3.5.截面设计
3.5.1框架梁 (以4层AB跨梁为例,说明计算过程) 3.5.1.1梁的正截面受弯承载力计算
从梁的内力组合表中选出AB跨跨间截面及支座截面的最不利内力(支座截面的内力为支座边缘控制截面的内力) 支座边缘处:MA=57.42KN.m
MB=157.58 KN.m
跨内弯矩:M=255.69KN.m
跨内截面梁下部受拉,可将T形截面进行配筋计算,支座边缘截面梁上部受拉,可按矩形截面计算。 翼缘的计算宽度:
①按梁的计算跨度lo考虑:bf’= l/3=8475/3=2825mm ②按梁(纵肋)净距考虑:bf’=b+Sn=350+3787.5=4137.5mm ③按翼缘高度考虑:ho=h-as=750-35=715mm
因为hf’/ho=140/715=0.20>0.1 此种情况下不起控制作用。所以取bf’=2825mm。 梁内纵向钢筋选用HRB400(fy =f y’=360N/mm2) ξb =0.518 下部跨间截面按单筋T形截面计算,因为: α1fchf’ bf’(ho- hf’/2)=1.0×14.3×140×2825×(715-140/2) =3647.9KN.M>255.69KNM 属于一类T形截面
M255.69?106?s???0.0124'22?1fcbfh01.0?14.3?2825?715??1?1?2?s?0.0125??b0.518,满足?s?1?1?2?s2Mfy?s
?0.9938As?h0255.69?106??999.6mm2360?0.9938?515实配2Ф18+ 2Ф20(As=1137.4 mm2 > As min =525mm2)
将下部跨间截面的钢筋全部伸入支座。则支座截面可按已知受压钢筋的双筋截面计算受拉钢筋,因本工程梁端弯矩较小,简化计算,仍可按单筋矩形截面设计。
A支座截面:
M57.43?106?s???0.0224'22?1fcbfh01.0?14.3?350?715??1?1?2?s?0.0227??b0.518,满足?s?1?1?2?s2M
?0.98957.43?106As???225.60mm2fy?sh0360?0.989?715实配:220+110 (As=741.1mm2> As min=525 mm2)满足要求。 B支座截面:
M157.575?106?s???0.0616'22?1fcbfh01.0?14.3?350?715??1?1?2?s?0.0636??b?0.518,满足?s?1?1?2?s2M
?0.9682157.575?106As???632.3mm2fy?sh0360?0.9682?715实配320 (As=942.6 mm2 > As min=525mm2)满足要求。 其他层的配筋计算结果见下表
表3.8配筋计算结果见下表
· 截面 M/KNm 支座A AB跨内 支座B左 支座B右 BC跨内 支座C左 b或bf/mm ho/mm as § rs As/mm2 实配钢筋 实配As 配筋率 57.428 350 255.688 2825 157.575 350 102.295 350 99.379 2825 102.295 350 715 0.0224 0.0227 0.9886 225.7 715 0.0124 0.0125 0.9938 999.6 715 0.0616 0.0636 0.9682 632.3 365 0.1534 0.1674 0.9163 849.6 365 0.0185 0.0186 0.9907 763.4 365 0.1534 0.1674 0.9163 849.6 2Ф18+ 734.8 0.0029 2Ф12 2Ф18+ 1137.4 0.0045 2Ф20 2Ф16+ 2Ф18 2Ф16+ 2Ф18 2Ф16+ 2Ф18 2Ф16+ 2Ф18 910.6 0.0036 910.6 0.0071 910.6 0.0071 910.6 0.0071 4
支座C右 CD跨内 支座D左 支座A AB跨内 支座B左 支座B右 3 BC跨内 支座C左 支座C右 CD跨内 支座D左 支座A AB跨内 支座B左 支座B右 2 BC跨内 支座C左 支座C右 CD跨内 支座D左 1
157.575 350 255.688 2825 57.428 350 144.582 350 310.681 2825 250.651 350 104.002 350 97.964 2825 104.002 350 250.651 350 310.681 2825 144.582 350 162.397 350 286.472 2825 273.208 350 113.041 350 101.835 2825 113.041 350 273.208 350 286.472 2825 162.397 350 156.173 350 715 0.0616 0.0636 0.9682 632.3 715 0.0124 0.0125 0.9938 999.6 715 0.0224 0.0227 0.9886 225.7 2Ф16+ 2Ф18 910.6 0.0036 2Ф18+ 1137.4 0.0045 2Ф20 2Ф18+ 734.8 0.0029 2Ф12 760.2 0.0030 715 0.0565 0.0582 0.9709 578.5 2Ф22 715 0.0150 0.0152 0.9924 1216.2 715 0.0980 0.1033 0.9484 1026.8 365 0.1560 0.1705 0.9147 865.3 365 0.0182 0.0184 0.9908 752.4 365 0.1560 0.1705 0.9147 865.3 715 0.0980 0.1033 0.9484 1026.8 715 0.0150 0.0152 0.9924 1216.2 2Ф20+ 1388.6 0.0055 2Ф22 2Ф20+ 1388.6 0.0055 2Ф22 2Ф20+ 1388.6 0.0109 2Ф22 2Ф16+ 2Ф18 910.6 0.0071 2Ф20+ 1388.6 0.0109 2Ф22 2Ф20+ 1388.6 0.0055 2Ф22 2Ф20+ 1388.6 0.0055 2Ф22 715 0.0565 0.0582 0.9709 578.5 2Ф22 760.2 0.0030 715 0.0635 0.0656 0.9672 652.3 2Ф22 715 0.0139 0.0140 0.9930 1120.8 715 0.1068 0.1132 0.9434 1125.1 365 0.1695 0.1870 0.9065 949.0 365 0.0189 0.0191 0.9904 782.5 365 0.1695 0.1870 0.9065 949.0 715 0.1068 0.1132 0.9434 1125.1 715 0.0139 0.0140 0.9930 1120.8 760.2 0.0030 2Ф20+ 1388.6 0.0055 2Ф22 2Ф20+ 1388.6 0.0055 2Ф22 2Ф20+ 1388.6 0.0109 2Ф22 2Ф16+ 2Ф18 910.6 0.0071 2Ф20+ 1388.6 0.0109 2Ф22 2Ф20+ 1388.6 0.0055 2Ф22 2Ф20+ 1388.6 0.0055 2Ф22 760.2 0.0030 760.2 0.0030 715 0.0635 0.0656 0.9672 652.3 2Ф22 715 0.0610 0.0630 0.9685 626.5 2Ф22 支座A AB跨内 支座B左 支座B右 BC跨内 支座C左 支座C右 CD跨内 支座D左 308.289 2825 269.448 350 125.648 350 106.435 2825 125.648 350 269.448 350 308.289 2825 156.173 350 715 0.0149 0.0150 0.9925 1206.8 715 0.1053 0.1115 0.9442 1108.6 365 0.1884 0.2106 0.8947 1068.8 365 0.0198 0.0200 0.9900 818.2 365 0.1884 0.2106 0.8947 1068.8 715 0.1053 0.1115 0.9442 1108.6 715 0.0149 0.0150 0.9925 1206.8 2Ф20+ 1388.6 0.0055 2Ф22 2Ф20+ 1388.6 0.0055 2Ф22 2Ф20+ 1388.6 0.0109 2Ф22 2Ф16+ 2Ф18 910.6 0.0071 2Ф20+ 1388.6 0.0109 2Ф22 2Ф20+ 1388.6 0.0055 2Ф22 2Ф20+ 1388.6 0.0055 2Ф22 760.2 0.0030 715 0.0610 0.0630 0.9685 626.5 2Ф22 3.5.1.2梁斜截面受剪受弯承载力计算:
箍筋采用HPB235级钢筋,AB跨:V=127.323KN 由
hw715?140??1.64?4属厚腹梁 b350fyv?210N/m2
0.25?fcbh0?0.25?1.0?14.3?350?715?894.64kN﹥V 截面尺寸满足要求。
AsvV?0.7ftbh0127.323?103?0.7?1.43?350?715???0 s1.25fyvh01.25?210?715按构造要求配筋,取双肢筋 φ8@200,则?sv?2?78.5?0.224%﹥
350?200?svmin?0.24ft1.43?0.24??0.163%,满足要求。 fyv210
其他层梁的斜截面受剪承载力配筋计算结果见下表