>> P.310
3-16예1의조건일때의수명시간과정적안전계수를산출합니다.또한하중계수fW는1.5로가정합니다.슬라이드유닛에작용하는하중의산출부하하중및테이블질량에따라리니어웨이에는다음과같은각좌표축주변의모멘트가발생합니다.Mr=Σ(FYZ)+Σ(FZY)=FY1Z1+FZ1Y1+m1gY2+m2gY3=2000×83+1000×50+10×9.8×0+10×9.8×80≒224000Mp=Σ{FX(Z-Zd)}+Σ(FZX)=FX1(Z1-Zd)+FZ1X1+m1gX2+m2gX3=000×(83-10)+1000×60+10×9.8×0+10×9.8×75≒140000My=-Σ{FX(Y-Yd)}+Σ(FYX)=-FX1(Y1-Yd)+FY1X1=-1000×(50-150)+2000×60=220000여기서Mr:롤링방향모멘트N·mmMp:피칭방향모멘트N·mmMy:요잉방향모멘트N·mm각슬라이드유닛에작용하는하중은3-11페이지의표6.4에따라산출됩니다.정격수명의산출상하방향하중및횡방향하중을3-7페이지의(6)식및(7)식에따라산출합니다.Fre1=kr│Fr1│=1×1750=1750Fre2=kr│Fr2│=1×346=346Fre3=kr│Fr3│=1×252=252Fre4=kr│Fr4│=1×1150=1150Fae1=ka│Fa1│=1×1600=1600Fae2=ka│Fa2│=1×600=600Fae3=ka│Fa3│=1×1600=1600Fae4=ka│Fa4│=1×600=600여기서kr,ka:하중방향에따른환산계수(3-7페이지의표3참조)3-7페이지의(10)식에따라동등가하중을산출합니다.P1=X│Fre1│+Y│Fae1│=1×1750+0.6×1600=2710P2=X│Fre2│+Y│Fae2│=0.6×346+1×600≒808P3=X│Fre3│+Y│Fae3│=0.6×252+1×1600≒1750P4=X│Fre4│+Y│Fae4│=1×1150+0.6×600=1510동등가하중이가장큰슬라이드유닛1의정격수명을구합니다.정격수명은3-6페이지의(1)식에하중계수fw(3-6페이지의표1참조)를고려하여산출합니다.L1=50(C—fWP1)3=50×(18100—1.5×2710)3≒4410Lh1=106L1—2Sn1×60=106×4410—2×100×5×60≒73500이상에따라수명시간은약73500시간이됩니다.정적안전계수의산출상하방향하중및횡방향하중에서3-8페이지의(11)식에따라정등가하중을산출합니다.P01=k0r│Fr1│+k0a│Fa1│=1×1750+1×1600=3350P02=k0r│Fr2│+k0a│Fa2│=1×346+1×600=946P03=k0r│Fr3│+k0a│Fa3│=1×252+1×1600=1852P04=k0r│Fr4│+k0a│Fa4│=1×1150+1×600=1750여기서k0r,k0a:하중방향에따른환산계수(3-8페이지의표5참조)정등가하중이가장큰슬라이드유닛1의정적안전계수를구합니다.정적안전계수는3-6페이지의(4)식으로산출합니다.fs1=C0—P01=21100—3350≒6.3이상에따라정적안전계수는약6.3이됩니다.Fr1=ΣFZ—4+Mr—2L+Mp—2ℓ=FZ1+m1g+m2g—4+Mr—2L+Mp—2ℓ=1000+10×9.8+10×9.8——4+224000—2×150+140000—2×100≒1750Fr2=ΣFZ—4+Mr—2L-Mp—2ℓ=FZ1+m1g+m2g—4+Mr—2L-Mp—2ℓ≒346Fr3=ΣFZ—4-Mr—2L+Mp—2ℓ=FZ1+m1g+m2g—4-Mr—2L+Mp—2ℓ≒252Fr4=ΣFZ—4-Mr—2L-Mp—2ℓ=FZ1+m1g+m2g—4-Mr—2L-Mp—2ℓ≒-1150Fa1=Fa3=ΣFY—4+My—2ℓ=FY1—4+My—2ℓ=2000—4+220000—2×100=1600Fa2=Fa4=ΣFY—4-My—2ℓ=FY1—4-My—2ℓ=-600
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