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一、管径计算SD144-85水电站压力钢管设计规范1、经济流速计算结果设计流量经济流速管径8854.7322、经验公式钢材材料力学性能计算结果材质16设计流量经济流速管径Q21521588--4.792Q2352353、彭德舒公式材质16计算结果16Mn345设计流量设计水头管径15MnT88455.006利用材料屈服强度二、管壁厚度计算a、按内水压力初步计算钢管内径跨中总水头钢材屈服强度钢材材质强度mmkpa折算系数54599000Q2350.44工程计算取值0.015工程采用壁厚1840mm不满足10mm满足要求c、不设加劲环，外压稳定计算钢材弹模壁厚内径临界压力抗外压稳定kpammm安全系数2.06E+08185.00019.2222722c、设加劲环，外压稳定计算参数参数参数压力管道计算工程应用取值5参数b1、稳定要求管壁厚度b2、稳定要求最小管壁厚度参数钢管平均半径钢材弹模壁厚加劲环间距泊松比2.5092.06E+080.01880.3δ/rn2-10.00717417324三、钢管受力分析参数输入区水容重钢材容重平均直径壁厚管线与水平夹角9.8178.55.0180.01840轴力计算每米水重每米钢重水、管法向分力镇墩间钢管总跨数钢管自重轴线分力192.61924.4151330.0606721.905伸缩节内水压力填料摩擦力支墩钢管摩阻填料长度总轴向力97.352419.052432665.0300.2-1903.339四、管壁应力分析1、跨中断面(计算点θ度管壁外缘应力最大）a、环向应力σθ161533.225σx1-6707.539σxσx1-1245.550-7953.09两端固结M443.389c、强度校核σ65870.848允许应力111375满足条件2、支承环旁膜应力区边缘断面(θ=180度，剪应力τxθ=0)a、环向应力σθ164161.385σx1-6707.539σxσx2-2490.801-9198.34两端固结M-886.671c、强度校核σ69220.452允许应力111375满足条件3、加劲环及其旁管壁a、加劲环截面尺寸肋高肋宽上翼板宽上翼板厚管壁等效翼缘1+n2*l2/3.142/r2b、轴应力是否满足2倍大气压值满足条件b、轴应力26.75247147计算过程0.30.0360.30.0180.165加劲环截面积有效截面积截面惯性矩βB10.01680.0228054.82E-040.7245779430.907单支面积0.022805双支面积0.028204668截面惯性矩计算见截面几何性质计算软件b、应力验算M1N1βσθ2σx14.29283814451.88880280.7107102.908686-6707.539钢管内壁应力66914.5847钢管外壁应力92335.95833最大应力值允许应力111375是否满足条件满足条件4、支承环及其旁管壁a、支承环截面尺寸肋高肋宽支承板宽支承板厚管壁等效翼缘0.40.0360.4000.0180.165760553支承环截面积有效截面积截面惯性矩βB10.0222480.035415381.00E-030.6190530780.889单支面积0.028215双支面积0.03541538截面惯性矩计算见截面几何性质计算软件b、环向应力水压力σθ223440.8927kPa支承环TR的σθ3计算断面θK1K2K1+B1*K2TR0-0.23873240.3180.04432759958.9583756467-0.26459640.124-0.15399601-204.82396390-0.250.000-0.25-332.515053900.250.0000.25332.51505281130.26459637-0.1240.153996008204.82396331800.23873241-0.318-0.0443276-58.9583756支承环M的σθ4ZR10.2ZR20.182ZR3管内壁00.11120661-0.068309886389.548539477843.1286667-0.14406040.125626419-499.2984-99774.34390-1.443E-160.2535.91162577176.187348901.4433E-16-0.25-35.9116257-7176.18735计算断面θK3K4MRσθ4（kPa)1130.14406037-0.125626419499.298399999774.34298180-0.11120660.068309886-389.548539-77843.1287σx1-6707.538564σx369175.676内壁取正值管外壁取负值-m/3.14*r^2*δ2490.8903206790+90-113180c、强度校核c1、轴力产生应力相当应力计算表∑σθ∑σx(2)+(3)(1)+(2)管内外壁环外壁025105.6602-4216.64827457.9025105.666717657.4177-5734.27021116.7917657.429014051.8912-6707.53918349.4014051.899032829.8941-6707.53936646.9832829.8911329224.3676-7680.80733727.2229224.3718021776.1251-9198.42927552.0821776.13允许应力135675满足条件满足条件90c2、轴力弯矩产生应力相当应力计算表管内壁管外壁环外壁管内壁0102948.78995942.907-66749.231664959.0367-82116.925-73137.234135391.142463441.419021228.078620582.2225583.99017862468.149025653.706726299.56441297.7951462468.14113128998.711120019.020-88509.357161494.87∑σx钢管内外壁是否满足要求钢管外环是否满足要求最大应发生部位计算断面θ∑σθ-973.26839-2490.89032σx2(kPa)轴向应力σx计算断面θσx2计算表计算断面θσ（kPa)2490.89032973.268390.000000.00000180-56067.004-49061.122113631.016959977.25允许应力172125最大应力171859.6046应力是否满足满足条件5、抗外压稳定分析5.1管壁抗外压稳定分析临界压力265.895103是否满足满足条件5.2加劲环抗外压稳定分析p12.00E+03是否满足p2255.635961满足条件5.3支承环抗外压稳定分析p13928.06是否满足p2396.993847满足条件SD144-85水电站压力钢管设计规范钢材材料力学性能单位Mpa16~4040~10020519522521516~2525~36325315390375225000计算结果水头焊缝壁厚乘数系数mm1.250.90.015是否满足稳定要求不满足参数计算结果压力管道计算工程应用取值5临界波数临界压力5265.895103是否重新计算否加劲环间距含附件材料重量系数伸缩节水头81.145填料摩擦系数支墩摩擦系数0.30.1环重心至内壁环重心至钢管中心距离取两倍的壁厚套管径差是否满足2倍大气压值满足条件0.15b2.650.106截面惯性矩计算见截面几何性质计算软件σx2σx3-2490.80179381.041292335.95833环重心至内壁D0.2b2.7000.108截面惯性矩计算见截面几何性质计算软件σθ31664.767557-5783.474957-9389.001412+9389.001412-5783.474957-1664.767557-0.236管外壁外环壁70837.24708-91854.892-90794.65211117733.7256530.330487-8467.9011+-6530.3304878467.90107-环重心至钢管中心距离+内缘-外缘σθ4（kPa)环重心至钢管中心距离90794.65211-117733.72-70837.2470891854.8918管外壁取负值36646.9832829.990管外壁环外壁管内壁管外壁环外壁管内壁-73392.324090170.257147081.4-66749.2316126403-74909.9460126402.5974039.51135391.1424-75883.214055016.55187998.55583.990178-75883.214054386.04291900.0841297.79514-76856.4820111756.55171859.6-88509.3571∑σxσ（kPa)最大应力最大内外壁应力最大外环应力叛断-78374.1040100516.2868588.43113631.0169171859.6046管外壁管外环171860135391计算时自行查看最大应力发生部位叛断发生部位最大应力171860计算时自行查看最大应力发生部位1计算水头流量管径钢材材料45885Q235跨数屈服强度6225000项目型式肋高肋宽上翼板宽上翼板厚加劲环倒T型0.30.0360.30.018支承环工字型0.40.0360.40.018支承方式允许应力是否满足111375.00满足条件111375.00满足条件111375.00满足条件172125.00满足条件安全系数是否满足2满足条件2满足条件2满足条件10mm满足要求计算依据SD144-85水电站压力钢管设计规范制作加工最小厚度265.90计算结果程序未涉及侧向滚动171859.60项目管壁加劲环最大应力65870.8569220.4592335.96抗外压稳定支承环临界应力255.64396.99环尺寸应力计算断面跨中支承环边缘加劲环及旁管壁支承环及旁壁压力管道计算基本资料加劲环间距8管线水平夹角40管壁厚18基本特殊轴力轴力和弯矩轴力轴力和弯矩明管0.550.70.670.850.81地下0.670.9坝内0.670.8/0.9允许应力钢材的允许应力（折减系数）产生应力的内力应力区域荷载组合膜应力区基本特殊局部应力区θmaxK1最小值67-0.26460-0.238731-0.238742-0.238783-0.238844-0.238935-0.239036-0.239177-0.239328-0.23959-0.239710-0.2399311-0.2401812-0.2404513-0.2407414-0.2410515-0.2413816-0.2417317-0.2421118-0.242519-0.2429120-0.2433421-0.2437822-0.2442423-0.2447224-0.2452125-0.2457126-0.2462327-0.2467628-0.247329-0.2478530-0.2484231-0.2489832-0.2495633-0.2501434-0.2507335-0.2513236-0.2519237-0.2525138-0.2531139-0.2537140-0.2543θK141-0.2548942-0.2554843-0.2560644-0.2566345-0.257246-0.2577547-0.258348-0.2588349-0.2593550-0.2598551-0.2603352-0.260853-0.2612554-0.2616855-0.2620856-0.2624657-0.2628158-0.2631459-0.2634460-0.263761-0.2639462-0.2641463-0.2643164-0.264