Ngân hàng dề thi cơ học lý thuyết đặng thanh tân

DAN( I HANH TAN NGAN HANG DE THI COõ H(_)C LY TEYUHT 'rp H6 Chi Minh 03 - A DANG THANH TAN NGAN (: H(_)C LY Tp BE HANG H5 Chi THI T1-IUYET Minh 03 - â , v RU 6c) dinh Ngùơ _ hùơ ng mi: c0 L? TuuYùơT n aâ TAN f TRUõ DAI O'NG SUõ HOC PHAM co BANG THANH KY hqc 1 n dung y KHOA: Xâ dung vâ gmU THUAT BO MON: Hoc 1Mâ C0 COõ LY THUYET M5 mbn l tao : Dai hqc Câ c nbi n dung - ân kâ t n luc ùơ'~ lvâ ri diâ m vâ phùơ va ; t6i kiâ thùơ dung xong a - N65 n kâ t \ A DIEU KIEN ' u_ thiâ mâsinh nâm vfrng n u, rc HE hqc chu-ovng : õ mu HE LUõC HOC) c CDA BANG sau dâ Chuorng 1(TTNH cAu db o _.Trinh S6 DVHTI ' 1101211IcQh viâ Liâ 1- Momen ơùc a luc dâ vdi truc - ibd luc Ngiu " ' ' vb ng5ulvc - Binh I9 momen dâ - Thu  ri Iw1' m-Thu luc rm} hâ ! tâ vâ - aw Biâ i giâ n tâ dang vâ ukiâncanbinqcia mùơ Dang ! ' o |l,rc: h fhUm _ bii thâ ơlurc ù8 litban $B b- $ - ' Tim vâ vecto nchinh em o m vector Thu < chinh dang tâ i giâ â-v n tban câ i n- b ng o, Bâ i Bâ hâ cul an Bâ i tâan phing var I - an khbng tâ c _ muc gian O Bâ tiâ i ât Nhd _ tiâ hdijggi Câ u dâ nh giâ vâ õ chuwng NQI dung Stt Dgnggiu I9: u KTra h6i ggri " 01 chinh gn a d - Vector ùơ can bang chinh I_-_O Câ MD = mi n: vâ g_ we use n giâ _ _- ằ I 1õ C_â c hâ dang - 3- ( nemom Q # câ n b-M c pùơ uomg trinh R, = I111 hi l l\ awn; õ"9 ' 1'dng ngĐ we M; = 0, 1?õ: )~ (173 l|_! u vdi H6: c l\ c6 " ( )~ 1-õ Rn = = Mc- hqp cr_h câ = u hâ ' 51.1? / k 4- Mo = = '\' I CU LY g an -1 DANG THANH TI-IUYWET hâ ng dlâ -lhi: Ngan N AT I u Haâ Dinh | yd cul (F'.< ~ Fõ * F"'> P, 17" _ Vâ n Câcphu-orng bâ ng dung o câ trinh A -1 a mi)! dâ cùơ âh tâ tinh hqc dang MC i bâ na iâ õ - Câ c = ZX, 2Y.= < ~ giâ i = R, O V0 -R: = i giâ n Fl! n B1 õF = , -M = Zm_(ùơ ) , > -~ -12250 , A # -M_, = Zm, , " ( M: Zm: _(F)= Phâ tich Tim câ c phân luc liâ 'o : a O ng h, " => dung vâo lug âv t râ n câ n Hâ o n kâ t? câ Phâh tich n âiJcul rc tâ dung c ' c c - n )= bâ t câ Dâ phâ kâ t man Viâ câc phu'crng c_hohâ um; tâ dung _c ng twang Ong V oGiâ aâ i gnrokâ wquâ lp trinh -Tim t O âaa _ n ri câ ng " hqp dâ hing _c5u õ n bâ ng momen sâ õ So Ar - Qgin hâi vi dip n chi â tiâ t chuovng TT Lqai Nâ i dungm trinh câ nh 1 _-_._ Bâl cm âh gem c l1_rc la mm hinh câ 1> ,1> ,1> , , , 13 dung lic lâ lap phudng hinh n 6c vâ Thu gqn hf:h_r lrâ n vâ A ~ , , . L kN- XL c â H l1_!c vâ thu niy cqdd hqp lyre yah hâ b l xoin E f -m=O.3m a = 30ằ 10 P, D canh ._.-ằ phu'o'ng õOS Tùơ _ -i nh, o âr = dung trinh cân vâ vâ t Tim bing u u t n ơùb Z Pằ: kN ~ kN; = P, kN; _P,= n õ i l-Thu gon â 'T BANG _Ic trâ THANH TAN hâ l\ vâ bâ -XX R õ _ n TuuYi: A p LY n Bâ cd ma; ~ hang aâ P , Ngin K: õ/ X- , + = 4+ P, c0s45 õlI 2õ= H,76KN; 'R, = 3= kN = 1,76)õ -gsan45 -P, = Z2, : = /{ (1 R, R -11,16 R2õ , 10kN , = ZYK.= P, + -4-uõ õ01 + (| 1,76)õ KN MI: -aP2= 9,4 l LMy ,2 -[ , = \ i _ = aP, Zm, _+ (17,)= + aP, -% -E 0,3(P, = - Vâ y } 2-m, = I-õ ii] ,=-0,3.4= -1,2 kNm )=-a1> =A I M, (1-õ _ -} = 0,3[4+ , ?1-" Ra./ 12, R, , _M, , h_! thu du'qc I :M R c nâ Hâ y R, M, , vâ = + + hâ lqc thu âxfcdud = +)2,1-167,11 xoĐ 3,52 Z n a3 aiâm M, , # )(-1,2)= Hâ 31q 35,2 = )aau@ (P, F,,17"_, , a _ aeõ u um vâ mm ' q mm chiâ B, hinh vâ Tim diâ kiâ luc Va c A, hâ OA= OB=OC= hâ õ - ' câ kNm R; = + (-11,76 n u um õ 10.3,52 ằ = thu ngĐ 1ằ nm aiâ u kiâ uht n 16 < âv mâ 2- Bâ i2 R F: B F L õ A - C F _ x B âi \ s pâ Bâ Z; (F1'E)'õ 2Y= ? n R Z; :, Đ (F:_F1)õ õ õ 't bâ iz XX= & Z: "F1)ig- R, (F; = -i, _3[ < õ1~ 3> B -F.> F] ; Zrr1õ(Fl)= < - + um t _7+ FĐ < -F1)/ F, hC A.B, i ca L1? Ngùơ n hang as mi: 2'T ĐalQo= ' " õ BANG Tnmn 0; - a i õ X TAN m_uY| H30 õ kien de Bieu ve õ thu luc he tom ngâ u Iuc n Chi câ F3 b m dua thâ diâ u kiâ h: = -gig gud: Rằ 1'â , '= n Diâ u kiâ dâ = > F1= F; = âh luc thu vâ mât luc Chi câ n dua ằ , X thâ m diâ u ; xi-Ê luc Ra= Bâi Cho ke'1 câ c6 liâ n V õ vi chin nhu' hnih vâ c dinh a A 4qa ' 'u ' âik Xâ  we phin ma ? c câ n âil n kâ ;mc ri: 01E > : = 2qa, = M L qaz , ' q P - P Za Hâ hfc lzic A, lĐ, , l_Đ } _õ ,M > RB (F) Dâ lAB; RB.3a - â n p q; - CB: 2M P.5a_- = R.2a DE= I i bâ 155 3~~ ~ ằ _\ _L i õ P+ mRB= -õ R+ Q Bâ \ Cho hâ = 4qa =yFE > hinh vâ lhanh AB rizfmg Q = 2kN ; RB-Põ = lhanh nùơ BE lhanh nhd 0: R, =0 \ A Em, O \ RA= : g5m: (IĐ c õ F2 1! F3 -= 3a B =) () dung qP Mâ R RA -R+ F11! Zal ( Ra , 3aõ B , M A * âK ng P 4kN = \ A Ngin himg aâ Bâ c0 mi: LY TnuYE'T BANG THAN!-l TAN p â n bâ [ i % DV D õ R Xx, " 1õ B171 ~ E A B P C ' 1õ AX , Y, B Q - XâtthanhAB, _c5nbĐ ng: (Q, 2, , -17,, 1? ,71 AB , 5/ J50 D3! = lrinh lâ gi phudng a, ' â c ' + ' n bing: =XZ Xg = ZY=0: O= > XA : ằ +Q YA+ Ya + = N 0" 0: : > ZmA= -; f'Q Ta ~ tsanglhanhQBE: ( xâ F-õ = + Đ aN, = aYB N, )Đ Bat BE b Lip gndrnbingz uhp , A-1, 77; , trinh cùơ > -X5-N| > Sina= õ =YZ : XX= 0: , 0= > õ-P- Y'; + NDc0sc1= ' ZmB= 0: > - Đ % osaP+ Đ ,Na , =0 Chuy: Y = , = = - l2KN, XB= Xg5= YBKùơ lggâ : ND X3 -l,5'kN.Yg 2,5kN qN = 2, 5.25 i5 - dùơ o ' n d6 ) I5 bin Iâ Dùơ u D treovii ng nâ P B6 = = (2 u " nhd EF _CD m õ.N K L5 KN, ngùơ Bâ X, \ diiu A va nghiâ ng =0 Cm vâ nâ Y, \ = O,7SKN , â AB 5; lâ vb vdi e61 bùơ nùơ n nâ bin B duqc iiâ i kâ i m ngang vdi Dzim n '1a c6! ,d5m, lhanh cho: AE = BC = BF :; - FD = a EB aT m phzin luc lai vi A > Y E 1v czid l\ !_ c gnoru h5 iql B, qua lrgng hrqng c\ .-6;' õ'1.7A.~ õ1 1"\1"0,5-ti A1 Ngin hing aâ co ma; LY Tnuvii'r 9,5õ ; THANõ i n ~ TAN âD p â Y, ~ C - % B SEF õ ,4 " '1 D " ; õ _ ' õ bâ E I3 ,Y = 60 A\ X8, F= 03Yg.3+ a , 17, bùơ ng cùơ I3)~ , Đ Ê , DC a Xâ l cin lhgnh Hâ h_Ic c lâ dung ZI'ùơ ( r P.23= -'0I> Y5=-2Põ P.3a sin30- = : > SEp= :2 A ZmB= O 6P ,V = g6m õ Xằ M, SE| SEFCOS30= 0DX5+ zX= =BX3)( -iSEF -5! czin bing cùơ v : lg-56F: -3õ t : 3P Xâ , / a lhanh AB , MA Xj, , Sg, MA)~ EmA(F) = Sõ E|= , 03n is EA + X'B.AB.siùơ 60 - Y'B.AB.cos6O d1_1ng.g6mfXA, X, Y; = h_rc Hâ uic + =XE \ = O, XY = O Z7 Y'5+ STEpSil\ = YB =~ ;SEF=6P; MA = -*A_4Pa; xA= ; YA - - => YA 2P = YA ' = P / 51> Xg -3õ KEigmi: ; = P ihG : : 3O > -Sõ E|= cos3O= X, 1ằ ; ; \ -Xõ ~ = 02X, chùơ bang -V õ õ s Baas L phprdng a rs n z co meõ phùơ p hâ giii õ I õ v K ' v Hai DE E_F â v FC bâ ban tai ng banle ngâ i m tai A Hâ thanh_chiutâ vâ kich thuârc nhu hinh â v âX c âhp dinh luc A, E vâ r'c G'n'g'| tai i, kâ vâ n liâ noi t c6 n AB vâ le i AB bang vc'ri hnahT noi CF 60 / gâ Ngùơ co LY hingaâ ma; n 'muYE"r ! BANG THAN} NAT bâ i n p Dâ \ - I-i - % > = > -õ Ê â N.-â > |4- i-3| P= O B F531 õ I õ 5% ' % Q _ MA X Hâ rin ~õ (X, Y, d6 Trong Q, P)~ , ,M, , : : , a G Q= ZX= O 4ql= 2P XA + = YA Q > 20 = ZY= -P= 0: ZmA= O > 4lP= , ED= (X', Đ , , ? , -Ql2-AM =)P fQmI~ JĐ =x2 0= xE+ s = L 2X= O: YE+ Sõ = () Emg= O: -i 8Pl ; S= Yg= = 4a, trQng.1u'< _$ng ng l_88P Bâ -P/ AC= 2a, d khùơ i Hai AB g n i n -4/3P ; ; ; _õ iằ P õ Yd D \ Kâ ? gua": XA= -2P MA= YA= P ~ =gX c d ng ghâp cùơ vâi (ngâ kâ m) A v5 s b u d ' rc phâ l1, ! l wdng ngang Tai gifra C Biâ cim sâ u vâo z i v Q Tlm Ci1 _z (ngim) thing gâc vdi AB lâ h_rc cadung m6! Ngùơ hingaâ mi; co LY muvr? : n 'T TAN 9,5õ ; THAN" âD n p â bâ i Q Y V B YA RA : 06 ' Hâa r5n: ( V Xc, ~ ,.( Y Em (F) = Q Q.2a.cos30õsin'60" Mc, = Q.a.si õ + Mg = Q.a - n3 ZX= QcoĐ 02 = : : 30õ + Q) M > z\ M, E vằ õ Xg C -Xc bing ZY N : > = : Y a AB" s ,4: , Q_2a : > MA = Xâ > = ' l 'gĐ Nâ Qcos6O" õ n Đ O Yc ~ ~ Y, - \ Qsin3O"= O: > = õ \ Y, õ - Kâ :izugi = õ Q2 õ -õ Y õ A Bâi8Hai dim dâ ng chit AB vi 2'Q.a J5 Q õ X :n g lic 116i vdi bhng ba lhanh chiâ dzõ 1iõ 4a, cix ng lrqng luqng P, duqc A = CD u M, , \ = â hk ng lrcpng luqng nhu C2ic"d5m ngang Dùơ u a nim cùơ dim bi ngùơ m v50 gndru I vâ A hnih Y =% Q.a, = Q , ,M X ùơ muT ng I\ M, = 6Pa _ \ ZmA= 0: > : MA-2Pa-4Pa= ~ p, / > - - < B õ xe1manhcD(Đ , , ,Đ , P)=o O= Đ ZmE= / , Pa+ S32a-õ =Z2 > > -P-õ Q2 0: S_1= Zmg=0: s.= =pmX : > S2: -Pl? ~ , - Pa 0: S;Mg: 0: Kâ õ + O S; -Pg =S; = Bâ i Thanh ngang OC lrong hrqng c6 P 1000 = ; 2P; MA= 6Pa; S|= R, = , N , :augt \ nim phing nhm trongmâ 2g a luc g n dung m chju tâ cn a dâ i t (Q, ngiu cùơ Q) bin auqc giùơ nim ngang cm c Luc Q = I00N EF = u nh my i i \ vùơ dùơ AB lai Thanh 20 dim câ nhb lâ zõ Biâ CD 'l: mi OB 0.5 m; luc on = 30" Hiy xzic dinhphùơ n O Đ \ y = iah O vi ng s cr f cùơ ơùc ( a diy czic lhanh cim bZing' 'r - n Dâ p nANcõ co LY "muvi-: NAr"nNAuT ng aâ mi; Ngin hùơ â bâ i Drz ~ Y" _ õ T0Z 0, õQB Y _Fu , m, ~ P)-0 (X,, Y, , , Zo, T, , ~ ZX= 0: :> +03nisgT -, = '2Y= 2-T| X, cos 30 -Tgcos T, EQ X / _7= c A l + 0: T| Zmõ Y, 30C , =03 nis 'O = P.g2õ 0: P - > 0: =0 Zm, = m-T1sin30.OB = : J5 ; iguùơ > T; 80N ; T| Z, = SOON 10 Bâ i 10 Tim dĐ ng X, = P= l000N t = õ540 Kâ chit hinh chit lrong nhâ = -40N;Y0 , o sin30+ Z, , T; + ZZ= = = - htqng P = 200N mic vâ lgtdng nhb g6i ciuA vi bzin lâ lru B vi duõqc giùơ cin hing vi lri nZim ghfg n AE nhddùơ y CE nghiâ ng 60" Biff! dltbng châ AC vdi duiing thing dùơ ng o AB Tim A, lzgi c _! l\ âihgn phin ng-30" vdi canh B vâ cis a cing cùơ y dùơ - Uõ ! "' 2"" I - Y B t A Ngùơ n hingaâ chi: C0 LY THUYFET BANG THANH p NAT â n "Dâ - i1O âb' I- 42 Đ' õZ 28 W YA B A Y > ( r, _ (x, Y_, z, x, , z D"Jõ , , , c (X Lip câ P)~ phu'dng õ ,h , nirt O : > XA :> I bing: X + + X5 õHaw XX/ = XA > = - ; Tcos30sin30 = in = câ ZA+ in Z5+ -õ - Xm.(F) = : =P-06soZ52: cT ZB+ =ISON; YAõ =03s0c03so_bT O = > YA=T- ): Z= : > ZA+ YA : ằ z, \ = noon; C 5X (F)= Zm, = =T=P ): m, O : _(F) = ~Tl/ 24 50./ = -õX3.a + Tcos30sin30 = Keigg - xA O Pg = P= O = 'T.bcos6Oõ = Pg > T.a.cos60 - + 2254-Tõ P= m X3 ABCD dbng chit l ZOON; = 0; Z3 =n t tâ chm) nhu1õ g 11 Bâi 11 Mâq u vi A 1'5N KC * va 1; m Tâ 30N_ uihc tâ c gnud ơùH dinh c y âhp n lb = ng p nĐ m ngang bĐ 30 Z duac gifr tai Q = tri O E v õ n a b tn luc sâ tru B n bân X U 19 kõ anh A, câ g n a g F = : T u ='2o0N luc âx .ằ ' -13A, ,1 '< B \ mằ D X \ ~ \ n Ngâ aâ ma; cd mg Lằ "muYifT ? THANõ BANG NAT q ba| 11 in 4/ Z ~ õ7) B Y ' A _ õ õ > " , X, D c X , , B P, Xõ Yõ Z( K õZ zx xA + x, X, S)-O , Zõ , A-F+ Ssin30õ sinB= , = , Q ZY - = YA - ZZ Ssin30"c0s30=0 = +25 + Scos30õ = O = +P Q+ZA Scos 30õ AB.ZB+ -5-4iõ Zm, Zm_ AB= (4) = : Q- Scos30"BC= õ25 2., 2, ằ , = AB.Xa = (6) Kai & : XA u= g= 27.84N = 7,5P xB= õ (5)! , YA: -3,75N, =0, s=s,7 N -12 Bâi 12 Thanh gap khùơ c ABCD D 2, Q= c6 ABCihuâ c _| ihpram vi sqi ng mg khdp 1r\ lgi BCD Khdp cùơ lai phâ y id mac ma: - ng ngaing u c E hinh nhu giiri DK song song vdi BA chiu l\ _rc vâ Cho AB: 40 cm khâ: E B CD Tum phin IOON, = 40cm , P 20cm, EC: m| 60 Ncm m; = 40 , ' ng = = Nqm l\ cr_ lai E.A 2av crfvs c5ng_c1'1a ~ \ A I _- / y dâ KD \ õ rnl I > -õ õ- [...]... =pmX 0 : > S2: -Pl? ~ , - Pa 0: S;Mg: 0: 2 Ké ‘ + O S; -Pg 9 =S; = Bé i 9 Thanh ngang OC lrong hrqng c6 P 1000 = ; 2P; MA= 6Pa; S|= R, = , N , :augt \ nim phing nhm trongmé 2g a luc g n dung m chju té cn a dé i t (Q, ngiu cï¬ • Q) bin auqc giï¬ nim ngang cm c Luc Q = I00N EF = u nh my i i \ • vï¬ dï¬ • AB lai ‚ Thanh 20 dim cé nhb lé z‘ Bié CD 'l: mi OB 0.5 m; luc on = 30" Hiy xzic dinhphï¬... lé lru B vi du’qc giï¬ cin hing vi lri nZim ‚ ghfg n AE nhddï¬ • y CE nghié ng 60" Biff! dltbng ché AC vdi duiing thing dﬕ ng o AB Tim A, lzgi c _! l\ ©Ãihgn phin ng-30" vdi canh B vé cis a • cing cï¬ y • dï¬ - U‘ ! "' 2"" I - Y B t A • Ngï¬ n hingaé chi: C0 LY THUYFET BANG THANH p NAT é n "Dé - i1O ©Ãb' I- 42 §Â' ° ˜€ âZ 28 W YA B A Y > ( r, _ (x, Y_, z, x, , z D"J“ , , , c 5 (X Lip... 4a, cix ng lrqng luqng P, duqc A = CD 8 u M, , \ = © Ãhk ng lrcpng luqng nhu C2ic"d5m ngang Dﬕ u a nim cﬕ dim bi ngï¬ • m v50 gndru I vé A hnih ‚ Y¢ =% Q.a, = Q , ,M¢ X ï¬ muT ng I\ ...DANG THANH TAN NGAN (: H(_)C LY Tp BE HANG H5 Chi THI T1-IUYET Minh 03 - â , v RU 6c) dinh Ngùơ _ hùơ ng mi: c0 L? TuuYùơT n aâ TAN f TRUõ DAI O'NG SUõ HOC PHAM co BANG THANH KY hqc... châ AC vdi duiing thing dùơ ng o AB Tim A, lzgi c _! l âihgn phin ng-30" vdi canh B vâ cis a cing cùơ y dùơ - Uõ ! "' 2"" I - Y B t A Ngùơ n hingaâ chi: C0 LY THUYFET BANG THANH p NAT â n "Dâ... l c6 " ( )~ 1-õ Rn = = Mc- hqp cr_h câ = u hâ ' 51.1? / k 4- Mo = = '' I CU LY g an -1 DANG THANH TI-IUYWET hâ ng dlâ -lhi: Ngan N AT I u Haâ Dinh | yd cul (F'.< ~ Fõ * F"'> P, 17"