空心轴的设计计算

按最大扭矩计算轴的扭转强度d(mm)扭矩T（N.m）轴外径D（mm）轴内径d（mm）轴颈系数α剪切应力τp常数59.92570080700.8754017.254.34660090700.7783017.261.34280060550.9176017.2α^41-α^4(1-α^4)1/31/((1-α^4)^1/3)700/40(700/40)1/317.2*(700/40)1/30.58618164060.41381835940.74519497581.341930679117.52.596247050944.65544927590.36595031250.63404968750.85909481451.1640158725202.714417616646.68798300540.70606674380.29393325620.66488965411.504008964213.33333333332.37126220340.7857098915按最大功率、最高转速计算轴的扭转强度d(mm)功率P（KW）轴外径D（mm）轴内径d（mm）轴颈系数α剪切应力τpA和〔τp〕有关的系数转速N（r/min36.54811080700.87540106.081650055.31411080700.87530116.757250031.92711080700.8756092.67065000.58618164060.41381835940.74519497581.34193067910.01692307690.25673974740.58618164060.41381835940.74519497581.34193067910.0440.35303483350.58618164060.41381835940.74519497581.34193067910.01692307690.2567397474校核轴承处轴颈校核结果1校核结果2160合格合格260合格合格350不合格合格按最大扭矩计算轴的扭转刚度d(mm)扭矩T（N.m）轴外径D（mm）轴内径d（mm）轴颈系数α剪切应力τpΦp（每米轴长允许的转角）常数常数80.35370080700.875400.303573509.380.35370080700.875400.303573509.380.35370080700.875400.303573509.3α^41-α^4D^40.58618164060.4138183594409600001695000051450006.92979824771.24680220410.58618164060.4138183594409600001695000051450006.92979824771.24680220410.58618164060.4138183594409600001695000051450006.92979824771.2468022041按最大功率、最高转速计算轴的扭转刚度d(mm)功率P（KW）轴外径D（mm）轴内径d（mm）轴颈系数αB(按剪切弹性模量查）转速N（r/min58.01111080700.875129650056.94611080700.875129700058.01111080700.87512965001.24680.58618164060.41381835940.80205183850.01692307690.36067814891.24680.58618164060.41381835940.80205183850.01571428570.35405738821.24680.58618164060.41381835940.80205183850.01692307690.3606781489校核轴承处轴颈校核结果1校核结果2160不合格合格260不合格合格350不合格不合格轴的偏转角校核QA（rad）扭矩T（N.m）轴外径D（mm）轴内径d（mm）轴颈系数αX空心轴长（mm）d轴承轴颈（mm）L轴承中心距（mm）M力矩（N.m）0.000593970080700.875150060208514595000000.000593970080700.875150060208514595000000.000593970080700.87515006020851459500000D^4409600006000024576000000000.0005938721409600006000024576000000000.0005938721409600006000024576000000000.0005938721校核校核结果品种允许值（rad）1合格向心球轴承0.0052合格圆锥滚子轴承0.00253合格调心轴承0.05轴的挠度校核（假设危险截面在空心轴的中心）yX（计算挠度）mmQA（rad）X（空心轴一半）L（轴承中心）允许挠度（mm）校核0.000390.0005975020850.00030.00050.0004合格0.000390.0005975020850.00030.00050.0004合格0.000390.0005975020850.00030.00050.0004合格0.445400.359710.129390.870610.38777193580.8710.1290.445400.359710.129390.870610.38777193580.8710.1290.445400.359710.129390.870610.38777193580.8710.129辊筒的一阶临界转速校核Nc1(r/min)常数λ1（支座结构系数）E（弹性模量）MpaI（惯性矩）mm^4L（辊筒长度）mmWo（辊筒自重）ND（辊筒外径）mmD1（辊筒内径）mm校核使用转速0.75Nc14380.71994615.06206000832031.1820852008070OK26003285.544380.71994615.06206000832031.1820852008070OK26003285.544380.71994615.06206000832031.1820852008070OK26003285.540.09454937194096000024010000169500003.14264832031.18171398422945.929906396412518127928250000.30748881590.09454937194096000024010000169500003.14264832031.18171398422945.929906396412518127928250000.30748881590.09454937194096000024010000169500003.14264832031.18171398422945.929906396412518127928250000.3074888159轴的一阶临界转速校核Nc1(r/min)常数λ1（支座结构系数）E（弹性模量）MpaI（惯性矩）mm^4L（辊筒长度）mmWo（轴自重）ND（轴外径）mmD1（轴内径）mm校核使用转速0.75Nc18206.5494611.5206000636172.511210130600OK26006154.918206.5494611.5206000636172.511210130600OK26006154.918206.5494611.5206000636172.511210130600OK26006154.91129600003.14264131051537544.49817715610002303029300000.570.75129600003.14264131051537544.49817715610002303029300000.570.75129600003.14264131051537544.49817715610002303029300000.570.75#REF!#REF!#REF!#REF!#REF!#REF!#REF!0.00000#DIV/0!#DIV/0!#DIV/0!#DIV/0!#DIV/0!#DIV/0!0.00000#DIV/0!#DIV/0!#DIV/0!#DIV/0!#DIV/0!#DIV/0!轴常用的几种材料〔τp〕和A值轴的材料Q235、204540CrMn.38SiMnMo1Cr18Ni9Ti〔τp〕/Mpa12～2030～4040～5015～25A100～135118～107107～98148～125