习题0-1R10系列:2503154005006308001000125016002000250031502孔或轴最大极限尺寸最小极限尺寸上偏差下偏差公差尺寸标注孔:109.9859.97-0.015-0.030.015孔:1818.01818+0.01800.018孔:3030.01229.991+0.012-0.0090.021轴:4039.9539.888-0.050-0.1120.062轴:6060.04160.011+0.041+0.0110.030轴:858584.9780-0.0220.022018.0018015.003.010012.0009.03005.0112.040041.0011.0600022.085习题1-1填表习题1-20+-ø20孔轴+0.033-0.065-0.0980+-ø55孔+0.030轴+0.060+0.0410+-ø35孔+0.007轴-0.018-0.016(1)间隙配合Xmax=ES-ei=+0.033-(-0.098)=+0.131mmXmin=EI-es=0-(-0.065)=+0.065mmTf=︱Xmax-Xmin︱=︱0.131-0.065︱=0.066mm(2)过渡配合Xmax=ES-ei=0.007+0.016=+0.023mmYmax=EI-es=-0.018mmTf=︱Xmax—Ymax︱=︱+0.023-(-0.018)︱=0.041mm(3)过盈配合Ymax=EI-es=0-(+0.060)=-0.060mmYmin=ES-ei=+0.03-(+0.041)=-0.011mmTf=︱min-max︱=︱-0.011-(-0.060)︱=0.049mm8d820H6h735K6r755H习题1-30+-ø50孔轴+0.039-0.025-0.0500+-ø80孔+0.01轴+0.13-0.120+-ø30孔+0.006轴-0.015-0.013(1)基孔制间隙配合Xmax=0.089mmXmin=0.025mmTf=0.064mm(2)基轴制过渡配合Xmax=+0.019mmYmax=-0.015mmTf=0.034mm(3)基轴制间隙配合Xmax=+0.25mmXmin=+0.01mmTf=0.24mm)(7)(850025.005.0039.00fH)(6)(7300013.0006.0015.0hK)(10)(1080012.013.001.0hG习题1-30+-ø180孔+0.04轴+0.235+0.210+-ø18孔-0.004轴-0.015-0.008(4)基孔制过盈配合(6)基轴制过渡配合Xmax=+0.004mmYmax=-0.015mmTf=0.019mm(5)基孔制过盈配合Ymax=-0.235mmYmin=-0.17mmTf=0.065mm)(8)(8140126.0063.0063.00rH)(5)(6180008.0004.0015.0hM)(6)(7180235.021.004.00uH0+-ø140孔+0.063轴+0.126Ymax=-0.126mmYmin=0mmTf=0.126mm习题1-4(1))(9)(9600074.0174.01.0hD9960dH(2))(6)(750018.0002.0025.00kH6750hK(3))(7)(8250021.0053.002.0hF7825fH(4))(6)(730048.0035.0021.00sH6730hS(5))(6)(7800019.0091.0121.0hU6780uH(6))(5)(6180008.0004.0015.0hM5618mH习题1-5(1)解:①选择基准制。无特殊要求,选择基孔制,孔的基本偏差代号为H,EI=0。dDfTTmXXT662086minmax②确定公差等级。假设孔、轴同级,TD=Td=Tf/2=33m查表1-8.孔轴公差等级均为IT8之间,IT8=33m.③选择配合种类确定轴的基本偏差轴0+-ø25孔+0.033由于间隙配合,轴的基本偏差为es。由于Xmin=EI-eses=EI-Xmin=0-0.020=-0.020mm基孔制,孔为H8,EI=0,ES=EI+TD=0.033mm即)(825033.00H)(8825020.0053.0033.00fH查表1-10得:轴的基本偏差代号为f,es=-0.020mmei=es-Td=-0.020-0.033=-0.053mm即)(825020.0053.0f配合为8/825fH④验算:mmesEIXmmeiESX020.0020.00086.0053.0033.0minmax满足要求。习题1-5(2)解:①选择基准制。无特殊要求,选择基孔制,孔的基本偏差代号为H,EI=0。dDfTTmYYT413576minmax②确定公差等级。查表1-8.IT6=16m.IT7=25m.③选择配合种类确定轴的基本偏差轴0+-ø25孔+0.025由于过盈配合,轴的基本偏差为ei。由于Ymin=ES-eiei=ES-Ymin=0.025+0.035=+0.060mm基孔制,孔为H7,EI=0,ES=EI+TD=0.025mm即)(740025.00H根据工艺等价原则,孔取IT7,轴取IT6。查表1-10得:轴的基本偏差代号为u,ei=+0.060mmes=ei+Td=0.060+0.016=0.076mm即)(640076.0060.0u配合为6/740uH④验算:mmesEIYmmeiESY076.0076.00035.0060.0025.0maxmin满足要求。)(6740076.0060.0025.00uH习题1-5(3)解:①选择基准制。无特殊要求,选择基孔制,孔的基本偏差代号为H,EI=0。dDfTTmYXT763244maxmax②确定公差等级。查表1-8.IT8=46m.IT7=30m.③选择配合种类确定轴的基本偏差轴0+-ø25孔+0.046由于过渡配合以及极限间隙过盈值,得出轴的基本偏差为ei。由于Xmax=ES-eiei=ES-Xmax=0.046-0.044=+0.002mm基孔制,孔为H8,EI=0,ES=EI+TD=0.046mm即)(860046.00H根据工艺等价原则,孔取IT8,轴取IT7。查表1-10得:轴的基本偏差代号为k,ei=+0.002mmes=ei+Td=0.002+0.030=0.032mm即)(760032.0002.0k配合为7/860kH④验算:mmesEIYmmeiESX032.0032.00044.0002.0046.0maxmax满足要求。)(7860032.0002.0046.00kH习题1-6通过查表1-8得知:d1=100mm,Td1=35m的轴为IT7级;d2=10mm,Td2=22m的轴为IT8级;由于精度等级越高加工难度越大,因此d2=10mm,Td2=22m的轴加工更容易。习题2-1试从83块一套的量块中,同时组合下列尺寸:29.875,48.98,40.79,10.56?29.875:1.005/1.37/7.5/2048.98:1.48/7.5/4040.79:1.29/9.5/3010.56:1.06/9.5应尽量减少量块组的量块数目。习题2-2mmlL998.19002.020仪器读数在20mm处的示值误差为+0.002mm,当用它测量工件时,读数正好是20mm,问工件的实际尺寸是多少?习题2-3mnSi464.112mmx741.30弦长L=95mm,弓高h=30mm,UL=2.5m,Uh=2mmmhhLD21.105303049542258.130495242hLLD51.10.1304950.142222hLhD习题2-7mUhDULDUhLD97.4251.15.258.122222222习题2-81212/d2/dLL①:mULULULUL33.66601405.0405.0Ldd22222222122221d21112d2/d-2/d-212LL②:mULULULUL5.75701405.0405.0Ldd22222222222221d21222d习题2-82/L2/L21L③:mULULUL1.46701601LL222222221L2132由于U2U1U3所以第三种方案最优。习题2-9)(92000115.0h查表2-7:A=12mu1=10m上验收极限=200-0.012=199.988mm下验收极限=200-0.115+0.012=199.897mm设工件尺寸为200h9,试按《光滑工件尺寸的检验》标准选择计量器具,并确定检验极限。选用分度值为0.01的外径千分尺u=0.0070.01。3-3第3章几何公差及检测圆锥面圆度公差0.006;圆锥面直线度公差0.002(+);圆锥面的斜向圆跳动公差0.012;左端面相对于孔轴线基准B的垂直度公差0.015;右端面相对于左端面基准的平行度公差0.005;内孔素线相对于孔轴线基准B的平行度公差0.01;3-4a:端面相对于基准轴线A的垂直度公差0.05;公差带定义是与基准轴线A垂直距离为0.05的两个平行平面之间的区域;b:端面相对于基准轴线A的端面圆跳动公差0.05;公差带定义是与基准轴线A同轴的任一直径位置的测量圆柱面上距离为0.05的两圆之间的区域;c:端面相对于基准轴线A的端面全跳动公差0.05;公差带定义是与基准轴线A垂直距离为0.05的两个平行平面之间的区域;3-6.3-7.3-8.3-9.3-11.公差原则中,独立原则和相关要求的主要区别何在?包容要求和最大实体要求有何异同?独立原则中尺寸公差和形位公差相互无关;相关要求中尺寸公差和形位公差相互有关。包容要求和最大实体要求都是相关要求,包容要求遵循最大实体边界,仅用于形状公差;最大实体要求遵循最大实体实效边界。图例采用的公差原则遵守的理想边界边界尺寸给定的垂直度公差允许的最大垂直度误差a最大实体要求的零几何公差最大实体边界2000.13b可逆的最大实体要求最大实体实效边界19.950.050.18b最小实体要求最小实体实效边界20.180.050.18c独立原则————————0.050.053-12习题5-1)(750025.00HT=2.4Z=2.8)(650025.0041.0fT=3Z=4-41TZ-29-38.6-26.60ø50+-+25T+2.5+5.5Z+22-25H7f6TTTSZT-26.2-27.8-39.8习题5-3025.0050.0039.007850fH孔合格条件:mm039.50mm50afeDD轴合格条件:mm95.49mm975.49afedd习题6-3001.00008.09050Dd5级210P137表6-2,6-3)(690)(550016.0006.00055.00055.0JDjsd表1-8,1-10,1-110+-ø50轴孔+5.5-8-5.50+-ø90孔