河北联合大学建筑工程学院
A柱内力组合静力组合(SG+100%SQ)层次荷载恒荷载SG活荷载SQ截面内力8四7MNVMNVMNVMNVMNVMNVMNVMNV28.14-238.29-60.77-22.83-267.99-60.7720.49-464.17-65.33-21.01-493.87-65.3322.02-660.24-65.22-27.02-689.94-65.2213.42-885.77-65.38-6.71-885.77-65.38
表3-22横向框架A柱柱端组合弯矩设计值的调整 层次 截面 γRE地震组合(SE+SG')MENEVE-110.6231.1247.8947.4031.1247.89-153.2992.7684.46125.4292.7684.46-201.08187.00110.79164.52187.00110.79-146.52283.54148.00341.88283.54148.00MG'NG'VG'31.87-246.58-65.55-26.99-276.28-65.5524.63-497.19-76.02-26.26-526.89-76.0226.14-717.99-75.92-31.85-747.69-75.9215.92-968.23-76.07-7.96-968.23-76.07内力组合取值M=1.2MG+1.4MQN*=1.2NG+1.4NQ*γRE(1.3ME+1.2MG')γRE(-1.3ME+1.2MG')γRE(1.3NE+1.2NG')γRE(-1.3NE+1.2NG')|M|max与相应的N、V|N|max与相应的M|N|min与相应的MγRE(1.3VE+1.2VG')γRE(-1.3VE+1.2VG')6三54二32一17.4544.20-16.58-309.16-9.56-86.31-8.32-39.04-16.58-344.80-9.56-86.318.2736.17-66.03-649.45-21.37-108.31-10.50-39.91-66.03-685.09-21.37-108.318.2437.96-115.50-953.99-21.39-108.21-9.66-45.95-115.50-989.63-21.39-108.215.0023.10-164.91-1293.80-21.38-108.39-2.50-11.55-164.91-1293.80-21.38-108.39-84.45-204.35-13.1223.39-232.86-13.12-135.78-380.8314.86105.23-409.3414.86-184.03-494.7942.34140.52-523.3042.34-137.10-634.6180.89347.91-634.6180.89145.64-269.08-112.73-75.21-297.59-112.73183.06-573.77-160.81-155.65-602.28-160.81234.22-883.75-188.10-201.68-912.26-188.10167.66-1224.38-226.95-363.20-1224.38-226.95145.64-269.08-112.7375.21-297.59-112.73183.06-573.77-160.81155.65-602.28-160.81234.22-883.75-188.10201.68-912.26-188.10167.66-1224.38-226.95363.20-1224.38-226.9544.20309.16-39.04344.8036.17649.45-39.91685.0937.96953.99-45.95989.6323.101293.80-11.551293.801.07204.3523.39232.86-135.78380.83105.23409.34-184.03494.79140.52523.30-137.10634.61347.91634.61 4 3 2 柱底 柱顶 1 柱底 柱顶 柱底 柱顶 柱底 柱顶 (ΣMc=ηcΣ--- --- 164.75 139.73 210.8 181.51 150.89 326.88 Mb) γ
REN 602.29 883.75 912.25 1224.38 1224.4 --- --- 573.77 -- 30 --
第3章 结构设计说明
表3-23横向框架A柱剪力组合与调整(KN)
V=γ层次 Re[ηvc(M c +M lcb)/hn ] 4 3 2 1 58.26 121.49 139.93 159.56 表3-24横向框架B柱弯矩和轴力组合
B柱内力组合荷载层次截面内力静力组合恒荷载SG活荷载SQM*=1.2MG+1.4MQN*=1.2NG+1.4NQMENEVEMG'NG'VG'地震组合内力组合取值γRE(1.3ME+1.2MG')γRE(-1.3ME+1.2MG')γRE(1.3NE+1.2NG')γRE(-1.3NE+1.2NG')|M|max与相应的N、V|N|max与相应的M|N|min与相应的MγRE(1.3VE+1.2VG')γRE(-1.3VE+1.2VG')M-16.04-4.68-25.80-186.15-18.38-211.248N-275.74-20.04-358.9461.05-285.76-210.84V62.959.8889.3789.5467.89158.30四M14.274.6223.59109.3316.58129.627N-305.44-20.04-394.5861.05-315.46-239.35V62.059.8888.2989.5466.99157.43M-14.54-4.94-24.36-276.18-17.01-303.566N-519.33-84.72-741.80116.83-561.69-417.72V65.9521.83109.70157.9176.87238.02三M14.024.7523.47244.9216.40270.465N-549.03-84.72-777.44116.83-591.39-446.23V65.9521.83109.70157.9176.87238.02M-15.04-5.09-25.17-339.60-17.59-370.074N-763.03-149.00-1124.24310.58-837.53-481.03V66.0621.81109.81205.8876.97288.00二M18.226.2330.59339.6021.34373.673N-792.73-149.00-1159.88310.58-867.23-509.54V66.0621.81109.81205.8876.97288.00M-9.44-3.26-15.89-316.44-11.07-339.722N-1006.57-213.30-1506.50537.26-1113.22-509.94V66.9021.82110.83198.4277.81281.05一M4.721.637.95562.565.54590.381N-104.79-213.30-424.37537.26-211.44355.77V66.9021.82110.83198.4277.81281.05注:1.γRE承载力抗震调整系数,此处取0.85; 2.SG'为重力荷载代表值作用下结构产生的内力,其中已进行梁端弯矩调幅;SG'=SG+50%SQ;
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175.95-337.82-27.95-97.79-366.33-28.81270.90-660.73-90.44-238.98-689.24-90.44336.30-1127.03-140.23-332.70-1155.54-140.23318.47-1627.44-131.66-579.75-761.73-131.66211.24-210.84158.30129.62-239.35157.43303.56-417.72238.02270.46-446.23238.02370.07-481.03288.00373.67-509.54288.00339.72-509.94281.05590.38355.77281.05-25.80358.9423.59394.58-24.35741.8023.47777.44336.301127.03332.701159.88318.471627.44579.75761.73-111.56210.84111.51239.35-143.33417.72270.46446.23-370.07481.03373.67509.54-339.72509.94590.38355.77 河北联合大学建筑工程学院
表3-25 横向框架B柱柱端组合弯矩设计值的调整
层次 截面 γRE4 柱顶 柱底 柱顶 3 柱底 329.37 柱顶 2 柱底 柱顶 1 柱底 (ΣMc= --- --- 305.8 338.9 441.09 306.6 672.46 ηcΣMb) γ
表3-26 横向框架B柱剪力组合与调整(KN)
V=γReREN --- --- 593.44 621.95 901.66 927.9 1301.95 609.38 [ηvc层次 (M c + bM c)/hn ] l4 3 2 1 158.79 210.19 230.87 212.24
3.10截面设计
3.10.1梁正截面强度设计
梁的正截面受弯承载力设计
抗震设计中,对于楼面现浇的框架结构,梁支座负弯矩按矩形截面计算纵筋数量。跨中正弯矩按T形截面计算纵筋数量,跨中截面的计算弯矩,应取该跨的跨间最大正弯矩或支座弯矩与1/2简支梁弯矩之中的较大者,依据上述理论,得: 支座弯矩:MA=476.52-179.23(0.6-0.6/2)=422.76 KN2m rRE MA=0.753422.76 =317.07KN2m MB=423.04-179.8730.3=287.89 KN2m
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第3章 结构设计说明 rRE MB=0.753287.89=369.1 KN2m
跨间弯矩取控制截面,即支座边缘处的正弯矩,可求得相应剪力: V=1.3396.54-(65.38+0.5321.38)=49.43KN 则支座边缘处Mmax=344.21-49.4330.3=329.38 KN2m rREMmax=0.753329.38=247.03 KN2m
当梁下部受拉时,按T形截面设计,当梁上部受拉时,按矩形截面设计, 翼缘计算宽度bf,按跨度考虑,取bf,=l/3=6.0/3=2.0m=2000mm,
梁内纵向钢筋选HRB400级热扎钢筋,(fy=fy,=360N/mm2),h0=h-a=600-35= 565mm,因为
,
,
,
=1733.16KN2m>247.03 KN2m
a1fcm bfhf( h0- hf/2)=1.0314.33200031203(565-120/2) 属第一类T形截面。
下部跨间截面按单筋T形截面计算:
as=M/(a1fcmbf,h02)=247.033106/(1.0314.33200035652)=0.027 ξ=1-1?2a=0.027
As=ξfcmbf,h0/fy=0.027314.7320003565/360=1245.8 mm2 实配钢筋4?20,As=1256 mm2。 ρ=1256/(3003565)=0.74%>ρ梁端截面受压区相对高度:
ξ=fyAs/(fcmbf,h0)=36031256/(14.3320003565)<0.35,符合二级抗震设计要求。
考虑两支座处:
将下部跨间截面的4?20钢筋伸入支座,作为支座负弯矩作用下的受压钢筋, As,=1256mm2,再计算相应的受拉钢筋As,即支座A上部, as=[M- fy, As,(h0-a,)]/(fcmbf,h02)
=[317.073106-360312563(565-35) ]/(14.3330035652)=0.056 ξ=1-1?2a=0.058<2a,/h0=0.123 可近似取
As=M/[fy3(h0-a,)]= 317.073106/[3603(565-35)]=1661.79 mm2 实配钢筋3?20+2?22,As=1701 mm2。
min
=0.25%,满足要求。
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河北联合大学建筑工程学院
支座Bl上部:
As=M/fy(h0-a,)=215.923106/[3603(565-35)]=1131.66 mm2 实配钢筋3?20+2?22。
ρ=1701/3003565=1%>ρ
min
=0.3%,又As,/ As =1256/1701=0.74>0.3,
满足梁的抗震构造要求。 梁斜截面受剪承载力计算: 验算截面尺寸:
0.2fcbh0=0.2314.333003565=484.77KN>V=188.5KN,截面符合要求。 箍筋选择及梁斜截面受剪承载力计算:
梁端加密区箍筋取四肢Ф8@100,箍筋HPB235级钢筋,fyv=210N/mm,则 0.42ftbh0+1.25fyvnAsv1h0/s=0.42314.333003565+1.25321034
350.33565/100=399.91KN>192.5KN
加密区长度取1.5hb+50=0.91m,故取1m。
非加密区箍筋取四肢Ф8@150箍筋配置,满足构造要求。
表3-27 其它梁的配筋计算见下表
层次 截面 M(KN2m) ξ As(mm) 509 509 509 763 763 941 1256 ,2计算As(mm) A -127.5 0.014 支座 Bl -85.96 <0 423 449 359 310.3 1256 858 718 840 857 3?18(763) 2?18(509) 3?18(763) 2?18(509) 4?20(1256) 0.67 0.45 0.36 627 3?18(763) 0.67 0.45 2实配As(mm) 2As/As ρ(%) ,4 AB跨间 支座Br BC跨间 86.37 0.01 -60.04 <0 0.67 0.45 0.36 52.19 0.021 A -255.64 <0 支座 Bl -174.46 <0 3 AB跨间 支座Br BC跨间 141.21 0.016 -140.66 <0 139.59 0.058 0.61 0.74 2?20+2?18(1137) 0.75 0.65 3?18(763) 4?20(1017) 3?20(2941) 0.45 0.93 0.65 0.67 1 支座 A -317.07 <0 1622 3?20+2?22(1701) 0.74 0.1 -- 34 --