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

[JeromeHatlewick]

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?

[terryhendicott]

Hi,

Deflections of a single simply supported span by conjugate beam.

Cheers

Terry

[terryhendicott]

Hi,

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

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

Cheers 

Terry

[JeromeHatlewick]

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.

[terryhendicott]

Hi,

The snippets of Mathcad statements work if EI of the beam is constant.  You just need to divide EI to get the value of deflection.

Cheers

Terry

[JeromeHatlewick]

Thanks for the additional information.  I have not yet tried to work this into my Mathcad Prime 5.0 sheet.  I had to make a few corrections earlier in the sheet and haven't had time to try this out.