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    2008-09 Major PDF

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    rfvz6s
    (1) Use the minimum potential energy theorem to determine the vertical deflection of the structure shown in Fig. 1 under a load P, assuming an appropriate trigonometric function for the deflected profile. (2) Use the matrix displacement or slope deflection method to find the vertical deflection at point B and the rotation at point B for the structure shown in Fig. 2, which has a constant EI of 103kNm2. (3) Employ the moment distribution method to obtain the final end moments for the frame in Fig. 3, properly labeling all stiffness factors, distribution factors, and identifying any modified stiffness values with an asterisk.

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    2008-09 Major PDF

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    rfvz6s
    12 views2 pages
    (1) Use the minimum potential energy theorem to determine the vertical deflection of the structure shown in Fig. 1 under a load P, assuming an appropriate trigonometric function for the deflected profile. (2) Use the matrix displacement or slope deflection method to find the vertical deflection at point B and the rotation at point B for the structure shown in Fig. 2, which has a constant EI of 103kNm2. (3) Employ the moment distribution method to obtain the final end moments for the frame in Fig. 3, properly labeling all stiffness factors, distribution factors, and identifying any modified stiffness values with an asterisk.

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    2008-09_Major.pdf

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    (1) Use the minimum potential energy theorem to determine the vertical deflection of the structure shown in Fig. 1 under a load P, assuming an appropriate trigonometric function for the deflected profile. (2) Use the matrix displacement or slope deflection method to find the vertical deflection at point B and the rotation at point B for the structure shown in Fig. 2, which has a constant EI of 103kNm2. (3) Employ the moment distribution method to obtain the final end moments for the frame in Fig. 3, properly labeling all stiffness factors, distribution factors, and identifying any modified stiffness values with an asterisk.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    12 views2 pages

    2008-09 Major PDF

    Uploaded by

    rfvz6s
    (1) Use the minimum potential energy theorem to determine the vertical deflection of the structure shown in Fig. 1 under a load P, assuming an appropriate trigonometric function for the deflected profile. (2) Use the matrix displacement or slope deflection method to find the vertical deflection at point B and the rotation at point B for the structure shown in Fig. 2, which has a constant EI of 103kNm2. (3) Employ the moment distribution method to obtain the final end moments for the frame in Fig. 3, properly labeling all stiffness factors, distribution factors, and identifying any modified stiffness values with an asterisk.

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    of 2

    DEPARTMENT OF CIVIL ENGINEERING

    MAJOR EXAM
    CEL331: STRUCTURAL ANALYSIS II (2008-09)
    Time allowed: 2hours Date: 27 November 2008 Venue: VI 301 Max marks: 40

    NOTE: (a) This question paper contains two pages. (b) All questions are compulsory. (c) Assume all members as
    inextensible unless otherwise stated. (d) Draw neat and clear sketches wherever required.

    1. Use the minimum potential energy theorem to obtain vertical deflection under the
    load P for the structure shown in Fig. 1. Assume an appropriate trigonometric
    function for the deflected profile. EI is constant for all members.
    P (6 marks)

    L L L

    Fig. 1

    2. Use matrix displacement or the slope deflection method to obtain the vertical
    deflection and the rotation at point B for the structure shown in Fig. 2.

    (6 marks)
    50 kN/m EI = 103kNm2
    A C
    B
    K= kN/m

    4m 6m

    Fig. 2

    B 100 (kN/m)
    C
    3. Obtain the final member end moments for the frame
    shown in Fig. 3 using moment distribution method. All 2.5m
    stiffness factors and and distribution factors should be 5m
    properly labelled. Modified k (if used) should be identified
    by an asterisk (*). Carry over moments less than 1kNm A D
    may be neglected. All members have same EI values
    5m
    NOTE: The results in appendix (page 2) may be directly used for
    fixed ended moments Fig. 3
    (15 marks)

    Page 1 of 2
    4. (a) Use matrix force method to determine the vertical deflection under point C
    (mid point of BD) of the frame shown in Fig. 4. Assume EI=1/6 for all members.

    (b) Draw bending moment diagram of the structure

    P B C D
    (7+2 = 9 marks)

    2L

    Fig. 4

    5. Determine the degree of static and kinematic indeterminacy of the structure shown
    in Fig. 5.
    (2+2 = 4 marks)
    Hinge in beam
    only

    Fig. 5

    APPENDIX

    [ ]
    MA MB w
    MA = 2
    e 3 ( 4 L 3e) c 3 ( 4 L 3c )]
    w 12 L

    [ ]
    a b c w
    MB = d 3 ( 4 L 3d ) a 3 ( 4 L 3a )]
    12 L2
    d = a+b e = b+c L = a+b+c

    Page 2 of 2

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