梁开洞计算(矩形洞口)

邊緣截面較大剪力值钢筋合力点至受拉(受压)区边缘距(KN)剪力值V(KN)彎矩M(KN*m)b(mm)h(mm)as(mm)13010590.525060040孔洞高度孔洞長度洞口至樑端距離洞口偏心距受壓區高度受拉區高度(mm)(mm)s2(mm)(mm)(mm)(mm)18046010000210210注：洞口偏心距若上偏請填入負數其他資料項目類型：地震區洞口位置：跨中L/3區域混凝土等級：C30fc(N/mm²)=14.3ft(N/mm²)=1.43箍筋等級：HPB300fyv(N/mm²)=270縱筋等級：HRB400fyd(N/mm²)=3600.5176傾斜鋼筋角度α：45受壓弦杆配筋信息：As1=As2計算過程：1)驗算相關條件：0.300.4滿足0.771.6滿足0.350.3滿足2.564滿足-樑開矩形孔洞設計孔洞中心計算信息樑截面孔洞信息1Vhhhl0ehchthhh/hlh/hhc/hhhl/hs/2b2)计算孔洞兩側的垂直箍筋和傾斜鋼筋Av、Ad:260.00mm²388.12mm²直徑(mm)箍肢數單根面積(mm²)根數直徑(mm)單根面積(mm²)根數8250.3316201.123)计算受壓弦杆和受拉弦杆的箍筋Vc=βv=0.9V=94.5kNVt=1.2V-Vc=31.5kN170mm170mm225.97kNVc=94.5kN151.94kN滿足Vt=31.5kN151.94kN滿足由於As1=As2,λc=0.5lh/h0c=1.35故λc取1.352.03故λt取2.030.3bhcfc=225.225kNNc=225.97kN故取Nc=225.23kN730.56mm²/m直徑(mm)箍肢數截面積(mm²)間距sc(mm)8250.3502012906.00mm²/m由反算Vt值：41.59kN21.88kN41.59kN滿足由於Vt=31.50kN41.59kN故取Vt=41.59kN1125.74mm²/m直徑(mm)箍肢數截面積(mm²)間距st(mm)8250.35020124)计算孔洞受壓弦杆縱向鋼筋21735kN*mm96.19mm滿足滿足AvAd實際mm²/m實際mm²/myvVfVA/54.01sin76.01yddfVAtSVCSVAA、scahch0stahth0thctchhhMNN55.05.0ccfbh025.0ctfbh025.0ththl0/75.0cyvctcCCCCSVhfNfbhVsA001)07.00.175.1(/CSVACCSVsA/tyvttttttSVhfNfbhtVsA001)2.00.175.1(/tSVAtttSVyvshAf/0ttbhf036.0tttSVyvshAf/0tyvttttttSVhfNfbhtVsA001)2.00.175.1(/tSVAttSVsA/2SA2/hcclVMcccNMe/0ae取ea=20mm和hc/30的較大值，故20mm181.19mm0.3720.5176爲大偏心受壓0.345由於爲：大偏心受壓故ξ取0.372206.61mm²检查配筋是否满足构造要求0.45*ft/fy=0.179%0.20%105.0mm²206.61mm²故取：206.61mm²直徑(mm)單根面積(mm²)根數12113.12226.25)計算孔洞受拉弦杆纵向钢筋3622.50kN*mm10867.5kN*mm由得：16.0mm70.5mm340.5mm²由得：48.1mm6.4mm0爲小偏心受拉123.6mm596.8mm²小偏心受拉時縱向鋼筋取值：直徑(mm)單根面積(mm²)根數直徑(mm)單根面積(mm²)根數14153.9318254.53當值小於不開樑洞的縱向受拉鋼筋截面面積As值時，設計應取As值-mm爲使設計鋼筋總量最小，取x=xb,即當爲小偏心受壓時，當爲小偏心受拉時，請查閱以下計算：總截面積mm²滿足當爲大偏心受拉時，請查閱以下計算：cccNMe/0aeashceeeac5.00cccbhfN0bbcccbcccccbcbhfahbhfeNbhfN00200)')(8.0(43.0)'()5.01(0'202ahfbhfeNAcycccs2SA43SSAA、ccSbhhhcA00minmin22SAhttlVM25.01httlVM75.02ttNMe/100'45.0'eahet)'('3aahfeNAtytS1tM2tMttNMe/200'55.0'eahet)'('4aahfeNAtytS43SSAA、3SA4SA045.0eahtaheet45.00bthx04SA-mm2a'=-mm-mm²检查配筋是否满足构造要求0.45*ft/fy=0.179%0.20%-mm²-mm²故取：-mm²-mm²检查配筋是否满足构造要求0.45*ft/fy=0.179%0.20%-mm²-mm²故取：-mm²大偏心受拉時縱向鋼筋取值：直徑(mm)單根面積(mm²)根數直徑(mm)單根面積(mm²)根數16201.1-25490.9-當值小於不開樑洞的縱向受拉鋼筋截面面積As值時，設計應取As值bthx0)'()5.0(0'03ahfxhbxfeNAtytctStttSbhhhA00minmin33SAycSytSfbxfAfNA3'4tttSbhhhA00minmin44SA43SSAA、3SA4SA4SA項目類型洞口位置地震區跨中L/3區域非地震區樑端L/3區域混凝土等級軸心抗壓fc軸心抗拉ft鋼筋等級鋼筋強度fyvC157.20.91HPB235210C209.61.1HPB300270C2511.91.27HRB335300C3014.31.43HRB400360C3516.71.57HRB500435C4019.11.71A235204C4521.11.8A335291C5023.11.89A400348C5525.31.96A500435C6027.52.04B1580.73B2010.70.87B2513.31B30161.2B3518.71.33B4021.31.4B45241.53B5026.71.67B55301.8B6033.31.93ξb鋼筋直徑截面積0.614628.30.576850.30.551078.50.517612113.10.48214153.90.61416201.10.5518254.50.517620314.20.48222380.125490.928615.332804.3361017.9401256.1