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BÀI TẬP LỚN PHẦN TỬ HỮU HẠN GVHD: NGUYỄN THỊ NGÂN SVTH: PHẠM VĂN PHÚC LỚP: XD08A3 MSSV:0851031869 Trang 1 A. BÀI S1 Sơ đồ tính I. GII BẰNG PHƢƠNG PHÁP PHẦN THU HN : 1. Ri rc hóa phn t2. Xác định ma trận độ cng: [K] e ,[K] Ta có : 2 2 2 3 4 6 12 2 6 4 6 12 6 12 L đx L L L L l L L EJ K e Nên 6496 . 74 32 . 4 3 1 EJ K ; 84 . 51 92 . 25 92 . 25 84 . 51 6 . 3 3 3 EJ K

BÀI TẬP LỚN PTHH

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  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 1

    A. BI S 1

    S tnh

    I. GII BNG PHNG PHP PHN T HU HN :

    1. Ri rc ha phn t

    2. Xc nh ma trn cng: [K]e ,[K]

    Ta c :

    2

    22

    3

    4

    612

    264

    612612

    Lx

    L

    LLL

    lL

    L

    EJK e

    Nn

    6496.74

    32.4 31

    EJK ;

    84.5192.25

    92.2584.51

    6.3 33

    EJK

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 2

    6496.743248.37

    3248.376496.74

    32.4 32

    EJK ;

    6496.743248.37

    3248.376496.74

    32.4 34

    EJK

    84.51

    6.3 35

    EJK ;

    Suy ra

    04.95

    6.2104.95

    092.2504.95

    006.214.86

    6.3 3*

    dx

    EJK

    3. Xc nh vecto ti phn t :

    Phn t thanh chu ti trng phn b u :

    Ta c

    12/

    2/

    12/

    2/

    2

    2

    L

    L

    L

    L

    qp e nn

    08.1

    08.1303p ;

    08.1

    08.1205p

    Phn t thanh chu ti trng tp trung gia nhip:

    Ta c

    8/

    2/1

    8/

    2/1

    L

    Lpp e nn

    54.0

    701p ;

    54.0

    54.0452p ;

    54.0

    54.0704p

    Ta c ne

    ppp * vi 0n

    p nn

    2.16

    4.5

    1.8

    5.13

    *p

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 3

    4. Gii phng trnh c bn ca FEM:

    0

    0

    186307.0

    0

    6.3;

    186307.0

    0

    06975.0

    0

    6.3

    06975.0

    0

    10784.0

    0

    6.3;

    10784.0

    0

    183211.0

    0

    6.3;

    183211.0

    0

    0

    0

    6.3

    186307.0

    06975.0

    10784.0

    183211.0

    6.3

    2.16

    4.5

    1.8

    5.13

    04.95

    6.2104.95

    092.2504.95

    006.214.86

    6.3

    2.16

    4.5

    1.8

    5.13

    04.95

    6.2104.95

    092.2504.95

    006.214.86

    6.3

    ****

    3

    5

    3

    4

    3

    3

    3

    2

    3

    1

    3

    1

    3

    4

    3

    2

    1

    3

    1

    EJq

    EJq

    EJq

    EJq

    EJq

    EJx

    EJ

    q

    q

    q

    q

    qx

    dx

    EJ

    pxKqpqxK

    5. Tnh moment:

    Ta c : ee qxLLLL

    LLLL

    L

    EJM

    22

    22

    34626

    2646

    Nn

    914715.7

    957358.3

    183211.0

    6.3

    32.44

    )32.42(

    32.4

    3

    2

    2

    31 EJx

    xEJM

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 4

    70149.0

    58537.5

    10784.0

    183211.06.3

    32.4432.42

    )32.42()32.44(

    32.4

    3

    22

    22

    32 EJxx

    xxEJM

    41108.6

    39851.7

    06975.0

    10784.06.3

    6.346.32

    )6.32()6.34(

    6.3

    3

    22

    22

    33 EJxx

    xxEJM

    541871.6

    01108.1

    186307.0

    06975.06.3

    32.4432.42

    )32.42()32.44(

    32.4

    3

    22

    22

    34 EJxx

    xxEJM

    829065.4

    658129.9186307.06.3

    6.32

    )6.34(

    6.3

    3

    2

    2

    35 EJx

    xEJM

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 5

    6. V biu mooment:

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 6

    II. GII BNG SAP2000 VERSION 12:

    1.To dm v khai bo ti trng

    2.Khai bo bc t do:

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 7

    3. Biu ni lc:

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 8

    4. Kt qu:

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 9

    BNG SO SNH KT QU GIA PTHH V SAP

    V tr gi PTHH SAP LCH

    1 41.757358 41.7530 0.43%

    2 29.8853 29.8864 0.11%

    3 25.00149 25.0060 0.45%

    4 38.81108 38.8064 0.47%

    5 31.258129 31.2559 0.22%

    6 16.770935 16.7788 0.79%

    lch

    trung bnh

    0.41%

    Nhn xt : So snh cho thy kt qu gii c bng PTHH v SAP gn ging

    nhau vi lch trung bnh khong 0.41%, s lch ny l do trong qu trnh gii

    bng PTHH lm trn s

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 10

    B. BI S 2

    S tnh:

    I. GII BNG PHNG PHP PTHH:

    1. Ri rc ha phn t:

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 11

    2. Bng i lng cc phn t:

    Phn

    t

    i j C S C2

    S2

    CS L(m) EJ/L3

    1 1 4 900

    0 1 0 1 0 3.6 EJ/3.63

    2 2 5 900

    0 1 0 1 0 3.6 EJ/3.63

    3 3 6 900

    0 1 0 1 0 3.6 EJ/3.63

    4 4 5 00

    1 0 1 0 0 4.32 EJ/4.323

    5 5 6 00

    1 0 1 0 0 8.64 EJ/8.643

    6 5 7 900

    0 1 0 1 0 3.6 EJ/3.63

    7 6 8 900

    0 1 0 1 0 3.6 EJ/3.63

    8 7 8 00

    1 0 1 0 0 8.64 EJ/8.643

    3. Xc nh ma trn cng: *; KK e

    Ta c :

    2

    2

    2

    22

    22

    22

    3

    4

    612

    61212

    2664

    61212612

    6121261212

    Lx

    LCC

    LSCSS

    LLCLL

    LSCCSLSC

    LSCSSLSCSS

    L

    EJK e

    Nn

    2

    31

    6.34

    6.3

    xx

    EJK ;

    2

    32

    6.34

    6.3

    xx

    EJK

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 12

    2

    33

    6.34

    6.3

    xx

    EJK ;

    2

    22

    34

    32.44

    32.4232.44

    32.4

    xx

    xxEJK

    2

    22

    35

    64.84

    64.8264.84

    64.8

    xx

    xxEJK ;

    2

    36

    6.34

    6.3

    xx

    EJK

    2

    37

    6.34

    6.3

    xx

    EJK ;

    2

    22

    38

    64.84

    64.8264.84

    64.8

    xx

    xxEJK

    Suy ra

    3/17

    6/53/17

    203/29

    026/513

    0003/53/22

    6.3*

    x

    EJK

    4. Xc nh vect ti phn t: *; PP e 0

    7632 pppp

    Phn t thanh chu ti phn b u:

    12/

    2/

    2/

    12/

    2/

    2/

    12/

    2/

    12/

    2/

    2

    2

    2

    2

    L

    CL

    SL

    L

    CL

    SL

    q

    L

    L

    L

    L

    qpe nn

    12/64.8

    0

    0

    12/64.8

    0

    0

    30

    2

    2

    5p ;

    12/64.8

    0

    0

    12/64.8

    0

    0

    40

    2

    2

    8p

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 13

    Phn t thanh chu ti trng tp trung:

    8/

    2/

    2/

    8/

    2/

    2/

    8/

    2/1

    8/

    2/1

    L

    C

    S

    L

    C

    S

    p

    L

    Lpp

    e nn

    8/6.3

    451

    p ;

    8/32.4

    8/32.470

    4p

    Ta c ne

    ppP * vi 0n

    p

    832.248

    832.248

    624.186

    824.148

    55.17

    *p

    5. Gii phng trnh c bn ca FEM:

    71832.47

    4139.49

    80322.9

    29253.4

    41761.1

    6.3

    832.248

    832.248

    624.186

    824.148

    55.17

    3/17

    6/53/17

    203/29

    026/513

    0003/53/22

    6.3

    ****

    1

    5

    4

    3

    2

    1

    1

    EJx

    x

    EJ

    q

    q

    q

    q

    q

    pxKqpqxK

    41761.1

    6.31

    EJq ;

    29253.4

    6.32

    EJq ;

    80322.9

    6.33

    EJq ;

    29253.4

    41761.16.34

    EJq ;

    80322.9

    29253.46.35

    EJq ;

    4139.49

    29253.46.36

    EJq

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 14

    71832.47

    80322.96.37

    EJq ;

    71832.47

    4139.496.38

    EJq

    6. V biu ni lc:

    Ta c : ee

    qxLLCLSLLCLS

    LLCLSLLCLS

    L

    EJM

    22

    22

    3466266

    266466

    Nn

    67044.5

    83522.2

    41761.1

    6.3

    6.34

    )6.32(

    6.3 2

    2

    31 EJx

    x

    xEJM

    1701.17

    58505.8

    29253.4

    6.3

    6.34

    )6.32(

    6.3 2

    2

    32 EJx

    x

    xEJM

    21288.39

    60644.19

    80322.9

    6.3

    6.34

    )6.32(

    6.3 2

    2

    33 EJx

    x

    xEJM

    6711.16

    8796.11

    29253.4

    41761.16.3

    32.4432.42

    )32.42()32.44(

    32.4 22

    22

    34 EJx

    xx

    xxEJM

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 15

    7616.12

    01514.1

    80322.9

    29253.46.3

    64.8464.82

    )64.82()64.84(

    64.8 22

    22

    35 EJx

    xx

    xxEJM

    241.206

    998.115

    4139.49

    29253.46.3

    6.346.32

    )6.32()6.34(

    6.3 22

    22

    36 EJx

    xx

    xxEJM

    4797.210

    6495.134

    71832.47

    80322.96.3

    6.346.32

    )6.32()6.34(

    6.3 22

    22

    37 EJx

    xx

    xxEJM

    3523.38

    5812.42

    71832.47

    4139.496.3

    64.8464.82

    )64.82()64.84(

    64.8 22

    22

    38 EJx

    xx

    xxEJM

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 16

    7. V biu mment:

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 17

    Kim tra cn bng nt :

    Nt 4 Nt 5

    09204.259204.25 M 0

    1064711.541701.17998.11563914.187 5

    M

    xM

    Nt 6 Nt 7

    0102

    6495.13421288.398624.173

    5

    xM

    M

    0241.206241.206 M

    Nt 8

    04797.2104797.210 M

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 18

    II. GII BNG SAP20000 VESION12:

    1. To khung, khai bo ti trng, v gii ra biu ni lc

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 19

    BIU LC CT V MMENT

  • BI TP LN PHN T HU HN GVHD: NGUYN TH NGN

    SVTH: PHM VN PHC LP: XD08A3 MSSV:0851031869 Trang 20

    2. Kt qu:

    Nhn xt : kt qu gia gii SAP v PTHH l gn nh bng nhau