150m钢筋混凝土烟囱计算书.doc

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1、注：此结果仅供参考单筒式钢筋混凝土烟囱计算书项目名称_构件编号_日期_设 计_校 对_审核_计算时间 2011年4月2日（星期六）15:05一、设计资料1基本设计资料烟囱总高度H = 150m烟气温度Tgas = 150.00夏季极端最高温度Tsum = 40.00冬季极端最低温度Twin = -30.00烟囱日照温差T = 20.00基本风压w0 = 0.40kN/m2地面粗糙度: B类空气密度r = 1.25kg/m3烟囱安全等级: 二级环境类别: 一类抗震设防烈度: 7度(0.15g)设计地震分组: 第二组建筑场地土类别: 类筒壁竖向钢筋等级: HRB335筒壁环向钢筋等级: HRB33

2、5燃煤含硫量Sar = 0.43%烟道底部标高0.00m混凝土刚度折减系数0.90m2材料信息序号使用部位材料名称最高使用温度()重力密度(kN/m3)导热系数W /(mK)l = a + b * Tab1筒壁内衬1耐热混凝土120019.000.8200.000602筒壁内衬2耐热混凝土120019.000.8200.000603筒壁第一隔热层水泥珍珠岩制品6003.500.1600.000104筒壁第二隔热层水泥珍珠岩制品6003.500.1600.000105筒壁混凝土普通钢筋混凝土15024.001.7400.000506基础环壁内衬粘土耐火砖140019.000.9300.00060

3、7基础底板内衬粘土耐火砖140019.000.9300.000608基础环壁隔热层膨胀珍珠岩7501.200.0520.000109基础底板隔热层膨胀珍珠岩7501.200.0520.0001010基础混凝土普通钢筋混凝土20025.001.7400.0005011基础环壁外土层粘土-18.000.5800.0000012基础底板下土层粘土-18.000.5800.000003几何尺寸信息烟囱总截面数: 16筒身代表截面: 截面12烟囱筒身分节参数表(1)No.EliRoRahi内衬厚度内衬材料隔热层1厚度隔热层2厚度筒壁厚度材料总厚度0150.002.95-0.11-0.120.100.16

4、0.491140.002.952.9510.000.11内衬10.120.100.160.492130.002.952.9510.000.12内衬10.030.030.160.343120.002.952.9510.000.12内衬10.030.030.160.344110.002.952.9510.000.12内衬10.030.030.180.365100.002.952.9510.000.12内衬10.030.030.180.36690.003.053.0010.000.12内衬10.030.030.220.40780.003.353.2010.000.12内衬10.030.030.220

5、.40870.003.653.5010.000.12内衬10.030.030.220.40960.003.953.8010.000.12内衬10.030.030.260.441050.004.254.1010.000.12内衬10.030.030.260.441140.004.554.4010.000.12内衬10.030.030.340.521230.005.054.8010.000.12内衬10.030.030.340.521320.005.555.3010.000.24内衬10.030.030.340.64146.056.255.9013.950.24内衬10.030.030.400.7

6、0150.006.556.406.050.24内衬10.030.030.400.70注: 1. 内衬材料列中“内衬1”为“耐热混凝土”，“内衬2”为“耐热混凝土”2. 上表中标高及长度单位为m烟囱筒身分节参数表(2)No.Eli坡度(%)混凝土等级附加重量(kN)洞口大洞口宽度(m)大洞口高度(m)小洞口宽度(m)小洞口高度(m)0150.000.00C250.000-1140.000.00C250.000-2130.000.00C30100.000-3120.000.00C300.000-4110.000.00C300.000-5100.000.00C300.000-690.001.00C3

7、0200.000-780.003.00C300.000-870.003.00C300.000-960.003.00C300.000-1050.003.00C300.000-1140.003.00C300.000-1230.005.00C300.000-1320.005.00C300.000-146.055.00C300.0022.806.801.806.80150.005.00C300.000-4基础设计参数基础形式: 圆形基础基础混凝土等级: C30基础钢筋等级: HRB335底板下部配筋形式: 径环向配筋地下烟道: 无底板及其上土平均重度gG = 20.00 kN/m3底板埋深: 5.00

8、m地基土抗震承载力调整系数za = 1.00基础宽度修正系数hb = 0.30基础埋深修正系数hd = 1.50自动计算沉降经验系数基础几何尺寸: 环壁顶部厚度rt = 0.60 mr1 = 10.50mr2 = 7.02mr3 = 5.85mh = 2.00mh1 = 1.20m0.000相当于绝对标高0.000m天然地面标高0.000m土层参数表No.土层名称底部标高(m)重度(kN/m3)压缩模量(MPa)承载力(kPa)1填土-1.0017.606.7050.002粉质粘土-4.2019.105.40130.003粉土-11.0020.006.80170.004细砂-16.5019.8

9、012.00200.005粉质粘土-17.5019.507.10180.006细砂-20.5019.8011.00200.007粉质粘土-24.0020.007.10230.008粗砂-25.7020.5018.00260.009粉质粘土-29.0020.007.10230.00二、计算依据建筑结构荷载规范GB 50009-2001(以下简称“荷载规范”)建筑抗震设计规范GB 50011-2001(以下简称“抗震规范”)烟囱设计规范 GB 50051-2002(以下简称“烟囱规范”)建筑地基基础设计规范GB 50007-2002(以下简称“基础规范”)混凝土结构设计规范GB 50010-200

10、2(以下简称“混凝土规范”)烟囱工程手册(中国计划出版社，2004年7月第1版，以下简称“烟囱手册”)钢筋混凝土烟囱 05G212 (以下简称“烟囱图集”)三、筒身自重计算筒壁内侧挑出牛腿支承内衬和隔热层的重量，因此每节下部重量不包括本节的内衬及隔热层的重量，该重量由下一节来承受。如果存在洞口的话则扣除洞口部位的重量。每节根部自重包括其上面所有分节的自重加上附加重量，每节重量等于本节所有自重加上附加重量。主要应用如下公式: 筒身自重表格(1)No.EliVi(m3)重量(kN)内衬隔热层1隔热层2筒壁内衬隔热层1隔热层2筒壁1140.0017.8719.1817.2228.85339.6167

11、.1460.26692.462130.0020.135.175.2328.85382.5018.1118.31692.463120.0020.135.175.2328.85382.5018.1118.31692.464110.0019.985.145.1932.35379.6317.9818.18776.305100.0019.985.145.1932.35379.6317.9818.18776.30690.0020.065.165.2139.95381.0618.0418.24958.76780.0021.565.535.5942.71409.7119.3619.561025.11870.0

12、023.836.106.1546.86452.6921.3421.541124.64960.0025.796.596.6459.95489.9423.0623.261438.901050.0028.057.157.2164.86532.9125.0425.231556.521140.0029.717.577.6290.36564.4326.4926.692168.751230.0032.728.328.3898.91621.7329.1329.332373.841320.0072.089.269.32109.591369.5332.4332.622630.19146.05104.3813.40

13、13.48187.291983.1946.9147.184494.89150.0053.096.796.8294.251008.6323.7623.882262.09筒身自重表格(2)No.Eli附加重量(kN)每节根部重量(kN)本节总重量(kN)1140.000.00692.461159.472130.00100.001951.921111.373120.000.003063.291111.374110.000.004258.511192.085100.000.005450.591192.08690.00200.007025.141376.11780.000.008467.601473.7

14、5870.000.0010040.881620.21960.000.0011975.351975.151050.000.0014068.122139.711140.000.0016820.062786.361230.000.0019811.513054.021320.000.0023121.884064.77146.050.0029051.366572.18150.000.0033390.743318.37注: 截面1的附加重量中已包含了作用在截面0上的附加重量筒身总重量 G = S(每节重量) = 34447.01kN四、筒身温度计算1确定计算方法根据烟囱规范P33第5.6.4条规定，当烟囱

15、筒壁外半径(r2)与内半径(r1)的比值小于1.1时，可采用平壁法计算受热温度，否则应采用环壁法计算受热温度。各截面采用计算方法Elir2r1r2/r1计算方法140.002.952.791.0573平壁法130.002.952.791.0573平壁法120.002.952.791.0573平壁法110.002.952.771.0650平壁法100.002.952.771.0650平壁法90.003.052.831.0777平壁法80.003.353.131.0703平壁法70.003.653.431.0641平壁法60.003.953.691.0705平壁法50.004.253.991.06

16、52平壁法40.004.554.211.0808平壁法30.005.054.711.0722平壁法20.005.555.211.0653平壁法6.056.255.851.0684平壁法0.006.556.151.0650平壁法2假定初始温度温度计算采用如下计算方法，首先根据经验公式假设各材料的温度t:筒身各层厚度分别为t1、t2、t3、tn总厚度t = t1 + t2 + t3 + tn计算点坐标为x，所以可得: 0点: x = t1点: x = tn + t3 + t22点: x = tn + t33点: x = tn4点: x = 0则可按下式计算各点的初步温度3各点温度计算以上步假定的温

17、度代入烟囱规范P34公式5.6.5求出各点的温度，如果求出的各点温度与假定温度误差超过5%，则以本次求出的温度作为假定温度值，继续代入公式5.6.5中求解，直到二者误差小于5%为止(一般两次就能满足要求)。当验算截面位于烟道底部标高以下时，验算夏季温度时，取烟气温度为夏季极端最高温度+10；验算冬季温度时，取烟气温度为10式中: Tcj - 计算点受热温度() Tg - 烟气温度() Ta - 空气温度() Rtot - 内衬、隔热层、筒壁等总热阻(m2K/W) Ri - 第i层热阻(m2K/W)按平壁法计算时，内衬、隔热层和筒壁等的总热阻按下式计算: 式中: t1 - 为内衬的厚度(m) t

18、2 - 第1隔热层的厚度(m) t3 - 第2隔热层的厚度(m) tn - 筒壁混凝土厚度(m)其余符号意义见烟囱规范P35说明，计算l时温度采用平均温度，示意图见下: 按环壁法计算内衬、隔热层和筒壁等各点受热温度时，内衬、隔热层和筒壁等的总热阻按下式计算: 式中: d0 - 内衬内直径(m) d1 - 第1隔热层内直径(m) d2 - 第2隔热层内直径(m) d3 - 筒壁内直径(m) dn - 筒壁外直径(m)4夏、冬季计算温度汇总表夏季计算温度汇总表EliT0()T1()T2()T3()T4()Tp()Ts()验算结果140.00148.19139.6193.1151.9745.7348

19、.8547.29满足130.00145.79124.4696.3767.8253.3460.5856.96满足120.00145.79124.4696.3767.8253.3460.5856.96满足110.00145.85124.8797.2469.1553.1361.1456.69满足100.00145.85124.8797.2469.1553.1361.1456.69满足90.00145.98125.6598.8971.7052.7362.2156.18满足80.00145.98125.6598.8971.7052.7362.2156.18满足70.00145.98125.6598.89

20、71.7052.7362.2156.18满足60.00146.10126.38100.4474.0952.3563.2255.69满足50.00146.10126.38100.4474.0952.3563.2255.69满足40.00146.32127.72103.2778.4751.6565.0654.81满足30.00146.32127.72103.2778.4751.6565.0654.81满足20.00146.86115.0394.0572.8249.9361.3752.62满足6.05146.97116.2696.0375.5649.5962.5752.18满足0.00146.971

21、16.2696.0375.5649.5962.5752.18满足冬季计算温度汇总表EliT0()T1()T2()T3()T4()Tp()Ts()140.00147.02132.8655.30-14.60-25.08-19.84-22.46130.00142.80106.1357.347.07-18.11-5.52-11.82120.00142.80106.1357.347.07-18.11-5.52-11.82110.00142.92106.8658.919.54-18.31-4.38-12.12100.00142.92106.8658.919.54-18.31-4.38-12.1290.00

22、143.15108.2761.9214.24-18.68-2.22-12.7080.00143.15108.2761.9214.24-18.68-2.22-12.7070.00143.15108.2761.9214.24-18.68-2.22-12.7060.00143.36109.5864.7318.64-19.04-0.20-13.2450.00143.36109.5864.7318.64-19.04-0.20-13.2440.00143.75111.9869.8626.65-19.683.49-14.2330.00143.75111.9869.8626.65-19.683.49-14.2

23、320.00144.7290.6754.7017.92-21.28-1.68-16.676.05144.9192.8458.2122.85-21.590.63-17.150.00144.9192.8458.2122.85-21.590.63-17.15注: 1、Tp表示筒壁截面的平均温度，Tp = (T3 + T4) / 22、Ts表示钢筋所在位置的温度5材料力学参数汇总表夏季温度作用下材料标准值Eli混凝土竖向钢筋(HRB335)环向钢筋(HRB335)fctkfttkEc(104)bcEct(104)fytkEs(105)fytkEs(105)140.0014.901.512.800.89

24、2.50335.002.00335.002.00130.0016.591.573.000.852.55335.002.00335.002.00120.0016.591.573.000.852.55335.002.00335.002.00110.0016.571.563.000.852.54335.002.00335.002.00100.0016.571.563.000.852.54335.002.00335.002.0090.0016.541.563.000.842.53335.002.00335.002.0080.0016.541.563.000.842.53335.002.00335.00

25、2.0070.0016.541.563.000.842.53335.002.00335.002.0060.0016.521.553.000.842.53335.002.00335.002.0050.0016.521.553.000.842.53335.002.00335.002.0040.0016.471.543.000.842.51335.002.00335.002.0030.0016.471.543.000.842.51335.002.00335.002.0020.0016.571.563.000.852.54335.002.00335.002.006.0516.541.563.000.8

26、42.53335.002.00335.002.000.0016.541.563.000.842.53335.002.00335.002.00夏季温度作用下材料设计值Eli混凝土竖向钢筋(HRB335)环向钢筋(HRB335)gctfctgttfttgytfytgytfyt140.001.858.051.501.011.60209.381.60209.38130.001.858.971.501.041.60209.381.60209.38120.001.858.971.501.041.60209.381.60209.38110.001.858.961.501.041.60209.381.6020

27、9.38100.001.858.961.501.041.60209.381.60209.3890.001.858.941.501.041.60209.381.60209.3880.001.858.941.501.041.60209.381.60209.3870.001.858.941.501.041.60209.381.60209.3860.001.858.931.501.041.60209.381.60209.3850.001.858.931.501.041.60209.381.60209.3840.001.858.901.501.031.60209.381.60209.3830.001.8

28、58.901.501.031.60209.381.60209.3820.001.858.951.501.041.60209.381.60209.386.051.858.941.501.041.60209.381.60209.380.001.858.941.501.041.60209.381.60209.38注: 强度值和弹性模量的单位均为N/mm2五、动力特征计算烟囱可以简化成具有多个集中质量的多质点振动体系，其连续渐变截面用分段变截面代替，考虑到混凝土开裂等因素对刚度的影响，截面的刚度取质点质心处烟囱截面的刚度的0.90倍，即B = 0.90 EI。求解特征方程，即可得到前5个振型的动力特征

29、值。等效质点计算结果Eli截面惯性矩I(m4)截面刚度B(107kNm2)等效质点重量(103kN)150.0011.8829.940.58140.0011.8829.941.14130.0011.8832.081.21120.0011.8832.081.15110.0013.2335.721.19100.0013.2335.721.2890.0017.5647.421.6280.0023.5163.471.5570.0030.6682.781.8060.0045.53122.942.0650.0057.12154.232.4640.0089.75242.332.9230.00124.1333

30、5.163.5620.00166.33449.105.326.05277.93750.414.95各振型相对位移计算结果Eli第一振型(相对值)第二振型(相对值)第三振型(相对值)第四振型(相对值)第五振型(相对值)150.001.00001.00001.00001.00001.0000140.000.87290.61420.36350.1105-0.1650130.000.74690.2427-0.1920-0.5253-0.7226120.000.6237-0.0912-0.5636-0.6815-0.3952110.000.5063-0.3596-0.6762-0.35570.35951

31、00.000.3981-0.5407-0.53280.18860.756790.000.3029-0.6214-0.21850.56930.414880.000.2229-0.60970.13080.5696-0.269970.000.1578-0.53560.39380.2790-0.633460.000.1069-0.42790.5149-0.0877-0.460650.000.0682-0.31090.5026-0.3484-0.006640.000.0402-0.20300.3999-0.42400.355330.000.0211-0.11470.2580-0.34130.440020

32、.000.0087-0.05020.1242-0.18870.29826.050.0006-0.00390.0108-0.01850.0338各振型自振周期分别为: T1 = 3.1965sT2 = 0.8088sT3 = 0.3283sT4 = 0.1785sT5 = 0.1102s六、风荷载计算1顺风向风压w0 = 0.40kN/m2时风荷载系数计算(1)风压高度变化系数因地面粗糙度为B类，查荷载规范P25表7.2.1可得到mz(2)风载体型系数ms根据荷载规范，ms = 0.60(3)脉动增大系数x根据荷载规范P42表7.4.3，w0T12 = 0.40 3.19652 = 4.09地面

33、粗糙度为B类，混凝土结构，插值得x = 1.6530(4)脉动影响系数n 1)脉动影响系数n1: 根据荷载规范P42表7.4.4-1，总高度为150.00m，地面粗糙度为B类，n1 = 0.8900 2)修正系数qB和qV: 根据荷载规范P43表7.4.4-2可得: BH / B0 = 5.90 / 13.10 = 0.45插值可得qV = 1.9137qB = Bz / B0 3)脉动影响系数n: n = n1qBqV(5)振型系数jz根据BH / B0的值查荷载规范P121表F.1.3可得(6)风振系数bz根据荷载规范P42公式7.4.2可得(7)风荷载标准值wk = bzmsmzw0顺风

34、向风压时风荷载计算结果EliRomzn1qBnz/Hjzbzwk150.002.952.38000.89000.450.76711.001.00001.53280.88140.002.952.32200.89000.450.76710.930.89001.48600.83130.002.952.26400.89000.450.76710.870.77921.43640.78120.002.952.20600.89000.450.76710.800.66761.38370.73110.002.952.14800.89000.450.76710.730.56921.33600.69100.002.

35、952.09000.89000.450.76710.670.47341.28720.6590.003.052.02000.89000.470.79310.600.38011.24670.6080.003.351.95000.89000.510.87110.530.30511.22530.5770.003.651.86000.89000.560.94910.470.23421.19760.5360.003.951.77000.89000.601.02710.400.16761.16070.4950.004.251.67000.89000.651.10510.330.11921.13040.4540.004.551.56000.89000.6