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1、柱截面设计(ZJM-I)期核项目名称构件编号日设计校对审执行规范:混凝土结构设计规范(GB50010-2010),本文简称混凝土规范建筑抗震设计规范(GB50011-2010),本文简称抗震规范钢筋:d-HPB300;D-HRB335;E-HRB400;F-RRB400;G-HRB500;P-HRBF335;Q-HRBF400;R-HRBF5001己知条件及计算要求:(1)己知条件:矩形柱b=550mm,h=550nm计算长度L=LOom碎强度等级C30,fc=14.30Nrnft=l.43Nmm,纵筋级别HRB400,fy=360Nmmfy,=360Nmm2箍筋级别HRB400,fy=360
2、Nmm2轴力设计值N=100.OOkN弯矩设计值Mx=50.OOkN.m.My=50.OOkN.m剪力设计值Vy=20.OOkN,Vx=20.OOkN(幻计算要求,1 .正截面受压承载力计算2 .斜截面承载力计算3 .裂缝计算内力设计管筒图2受压计算2. 1轴压比A=bh=55O55O=302500mm22. 2受压计算双向偏心受压采用混凝土规范式6.2.21-3验算:(NUX及NUy计算时,只考虑弯矩作用方向的对边纵筋,忽略侧边纵筋)经试算,取每侧全部纵筋面积:A-605mmA二605InnT,四根角筋总面积近似按1018mf代入公式验算如下:31N=100.0010nA=0.0020X30
3、2500=605mm,Asr=605mm全截面:As=2XA,+2XA-4XAsj=1402mm,iWPiImXA=O.0055X302500=166411/(A,为一根角筋的面积),取A,=1664mm将纵筋按边长分配可得:A=x=416mm;AsyM16mm2验算一边最小配筋:AN=605mm1,i11A=0.0020302500=605mm,取A*605m此时:A=227PninA=0.0020302500=605三Ahy=605mm验算边最小胃己筋:sy=605mm2PninX=0.0020302500-605mm2,取A、二605m?此时:Asx=227mm2 3. 0,取入产3.
4、0(1)截面验算,根据混凝土规范式6.3.1:hb=O. 9 4,受剪截面系数取0.25V=20.00kN 0.25“ JC方a。= 0.251.0014.3x550x515 = IOI262kN 截面尺寸满足要求。配筋计算根据混凝土规范式6. 3. 12:1.75AV-JVX4 + 1乙 Bg -(Io7N20000-f yv - 0L753 1.43x550x515 -0.07l00.103.00 + 1(-0.886 jnm mm36O.O515箍筋最小配筋率:040%由于箍筋不加密,故Pvt11=0.4%XO.5=0.2%计算箍筋构造配筋A,*/s:4 svminminhh0.0020
5、x5505502=r,.=,、=0.605mm力IwlS6-2(S-IO)+力-2($-10)550-2(35-10)+550-2(35-10)Asi,X0.886Aa而0.605=-0.161%3.0,取A尸3.0(1)截面验算,根据混凝土规范式6.3.1:hb=O.94,受剪截面系数取0.25Vy=20.0Ojw-2(as-IO)+-2(j-10)550-2x(35-10)+550-2x(35-10)ASVy0.886AsW”加0.605=-0.161%=0.110%bs550bs550故箍筋配筋量:As,s=O.605mm7三3. 3Xy双向受剪计算(1)截面验算,根据混凝土规范式6.3
6、.16:计算剪力V的作用方向与X轴的夹角0:/VF/200fi0=artan=atanI=0.785VxI20000/V=20.JlN0.25CJjmOCOs(夕)=0.251.014.355O5150.707=716.03kNX向截面尺寸满足要求。%,=20.00JtNAs=605mm2,配筋满足。(2)下部纵筋:3E18(763nWP=0.25%)As=605mm配筋满足。(3)左右纵筋:lE12(113mmP=0.04%)全侧配筋As=622mfiAs=605mm配筋满足。竖向箍筋:E8200三肢箍(754mmp5r=0.14%)Asvs=605mm7m,配筋满足。(5)水平箍筋:E82
7、00三肢筋(754mmmPs,=0.14%)Asvs=605mm,配筋满足。5裂缝计算5.1左右侧裂缝计算(1)根据混凝土规范第7.1.2注3),偏压计算时eh=(0/150)/0.515=0.OQC=0.55,不需要验算裂缝.5.2上下侧裂缝计算(1)截面有效高度:力0=人一$=550-35=515mm(2)受拉钢筋应力计算,根据混凝土规范式7.L4-4:Mk80.00n=0.533,=533.3mmUNL15000取Q产LOh550Vc=-=-35=240S2*2e=ffse0+y$=l.OOOO533+240=773V=0Z=0.87-O.I2(1-Jf)(A)o=0.87-0.12x(
8、I-0.00)x(;)515=420yv*(e)150000.0(773-421)2,*=164.74657mmASZ763421(3)按有效受拉混凝土截面面积计算的纵向受拉钢筋配筋率,根据混凝上规范式7.1.2-4;2A%=G5bh=0.5550550=151250mmas+ap763+0=0.0050Are151250Pu=0.00500.01,取P=0.01(4)裂缝间纵向受拉钢筋应变不均匀系数,根据混凝土规范式7.1.2-2:065ftk0.652.01=1.1-=一=0.3070ptens0.01X164.7465受拉区纵向钢筋的等效直径九:=18mwI%根据混凝土规范表7.1.27
9、构件受力特征系数tr=1.9:(5)最大裂缝宽度计算,根据混凝土规范式7.1.2-1:3=)max=。cr口IL9j+0.08:3e/164.75/18.0=1.90.3070X1.925+0.08=0.092帆帆2000(X)0.0100/5.3裂缝计算结果Wls=max0.000,0.092=0.092mmWm=0.400mm,满足。605,0.20%605,0.11%600.20%605,0.20%5503E18(7631 0.25%, -254)计算懒面积简图3E18(763, 0125% -254)550E8200(754,0.14%)!E12(11310.04%,+254)配筋简图【理正结构设计工具箱软件7.0计算日期:2023-08,716:34:19