150m钢筋混凝土烟囱计算书

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 /(m·k)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

3、.000607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.

4、100.160.491140.002.952.9510.000.11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10.030.0

5、30.220.40870.003.653.5010.000.12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

6、.400.70150.006.556.406.050.24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)0150.000.00c250.000-1140.000.00c250.000-2130.000.00c30100.000-3120.000.00c300.000-4110.000.00c300.000-5100.000.00c300.000-690.00

7、1.00c30200.000-780.003.00c300.000-870.003.00c300.000-960.003.00c300.000-1050.003.00c300.000-1140.003.00c300.000-1230.005.00c300.000-1320.005.00c300.000-146.055.00c300.0022.806.801.806.80150.005.00c300.000-4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

8、: 5.00m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 = 1.20m±0.000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

9、细砂-16.5019.8012.00200.005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

10、gb 50010-2002(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1140.0017.8719.1817.222

11、8.85339.6167.1460.26692.462130.0020.135.175.2328.85382.5018.1118.31692.463120.0020.135.175.2328.85382.5018.1118.31692.464110.0019.985.145.1932.35379.6317.9818.18776.305100.0019.985.145.1932.35379.6317.9818.18776.30690.0020.065.165.2139.95381.0618.0418.24958.76780.0021.565.535.5942.71409.7119.3619.56

12、1025.11870.0023.836.106.1546.86452.6921.3421.541124.64960.0025.796.596.6459.95489.9423.0623.261438.901050.0028.057.157.2164.86532.9125.0425.231556.521140.0029.717.577.6290.36564.4326.4926.692168.751230.0032.728.328.3898.91621.7329.1329.332373.841320.0072.089.269.32109.591369.5332.4332.622630.19146.0

13、5104.3813.4013.48187.291983.1946.9147.184494.89150.0053.096.796.8294.251008.6323.7623.882262.09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)1140.000.00692.461159.472130.00100.001951.921111.373120.000.003063.291111.374110.000.004258.511192.085100.000.005450.591192.08690.00200.007025.141376.11780.000.008

14、467.601473.75870.000.0010040.881620.21960.000.0011975.351975.151050.000.0014068.122139.711140.000.0016820.062786.361230.000.0019811.513054.021320.000.0023121.884064.77146.050.0029051.366572.18150.000.0033390.743318.37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

15、5.6.4条规定，当烟囱筒壁外半径(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50.00

16、4.253.991.0652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

17、点温度计算以上步假定的温度代入烟囱规范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(m2·k/w) ri - 第i层热阻(m2·k/w)按平壁法计算时，内衬、隔热层和筒壁等的总热阻按下式

18、计算: 式中: t1 - 为内衬的厚度(m) t2 - 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140.00148.1

19、9139.6193.1151.9745.7348.8547.29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

20、满足70.00145.98125.6598.8971.7052.7362.2156.18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6.05146.97116.2696.0375.5649.5

21、962.5752.18满足0.00146.97116.2696.0375.5649.5962.5752.18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.

22、54-18.31-4.38-12.1290.00143.15108.2761.9214.24-18.68-2.22-12.7080.00143.15108.2761.9214.24-18.68-2.22-12.7070.00143.15108.2761.9214.24-18.68-2.22-12.7060.00143.36109.5864.7318.64-19.04-0.20-13.2450.00143.36109.5864.7318.64-19.04-0.20-13.2440.00143.75111.9869.8626.65-19.683.49-14.2330.00143.75111.986

23、9.8626.65-19.683.49-14.2320.00144.7290.6754.7017.92-21.28-1.68-16.676.05144.9192.8458.2122.85-21.590.63-17.150.00144.9192.8458.2122.85-21.590.63-17.15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(&#

24、215;105)fytkes(×105)140.0014.901.512.800.892.50335.002.00335.002.00130.0016.591.573.000.852.55335.002.00335.002.00120.0016.591.573.000.852.55335.002.00335.002.00110.0016.571.563.000.852.54335.002.00335.002.00100.0016.571.563.000.852.54335.002.00335.002.0090.0016.541.563.000.842.53335.002.00335.

25、002.0080.0016.541.563.000.842.53335.002.00335.002.0070.0016.541.563.000.842.53335.002.00335.002.0060.0016.521.553.000.842.53335.002.00335.002.0050.0016.521.553.000.842.53335.002.00335.002.0040.0016.471.543.000.842.51335.002.00335.002.0030.0016.471.543.000.842.51335.002.00335.002.0020.0016.571.563.00

26、0.852.54335.002.00335.002.006.0516.541.563.000.842.53335.002.00335.002.000.0016.541.563.000.842.53335.002.00335.002.00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)gctfctgttfttgytfytgytfyt140.001.858.051.501.011.60209.381.60209.38130.001.858.971.501.041.60209.381.60209.38120.001.858.971.501.041.60209.38

27、1.60209.38110.001.858.961.501.041.60209.381.60209.38100.001.858.961.501.041.60209.381.60209.3890.001.858.941.501.041.60209.381.60209.3880.001.858.941.501.041.60209.381.60209.3870.001.858.941.501.041.60209.381.60209.3860.001.858.931.501.041.60209.381.60209.3850.001.858.931.501.041.60209.381.60209.384

28、0.001.858.901.501.031.60209.381.60209.3830.001.858.901.501.031.60209.381.60209.3820.001.858.951.501.041.60209.381.60209.386.051.858.941.501.041.60209.381.60209.380.001.858.941.501.041.60209.381.60209.38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

29、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个振型的动力特征值。等效质点计算结果eli截面惯性矩i(m4)截面刚度b(×107kn·m2)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

30、.53122.942.0650.0057.12154.232.4640.0089.75242.332.9230.00124.13335.163.5620.00166.33449.105.326.05277.93750.414.95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

31、.0912-0.5636-0.6815-0.3952110.000.5063-0.3596-0.6762-0.35570.3595100.000.3981-0.5407-0.53280.18860.756790.000.3029-0.6214-0.21850.56930.414880.000.2229-0.60970.13080.5696-0.269970.000.1578-0.53560.39380.2790-0.633460.000.1069-0.42790.5149-0.0877-0.460650.000.0682-0.31090.5026-0.3484-0.006640.000.040

32、2-0.20300.3999-0.42400.355330.000.0211-0.11470.2580-0.34130.440020.000.0087-0.05020.1242-0.18870.29826.050.0006-0.00390.0108-0.01850.0338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

33、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 /

34、 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/hjzbzwk150.002.952.38000.89000.450.76711.001.00001.53280.88140.002.952.32200.89000.450.76710.930.89001.48600.83130.002.952.26400.89000.450.76710.870.77921.43640.78120.002.952.20600.89000.450.76710.800.6

35、6761.38370.73110.002.952.14800.89000.450.76710.730.56921.33600.69100.002.952.09000.89000.450.76710.670.47341.28720.6590.003.052.02000.89000.470.79310.600.38011.24670.6080.003.351.95000.89000.510.87110.530.30511.22530.5770.003.651.86000.89000.560.94910.470.23421.19760.5360.003.951.77000.89000.601.027

36、10.400.16761.16070.4950.004.251.67000.89000.651.10510.330.11921.13040.4540.004.551.56000.89000.691.18320.270.07751.09720.4130.005.051.42000.89000.771.31320.200.04251.06500.3620.005.551.25000.89000.851.44320.130.02081.03980.316.056.251.00000.89000.951.62460.040.01001.02690.250.006.551.00000.89001.001

37、.70320.000.01001.02820.252横向风振判断(1)第1振型时的临界风速计算根据荷载规范p45公式7.6.1-1可得式中d2/3-2h/3高度处烟囱的外直径(2)烟囱雷诺数re及横向风振判断烟囱顶部风速根据荷载规范p45公式7.6.1-2计算烟囱2/3高度处的风速v2/3 = re = 69000v2/3d2/3 = 69000 × 43.27 × 5.90 = 17.62 × 106re 3.5 × 106，vh > vcr1，第一振型发生横风向强风共振，需要考虑横风向风荷载引起的荷载效应3判断横风向风振是否起控制作用根据烟囱规

38、范p28公式5.2.4-1和5.2.4-2得: ，满足烟囱规范公式5.2.4-1的要求，承载能力极限状态仍由顺风向设计风压控制4风弯矩标准值计算风荷载及风弯矩标准值计算结果elirahiwcpqimwk140.002.9510.000.8550.26251.29130.002.9510.000.8047.46991.15120.002.9510.000.7644.642191.47110.002.9510.000.7141.933824.62100.002.9510.000.6739.375864.2590.003.0010.000.6337.508288.2180.003.2010.000.

39、5937.6911088.1470.003.5010.000.5538.7814270.4360.003.8010.000.5139.0517841.8750.004.1010.000.4738.7921802.5440.004.4010.000.4338.0126147.2130.004.8010.000.3937.1430867.6420.005.3010.000.3435.7735952.606.055.9013.950.2845.9543616.100.006.406.050.2519.0947136.45注: 1、wcp表示均布风荷载平均值，wcp = (wi + wi-1) / 2

40、 ，单位为kn/m22、qi表示作用于每一节重心处的集中风荷载，qi = 2rahiwcp，单位为kn3、mi = (qihi)，单位为kn·m七、地震作用及内力计算抗震设防烈度为7度(0.15g)，建筑场地为类，基本风压为0.40kn/m2，可不考虑竖向地震作用。水平地震作用采用振型分解反应谱法，不考虑扭转耦联作用。1水平地震作用计算(1)水平地震影响系数最大值因抗震设防烈度为7度(0.15g)，故多遇地震作用下水平地震影响系数最大值为0.12(2)特征周期因设计地震分组为第二组，建筑场地土为类，故特征周期tg = 0.55s(3)各振型参与系数根据烟囱规范p30第5.5.4条规定

41、，计算烟囱水平地震作用时考虑前5个振型根据抗震规范p31公式5.2.2-2可得: 式中: xji- j振型i质点的水平相对位移 gj - j振型的参与系数计算结果见下表: 振型参与系数的参数-质点重量与振型位移的乘积(kn)eli第一振型第二振型第三振型第四振型第五振型150.00579.73579.73579.73579.73579.73140.00991.15697.39412.76125.47-187.30130.00904.72294.04-232.56-636.31-875.30120.00718.30-105.01-649.17-784.95-455.15110.00603.58-

42、428.72-806.07-423.99428.51100.00511.25-694.25-684.22242.19971.6990.00492.15-1009.73-355.08925.09673.9980.00344.81-943.27202.41881.16-417.5570.00283.73-962.92708.01501.48-1138.7360.00219.87-880.291059.32-180.46-947.6050.00168.09-765.741238.00-858.00-16.2140.00117.45-592.731167.65-1238.021037.6230.007

43、4.93-408.24918.18-1214.881566.2220.0046.10-266.87660.62-1003.651586.016.053.12-19.4253.18-91.32166.920.000.000.000.000.000.00振型参与系数的参数-质点重量与振型位移平方的乘积(kn)eli第一振型第二振型第三振型第四振型第五振型150.00579.73579.73579.73579.73579.73140.00865.21428.34150.0513.8730.90130.00675.7071.3844.65334.24632.46120.00447.999.57365.90534.98179.87110.00305.61154.18545.05150.80154.03100.00203.55375.35