矩影響線分配系數(shù)5/138/13固端彎矩111/2分配力矩及傳遞力矩-5/26-4/13桿端彎矩114/13-4/130分配系數(shù)8/157/15固端彎矩1/211分配力矩及傳遞力矩-4/15-7/30桿端彎矩0-4/154/15110倆種倆種主意求得的M1,M2影響線方程一致，用EXCEL每隔0.2取一個點制成數(shù)據(jù)點導(dǎo)入CAD作圖：同樣同樣主意求出MK,FQK,FR1的影響線4、在求影響線的基礎(chǔ)上，4、在求影響線的基礎(chǔ)上，舉行均布移動荷載的最不利布置；5延續(xù)5延續(xù)梁承受均布活荷載p=18kN/m及恒載q=12kN/m時，繪出彎矩、剪力包絡(luò)圖項目ABCD分系數(shù)6/137/135/116/11固彎矩661.500-576.0000576.000-337.500第1次分配-39.462-46.038-23.019-48.973-97.946-117.535第2次分配22.60326.37013.185-2.9965-5.993-7.192第3次分配1.3831.61350.807-0.1835-0.367-0.440第4次分配0.0850.0990.0495-0.011-0.0225-0.027第5次分配0.00520.0060.0030.00090.00140.0016總和0.0000646.114646.113462.698-462.6920.0000朽木易折，金石可鏤。千里之行，始于足下。第頁/共頁AB:AB:設(shè)M(x)=ax^2+bx,則F(x)=2ax+b,q(x)=2a=-12,a=-6,又因為經(jīng)過(21,-646.114),所以有:-646.114=-6*21^2+b*21,b=95.233.所以M(x)=-6x^2+95.233x,F(x)=-12x+95.233.同理可得:BC:M(x)=-6x^2+151.642x-646.113,F(x)=-12x+151.642.CD:M(x)=-6x^2+120.846x-462.692,F(x)=-12x+120.846.彎矩圖彎矩圖剪力圖ABCD分系數(shù)6/137/135/116/11固彎矩992.2500.00000.0000.000第1次分配-457.9615-534.2885-267.14460.7145121.429145.715第2次分配-28.022-32.692-16.3463.7157.4308.916第3次分配-1.7146-2.0004-1.00020.22730.45460.5456第4次分配-0.1049-0.1224-0.06120.0140.02780.0333第5次分配-0.0065-0.0075-0.0040.00090.00170.002總和0.0000504.441-504.440-155.212155.2120.000AB:M(x)=-9x^2+164.979xF(x)=-18x+164.979AB:M(x)=-9x^2+164.979xF(x)=-18x+164.979 BC:M(x)=27.486x-504.440F(x)=27.486CD:M(x)=-10.347x+155.212F(x)=-10.347彎矩圖剪力圖項目ABCD分系數(shù)6/137/135/116/11固彎矩0.000-864.000864.0000.000第1次分配398.769465.231231.6155-249.0035-498.007-597.6085第2次分配114.9247134.07967.0395-15.236-30.4725-36.567第3次分配7.0328.2044.1020.932-1.8645-2.2375第4次分配-0.430-0.502-0.2510.0570.1140.137第5次分配-0.0263-0.0307-0.0150.00350.0070.008總和0.0000520.269-520.266636.268-636.2680.0000AB:M(x)=-24.775xF(x)=-24.775AB:M(x)=-24.775xF(x)=-24.775BC:M(x)=-9x^2+211.167x-520.266F(x)=-18x+211.167CD:M(x)=42.418x-636.268F(x)=42.418彎矩圖剪力圖項目ABCD分系數(shù)6/137/135/116/11固彎矩0.0000.000-506.2500.000第1次分配115.057230.114276.136-53.103-61.954-30.977第2次分配7.04014.080516.8965-3.249-3.791-1.8955第3次分配0.4310.86161.0339-0.199-0.232-0.116第4次分配0.02650.0530.063-0.0122-0.01430.007第5次分配-0.0016-0.0032-0.00380.00070.0009總和0.0000-56.56356.571-294.126294.1260.00AB:M(X)=2.693xF(x)=2.693AB:M(X)=2.693xF(x)=2.693BC:M(X)=-14.612x+56.571F(x)=-14.612CD:M(X)=-9x^2+154.608x-294.126F(x)=-18x+154.608彎矩圖剪力圖彎矩包絡(luò)圖:彎矩包絡(luò)圖:第一跨距離036912151821恒載12kN/m0.00231.70355.40371.10278.8078.50-229.81-646.11第一跨活載18kN/m0.00413.94665.87755.81683.75449.6953.62-504.44第二跨活載18kN/m0.00-74.33-148.65-222.98-297.30-371.63-445.95-520.27第三跨活載18kN/m0.008.0816.1624.2432.3240.4048.4756.55Mmax/kN.m0.00653.721037.431151.15994.87568.59-127.72-589.56Mmin/kN.m0.00157.37206.75148.12-18.50-293.13-675.76-2260.38第二跨距離2427303336394245恒載12kN/m-245.19-47.74232.67309.59278.52139.44-107.63-462.71第一跨活載18kN/m-421.98-339.52-257.07-174.61-92.15-9.6972.766155.22第二跨活載18kN/m32.24422.74651.24717.74622.24364.74-54.76-636.26第三跨活載18kN/m12.74-31.10-74.94-118.77-162.61-206.45-250.28-294.12Mmax/kN.m-200.21375.00883.911027.33900.76504.18-34.86-307.49Mmin/kN.m-667.17-418.36-99.3416.2123.76-76.7-412.67-1393.09第三跨距離4851545760恒載12kN/m-154.1546.38138.92123.460.00第一跨活載18kN/m124.1793.1362.0931.050.00第二跨活載18kN/m-509.01-381.76-254.51-127.250.00第三跨活載18kN/m88.70309.52368.35265.170.00Mmax/kN.m58.72449.03569.36419.680.00Mmin/kN.m-663.16-335.38-115.59-3.790.00朽木易折，金石可鏤。千里之行，始于足下。第頁/共頁剪力包絡(luò)圖：第一跨距離036912151821恒載12kN/m95.2359.2323.23-12.77-48.77-84.77-120.77-156.77第一跨活載18kN/m164.98110.9856.982.98-51.02-105.02-159.02-213.02第二跨活載18kN/m-24.78-24.78-24.78-24.78-24.78-24.78-24.78-24.78第三跨活載18kN/m2.692.692.692.692.692.692.692.69Fmax/kN262.90172.9082.90-7.10-46.08-82.08-118.08-154.08Fmin/kN70.4534.45-1.55-37.55-124.57-214.57-304.57-394.57第二跨距離212427303336394245恒載12kN/m164.98110.9856.982.98-51.02-105.02-159.02-213.02-267.02第一跨活載18kN/m27.4927.4927.4927.4927.4927.4927.4927.4927.49第二跨活載18kN/m211.17157.17103.1749.17-4.83-58.83-112.83-166.83-220.83第三跨活載18kN/m-14.61-14.61-14.61-14.61-14.61-14.61-14.61-14.61-14.61Fmax/kN403.64295.64187.6479.64-23.53-77.53-131.53-185.53-239.53Fmin/kN150.3796.3742.37-11.63-70.46-178.46-286.46-394.46-502.46第三跨距離454851545760恒載12kN/m120.8584.8548.8512.85-23.15-59.15第一跨活載18kN