采矿设计资料-梁窝计算.docx

采矿设计参考资料梁 窝 计 算编写人： 赵启茺兖州煤矿设计研究院采矿室1981年12月说 明在井筒装备设计中，需要预留梁窝时，为减少重复的计算工作，并对原计算公式进行了修正，特编制梁窝计算参考资料以供参考。由于时间短促，有不足之处，望同志们在使用中随时指正。一梁沿梁的铅垂面向下伸入时，先伸入端的梁宽高度的计算1.公式的推导：从图一可以看出：当时，的值最大，随着的增加，随之减小，直到，则所求梁窝高：为了求得为极大值时角，须使上式的一次导数为0。即：图一在应用中解出上式值比较困难，概括目前实际应用范围编成程序通过电算得出结果，并整理成表格（见表135）2表中符号含义及单位：梁高单位，mm；C梁一端埋入井壁深度，单位：mm；M梁在井筒内的跨度（指梁中），单位：m；当为极大值时的值，单位：mm；当为极大值时的角，单位：度。3.表格应用范围：M为3m至8.8m每隔200mm为一级，即3，3.2，3.4，3.6，8.8m。C为250mm至600mm每10mm为一级，即250，260，270，600mm。：100450mm为一组；450700mm为一组；7001000mm为一组。4.使用方法：根据设计已经确定了的M、C各值（见图一二）查表分别得，值实例：图二已知：M=5.125m，C450mm，320mm，把M进为5.2m查表得：194mm，19.49M值是根据梁在井筒中的位置计算求得，一般和表中M值不相等。可按100mm进一级，不足100mm舍去确定之。C值在设计中一般是人为选定，要求C值尽量按本表级别确定。5.修正通过查表计算出来的梁窝高度仅为理论上的计算高度，考虑各种施工误差和安装方便应增加一个高度系数K100mm左右。当梁靠近井筒中心线或型号比较大时系数可大一些。反之系数可以小一些，最后把梁窝高度取一整数。例：533+97630mm二梁的一端与其他梁连接，另一端伸入井壁的梁窝高度计算公式从图三可以看出梁伸入梁窝过程中，梁窝最大高度为实线梁所示位置。计算公式为：图三计算出结果后另加高度系数K=100mm左右。三梁沿井筒水平方向伸入梁窝时，梁窝宽度的确定1.确定采用水平伸入法时一定要具备以下三条件：1）梁的长度小于井筒直径；2）施工悬吊设施不得妨碍梁在井筒中作水平方向摆动；3）梁的位置一般应距井筒中心三分之二左右半径处或三分之二半径以远位置。2.从图四可以看出，当梁伸入梁窝在最不利位置时，相当梁的一端埋入井壁长度左右。这样求出的梁高度就比较小，另外梁在井筒中做水平方向摆动时，梁的一端和梁窝宽度均沿圆的曲线变化，因此梁窝宽度计算公式推导比较复杂而又无实用意义。根据作图法验证：当梁的一端埋深不超过500mm时，则一般不大于110mm，角不大于20。目前梁宽一般均不超过300mm，按梁宽300mm验算： 图四梁窝宽：上式结果减去梁宽300mm的梁净增加梁宽为：429-300129mm从以上分析可得出如下结论，水平伸入法在一般情况下梁窝宽度不用计算，可按第四条“梁窝位置误差法”确定。四以上各条当梁伸入梁窝时，所需的梁窝高度或宽度，据了解梁窝的大小在施工中误差较小，而梁窝的位置不易凿准。故设计应考虑误差，经向有关施工单位了解（见图五）或和施工单位协商确定并和伸入法进行比较最后取大值。五梁窝深度计算：式中：梁窝深；图五梁窝加深系数取200mm左右。表1 MC=250C=260C=270C=280C=290C=3003100-45010519.8011120.1211820.4412420.7513121.0513721.47450-7009921.9910522.3111122.6111722.91 12423.2113123.50700-10008823.889424.1810024.4810724.7711325.0612025.343.2100-45010219.1710819.4911419.8012120.1012720.3913320.80450-7009621.2210221.5310821.8311522.1212122.4112722.69700-10008722.979323.279923.5710523.8511124.1311824.413.4100-4509918.6010518.9111119.2111719.5112419.8013020.19450-7009420.5210020.8210621.1211221.4111821.6912421.97700-10008622.169222.459722.7410323.0211023.3011623.573.6100-4509718.0810218.3810818.6711418.9612019.2512619.63450-7009219.889820.1810320.4710920.7511521.0312221.30700-10008524.429021.719621.9910222.2710822.5411422.813.8100-4509417.5910017.8910618.1811218.4611718.7412319.12450-7009019.309619.5910119.8810720.1611320.4311920.69700-10008320.758921.039421.3110021.5810621.8511222.11表2 MC=310C=320C=330C=340C=350C=3603100-45014421.7615122.0415822.3216522.5917222.8617923.12450-70013723.7814424.0515124.3215824.5916524.8517225.10700-100012625.6113325.8814026.1514726.4015326.6616126.913.2100-45014021.0914721.3615321.6316021.9016722.1617422.41450-70013422.9714123.2414723.5115423.7616124.0216824.27700-100012424.6813124.9413725.2014425.4615125.7015825.953.4100-45013620.4714320.7414921.0115621.2616321.5217021.77450-70013122.2413722.5014422.7615023.0215723.2716423.51700-100012223.8312824.0913524.3514124.6014824.8415525.083.6100-45013319.9013920.1714620.4315220.6815920.9316521.18450-70012821.5713421.8314022.0814722.3315422.5816022.82700-100012023.0712623.3213223.5713923.8214524.0615224.303.8100-45012919.3813619.6414219.9014820.1515520.3916120.63450-70012520.9613121.2113721.4614421.7115021.9515722.19700-100011822.3712422.6213022.8613623.1114323.3414923.58表3 MC=370C=380C=390C=400C=410C=4203100-45018723.3719423.6220223.8720924.1121724.3522524.58450-70017925.3518725.6019425.8420226.0720926.3121726.54700-100016827.1517527.3918227.6219027.8619728.0820528.313.2100-45018122.6618922.9119623.1520323.3921123.6221823.85450-70017524.5118224.7618924.9919725.2320425.4521225.68700-100016526.1917226.4217926.6618626.8819327.1120127.333.4100-45017722.0218422.2619122.4919822.7320522.9621323.18450-70017123.7517823.9918524.2219224.4519924.6820624.90700-100016125.3216825.5517525.7818226.0018926.2219726.443.6100-45017221.4217921.6618621.8919322.1220022.3420722.56450-70016723.0617423.2918123.5218823.7419523.9720224.18700-100015824.5316524.7617224.9817925.2018625.4219325.633.8100-45016820.8717521.1018221.3318821.5619521.7820221.99450-70016322.4217022.6517722.8718323.0919023.3119723.53700-100015623.8016224.0316924.2517624.4718224.6818924.89表4MC=430C=440C=450C=460C=470C=4803100-45023224.8124025.0424825.2625625.4826425.7027225.91450-70022526.7623326.9824027.20248 27.41 27.425627.6226427.83700-100021228.5322028.7422828.9523629.1624429.3725229.573.2100-45022624.0823424.3024124.52 24.5326.3324924.7325724.9426525.15450-70021925.9022726.1223426.3324226.5425026.7525826.96700-100020827.5421627.7622327.9723128.1723928.3824628.583.4100-45022023.4022823.6223523.8424324.0525024.2625824.46450-70021425.1222125.3322925.5423625.7524425.9525226.15700-100020426.6521126.8621927.0722627.2723427.4724127.673.6100-45021522.7822223.0022923.2123723.4224423.6225223.82450-70020924.4021624.6122428.8223125.0223825.2224625.42700-100020025.8420726.0521426.2522226.4522926.6523726.853.8100-45020922.2121722.4222422.6323122.8323823.0324623.23450-70020423.7421123.9421924.1522624.3523324.5524124.74700-100019625.1020325.3021025.5021825.7022525.9023226.09表5MC=490C=500C=510C=520C=530C=5403100-45028126.1228926.3229726.5330626.7331426.9232327.12450-70027328.0428128.2428928.4429828.6330628.8331429.02700-100026029.7726829.9727630.1728430.6339330.5530130.733.2100-45027325.3628125.5628925.7629825.9630626.1531426.34450-70026627.1627427.3628227.5529027.7429827.9330728.12700-100025428.7726228.9727029.1627829.3528629.5429529.723.4100-45026624.6627424.8628225.0629025.2529825.4430625.63450-70025926.3526726.5527526.7428326.9329127.1229927.31700-100024927.8725728.0626528.2527328.4428128.6228928.803.6100-45025924.0226724.2227524.4128324.6029124.7929924.98450-70025425.6226125.8126926.0027726.1928526.3729326.55700-100024427.0425227.2325927.4226727.6027527.7828327.963.8100-45025323.4326123.6226923.8127624.0028424.1829224.37450-70024824.9425525.1326325.3127125.5027825.6828625.86700-100023926.2824726.4725426.6526226.8327027.0127727.19表6MC=550C=560C=570C=580C=590C=6003100-45033227.3134027.5034927.6935827.8736728.0537628.23450-70032339.2133229.3934029.5734929.7535829.9336730.11700-100030930.9231831.1032731.2833531.4534431.6335331.803.2100-45032326.5333126.7234026.9034827.0935727.2636627.44450-70031528.3132328.4933228.6734028.8534929.0335829.20700-100030329.9031130.0832030.2632830.4333730.6134530.783.4100-45031425.8232326.0033126.1833926.3634826.5435626.71450-70030827.4931627.6732427.8533228.0234128.2034928.37700-100029728.9830529.1631329.3332129.5133029.6833829.843.6100-45030725.1631525.3432325.5233125.7033925.8734826.04450-70030026.7330926.9131727.0932527.2633327.4334127.60700-100029128.1429928.3130728.4931528.6632328.8333128.993.8100-45030024.5530824.7331624.9032425.0833225.2534025.42450-70029426.0430226.2231026.39.31826.5632626.7333426.90700-100028527.3629327.5430127.7130927.8831728.0432528.21表7 MC=250C=260C=270C=280C=290C=3004100-4509217.159817.4410317.7210918.0011518.2712118.64450-7008818.779419.059919.3310519.6011119.8711620.13700-10008220.138720.419320.689820.9510421.2211021.474.2100-4509016.739517.0210117.3010717.5711217.8411818.19450-7008618.279218.559718.8310319.0910819.3611419.61700-10008119.568619.849120.119720.3710220.6310820.884.4100-4508816.349316.629916.9010417.1711017.4311517.78450-7008517.819018.099518.3610118.6210618.8811219.13700-10008019.048519.319019.589519.8410120.0910620.344.6100-4508615.989116.269716.5310216.7910817.0511317.39450-7008317.388817.659317.929918.1810418.4311018.68700-10007818.558318.828919.089419.349919.5910519.834.8100-4508515.649015.919516.1810016.4410516.6911117.02450-7008216.988717.259217.519717.7710218.0210818.26700-10007718.108218.368718.629218.879819.1210319.36表8MC=310C=320C=330C=340C=350C=3604100-45012618.9013319.1513919.4014519.6515119.8915820.13450-70012220.3912820.6413420.8914121.1314721.3715321.60700-100011621.7212221.9712822.2113422.4514022.6814622.914.2100-45012418.4513018.7013619.9414219.1814819.4215419.65450-70012019.8712620.1113220.3613820.5914420.8315021.06700-100011421.1312021.3712621.6113221.8513822.0814422.304.4100-45012118.0312718.2713318.5213918.7514518.9915119.21450-70011819.3812319.6212919.8613520.0914120.3214720.55700-100011220.5811820.8212421.0612921.2913521.5114121.744.6100-45011917.6312417.8813018.1113618.3514218.5814818.80450-70011518.9312119.1612719.4013319.6313919.8614420.08700-100011020.0711620.3112220.5412720.7713320.9913921.214.8100-45011617.2712217.5012817.7413317.9713918.1914518.41450-70011318.5011918.7412418.9713019.2013619.4214219.64700-100010819.6011419.8312020.0612520.2813120.5013720.72表9MC=370C=380C=390C=400C=410C=420410045016420.3617120.5917720.8118421.0319121.2519821.46450-70016021.8316622.0517322.2818022.4918622.7119322.92700-100015323.1415923.3616623.5817223.7917924.0018624.214.210045016119.8816720.1117420.3318020.5518720.7619420.9745070015721.2816321.5016921.7217621.9418322.1518922.35700-100015022.5215622.7416322.9616923.1717623.3818223.584.410045015719.4416419.6617019.8817620.0918320.3018920.51450-70015320.7716020.9916621.2117221.4217921.6218521.83700-100014821.9515422.1716022.3816622.5917322.7917923.004.610045015419.0216019.2416719.4617319.6717919.8718620.0845070015120.3015720.5116320.7216920.9317621.1418221.34700-100014521.4215121.6415721.8416422.0517022.2517622.454.810045015118.6315718.8516319.0617019.2717619.4718219.6745070014819.8515420.0616020.2716620.4817220.6817920.88700-100014320.9314921.1415521.3416121.5516721.7517321.94表10MC=430C=440C=450C=460C=470C=480410045020521.6821221.8821922.0922622.2923322.4924022.68450-70020023.1320723.3321423.5322123.7322823.9323524.12700-100019324.4119924.6220624.8121325.0122125.2022825.394.210045020021.1820721.3821421.5822121.7822821.9823522.1745070019622.5620322.7621022.9621723.1522423.3523123.54700-100018923.7819623.9820324.1821024.3721724.5622424.754.410045019620.7120322.9121021.1121621.3122321.5023021.69450-70019222.0319922.2320622.4221222.6221922.8122622.99700-100018623.1919223.3919923.5820623.7721323.9622024.144.610045019220.2819920.4820520.6721220.8621921.0522621.2445070018821.5419521.7320221.9220822.1121522.3022222.49700-100018322.6518922.8419623.0320223.2220923.4021623.584.810045018919.8719520.0620220.2620820.4521520.6322220.8245070018521.0719121.2719821.4620521.6421121.8321822.01700-100018022.1318622.3219222.5119922.7020622.8821223.06表11MC=490C=500C=510C=520C=530C=540410045024822.8725523.0626323.2527023.4427823.6228523.80450-70024324.3125024.5025724.6826524.8627325.0428025.22700-100023525.5824225.7625025.9525726.1226526.3027226.484.210045024222.3625022.5525722.7326422.9127223.0927923.2745070023823.7224523.9125224.0926024.2726724.4527424.62700-100023124.9323825.1124525.2925225.4726025.6426725.824.410045023721.8824522.0625222.2425922.4226622.6027422.78450-70023323.1824023.3624723.5425523.7226223.8926924.07700-100022724.3323424.5124124.6824824.8625525.0326225.204.610045023321.4224021.6124721.7825421.9626122.1426822.3145070022922.6723622.8524323.0325023.2025723.3726423.54700-100022323.7623023.9423724.1224424.2925124.4625824.634.810045022821.0023521.1824221.3524921.5325621.7026321.8745070022522.1923122.3723822.5424522.7225222.8925923.05700-100021923.2422623.4123323.5923923.7624623.9225324.09表12MC=550C=560C=570C=580C=590C=600410045029323.9530124.1530924.3331624.5032424.6733224.84450-70028825.4029525.5730325.7431125.9131926.0832726.24700-100028026.6528726.8229526.9930327.1631127.3231827.484.210045028723.4529423.6230223.7931023.9631824.1332524.2945070028224.8029024.9729725.1430525.3031325.4732025.63700-100027425.9928226.1629026.3229726.4930526.6531326.814.410045028122.9528823.1229623.2930323.4531123.6231923.78450-70027624.2428424.4029124.5729924.7430624.9031425.06700-100027025.3727725.5428425.7029225.8629926.0230726.184.610045027522.4828322.6529022.8229822.9830523.1431323.3045070027123.7127923.8828624.0429324.2130124.3730824.53700-100026524.7927224.9627925.1228725.2829425.4430225.604.810045027022.0427722.2128522.3729222.5329922.6930722.8545070026623.2227423.3828123.5528823.7129523.8730324.02700-100026024.2626824.4227524.5828224.7428924.8929725.05表13MC=250C=260C=270C=280C=290C=30051004508315.348815.599315.859816.1110316.3610916.68450-7008016.618516.879017.139517.3810117.6310617.87700-10007617.688117.948618.199118.449618.681