D值法例题详解

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解：1）求各柱的剪力值2）求出各柱的反弯点高度yh3）求各柱的柱端弯矩第三层MCD=12.800.413.3kN·m=17.32kN·mMDC=12.800.593.3kN·m=24.92kN·mMGH=13.900.453.3kN·m=20.64kN·mMHG=13.900.553.3kN·m=25.23kN·mMLM=10.290.353.3kN·m=11.88kN·mMML=10.290.653.3kN·m=22.07kN·m第二层MBC=34.720.503.3kN·m=57.29kN·mMFG=47.800.503.3kN·m=78.87kN·mMCB=57.29kN·mMGH=78.87kN·mMJL=28.480.453.3kN·m=42.29kN·mMML=28.480.553.3kN·m=51.69kN·m第一层MAB=56.680.553.9kN·m=121.6kN·mMEF=77.510.553.9kN·m=166.3kN·mMBA=56.680.453.9kN·m=99.47kN·mMFE=77.510.453.9kN·m=136.0kN·mMIJ=57.560.5753.9kN·m=129.1kN·mMJI=57.560.4253.9kN·m=95.41kN·m4）求各横梁梁端的弯矩第三层MDH=MDC=24.92kN·mMDH=25.23kN·m=16.45kN·mMHM=25.23kN·m=8.776kN·mMMH=MML=22.07kN·m第二层MCG=MCD+MCB=17.32kN·m+57.29kN·m=24.92kN·mMGC=（20.64+78.87）kN·m=62.65kN·mMGC=（20.64+78.87）kN·m=36.86kN·mMLG=MLM+MLJ=11.88kN·m+51.69kN·m=63.57kN·m第一层MBF=MBC+MBA=57.29kN·m+99.47kN·m=156.8kN·mMFB=（136.0+78.87）kN·m=143.2kN·mMFJ=（136.0+78.87）kN·m=71.62kN·mMJF=MJL+MJI=42.29kN·m+95.41kN·m=137.7kN·m5）绘各横梁与柱的弯矩图（单位：kN·m）如下图所示