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JeromeHatlewick4-Participant
4-Participant
July 23, 2019
Question

Conjugate Beam Method to calculate deflection for a symmetrical 3 span beam

  • July 23, 2019
  • 1 reply
  • 2601 views

I am currently writing a Mathcad Prime 5.0 design sheet for a symmetrical three span beam.  I have calculated the moments and shear along the beam and have also determined the cracked section properties.  I am interested in how to include the conjugate beam method to calculate the deflection at 10th points along the beam.  Has anyone written a sheet that includes the conjugate beam method as I have stated that I can use as a go-by?

1 reply

T
21-Topaz II
terryhendicott21-Topaz II
21-Topaz II
July 24, 2019

Hi,

Deflections of a single simply supported span by conjugate beam.

Capture.PNG

Cheers

Terry

    T
    21-Topaz II
    terryhendicott21-Topaz II
    21-Topaz II
    July 24, 2019

    Hi,

     

    The equations of moment with respect to x distance from left hand side are:

    Capture.PNG

    You need to include two more for the end moments -M.lhs and -m.rhs

    Cheers 

    Terry

     

      J
      JeromeHatlewick4-ParticipantAuthor
      4-Participant
      July 24, 2019

      Thanks, Terry.  I'll take a look at it and see if I can make it work for my 3 span reinforced concrete beam.

       

      I'm also using Mathcad Prime 5.0 so there will be some programming modifications.

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