1、,框架結(jié)構(gòu)設(shè)計(jì)例題,混凝土結(jié)構(gòu)設(shè)計(jì)原理2012級,2020/7/11,2,豎向荷載下分層法 計(jì)算例題,右圖括號中為梁、柱線剛度的相對值,2020/7/11,3,注：內(nèi)力及位移正負(fù)號規(guī)定 本題中， 桿端彎矩以順時(shí)針為正， 剪力以使隔離體產(chǎn)生順時(shí)針轉(zhuǎn)動(dòng)趨勢為正， 軸力以受壓為正； 桿端轉(zhuǎn)角以順時(shí)針為正，側(cè)移或相對側(cè)移以向右為正。,豎向荷載下分層法 計(jì)算例題,2020/7/11,4,內(nèi)力符號規(guī)定,位移符號規(guī)定,豎向荷載下分層法 計(jì)算例題,2020/7/11,5,F,頂層計(jì)算簡圖,底層計(jì)算簡圖,豎向荷載下分層法 計(jì)算例題,2020/7/11,青海大學(xué),6,計(jì)算節(jié)點(diǎn)彎矩分配系數(shù),節(jié)點(diǎn) G：,節(jié)點(diǎn) H：,

2、節(jié)點(diǎn) I：,2020/7/11,7,計(jì)算節(jié)點(diǎn)彎矩分配系數(shù),節(jié)點(diǎn) D：,2020/7/11,8,計(jì)算節(jié)點(diǎn)彎矩分配系數(shù),節(jié)點(diǎn) E：,2020/7/11,9,計(jì)算節(jié)點(diǎn)彎矩分配系數(shù),節(jié)點(diǎn) F：,2020/7/11,10,計(jì)算桿件固端彎矩：頂層,q,J,K,2020/7/11,11,計(jì)算桿件固端彎矩：底層,D,E,G,H,I,F,下柱,右梁,左梁,下柱,右梁,下柱,左梁,計(jì)算各節(jié)點(diǎn)彎矩：頂層,-13.13,13.13,-7.32,7.32,8.77,4.36,-1.00,-6.32,4.38,-3.16,-1.23,-2.49,-3.32,-1.25,0.41,0.84,4.77,-4.77,1.59,

3、-1.66,1.43,0.23,0.77,-0.77,-0.26,0.42,0.72,-0.20,-0.40,-0.54,-1.43,15.05,-13.62,-0.48,計(jì)算各節(jié)點(diǎn)彎矩：底層,下柱,右梁,上柱,上柱,右梁,左梁,下柱,下柱,上柱,左梁,-17.81,17.81,-8.89,8.89,6.20,3.31,-3.15,8.30,-0.79,-6.30,4.15,-1.22,-3.06,-1.55,-4.10,-1.53,-2.05,0.53,0.29,0.71,6.73,3.60,-10.33,0.36,0.19,1.45,0.73,-0.60,1.99,-0.13,-0.34,

4、18.92,-0.17,-0.46,-1.35,-1.72,-15.85,-0.86,3.37,-0.70,-1.80,0.41,-1.39,-0.20,-0.45,1.20,A,B,C,E,F,G,H,I,6.73,3.37,4.77,15.05,0.77,10.33,18.92,15.85,1.99,13.62,1.72,0.86,0.70,1.39,5.97,5.19,1.83,1.88,0.97,0.86,D,彎矩圖,梁端剪力的計(jì)算,梁跨中彎矩的計(jì)算,柱軸力的計(jì)算,柱剪力的計(jì)算,豎向荷載作用下 彎矩二次分配法 計(jì)算步驟 (1) 計(jì)算各節(jié)點(diǎn)彎矩分配系數(shù)； (2) 計(jì)算框架梁的固端彎矩；

5、(3) 計(jì)算各節(jié)點(diǎn)不平衡彎矩，并對所有節(jié)點(diǎn)的不平衡彎矩同時(shí)進(jìn)行第一次分配（其間不進(jìn)行彎矩傳遞)； (4)將所有桿端的分配彎矩同時(shí)向其遠(yuǎn)端傳遞（對于剛接框架，傳遞系數(shù)均取1/2）; (5)將各節(jié)點(diǎn)因傳遞彎矩而產(chǎn)生的新的不平衡彎矩進(jìn)行第二次分配，使各節(jié)點(diǎn)處于平衡狀態(tài); (6) 將各桿端的固端彎矩、分配彎矩和傳遞彎矩疊加，即得各桿端彎矩。,計(jì)算例題,右圖括號中為梁、柱線剛度的相對值,豎向荷載作用下 彎矩二次分配法,計(jì)算節(jié)點(diǎn)彎矩分配系數(shù),節(jié)點(diǎn) G：,節(jié)點(diǎn) I：,節(jié)點(diǎn) H：,節(jié)點(diǎn) D：,節(jié)點(diǎn) E：,節(jié)點(diǎn) F：,計(jì)算框架梁固端彎矩,上柱,下柱,右梁,左梁,下柱,右梁,左梁,下柱,上柱,上柱,梁端不平衡彎矩

6、及其分配,-17.81,17.81,-8.89,8.89,-13.13,-7.32,13.13,7.32,4.67,8.46,6.07,3.60,8.14,-2.01,-1.11,-2.69,-6.23,-1.09,-2.71,-1.20,-1.38,-3.63,-1.78,-6.24,-0.87,4.23,2.34,-1.01,-0.56,-1.35,-3.12,-0.55,1.80,3.04,4.07,-1.36,-0.60,-0.69,-1.82,-3.12,-0.89,-0.44,-0.28,-0.51,-0.18,-0.10,-0.23,1.52,0.27,-0.33,-0.20,-0.45,-0.12,-0.05,-0.06,-0.16,0.47,1.67,0.23,6.19,-6.19,15.17,-1.81,-13.36,1.26,-1.26,5.74,5.74,-11.48,19.05,-1.81,-1.44,15.80,-1.31,2.50,-1.19,A,B,C,D,E,F,I,H,G,A,B,C,E,F,G,H,I,5.74,3.04,6.19,15.17,1.26,