FMK1人防门框墙计算一、计算条件:1.计算参数:工程名称: 工程一工程项目: 项目一门框墙编号: 门框墙1请选择门框墙类别: 无柱梁式混凝土人防门种类: 单扇人防门门扇与门框墙搭接长度da(mm): 100人防门洞口宽度B(mm): 1200人防门洞口高度H(mm): 2000门框墙厚度t(mm): 300门框侧墙长度a1(mm): 400门框侧墙长度a2(mm): 500人防门槛高度h1(mm): 200门框上挡墙高度h2(mm): 2050门框上挡墙加强梁宽度b1(mm): 2050门框上挡墙加强梁高度b2(mm): 300门框墙等效静荷载qe1(kN/m2): 200柱(梁)式门框时临空墙等效静荷载qe2(kN/m2): 200保护层厚度c(mm): 15门框墙混凝土强度等级: C35门框墙受力筋级别: HRB400柱(梁)式门框箍筋级别: HPB300输出柱(梁)式门框的详细计算过程: 是二、计算依据:《混凝土结构设计规范》GB50010-2010《人民防空地下室设计规范》GB50038-2005《建筑结构静力计算实用手册》浙江大学编写,中国建筑工业出版社出版三、计算结果:(1)荷载导算过程:单个门扇宽度: a = B + 2 × da = 1200 + 2 × 100 = 1400 mm门扇高度: b = H + 2 × da = 2000 + 2 × 100 = 2200 mm门扇宽度度与高度之比: a / b = 0.636,查人防规范表475-2:上下门框反力系数: ga = 0.3664左右门框反力系数: gb = 0.4327门扇传给上下门框的等效静荷载标准值: qa = ga × qe1 × a / 1000 = 0.3664 × 200.0 × 1400 / 1000 = 102.58 kN/m门扇传给左右门框的等效静荷载标准值: qb = gb × qe1 × a / 1000 = 0.4327 × 200.0 × 1400 / 1000 = 121.16 kN/m(2)左侧门框墙的计算过程:左侧门框墙可以按悬臂墙来计算。
L1 = L - da / 3 = 400 - 100 / 3 = 367 mmL2 = L - da = 400 - 100 = 300 mmM = qb × L1 / 1000 + qe1 × L22 / (2 × 106) = 121.16 × 367 / 1000 + 200 × 3002 / (2 × 106) = 53.4 kN.mV = qb + qe1 × L2 = 121.16 + 200 × 300 = 181.2 kN左侧门框墙钢筋计算面积: 453 mm2左侧门框墙配筋 : C8@100左侧门框墙配筋面积 : 503 mm2混凝土轴心受压强度设计值: ft = 1.57 N/mm2混凝土材料综合调整系数: gd = 1.50 调整后的混凝土轴心受压强度设计值: ftd = ft × gd × 0.8 = 1.57 × 1.50 × 0.8 = 1.88 N/mm2截面有效高度: H0 = H - c - 10 = 300 - 15 - 10 = 275 mmbh = 1截面抗剪承载力: R = 0.7 × bh × ftd × H0 = 0.7 × 1.0000 × 1.88 × 275 = 362.67 kNV ≤ R , 斜截面抗剪满足要求。
3)右侧门框墙的计算过程:右侧门框墙可以按悬臂墙来计算L1 = L - da / 3 = 500 - 100 / 3 = 467 mmL2 = L - da = 500 - 100 = 400 mmM = qb × L1 / 1000 + qe1 × L22 / (2 × 106) = 121.16 × 467 / 1000 + 200 × 4002 / (2 × 106) = 72.5 kN.mV = qb + qe1 × L2 = 121.16 + 200 × 400 = 201.2 kN右侧门框墙钢筋计算面积: 618 mm2右侧门框墙配筋 : C10@125右侧门框墙配筋面积 : 628 mm2混凝土轴心受压强度设计值: ft = 1.57 N/mm2混凝土材料综合调整系数: gd = 1.50 调整后的混凝土轴心受压强度设计值: ftd = ft × gd × 0.8 = 1.57 × 1.50 × 0.8 = 1.88 N/mm2截面有效高度: H0 = H - c - 10 = 300 - 15 - 10 = 275 mmbh = 1截面抗剪承载力: R = 0.7 × bh × ftd × H0 = 0.7 × 1.0000 × 1.88 × 275 = 362.67 kNV ≤ R , 斜截面抗剪满足要求。
4)门框上挡墙的计算过程:因为 h2 > H / 2 ,门框上档墙采用梁式门框L1 = b1 - da = 2050 - 100 = 1950 mmL2 = L - b1 = 2050 - 2050 = 0 mm梁式门框跨度: Lb = 2100 mm梁式门框线荷载: q = qa + qe1 × L1 / 1000 + qe2 × Min{L2,Lb} / (2 × 1000) = 102.58 + 200 × 1950 / 1000 + 200 × Min{0,2100} / (2 × 1000) = 492.58 kN/mM = q × Lb2 / (12 × 106) = 492.58 × 21002 / (12 × 106) = 181.0 kN.mV = q × Lb / (2 × 1000) = 492.58 × 2100 / (2 × 1000) = 517.2 kN以下是柱(梁)式门框正截面受弯的详细计算过程:混凝土轴心受压强度设计值: fc = 16.7 N/mm2混凝土轴心受拉强度设计值: ft = 1.57 N/mm2混凝土轴心受压强度标准值: fck = 23.4 N/mm2钢筋抗拉强度设计值: fy = 360 N/mm2钢筋受压强度设计值: fy' = 360 N/mm2钢筋弹性模量: Es = 200000 N/mm2最大配筋率: rmax = 2.4 %混凝土材料强度综合调整系数: rd1 = 1.5钢筋材料强度综合调整系数: rd2 = 1.2调整后的混凝土轴心受压强度设计值: fcd = fc × rd1 = 16.70 × 1.50 = 25.05 N/mm2调整后的混凝土轴心受拉强度设计值: ftd = ft × rd1 = 1.57 × 1.50 = 2.36 N/mm2调整后的混凝土轴心受压强度标准值: fckd = fck × rd1 = 23.40 × 1.50 = 35.10 N/mm2调整后的钢筋抗拉强度设计值: fyd = fy × rd2 = 360 × 1.20 = 432 N/mm2调整后的钢筋受压强度设计值: fyd' = fy' × rd2 = 360 × 1.20 = 432 N/mm2系数: a1 = 1混凝土立方体轴心受压强度标准值: fcuk = 35 N/mm2系数: b1 = 0.8非均匀受压时的混凝土极限压应变: Ecu = 0.0033 - (fcuk - 50) × 10 - 5 = 0.0033 - (35 - 50) × 10 - 5 = 0.0035当Ecu > 0.0033 时,取Ecu = 0.0033。
相对界限受压区高度: xb = b1 / [1 + fy / (Es × Ecu)] = 0.8 / [1 + 432.0 / (200000 × 0.0033)] = 0.4835截面有效高度: H0 = H - c2 - 20 = 300 - 15 - 20 = 265 mmAomax = xb × (1 - 0.5 × xb) = 0.4835 × (1 - 0.5 × 0.4835) = 0.3666Mb = Aomax × a1 × fc × B × H02 = 0.3666 × 1.0 × 25.05 × 2050 × 2652 = 1322124000.00 N.mM < Mb , 按单筋矩形截面梁进行设计受压区高度: x = H0 - [H02 - 2 × M / (a1 × Fc × B)]1 / 2 = 265 - [2652 - 2 × 181023800.00 / (1.0 × 25.05 × 2050)]1 / 2 = 14 mm受压区高度与有效高度之比: x = x / H0 = 14 / 265 = 0.052受拉钢筋配筋面积: As = a1 × fc × B × x / fy = 1.0 × 25.05 × 2050 × 14 / 432.0 = 1623 mm2人防构件受压区构造配筋面积: As' = As / 3 = 1623 / 3 = 541 mm2人防构件受压区构造配筋应满足受拉钢筋最小配筋率: As' = Asmin = 1538 mm2计入受压钢筋的受压区高度: x = (fy × As - fy' × As') / (a1 × fc × B) = (432.0 × 1623 - 432.0 × 1538) / (1.0 × 25.05 × 2050) = 1 mm计入受压钢筋的受压区高度与有效高度之比: x = x / H0 = 1 / 265 = 0.003加强梁计算配筋面积: 1623.1 mm2加强梁采用对称配筋: 21C12(2375.1 mm2)以下是柱(梁)式门框斜截面受剪的详细计算过程:混凝土轴心受压强度设计值: fc = 16.7 N/mm2混凝土轴心受压强度标准值: ft = 1.57 N/mm2箍筋抗拉强度设计值: fyv = 270 N/mm2混凝土材料综合调整系数: gd1 = 1.5钢筋材料综合调整系数: gd2 = 1.35调整后的混凝土轴心受压强度设计值: fcd = fc × rd1 × 0.8 = 16.70 × 1.50 × 0.8 = 20.04 N/mm2调整后的混凝土轴心受压强度标准值: ftd = ft × rd1 × 0.8 = 1.57 × 1.50 × 0.8 = 1.88 N/mm2调整后的箍筋抗拉强度设计值: fyvd = fyv × rd2 = 270 × 1.35 = 365 N/mm2混凝土保护层厚度: c = 15 mm截面有效高度: H0 = H - c - 20 = 300 - 15 - 20 = 265 mm混凝土强度影响系数:bc = 1对矩形截面,截面的腹板高度: Hw = H0 = 265 mmhb = Hw / B = 0.1292683, hb ≤4 。
Vx = (0.25 × bc × fc × B × H0) / 1000 = (0.25 × 1.0 × 20.04 × 2050 × 265) / 1000 = 2721.68 kNV ≤ Vx ,满足截面受剪限制条件L/H0 ≤ 8 , y1 = 1.0Vcs1 = (0.7 × y1 × ft × B × H0) / 1000 = (0.7 × 1.0 × 1.88 × 2050 × 265) / 1000 = 716.4 kNV ≤ Vcs1 ,构造配箍即可 人防箍筋间距构造要求取 H0 / 4 = 66mm 人防规范4.11.10条)箍筋直径构造要求取 d = 6 mm 混凝土规范9.2.9条)人防构件箍筋最小配筋率: rsvmin = 0.15 % 人防规范4.11.10条)满足箍筋最小配筋率的箍筋面积: Asv1 = rsvmin × B × S / n = 0.0012 × 2050 × 100 / 4 = 76.875 mm2满足箍筋最小配筋率的箍筋直径 d = 10 mm加强梁实配箍筋: A10@100(4)FMK3人防门框墙计算一、计算条件:1.计算参数:工程名称: 工程一工程项目: 项目一门框墙编号: 门框墙1请选择门框墙类别: 无柱无梁混凝土人防门种类: 单扇人防门门扇与门框墙搭接长度da(mm): 100人防门洞口宽度B(mm): 800人防门洞口高度H(mm): 1600门框墙厚度t(mm): 500门框侧墙长度a1(mm): 400门框侧墙长度a2(mm): 500人防门槛高度h1(mm): 500门框上挡墙高度h2(mm): 2450门框墙等效静荷载qe1(kN/m2): 200保护层厚度c(mm): 15门框墙混凝土强度等级: C35门框墙受力筋级别: HRB400输出柱(梁)式门框的详细计算过程: 是二、计算依据:《混凝土结构设计规范》GB50010-2010《人民防空地下室设计规范》GB50038-2005《建筑结构静力计算实用手册》浙江大学编写,中国建筑工业出版社出版三、计算结果:(1)荷载导算过程:单个门扇宽度: a = B + 2 × da = 800 + 2 × 100 = 1000 mm门扇高度: b = H + 2 × da = 1600 + 2 × 100 = 1800 mm门扇宽度度与高度之比: a / b = 0.556,查人防规范表475-2:上下门框反力系数: ga = 0.3700左右门框反力系数: gb = 0.4533门扇传给上下门框的等效静荷载标准值: qa = ga × qe1 × a / 1000 = 0.3700 × 200.0 × 1000 / 1000 = 74.00 kN/m门扇传给左右门框的等效静荷载标准值: qb = gb × qe1 × a / 1000 = 0.4533 × 200.0 × 1000 / 1000 = 90.67 kN/m(2)左侧门框墙的计算过程:左侧门框墙可以按悬臂墙来计算。
L1 = L - da / 3 = 400 - 100 / 3 = 367 mmL2 = L - da = 400 - 100 = 300 mmM = qb × L1 / 1000 + qe1 × L22 / (2 × 106) = 90.67 × 367 / 1000 + 200 × 3002 / (2 × 106) = 42.2 kN.mV = qb + qe1 × L2 = 90.67 + 200 × 300 = 150.7 kN左侧门框墙钢筋计算面积: 206 mm2左侧门框墙配筋 : C8@200左侧门框墙配筋面积 : 252 mm2混凝土轴心受压强度设计值: ft = 1.57 N/mm2混凝土材料综合调整系数: gd = 1.50 调整后的混凝土轴心受压强度设计值: ftd = ft × gd × 0.8 = 1.57 × 1.50 × 0.8 = 1.88 N/mm2截面有效高度: H0 = H - c - 10 = 500 - 15 - 10 = 475 mmbh = 1截面抗剪承载力: R = 0.7 × bh × ftd × H0 = 0.7 × 1.0000 × 1.88 × 475 = 626.43 kNV ≤ R , 斜截面抗剪满足要求。
3)右侧门框墙的计算过程:右侧门框墙可以按悬臂墙来计算L1 = L - da / 3 = 500 - 100 / 3 = 467 mmL2 = L - da = 500 - 100 = 400 mmM = qb × L1 / 1000 + qe1 × L22 / (2 × 106) = 90.67 × 467 / 1000 + 200 × 4002 / (2 × 106) = 58.3 kN.mV = qb + qe1 × L2 = 90.67 + 200 × 400 = 170.7 kN右侧门框墙钢筋计算面积: 284 mm2右侧门框墙配筋 : C8@150右侧门框墙配筋面积 : 335 mm2混凝土轴心受压强度设计值: ft = 1.57 N/mm2混凝土材料综合调整系数: gd = 1.50 调整后的混凝土轴心受压强度设计值: ftd = ft × gd × 0.8 = 1.57 × 1.50 × 0.8 = 1.88 N/mm2截面有效高度: H0 = H - c - 10 = 500 - 15 - 10 = 475 mmbh = 1截面抗剪承载力: R = 0.7 × bh × ftd × H0 = 0.7 × 1.0000 × 1.88 × 475 = 626.43 kNV ≤ R , 斜截面抗剪满足要求。
4)门框上挡墙的计算过程:门框上档墙可以按悬臂墙来计算L1 = L - da / 3 = 2450 - 100 / 3 = 2417 mmL2 = L - da = 2450 - 100 = 2350 mmM = qa × L1 / 1000 + qe1 × L22 / (2 × 106) = 74.00 × 2417 / 1000 + 200 × 23502 / (2 × 106) = 731.1 kN.mV = qa + qe1 × L2 = 74.00 + 200 × 2350 = 544.0 kN门框上挡墙钢筋计算面积: 3810 mm2门框上挡墙配筋 : C25@120门框上挡墙配筋面积 : 4091 mm2混凝土轴心受压强度设计值: ft = 1.57 N/mm2混凝土材料综合调整系数: gd = 1.50 调整后的混凝土轴心受压强度设计值: ftd = ft × gd × 0.8 = 1.57 × 1.50 × 0.8 = 1.88 N/mm2截面有效高度: H0 = H - c - 10 = 500 - 15 - 10 = 475 mmbh = 1截面抗剪承载力: R = 0.7 × bh × ftd × H0 = 0.7 × 1.0000 × 1.88 × 475 = 626.43 kNV ≤ R , 斜截面抗剪满足要求。
FMK4人防门框墙计算一、计算条件:1.计算参数:工程名称: 工程一工程项目: 项目一门框墙编号: 门框墙1请选择门框墙类别: 双柱梁式混凝土人防门种类: 单扇人防门门扇与门框墙搭接长度da(mm): 100人防门洞口宽度B(mm): 1500人防门洞口高度H(mm): 2000门框墙厚度t(mm): 300门框侧墙长度a1(mm): 400门框侧墙长度a2(mm): 500人防门槛高度h1(mm): 500门框上挡墙高度h2(mm): 2050门框侧墙加强柱宽度c1(mm): 1500门框侧墙加强柱高度c2(mm): 1500门框上挡墙加强梁宽度b1(mm): 2050门框上挡墙加强梁高度b2(mm): 300门框墙等效静荷载qe1(kN/m2): 200柱(梁)式门框时临空墙等效静荷载qe2(kN/m2): 200保护层厚度c(mm): 15门框墙混凝土强度等级: C35门框墙受力筋级别: HRB400柱(梁)式门框箍筋级别: HPB300输出柱(梁)式门框的详细计算过程: 是二、计算依据:《混凝土结构设计规范》GB50010-2010《人民防空地下室设计规范》GB50038-2005《建筑结构静力计算实用手册》浙江大学编写,中国建筑工业出版社出版三、计算结果:(1)荷载导算过程:单个门扇宽度: a = B + 2 × da = 1500 + 2 × 100 = 1700 mm门扇高度: b = H + 2 × da = 2000 + 2 × 100 = 2200 mm门扇宽度度与高度之比: a / b = 0.773,查人防规范表475-2:上下门框反力系数: ga = 0.3600左右门框反力系数: gb = 0.3982门扇传给上下门框的等效静荷载标准值: qa = ga × qe1 × a / 1000 = 0.3600 × 200.0 × 1700 / 1000 = 122.40 kN/m门扇传给左右门框的等效静荷载标准值: qb = gb × qe1 × a / 1000 = 0.3982 × 200.0 × 1700 / 1000 = 135.38 kN/m(2)左侧门框墙的计算过程:因为 a1 > B / 2 ,左侧门框墙采用柱式门框。
L1 = c1 - da = 1500 - 100 = 1400 mmL2 = L - c1 = 400 - 1500 = -1100 mm柱式门框高度: Lh = h1 + H + h2 = 500 + 2000 + 2050 = 4550 mm柱式门框线荷载: q = qb + qe1 × L1 / 1000 + qe2 × Min{L2,Lh} / (2 × 1000) = 135.38 + 200 × 1400 / 1000 + 200 × Min{ - 1100,4550} / (2 × 1000) = 305.38 kN/m有梁式门框,尚应计算梁式门框传给柱式门框的集中力梁式门框; L1' = b1 - da = 2050 - 100 = 1950 mm梁式门框; L2' = h2 - b1 = 2050 - 2050 = 0 mm梁式门框跨度; Lb = 1500 mm梁式门框线荷载; q' = qa + qe1 × L1' / 1000 + qe2 × Min{L2',Lb} / (2 × 1000) = 122.40 + 200 × 1950 / 1000 + 200 × Min{0,1500} / (2 × 1000) = 512 kN/m梁式门框传给加强柱的集中力; F = q' × Lb / (2 × 1000) = 512 × 1500 / (2 × 1000) = 384.3 kN集中力距柱式门框底距离; y1 = h1 + H + b1 / 2 = 500 + 2000 + 2050 / 2 = 3525 mm集中力距柱式门框顶距离; y2 = h2 - b1 / 2 = 2050 - 2050 / 2 = 1025 mmM = q × Lh2 / (12 × 106) + F × y12 × y2 / (Lh2 × 103) = 305.38 × 45502 / (12 × 106) + 384.3 × 35252 × 1025 / (45502 × 103) = 763.3 kN.mV = q × Lh / (2 × 1000) + F × y12 × (1 + 2 × y2 / Lh) / Lh2 = 305.38 × 4550 / (2 × 1000) + 384.3 × 35252 × (1 + 2 × 1025 / 4550) / 45502 = 1029.3 kN以下是柱(梁)式门框正截面受弯的详细计算过程:混凝土轴心受压强度设计值: fc = 16.7 N/mm2混凝土轴心受拉强度设计值: ft = 1.57 N/mm2混凝土轴心受压强度标准值: fck = 23.4 N/mm2钢筋抗拉强度设计值: fy = 360 N/mm2钢筋受压强度设计值: fy' = 360 N/mm2钢筋弹性模量: Es = 200000 N/mm2最大配筋率: rmax = 2.4 %混凝土材料强度综合调整系数: rd1 = 1.5钢筋材料强度综合调整系数: rd2 = 1.2调整后的混凝土轴心受压强度设计值: fcd = fc × rd1 = 16.70 × 1.50 = 25.05 N/mm2调整后的混凝土轴心受拉强度设计值: ftd = ft × rd1 = 1.57 × 1.50 = 2.36 N/mm2调整后的混凝土轴心受压强度标准值: fckd = fck × rd1 = 23.40 × 1.50 = 35.10 N/mm2调整后的钢筋抗拉强度设计值: fyd = fy × rd2 = 360 × 1.20 = 432 N/mm2调整后的钢筋受压强度设计值: fyd' = fy' × rd2 = 360 × 1.20 = 432 N/mm2系数: a1 = 1混凝土立方体轴心受压强度标准值: fcuk = 35 N/mm2系数: b1 = 0.8非均匀受压时的混凝土极限压应变: Ecu = 0.0033 - (fcuk - 50) × 10 - 5 = 0.0033 - (35 - 50) × 10 - 5 = 0.0035当Ecu > 0.0033 时,取Ecu = 0.0033。
相对界限受压区高度: xb = b1 / [1 + fy / (Es × Ecu)] = 0.8 / [1 + 432.0 / (200000 × 0.0033)] = 0.4835截面有效高度: H0 = H - c2 - 20 = 1500 - 15 - 20 = 1465 mmAomax = xb × (1 - 0.5 × xb) = 0.4835 × (1 - 0.5 × 0.4835) = 0.3666Mb = Aomax × a1 × fc × B × H02 = 0.3666 × 1.0 × 25.05 × 1500 × 14652 = 29566050000.00 N.mM < Mb , 按单筋矩形截面梁进行设计受压区高度: x = H0 - [H02 - 2 × M / (a1 × Fc × B)]1 / 2 = 1465 - [14652 - 2 × 763270300.00 / (1.0 × 25.05 × 1500)]1 / 2 = 14 mm受压区高度与有效高度之比: x = x / H0 = 14 / 1465 = 0.010受拉钢筋配筋面积: As = a1 × fc × B × x / fy = 1.0 × 25.05 × 1500 × 14 / 432.0 = 1212 mm2 As < Asmin , As = Asmin = 5625 mm2人防构件受压区构造配筋面积: As' = As / 3 = 5625 / 3 = 1875 mm2人防构件受压区构造配筋应满足受拉钢筋最小配筋率: As' = Asmin = 5625 mm2计入受压钢筋的受压区高度: x = (fy × As - fy' × As') / (a1 × fc × B) = (432.0 × 5625 - 432.0 × 5625) / (1.0 × 25.05 × 1500) = 0 mm计入受压钢筋的受压区高度与有效高度之比: x = x / H0 = 0 / 1465 = 0.000加强柱计算配筋面积: 5625.0 mm2加强柱采用对称配筋: 15C22(5701.5 mm2)以下是柱(梁)式门框斜截面受剪的详细计算过程:混凝土轴心受压强度设计值: fc = 16.7 N/mm2混凝土轴心受压强度标准值: ft = 1.57 N/mm2箍筋抗拉强度设计值: fyv = 270 N/mm2混凝土材料综合调整系数: gd1 = 1.5钢筋材料综合调整系数: gd2 = 1.35调整后的混凝土轴心受压强度设计值: fcd = fc × rd1 × 0.8 = 16.70 × 1.50 × 0.8 = 20.04 N/mm2调整后的混凝土轴心受压强度标准值: ftd = ft × rd1 × 0.8 = 1.57 × 1.50 × 0.8 = 1.88 N/mm2调整后的箍筋抗拉强度设计值: fyvd = fyv × rd2 = 270 × 1.35 = 365 N/mm2混凝土保护层厚度: c = 15 mm截面有效高度: H0 = H - c - 20 = 1500 - 15 - 20 = 1465 mm混凝土强度影响系数:bc = 1对矩形截面,截面的腹板高度: Hw = H0 = 1465 mmhb = Hw / B = 0.9766667, hb ≤4 。
Vx = (0.25 × bc × fc × B × H0) / 1000 = (0.25 × 1.0 × 20.04 × 1500 × 1465) / 1000 = 11009.48 kNV ≤ Vx ,满足截面受剪限制条件L/H0 ≤ 8 , y1 = 1.0Vcs1 = (0.7 × y1 × ft × B × H0) / 1000 = (0.7 × 1.0 × 1.88 × 1500 × 1465) / 1000 = 2898.1 kNV ≤ Vcs1 ,构造配箍即可 箍筋直径构造要求取 d = 8 mm 混凝土规范9.2.9条)人防构件箍筋最小配筋率: rsvmin = 0.15 % 人防规范4.11.10条)满足箍筋最小配筋率的箍筋面积: Asv1 = rsvmin × B × S / n = 0.0012 × 1500 × 100 / 4 = 56.25 mm2满足箍筋最小配筋率的箍筋直径 d = 10 mm加强柱实配箍筋: A10@100(4)(3)右侧门框墙的计算过程:因为 a2 > B / 2 ,右侧门框墙采用柱式门框。
L1 = c1 - da = 1500 - 100 = 1400 mmL2 = L - c1 = 500 - 1500 = -1000 mm柱式门框高度: Lh = h1 + H + h2 = 500 + 2000 + 2050 = 4550 mm柱式门框线荷载: q = qb + qe1 × L1 / 1000 + qe2 × Min{L2,Lh} / (2 × 1000) = 135.38 + 200 × 1400 / 1000 + 200 × Min{ - 1000,4550} / (2 × 1000) = 315.38 kN/m有梁式门框,尚应计算梁式门框传给柱式门框的集中力梁式门框; L1' = b1 - da = 2050 - 100 = 1950 mm梁式门框; L2' = h2 - b1 = 2050 - 2050 = 0 mm梁式门框跨度; Lb = 1500 mm梁式门框线荷载; q' = qa + qe1 × L1' / 1000 + qe2 × Min{L2',Lb} / (2 × 1000) = 122.40 + 200 × 1950 / 1000 + 200 × Min{0,1500} / (2 × 1000) = 512 kN/m梁式门框传给加强柱的集中力; F = q' × Lb / (2 × 1000) = 512 × 1500 / (2 × 1000) = 384.3 kN集中力距柱式门框底距离; y1 = h1 + H + b1 / 2 = 500 + 2000 + 2050 / 2 = 3525 mm集中力距柱式门框顶距离; y2 = h2 - b1 / 2 = 2050 - 2050 / 2 = 1025 mmM = q × Lh2 / (12 × 106) + F × y12 × y2 / (Lh2 × 103) = 315.38 × 45502 / (12 × 106) + 384.3 × 35252 × 1025 / (45502 × 103) = 780.5 kN.mV = q × Lh / (2 × 1000) + F × y12 × (1 + 2 × y2 / Lh) / Lh2 = 315.38 × 4550 / (2 × 1000) + 384.3 × 35252 × (1 + 2 × 1025 / 4550) / 45502 = 1052.1 kN以下是柱(梁)式门框正截面受弯的详细计算过程:混凝土轴心受压强度设计值: fc = 16.7 N/mm2混凝土轴心受拉强度设计值: ft = 1.57 N/mm2混凝土轴心受压强度标准值: fck = 23.4 N/mm2钢筋抗拉强度设计值: fy = 360 N/mm2钢筋受压强度设计值: fy' = 360 N/mm2钢筋弹性模量: Es = 200000 N/mm2最大配筋率: rmax = 2.4 %混凝土材料强度综合调整系数: rd1 = 1.5钢筋材料强度综合调整系数: rd2 = 1.2调整后的混凝土轴心受压强度设计值: fcd = fc × rd1 = 16.70 × 1.50 = 25.05 N/mm2调整后的混凝土轴心受拉强度设计值: ftd = ft × rd1 = 1.57 × 1.50 = 2.36 N/mm2调整后的混凝土轴心受压强度标准值: fckd = fck × rd1 = 23.40 × 1.50 = 35.10 N/mm2调整后的钢筋抗拉强度设计值: fyd = fy × rd2 = 360 × 1.20 = 432 N/mm2调整后的钢筋受压强度设计值: fyd' = fy' × rd2 = 360 × 1.20 = 432 N/mm2系数: a1 = 1混凝土立方体轴心受压强度标准值: fcuk = 35 N/mm2系数: b1 = 0.8非均匀受压时的混凝土极限压应变: Ecu = 0.0033 - (fcuk - 50) × 10 - 5 = 0.0033 - (35 - 50) × 10 - 5 = 0.0035当Ecu > 0.0033 时,取Ecu = 0.0033。
相对界限受压区高度: xb = b1 / [1 + fy / (Es × Ecu)] = 0.8 / [1 + 432.0 / (200000 × 0.0033)] = 0.4835截面有效高度: H0 = H - c2 - 20 = 1500 - 15 - 20 = 1465 mmAomax = xb × (1 - 0.5 × xb) = 0.4835 × (1 - 0.5 × 0.4835) = 0.3666Mb = Aomax × a1 × fc × B × H02 = 0.3666 × 1.0 × 25.05 × 1500 × 14652 = 29566050000.00 N.mM < Mb , 按单筋矩形截面梁进行设计受压区高度: x = H0 - [H02 - 2 × M / (a1 × Fc × B)]1 / 2 = 1465 - [14652 - 2 × 780522400.00 / (1.0 × 25.05 × 1500)]1 / 2 = 14 mm受压区高度与有效高度之比: x = x / H0 = 14 / 1465 = 0.010受拉钢筋配筋面积: As = a1 × fc × B × x / fy = 1.0 × 25.05 × 1500 × 14 / 432.0 = 1239 mm2 As < Asmin , As = Asmin = 5625 mm2人防构件受压区构造配筋面积: As' = As / 3 = 5625 / 3 = 1875 mm2人防构件受压区构造配筋应满足受拉钢筋最小配筋率: As' = Asmin = 5625 mm2计入受压钢筋的受压区高度: x = (fy × As - fy' × As') / (a1 × fc × B) = (432.0 × 5625 - 432.0 × 5625) / (1.0 × 25.05 × 1500) = 0 mm计入受压钢筋的受压区高度与有效高度之比: x = x / H0 = 0 / 1465 = 0.000加强柱计算配筋面积: 5625.0 mm2加强柱采用对称配筋: 15C22(5701.5 mm2)以下是柱(梁)式门框斜截面受剪的详细计算过程:混凝土轴心受压强度设计值: fc = 16.7 N/mm2混凝土轴心受压强度标准值: ft = 1.57 N/mm2箍筋抗拉强度设计值: fyv = 270 N/mm2混凝土材料综合调整系数: gd1 = 1.5钢筋材料综合调整系数: gd2 = 1.35调整后的混凝土轴心受压强度设计值: fcd = fc × rd1 × 0.8 = 16.70 × 1.50 × 0.8 = 20.04 N/mm2调整后的混凝土轴心受压强度标准值: ftd = ft × rd1 × 0.8 = 1.57 × 1.50 × 0.8 = 1.88 N/mm2调整后的箍筋抗拉强度设计值: fyvd = fyv × rd2 = 270 × 1.35 = 365 N/mm2混凝土保护层厚度: c = 15 mm截面有效高度: H0 = H - c - 20 = 1500 - 15 - 20 = 1465 mm混凝土强度影响系数:bc = 1对矩形截面,截面的腹板高度: Hw = H0 = 1465 mmhb = Hw / B = 0.9766667, hb ≤4 。
Vx = (0.25 × bc × fc × B × H0) / 1000 = (0.25 × 1.0 × 20.04 × 1500 × 1465) / 1000 = 11009.48 kNV ≤ Vx ,满足截面受剪限制条件L/H0 ≤ 8 , y1 = 1.0Vcs1 = (0.7 × y1 × ft × B × H0) / 1000 = (0.7 × 1.0 × 1.88 × 1500 × 1465) / 1000 = 2898.1 kNV ≤ Vcs1 ,构造配箍即可 箍筋直径构造要求取 d = 8 mm 混凝土规范9.2.9条)人防构件箍筋最小配筋率: rsvmin = 0.15 % 人防规范4.11.10条)满足箍筋最小配筋率的箍筋面积: Asv1 = rsvmin × B × S / n = 0.0012 × 1500 × 100 / 4 = 56.25 mm2满足箍筋最小配筋率的箍筋直径 d = 10 mm加强柱实配箍筋: A10@100(4)(4)门框上挡墙的计算过程:因为 h2 > H / 2 ,门框上档墙采用梁式门框。
L1 = b1 - da = 2050 - 100 = 1950 mmL2 = L - b1 = 2050 - 2050 = 0 mm梁式门框跨度: Lb = 1500 mm梁式门框线荷载: q = qa + qe1 × L1 / 1000 + qe2 × Min{L2,Lb} / (2 × 1000) = 122.40 + 200 × 1950 / 1000 + 200 × Min{0,1500} / (2 × 1000) = 512.40 kN/mM = q × Lb2 / (12 × 106) = 512.40 × 15002 / (12 × 106) = 96.1 kN.mV = q × Lb / (2 × 1000) = 512.40 × 1500 / (2 × 1000) = 384.3 kN以下是柱(梁)式门框正截面受弯的详细计算过程:混凝土轴心受压强度设计值: fc = 16.7 N/mm2混凝土轴心受拉强度设计值: ft = 1.57 N/mm2混凝土轴心受压强度标准值: fck = 23.4 N/mm2钢筋抗拉强度设计值: fy = 360 N/mm2钢筋受压强度设计值: fy' = 360 N/mm2钢筋弹性模量: Es = 200000 N/mm2最大配筋率: rmax = 2.4 %混凝土材料强度综合调整系数: rd1 = 1.5钢筋材料强度综合调整系数: rd2 = 1.2调整后的混凝土轴心受压强度设计值: fcd = fc × rd1 = 16.70 × 1.50 = 25.05 N/mm2调整后的混凝土轴心受拉强度设计值: ftd = ft × rd1 = 1.57 × 1.50 = 2.36 N/mm2调整后的混凝土轴心受压强度标准值: fckd = fck × rd1 = 23.40 × 1.50 = 35.10 N/mm2调整后的钢筋抗拉强度设计值: fyd = fy × rd2 = 360 × 1.20 = 432 N/mm2调整后的钢筋受压强度设计值: fyd' = fy' × rd2 = 360 × 1.20 = 432 N/mm2系数: a1 = 1混凝土立方体轴心受压强度标准值: fcuk = 35 N/mm2系数: b1 = 0.8非均匀受压时的混凝土极限压应变: Ecu = 0.0033 - (fcuk - 50) × 10 - 5 = 0.0033 - (35 - 50) × 10 - 5 = 0.0035当Ecu > 0.0033 时,取Ecu = 0.0033。
相对界限受压区高度: xb = b1 / [1 + fy / (Es × Ecu)] = 0.8 / [1 + 432.0 / (200000 × 0.0033)] = 0.4835截面有效高度: H0 = H - c2 - 20 = 300 - 15 - 20 = 265 mmAomax = xb × (1 - 0.5 × xb) = 0.4835 × (1 - 0.5 × 0.4835) = 0.3666Mb = Aomax × a1 × fc × B × H02 = 0.3666 × 1.0 × 25.05 × 2050 × 2652 = 1322124000.00 N.mM < Mb , 按单筋矩形截面梁进行设计受压区高度: x = H0 - [H02 - 2 × M / (a1 × Fc × B)]1 / 2 = 265 - [2652 - 2 × 96075010.00 / (1.0 × 25.05 × 2050)]1 / 2 = 7 mm受压区高度与有效高度之比: x = x / H0 = 7 / 265 = 0.027受拉钢筋配筋面积: As = a1 × fc × B × x / fy = 1.0 × 25.05 × 2050 × 7 / 432.0 = 851 mm2 As < Asmin , As = Asmin = 1537.5 mm2人防构件受压区构造配筋面积: As' = As / 3 = 1538 / 3 = 513 mm2人防构件受压区构造配筋应满足受拉钢筋最小配筋率: As' = Asmin = 1538 mm2计入受压钢筋的受压区高度: x = (fy × As - fy' × As') / (a1 × fc × B) = (432.0 × 1538 - 432.0 × 1538) / (1.0 × 25.05 × 2050) 。