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Machine Parts - Screws fastening a board calculation

  1. Jan 30, 2013 #1

    Femme_physics

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    1. The problem statement, all variables and given/known data

    Board AB is fixed to the wall through 6 screws as described in the drawing. Beams CD and DE are connected to the board by joints at points C, D, E. At point D acts a vertical force of 7500 [N].

    Calculate:

    A) The reaction forces at joints C, E.

    B) Describe the external forces acting the beams CD, ED, on board AB.

    C) Calculate the screws measurements for fastening the board.

    http://img341.imageshack.us/img341/4181/rivets.jpg [Broken]


    3. The attempt at a solution

    I left clause C out, wondering if so far so good

    http://img854.imageshack.us/img854/851/fixxxxxx.jpg [Broken]
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Jan 30, 2013 #2

    I like Serena

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    Brings back the old days!

    The reaction forces at C and E looks good!! :smile:


    I'm afraid your drawing for part (B) is not quite right yet.
    You have left out the horizontal forces which you shouldn't.
    Btw, the direction of one of those vertical forces is the wrong way.
     
    Last edited: Jan 30, 2013
  4. Jan 31, 2013 #3

    Femme_physics

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    Last edited by a moderator: May 6, 2017
  5. Jan 31, 2013 #4

    I like Serena

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    Looks familiar. :)
    I'll check the numbers later.

    The forces in part (B) look much better now... but they seem to be the forces that the board exerts on the beams rather than the forces that act on the board...
     
  6. Jan 31, 2013 #5

    Femme_physics

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    You're right, I forgot, it's the same with the principle of the frames. When you look at a different beam the forces are equal but opposite.

    So, consider all the forces drawn on the board equal but opposite (I'll redraw it later :) ). Right?
     
  7. Jan 31, 2013 #6

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    Right! :)
     
  8. Jan 31, 2013 #7

    Femme_physics

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    Last edited by a moderator: May 6, 2017
  9. Jan 31, 2013 #8

    I like Serena

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    Hmm, case 2 shows 4 horizontal boards that are entwined.
    Do you have 4 boards?
     
  10. Jan 31, 2013 #9

    Femme_physics

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    Our teacher picked case 2 for this other exercise: (which doesn't have 4 boards, only 2 as you can see)

    http://img837.imageshack.us/img837/8774/exercisen.jpg [Broken]


    I added translation for the cases I posted in the post before.

    1) Force P is parallel to the screws axis and passes through the center of gravity (C) of the connection

    2)
    a) Force P acts in 90 degrees to the axis of the screws and passes through the center of gravity of the conection

    b) Connection with no space between screw and drilled hole

    3)
    a) Torsion moment M acts in the plane of the conection
    b) Screws are in difference distances from center of connection C

    4)
    Force P acts 90 degrees to the axis of the screws (does not pass through center of gravity C)

    5) Force P (or moment M) acts parallel to the axis of the screws (does not pass through center of connection C)

    6) Force P acts 90 degrees to the axis of the screws (does not pass through center of gravity C).
     
    Last edited by a moderator: May 6, 2017
  11. Jan 31, 2013 #10

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    I checked your numbers... and they check out!
    It looks like you still know how to do it!!

    And with the translation, case 2 does sound right!
    Did you clean the scanner?
     
  12. Jan 31, 2013 #11

    Femme_physics

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    My classmate claims it's case 6... I'm a bit conflicted myself. Any second thoughts?

    Thanks for checking my numbers :)

    And yep, it's all cleaned up and ready for mechano-scans
     
  13. Jan 31, 2013 #12

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    The downward force on the board is at point C.
    At this point the force is at 90 degrees to the screws and passes through the center of gravity of the board.

    The main horizontal force is at point E, trying to pull the board from the wall.
    But both cases include this force.

    So I'm going to stick with you. ;)
    Case 2 it is.
     
  14. Jan 31, 2013 #13

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    Can it also scan or?
     
  15. Feb 2, 2013 #14

    Femme_physics

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    Heh ;)

    Thanks!
     
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