1 TA NGQC HAl BAITAP • NGUYEN LY MAy (In [tin thti co b6 sung va sua chiia) r T HL~!!-i'~t,! "f F:d6~~:~-Di-iSPi(T ~ tG;-'- C~2~;;NHA XUAT BAN KHOA HQC vA KY THU~T HA NQI- 2009 Ml)C Ll)C Loi noi ddu Chuang CAU TRUC 1.1 Xep loai khop dong van de can chii y vA XEP LOAI Cd CAU Bai tap giai san Bai tap cho dap so 1.2 Ve hrcc dong va tfnh bac nr cua CO" cau phang van de can chti y Bai tap giai san Bai tap cho dap so 1.3 Xep Ioai CO" cau phang van de can chu y Bai tap giai san Bai tap cho dap so Chuang PH AN TICH DONG HQC co CAU PHANG 2.1 Xac dinh vi trf va ve quy dao cac diem tren CO" cau phang Van de can chii y Bai tap giai san Bai tap cho dap so 2.2 Xac dinh van toe va gia tee cua CO" cau loai hai bang hoa vecto Van de can chu y Bai tap giai san Bai tap cho dap so 2.3 Xac dinh van roc va gia toe cua co cau loai hai bang phirong phap hinh hoc Van de can chu y Bai tap giai san Bai tap cho dap so 2.4 Xac dinh van toe va gia toe cua CO" cau loai ba Van de can chu y Bai tap giai san Bai tap cho dap so 2.5 Xac dinh van toe va gia tee cua CO" cau bang phirong phap tam van toe nrc thai Van de can chti y Bai tap giai san Bai tap cho dap so Chuang PHAN TICH r.uc TREN co CAU PHANG 3.1 Tinh luc quan tinh tren co cau Van de can chu y Bai tap giai san Bai tap cho dap so 3.2 Tfnh ap luc khop dong cua co cau va momen can bang tren khau dan Van de can chu y Bai tap giai san Bai tap cho dap so 3.3 Tfnh ap hrc khop dong cua CO" cau bang phan ILTC tnrc tiep Trang 7 7 II 11 11 15 18 18 19 22 26 26 26 26 29 30 30 3i 40 43 43 43 45 47 47 48 58 60 60 60 68 71 71 71 71 75 76 76 76 76 89 Van de can chu y Bai tap giai san Bai tap eho dap s6 Chuang CHUYEN DONG THl)t V A LAM DEU CHUYEN DONG THl!C CUA MAy Van de can chu y Bai tap giai san Bai t~p eho dap s6 Chuang MA SAT vA HIeU sUAT Van de can chu y , Bai tap giai san Bai tap cho dap s6 Chuang CAN BANG MA Y Van de can chu y Bai tap giai san Bai tap cho dap s6 Chuang Cd CAU BON KHAU PHANG Bai tap giai san Bai tap eho dap s6 Chuang co CAU BANH RANG PHANG Van de can chu y Bai tap giai san Bai tap eho dap s6 Chuang Cd CAU BANH RANG KHONG GIAN Van de can chii y Bai tap giai san Bai tap eho dap s6 Chuang 10 He BANH RANG Van de can chu y Bai tap giai san Bai tap eho dap s6 Chuang 11 co CAU CAM Van de can chu y Bai tap giai san Bai tap eho dap s6 Chuang 12 co CAU TAM rtcn Van de can chu y Bai tap giai san Bai tap eho dap s6 Chuang 13 MOT SO BAr TAP ON TAP TONG HQP Van de can chu y Bai tap giai san Bai tap eho dap s6 thi "Olympic Nguyen 19 may roan qu6e" Phiin dap so' eae hili tap Phdn phu luc Tai lieu tham khdo De 89 90 95 96 96 98 108 114 114 115 123 126 126 126 132 135 135 140 143 143 143 148 158 158 158 162 163 163 163 174 179 179 179 189 191 191 191 198 199 199 199 213 217 226 250 258 ClIOl1 "Bai tap nguyen If may" ndy la tai lieu hoc tap dung clto nganh co' khi: che'tao may, lIIelY chinh xdc, reu drip, oto, lIIay keo, dong co dot trong, may xdy dung, may 1710,may lwei chdr bien soan tlieo giao trinh " Nguyen Iy /I/(IY " Nlia xttd: bdn Dai h9C 1'd Trung hoc c!tuyen IIghi¢p xudt ban IIlIIII 1970 TOllII h9 CUOIIsdch gom 12 chuang, co 11 chuang la nhiing bai tap can thiet co troug gido trinh 1'd 17l9t chuang 011tc1p t6ng h9P, trinh hdy duoi dang 86 bai tap co loi gieli sdn va 170 bai t~IPchi cho dap so' Cdc ba! tdp dd duac co' gdng chon 191.'sao cho 1'lra sat voi 119idung giao trinh, vua la nhiing mo hinh co cdu may, nhiing thi du sat vai thuc te' ky thudt, M9t so' bai tap co the' hop lai 1/19fhai tdp Ion 1'(1 1719tso' khac da tranh flu! ket hap on tdp Iy thuye], ma khong chi don thudn ren luy¢n ky ruing tiuh toan thief ke: "Bai tap nguyen If may': eo the'dllng cho hoc sinh cae nganh kliong hoc guu: trinh nguyen Iy may- 1/1(/ hoc cae giao trinh "C(/ hoc utig dung", "C(/ h9C may", "C(/ ky thud!" Ngoai rei co the'dtlng him tai lieu thorn kluio cho cdc can 179ngliien cuu nion nguyen Iy may, ca [rng dung va can h9 ky tliuiit noi chung, TlIY dd eo' gdng nit kinh nghiem gidng da» va bien soan, nhung cluic clzdn eon co nhiing sai sat Ttic gid 1/10ngnhdn duac su gap y cua 1)(:lI1doc Tdc gio chdn thanli com on cac ban dong nghiep ccic B9 mon Nguyen Iy may, C(/ ung dung Truong Dai h9C Bach khoa Ha N9i, dijc hi¢t la Gs Nguyen X1Ian Lac da nhiet tinli gap nhffng y kien nit xcic dang qua trinh bien soan Lai noi du'u nhdn ldn tdi ban thu Ldn tdi ball lIay ide gid b6 sung them mot sodang bai tdp 1/((JlIgdOl't611ghap thedung de' kiem tra liodc thi sau h9C xong phdn Ij thuyet, VC:O chuang 12 co M!)t ldn niia xin cdm (JIIcac ban dong nghiet: va Nha xud; ball Ciao due, Ha noi, 1/(1m Tac gid 1994 Lai noi ddu nluin ldn tai ban tJILr Lan tdi bdnnay duac tlutc hi¢1I sail klii cac gido tiinli "(;lIg dung tin hoc thief kenguyen (, may" (1994) I'a "Nguyen Ij may" (1999) dd xudt bdn CIIlIg cde ban dOIlR nghiep - toe gid dd kiem tra lai 1I19tsv' bai tiip die' II liinh qua viec 1110phong nguyen Ij ca"l tao - d911g h9C - luc h9C C(JCall tren mdv till It I'a ugluetn lai kef qud 0- nliiing vi tri can thief clia phuoug pluip truyen thong hien hay Call duac dung pha' bih Cline: voi viec sl{a - lioan chlnli CUOIIsacli, tac gid Call bo sung them mot so'de' thi OLYMPIC C(J hoc wall quoc 1111111 1999 va 2000, Ity 1'911g co the'r9l1g duang tham khdo vai ban d9C quail tam nhieu toi 111911 h9C N gllyell Ij lIlay va Dac biet tdc gid to 10116cdm (JII SIt gutp da Clla cac ban dong nghiep va Nha xudt ball Khoa h9C troug Mil tai bdn nay, Ky thudt Ha 119i ndm 2000 Tac gid Lai noi ddu nhdn ldn tdi ban thu So vai sdcli tai ball Mil tlur tac gid them muc 2.5 "Xdc dinli Vijll toc va gia tdc clia C(JCall bang phuang phdp tdm vgll toe tuc thai" vao chuang Day la mot phuang phdp tuang do'i de hie/I ngan g911 h¢ thong va hi¢u qua khoug chi Vall de' phdn ticli d911g hoc co Call (tren C(Jsd thalli khdo [31 [61 [7/ [8/ [13J clui yeu la cac cong triuli khoa hoc clia cac nha khoa h9C /11(&) Ngoai ra, Call 1I19tso' ba' sung vao chuang va 12 tac gid hy v911gse lam clio CIIOII sdch phong phu va SOl/ sdc lion M91 Mil 11/('] xin calli (JII cac ban dong IIghi¢p dd giup da va khl/yell khicli tdc gid cllllye'll hod 119i dung nghieu d(1I vao gidng day, cdm (JII Nha xudt ball Khoa h9C va Ky tluuit Mil xudt bdn uay Hd noi, nOI1l 2002 Tdc gid Lai noi ddu nhdn ldn tdi ban thu tai ball tac gid them 1Il(IC 3.3 'Tinh dp luc kluip d911g bdng phuang pluip phdn II.(c true oj vao chuang 12 vai 1I10llg IIlUOII cung cap f/leIl1I1I11(lIg phuang pluip nghien cuu vi!' luc cho tuang xung vai phuong pluip pluin ticli d911gh9C C(JCall UII tiep" va ciing b6' sung 119idung (111 XiII cluin cdm (JII Nha giao Nhdn ddn GS TS Nguyen Xudn Lac dd dong vien gop j cdm Nha xud! ball Khoa h9C va Ky thudt, Ha 119i ndtn 2005 Tac gid Lai noi ddu nhdn ldn tdi ban thu Ngoai viec Sl(a liinh ve- clio thong nluit toan sdch (II1/fC 3.3 va 1I19t vai liinh 0-chuang 12 ldn xudt ball tlllt va 8), tac gid them chuang 12: "Ca cdu tam tich " vao truac chuang 13: "M9t so' bai tap Oil tap 10'lIg hop" de' lry v911gco tlte" r911g duang tham khdo 110'11 vai ban d9C va sinh vien quail tdni M9t so' ca call tdm ticli na» dd duoc Nha gido nluin ddn - Giao su Nguyen Xudn Lac the' liien qua cac phdm mem: Solid Words 2007 Working Modern 2005 va Geogebra XiII trail Ir911g cdm (JII Gido su va Nha Xuai bdn Kltoa h9C va Ky tluuit kin tai bdn n» N9i tluuig 11 ndm 2008 Tae gid NHA GIA.o UlJ T1J PGS T A NGQC HAl TAl LIl!:U THAM KHAo [1] Dinh Gia Turing Nguyen Xudn Lac, Trdn Dodn'Tien: h9C va Trung h9C chuyen nghiep - 1970 [2] Ta Ngoc Hdi: Bai tap nguyen Iy may, Dai h9C Bach khoa Ha Noi - 1965 [3] Nguyen Xuan Lac: Giao trinh nguyen Iy may chuyen nghiep, Dai h9C Bach khoa Ha Noi - 1971 [4] Dinli Gia TWYng, Ta Khan" Lam: Nguyen Nguyen ly may, NXB Dai ly may, NXB Khoa h9C va Ky thuat - 1999 [5] Ta Ngoc Hdi, Phan Van Dong: Nguyen Iy may, Khoa tai chtrc Dai h9C Bach khoa Ha Noi - 1990 Cong trinh khoa h9C ky niem 40 va 45 nam lap tnrong Dai h9C Bach khoa Ha Noi, 1996 va 2001 [6] Ta Ngoc Hdi, Phan Van Dong: [7] Hoi Co' h9C Viet Nam: OLYMPIC Co h9C roan quoc litn tlur XI - 1999 va Ian thir XII - 2000 Xudn Lac: Luan an tien 51, Dai h9C Bach khoa Ha Noi - 1976 [8] Nguyen [9] H6 Trong Tue: Luan an tien 51, Dai h9C Xay dung Ha Noi - 1979 [10] 11.11.Apmotioneecruu: "C60pHHK 3anaLJ no reopnn MexaHH3MOB H MawHH" 113n "TexHHKo TeOpeTHLJeCKOH JIHTepaTYbl" Mocxsa, 1995, 1998 [11] E.C Beseeceu.nuic "C60PHHK aanas H 3anaHHH MawHH" J;13n "Xapsxoacxoro YHHBepCHTeTa", 1958 [12] E.C Beseecensnuic: "Kypcosoe npoexruposamre no npasrepax" Hsn "Xapsxoacxoro YHHBepcHTeTa", 1960 [13] H.H EYX20JlbY: no reopau reopnn "OCHOBOH KYPC TeOpeTHLJeCKOH MexaHHKH" MexaHH3MOB H H MaWHH B 113n "HaYKa", MOCKBa, 1960 [14] F.A Cuupnoea: "Mexaiurxa MawHH" 113n "Bucmas WKOJIa", Mocxsa, 1996 257 Chju trdch nhiem xudt ban: TS PHAM VAN DIEN Bien tdp: NGOC KHUE Ve bia: TRJNH TIEN HUNG NHA XUAT BAN KHOA HOC vA KY THUAT 70 Tr~n Hung £)?o- Ha NQi In 700 cuen, kh6 sach 16 x 24 tai XL10ngin NXB Van hoa Dan t9C 86 dang ky KHXB: 209-2009/ CXB / 539 -10 / KHKT cap nqay 18/3/2009 Quy~t djnh xu~t ban sb: 50 I QDXB- NXB KH&KT, dp 25/3/2009 In xang va n9P hru chieu quy 21 2009