39804746 Bai Tap Thuy Luc Dai Cuong 0658

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    Bi tp thy lc i cng

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 1

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 2

    BI TP THY LC I CNG

    H v tn: Nguyn Thnh Trung

    Lp: 53CG2

    MSSV: 2461.53

    Bi tp chng 2: Thy tnh hc

    Bi 2.4 : Theo bi ra ta c s nh hnh v:

    p sut ti im A l:

    p sut ti im B l: Ly (1) (2) ta c chnh p sut ti A v B

    Mt khc ta li c: ; Vy ta suy ra c:

    Du - ngha l

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 3

    Bi 2.11 :

    Xt p sut d ti 2 im A v A thuccng

    1 mt ng p 0-0: Vi: T ta c

    Hay Theo hnh v trn ta c:

    Bi 2-12 (28)

    p sut d ti im A c tnh bi:

    Xt p sut d ti 2 im C v C thuc cng 1 mt ng p 0-0:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 4

    M:

    Hay : Bi 2-23:

    Ta tnh cao trng tm ca tit din ca van:

    Xt p lc do khi nc c cao h1 gy ra ln ca van:

    Ta c:

    Nu ta chn trc Oz nm nghing theo mt vi hng nh hnh v, im O nm timt thng lu th v tr ca im t lc P1 s tnh theo cng thc:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 5

    Vi

    T ta c :

    Xt p lc do khi nc c cao h2 gy ra:

    cao trng tm phn tip xc vi nc ca ca van l:

    Din tch mt tip xc vi nc l:

    Do ta c:

    im t lc l: (xt trong h trc Oz)

    Trong h trc Oz th im D c ta :

    Vy t ta c c p lc ca ton b nc tc dng ln ca van l:

    ln:

    im t lc c xc nh theo phng ph p xc nh im t khi c hp lc 2 lc song song:

    Khong cch gia 2 im t D v D l:

    Gi a l khong cch t D n im t G ca hp lcP v b l khong cch t D n im t G ca hp lc P.

    Ta lp c h phng trnh sau t phng trnh cn bngmoment quanh O

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 6

    Gii ra ta c:

    T ta xc inh c im t G ca hp lc P cch O mt on:

    Bi 2-24:

    Xt p lc P1 do khi nc thng lu gy ra

    Chn trc AZ nh hnh v

    Din tch phn nc tip xc vi nc l:

    Trng tm c cao: p lc:

    im t: T ta suy ra khong cch gia D v O l:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 7

    Xt tng t cho khi nc h lu ta c:

    Khong cch gia D v O l:

    Xt iu kin cn bng momen quanh O:

    Van bt u m khi:

    Gii phng trnh trn ta suy c gi tr ca

    Bi 2.27:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 8

    Nhn trn hnh v ta c nhn xt rng h c xu hng quay quanh im K ( nm chn ca trchng). Do vy h cn bng th lc P do nc tc dng vo thnh van phi c phng i qua Khay im D chnh l im t lc ca P

    Chon trc ta Oz nh hnh v:

    Ta im t lc P c tnh theo cng thc:

    Vi:

    l phn din tch phn mt tip xc vi nc.

    : l moment qun tnh ca mt tit din tip xc vi nc

    l cao ca trng tm tit din tnh t mt thong

    T ta suy ra: (1)Mt khc theo hnh v ta thy:

    ; (2)

    T (1) v (2) ta suy ra gi tr ca H=1,04(m)

    Ta tnh c ln ca P l: P=24503,9 (N) = 24.3 (kN)

    Bi 2.39:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 9

    Bi tp chng 3:

    Bi 3-26:

    Chn mt O-O l mt phng chun so snh:

    Vit phng trnh Becnulli cho mt ct ti 2-2 v 3-3 vi gi tr p sut d ta c:

    Ta c th b qua gi tr tn tht ct nc D2/2 rt nh nn ta c th b qua

    Vit PT nh lut Becnulli cho 1-1 v 4-4 ta c:

    Thay (2) vo (1):

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 10

    Vi v4 v v1 l:

    Ta c : Vy lu lng nc clo trong ng l:

    2) Lu lng nc Clo trong ng l 0.5 l/s

    T (*) ta c:

    3)

    T (*) ta c:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 11

    Bi 3.27:

    Chn mt chun 0-0 nh hnh v

    Vit phng trnh Becnulli cho m t ct ti 1-1 v 2-2 vi gi tr p tuyt i ta c:

    M:

    ; n ; n

    T ta c c gi tr ca v:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 12

    Bi 3.35:

    Chn mt chun 0-0 l mt i qua y di ca van x nh hnh v:

    Vit phng trnh Becnulli cho m t ct ti 1-1 v 3-3 vi gi tr p sut tuyt i ta c:

    T ta c:

    Vy:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 13

    Bi 3.36:

    Vit phng trnh nh lut Becnulli cho mtct 2-2 v 3-3 vi mt phng so snh l mt0-0 nh hnh v:

    Vi cc gi tr:

    Tn tht ct p s bng tng cc tn tht dc ng v cc b: (do tn tht dc ng t l vi chiu di)

    Vit phng trnh nh lut Becnulli cho mt ct 2-2 v 1-1 vi mt phng so snh l mt 0-0:

    V ng o p

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 14

    Bi 3.39:

    Chn mt O-O l mt phng chun so snh:

    Vit phng trnh Becnulli cho m t ct ti 1-1 v 2-2 vi gi tr p tuyt i ta c:

    T ng o p ta c phng trnh:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 15

    Thay (2) vo (1) ta suy ra c:

    Vi:

    Lu lng nc l:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 16

    Bi 3-41:

    Chn mt phng chun O-O nh hnh v

    Vit phng trnh Becnulli cho m t ct 1-1 v 2-2 vi p sut d:

    Phng trnh lin tc p dng cho knh ti on u v on thu hp;

    Thay (2) vo (1) ta c:

    Sau khi thay s vo v gii ra ta c gi tr ca v2 l:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 17

    Bi 3.46:

    Phng trnh ng lng cho on dng chy c gii hn bi 2 mt ct 1-1 v 2-2 i vi trcchiu s nm ngang hng t tri sang phi:

    Coi:

    Lc ngoi gm c:

    Lc khi trng lng ca on dng chy l G tuy nhin Gs = 0

    Lc mt:

    Lc ma st trn thnh ng. Tuy nhin ta ch xt 1 phn ng ngn nn coi lc ma st l nhnn c th b qua

    p lc nc xung quanh tc ng ln mt ng 1-1 v 2-2:

    Phng trnh inh lut Becnuli cho 2 mt 1-1 v 2-2 vi mt O-O l mt chun:

    Tuy nhin do Q v l khng i nn:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 18

    Vit li phng trnh trn ta c :

    Goi phn lc ca van tc ng vo dng nc l R

    Ta c:

    Gi tr R = gi tr p lc tc dng ln ca van: Vi:

    p dng thay s: P=112.5 (kN)

    Chng IV: Tn tht ct nc trong dng chy

    Bi 4-14:

    S Vi nc c nhit Vy ta c Vy nc chy ri

    Chiu dy ca lp mng st thnh

    Ta thy:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 19

    Nn nc chy ri trong khu thnh trn thy lc

    Bi 4-20:

    Tn tht dc ng hd tnh theo cng thc Darcy:

    Ta gi s rng nc trong ng chy khu sc cn bnh phng

    Ta tnh C theo cng th c Maninh: Vi

    (tra bng vi ng thng)T ta c : Mt khc ta c:

    Thay vo cng thc hd:

    Vi

    ta kim tra li iu kin chy ri trong khu sc cn bnh phng

    Ta kim tra li iu kin chy ri trong khu sc cn bnh phng

    y

    Vy gi thit ng.

    Lu lng nc chy qua l:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

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    Bi 4.26:

    Vit

    phng trnh nh lut Becnulli cho mt ct 1-1 v 2-2 vi mt phng so snh l mt 2-2:

    Tn tht dc ng:

    Ta xt:

    Vy nc chy ri

    Xt:

    Ta c: Chy ri trong khu sc cn bnh phngCng thc Niucrat

    Tn tht cc b ti ch vo ng l:

    Tn tht cc b ti ch m rng ra t ngt

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 21

    Vy ta c:

    Vy chnh cao: Bi 4.30:

    Vit phng trnh nh lut Becnulli cho mt ct 1-1 v 2-2 vi mt phng so snh l mt O-O:

    Tuy nhin do ta b qua tn tht dc ng nn: Ta tnh ton cc tn tht cc b:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 22

    Thay cc gi tr trn vo phng trnh Becnuli:

    T ta tnh c lu lng:

    v ng o p ta xt them gi tr :

    Bi 4.31:

    Ta tm lu lng xng t a m phu cho php chyqua. Xt phu trng thi ngp xng hon ton.

    Vit phng trnh nh lut Becnulli cho mt ct 2 2v 2-2 vi mt phng so snh l mt 2-2:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Nguyn Thnh Trung 2461.53 Tr. 23

    Lu lng ti a cho php qua ph u m phu khng b trn l:

    Hay:

    Xt b cha

    Vit phng trnh nh lut Becnulli cho mt ct 1 1 v 1-1 vi mt phng so snh l mt 1-1:

    Trong tng ng l cc tn tht cc b ti v tr I, II, III trn hnh v

    Thay vo phng trnh Becnuli trn

    Do lu lng ti a l Q=4.9(l/s) nn vn tc ti a trong ng l:

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    Bi tp thy lc i cng GVHD: PGS.TS. L Trn Chng

    Vy ta c:

    Bi 4.33: