??1?3.6?2.5?6.6P2=??3.6?1.8? ??2??1.1?2??3.3?4.095?7.2?2.52??4.28??3.6?0.65?222??????7.2?0.55??193.80kNM1?Pe11?154.08?M2?P2e2?193.8?0.55?0.24?23.88kNm, 20.55?0.24?30.04kNm。 2'2~6层,q1=16.721kN/m,q1'=3.150kN/m,q2=11.88kN/m,q2=7.26kN/m,
??1?3?6.6?6.6P1=??3.6?1.8? ??2??1.8??3.3?4.095?7.2?2.52??4.44222????????7.2?0.6???3.6?0.65??0.9?0.9?2.4?1.8???0.4??0.9?0.9?2.4?1.8??153.51kN??1?3.6?2.5?6.6P2=??3.6?1.8? ??2??1.1?2??3.3?4.095?7.2?2.52??4.28222??????3.6?0.65???7.2?0.6??193.17kN
M1?Pe11?153.51?0.6?0.24?27.63kNm, 2M2?P2e2?193.17?0.6?0.24?34.77kNm。 2'1层,q1=16.721kN/m,q1'=3.150kN/m,q2=11.88kN/m,q2=7.26kN/m,
??1?3?6.6?6.6P1=??3.6?1.8? ??2??1.8??3.3?4.095?7.2?2.52??4.44222????????7.2?0.6???3.9?0.65??0.9?0.9?2.4?1.8???0.4??0.9?0.9?2.4?1.8??162.21kN??1?3.6?2.5?6.6P2=??3.6?1.8? ??2??1.1?2??3.3?4.095?7.2?2.52?2?22????4.28??3.9?0.65???7.2?0.7??200.25kN
M1?Pe11?162.21?0.7?0.24?37.31kNm, 20.7?0.24?46.06kNm。 2M2?P2e2?200.25?
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2)活荷载计算
活荷载作用下各层框架梁上的荷载分布如下图所示:
'对于第8层,q2=3.6×2=7.2kN/m,q2=2.4×2=4.8kN/m,
??1?3?6.6?P1=??3.6?1.8? ??2??1.8??2?23.76kN2?2???
??1?3?6.6?3.6?2.5??P2=??3.6?1.8? ??2??1.8???1.1?2???2?37.18kN,
2?22?????M1?Pe11?23.76?0.55?0.24?3.68kNm,
20.55?0.24?5.76kNm。
2M2?P2e2?37.18?'同理,在屋面雪荷载作用下,q2=3.6×2=7.2kN/m,q2=2.4×2=4.8kN/m,
??1?3?6.6?P1=??3.6?1.8? ??2??1.8??1.08?12.83kN2?2???
??1?3?6.6?3.6?2.5??P2=??3.6?1.8? ??2??1.8???1.1?2???1.08?20.077kN,
2?22?????M1?Pe11?12.83?0.55?0.24?1.989kNm,
20.55?0.24?3.112kNm。
2M2?P2e2?20.077?'7层,q2=7.2kN/m,q2=4.8kN/m,
P1?23.76kN,P2?37.18kN,M1?1.989kNm,M2?3.112kNm。
'2~6层,q2=7.2kN/m,q2=4.8kN/m,
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P1?23.76kN,P2?37.18kN,
M1?23.76?0.6?0.24?4.277kNm,M2?37.18?0.18?6.692kNm。 2'1层,q2=7.2kN/m,q2=4.8kN/m,
P1?23.76kN,P2?37.18kN,
M1?23.76?0.7?0.24?5.465kNm,M2?37.18?0.23?8.551kNm。 2将以上计算结果汇总得以下两表:
表20 横向框架恒载汇总表 q1 q1' 3.15 3.15 3.15 3.15 q2 ' q2P1 /kN P2 /kN M1 /kN·m M2 /kN·m 层 次 /( kN/m) /( kN/m) /( kN/m) /( kN/m) 8 7 2~6 1
表21 横向框架活载汇总表 层次 8 ' q24.095 16.721 16.721 16.721 22.176 13.552 169.30 172.27 26.24 11.88 11.88 11.88 7.26 7.26 7.26 154.08 193.80 23.88 153.51 193.17 27.63 162.21 200.25 37.31 26.70 30.04 34.77 46.06 q2 /( kN/m) 7.2 (1.08) P1 /kN P2 /kN M1 /kN·m M2 /kN·m /( kN/m) 4.8 23.76 37.18 3.68 5.76 (0.72) (12.83) (20.077) (1.989) (3.112) 4.8 4.8 4.8 23.76 23.76 23.76 37.18 37.18 37.18 1.989 4.277 5.465 3.112 6.692 8.551 7 2~6 1 7.2 7.2 7.2 注:表中括号内数值对应于屋面雪荷载作用情况。
7.1.3 内力计算
梁端、柱端弯矩采用二次分配法计算。。 1)
固端弯矩计算
将框架梁视为两端固定梁计算固端弯矩,计算过程如下: 恒载:
8层:
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q2l2q1l223MED??1?2??????1212 23222.176?6.62??1.8??1.8??4.095?6.6???1?2???????126.66.612????????=-84.90kN·m,
MDC'25q2lq1'l25?13.552?2.223.15?2.22????????4.69kN·m,
961296121~7层:MED=-98.22 kN·m,MDC=-3.10kN·m; 活载: 1~8层:
MEDq2l27.2?6.6223???1?2??????121223??1.8??1.8?? ?1?2????????22.74kN·m,
6.66.6????????MDC'25q2l5?4.8?2.22??????1.21kN·m;
9696雪载:
MEDq2l21.08?6.6223???1?2??????121223??1.8??1.8??m, ?1?2????????3.416kN·
6.66.6????????MDC'25q2l5?0.72?2.22??????0.182kN·m
9696
2)
分配系数计算
由于结构和荷载基本对称,在此可按对称计算,计算时可用半框架,半框架的梁柱线刚度见上图。切断的横梁线刚度为原来的一倍,分配系数按与节点连接的各杆的转动刚度比值计算,远端固定SAB =4i,远端定向支承SAB =i.
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8层:?E下柱=(4×6.68)/(4×6.68+4×5.244)=0.56,
?E右梁=(4×5.244)/(4×6.68+4×5.244)=0.44; ?D左梁=(4×5.244)/(4×5.244+4×6.68+14.32)=0.338,
?D上柱=0,
?D下柱=(4×6.68)/(4×5.244+4×6.68+14.32)=0.431, ?D右梁=14.32/(4×5.244+4×6.68+14.32)=0.231.
其他层的分配系数见弯矩分配图。 3)
传递系数C
远端固定,C=1/2,远端定向支承,C=-1
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