Results 1 to 2 of 2

Math Help - Engineering statics

  1. #1
    Newbie
    Joined
    Jun 2009
    Posts
    2

    Engineering statics



    Calculate the internal shear (V), axial (N), and bending moment (M) in the beam at its mid-length.

    Now heres what av figured out so far. Since its a fixed support at both ends there will be a vertical (V) and horizontal (V) reaction and also a bending moment (M). I got stuck from that point as when you take the moment about one point of the beam you have two unknowns (the Ms). Unless, since the beam is symmetrical, the vertical reactions are distributed equally between the two points? But still you would have the two unknown Ms. Any advice?

    The distance (in mm) that the left hand end of the beam moves down under the given loading.

    Dont understand how to do this question at all anyone able to help?

    Cheers for the help
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Aug 2009
    Posts
    143
    This is a pretty simple structural engineering problem. The problem is static determinate.

    Note the left support of the beam is a pin and the right is a roller, which means there is no axial force in the beam (i.e., N=0)and there is no moment at both of its ends. There is only shear force at the ends.

    By symmetry, there is no shear force at the middle of the beam ( V=0).

    Hence, there is only moment at the middle of the beam.

    Denote the peak of each triangular force by q, each concentrated force by Q, the total span of the beam by L, respectively, then the restraint force at either support is
     R=\frac{1}{4}qL+Q

    The moment at the middle of the beam is then
     M=R\times\frac{L}{2}-\frac{1}{4}qL\times\frac{L}{6}-Q\times\frac{1}{4}L=\frac{1}{12}qL^2+\frac{1}{4}QL

    Luobo
    Last edited by mr fantastic; September 19th 2009 at 01:54 AM. Reason: Restored original reply
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Statics
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: August 21st 2009, 06:14 AM
  2. Statics
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: March 20th 2009, 04:24 AM
  3. STatics Help!!
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: February 20th 2009, 03:55 AM
  4. Statics problem
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: February 14th 2009, 05:43 AM
  5. 3-D Statics
    Posted in the Advanced Applied Math Forum
    Replies: 3
    Last Post: December 15th 2007, 08:16 AM

Search Tags


/mathhelpforum @mathhelpforum