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    Simply Supported Beam With Support Added at Midspan To Prevent Excessive Deflection

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    Shiela Gonzales
    A simply supported beam with a span of 12 meters carries a uniformly distributed load of 21.5 kN/m. To prevent excessive deflection, a support is added at midspan. The reaction at the added support is 161.25 kN. The maximum positive moment at the added support is -96.75 kN-m. The maximum positive moment along the beam is 54.42 kN-m when a support is added at midspan.

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    Simply Supported Beam With Support Added at Midspan To Prevent Excessive Deflection

    Uploaded by

    Shiela Gonzales
    251 views2 pages
    A simply supported beam with a span of 12 meters carries a uniformly distributed load of 21.5 kN/m. To prevent excessive deflection, a support is added at midspan. The reaction at the added support is 161.25 kN. The maximum positive moment at the added support is -96.75 kN-m. The maximum positive moment along the beam is 54.42 kN-m when a support is added at midspan.

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    5. Simply Supported Beam with Support Added at Midspan to Prevent Excessive Deflection

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    A simply supported beam with a span of 12 meters carries a uniformly distributed load of 21.5 kN/m. To prevent excessive deflection, a support is added at midspan. The reaction at the added support is 161.25 kN. The maximum positive moment at the added support is -96.75 kN-m. The maximum positive moment along the beam is 54.42 kN-m when a support is added at midspan.

    Copyright:

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

    Simply Supported Beam With Support Added at Midspan To Prevent Excessive Deflection

    Uploaded by

    Shiela Gonzales
    A simply supported beam with a span of 12 meters carries a uniformly distributed load of 21.5 kN/m. To prevent excessive deflection, a support is added at midspan. The reaction at the added support is 161.25 kN. The maximum positive moment at the added support is -96.75 kN-m. The maximum positive moment along the beam is 54.42 kN-m when a support is added at midspan.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    5/1/23, 10:25 PM Simply Supported Beam with Support Added at Midspan to Prevent Excessive Deflection | CE Board Problem in Structural

    oblem in Structural Engine…

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    Date of Exam:  November 2018

    Subject:  Structural Engineering and Construction

    Situation
    A simply supported beam has a span of 12 m. The beam carries a total uniformly distributed load of 21.5 kN/m.
    1.   To prevent excessive deflection, a support is added at midspan. Calculate the resulting moment (kN·m) at the added support.

    A.   64.5 C.   258.0

    B.   96.8 D.   86.0

    2.   Calculate the resulting maximum positive moment (kN·m) when a support is added at midspan.

    A.   96.75 C.   108.84

    B.   54.42 D.   77.40

    3.   Calculate the reaction (kN) at the added support.

    A.   48.38 C.   161.2

    B.   96.75 D.   80.62

    Answer Key

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    Solution

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    R2 L 3 5wL 4
    =
    48EI 384EI
    5 5
    R2 = 8
    wL = 8
    (21.5)(12)
    R = 161.25 kN   ←   Answer for Part (3)
     

    ΣFv = 0

    https://mathalino.com/board-problem/structural-engineering-and-construction/node-4861 1/4
    5/1/23, 10:25 PM Simply Supported Beam with Support Added at Midspan to Prevent Excessive Deflection | CE Board Problem in Structural Engine…
    2R1 + R2 = 21.5(12)
    2R1 + 161.25 = 258
    R1 = 48.375 kN
     

    M2 = 48.375(6) − 21.5(6)(3)
    M2 = −96.75 kN ⋅ m   ←   Answer for Part (1)
     

    Vx = 48.375 − 21.5x = 0
    x = 2.25 m
     
    x
    Mx = 48.375x − 21.5x ( )
    2
    Mx = 48.375(2.25) − 10.75(2.252 )
    Mx = 54.42 kN ⋅ m   ←   Answer for Part (2)

     
    Category:  Theory of Structures Structural Analysis Beam Deflection Simply Supported Beam simple beam maximum positive moment Maximum Bending Moment
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