D值法例题详解

1、v1.0可编辑可修改6例题:4、已知：框架计算简图，用 D值法计算内力并绘制弯矩图8。7KliHDM37KNGLF12333LJ3白一邙732mgs*c R-p5S7<L解：1 ）求各柱的剪力值CDGHLMP 1.5 + 1.7 rr” 2x0 7p 15 + 0.8 + 17 + 10 2x0.6=4.166/ C.8+1 0 1 nnnK =1.0002x09第层D= -2 X 0 7x 2 + 2.28612(一) =13734 x 3 3x3 3(12 )3.3x3.3D=x 0 t5 x2 + 4.166()=0.40S4 x 33x3 3(12 ) 3.3x331000 xo

2、px2 十 1.000(一)=0.3000x 33x3.3(4)3Jx3.3司加9”-)3.3x3 3X 兴 0.3734V=37 父=12 801.079kN0 4054V=37x-= 13.90 kN1X79V=10.2PkbI皂层-17 + 2.4 aK2 9292x07行 2.4 +1.2 -1-1.7 + 10长一"09_3.500-10+12K1J222x0.9£。=1 33强 (12 ) 3.333L 2 9292 + 2 92912()=0.4160 x33x3.3() 33x3.33.500D= x Q.9 x2 4-3.50012()=0 5717 x3

3、 3x3.3(-) 33x3.3口中0 341 () 3.3x33V=D.41ri0x 37+74 = 1 330 弭72 kN夕+74 7=0,5727 x=47.501.330V=2048kN第层一2 4 jr=4.000ci. 607? 2,4 +1.2K=4.500081 ?r=1.5000.81.522x) 3 g乂殳90 5+4 000D= x Id x2 + 4阿12()=0.-4500x39x3.9()3.9X3.90.5 + 4500D= x 0.5 x2+45。12()=0,C154 x3 9K3.9M9 乂工9D=0.4570x)3.9 乂 3937 + 74 + 80.

4、7V=0.4500 x=1.52256.68 kN37+7 + 30.7V-0.6154 X=1.52271.51UN2 ）求出各柱的反弯点高度 yhCDGHLM第层Z-3.28(5 yo=z0r41I=0,8324 yi 旬 (1.0电=07=0,41+0+0=0.41%=口,45I=Lltl=0.S519 yi-01.7+1.00=10y；07=0.45+00.45-1 000yo=0.35I-=sO.SOOO yi=(i 1.0C1 0571=0yO. 35+0+0=0.35BCFGJL第层Z=2J29yir0-501.7I07053 VlOI之4的=1.0yj=O39电. -L. 18

5、2也.口3.37=0,50+0+0=0.50Z=3.50Cyo-0.501" ?"十 1' -J 7541 y =口 2.4 + 1.02=1.0yji=O1.182y尸口7=0.50+00=150=1,222yt-o.451.2&=1 .口yj=Oc=l 132y?句尸045+0+。=口.45AEEFU第层Z=4.000y()0.553.3胃=口和$273=03.9y=0.55+0=155Z=4.500我=0. 55的=184 6 2yi=Oy0.550=0.55Z = 1,SOOy(j=O 575因=0&。2yj=Oy0.575+M.5753)求

6、各柱的柱端弯矩第三层Mcd=工 kN mMdc=x xkNm =kN-mMgh=x xkNm =kN-mMhg=x xkNm =kN-mMlm=x xkNm =kN-mMml=x xkNm =kN-m第二层Mbc=x x kN m = kN - mMfg=乂 义 kN . m = kN mMcb= kN - mMgh= kN - mMjl=x m kN m = kN - mMml=x m kN m = kN - m第一层Mb=x 义kN .m = kN-mMf=x 乂kN m = kN-mMa=x 义kN .m = kN-mMe=x mkN m = kN-mMJ=X xkN m = kN-mM

7、i =x xkN m = kN-m4）求各横梁梁端的弯矩第三层MDh= Mdc= kN - mL5MDh=15 + 0.8 k kN m = kN - mMHm= 1 5 + 0.8m kNI - m = kN - mMMh= Mml= kN - m第二层MCg= Mcd+ Mcb = kN - m + kN m = kN - mMGc=17+1。乂 （+） kN m = kN - m1.QMg= L 7 + 1° m（+）kN m = kN - mMlg= Mlm+ Mlj = kN - m + kN m = kN - m第一层Mbf= Mbc+ Mba = kN . m + kN . m = kN m2.4Mfb=2.4+（ +）kN m = kN mL2Mfj=2.4 + L2x（ +）kN m = kN mMjf= Mjl+ Mji = kN - m + kN m = kN - m5）绘各横梁与柱的弯矩图（单位：kN - m如下图所示13.80 V8.77617.3?11643686 W13SC1KN57.2156 8056.6