Shear deflection.
Shear deflection.
(OP)
Hi forum,
I am in the current process of building an quick excel find the BM, SF, defections in beams under simple supports with uniformly/partial distributed load and concentrated load at any point. I need an output on an graph, of length along the beam against defection to find certain results at certain points.
I can find the bending defection equations, for an UDL =(wx/24EI)(l^3 - 2lx^2 + x^3) and Point load (Pbx/6EIl)(l^2 - b^2 - x^2) when x<a.
But I can not shear defection equations of defection against distance along an beam.
Thank you for any help you can give.
I am in the current process of building an quick excel find the BM, SF, defections in beams under simple supports with uniformly/partial distributed load and concentrated load at any point. I need an output on an graph, of length along the beam against defection to find certain results at certain points.
I can find the bending defection equations, for an UDL =(wx/24EI)(l^3 - 2lx^2 + x^3) and Point load (Pbx/6EIl)(l^2 - b^2 - x^2) when x<a.
But I can not shear defection equations of defection against distance along an beam.
Thank you for any help you can give.






RE: Shear deflection.
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"Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far, the Universe is winning."
RE: Shear deflection.
In Russia building design you!
RE: Shear deflection.
Thank you again for any help you can give.
RE: Shear deflection.
Yes under Eurocode EN5 CL7.2. Deflection calculations for timber members should include both bending and shear deflection. I am at the moment making an excel to display clearly the load effect ie BM, SF and deflection the change in the across the beam for partial UDL and point loads so that we can quickly cal results live to save time redo the process several times.
Thank you again for any help you can give.
RE: Shear deflection.
and shear deflection.
RE: Shear deflection.
I am in the making of an excel to EN5. To find the final deflection, the easiest way in an excel program to get what I need an graphically (i.e. displacement against distance along an beam) like from the bending equations is to use an formula. That is to add the shear and bending deflection.
Thank again for any help you can give.
RE: Shear deflection.
Been looking into EC5 as well lately due to few metal projects for the time being - could be interesting for the future...
RE: Shear deflection.
BA
RE: Shear deflection.
Yes it only to with timber in EC5 of rectangular mainly solid timber, as all others would be an subcontractor. No I do not have an G as this would be dependant on the timber at the time.
Thank you for your help.
RE: Shear deflection.
I guess they make it simple for us around these parts.
"permanent actions and variable actions" - Does Eurocode really use those terms for dead and live loads?
In Russia building design you!
RE: Shear deflection.
BA
RE: Shear deflection.
RE: Shear deflection.
would this be shear strain*length (ie L/2) ? and isn't shear strain = shear stress/G
Quando Omni Flunkus Moritati
RE: Shear deflection.
However these are rather numerical formulae than analytical ones, as they are obtained via energy minimization; hope they might inspire you for something though.
prex
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RE: Shear deflection.
@ a7x1984.
Thank you for the info and Yes, there are some minor differences in wording, like dead and live loads are now called permanent and variable action respectively. They are so minor that they are unlikely to present any problem.
@ BAretired
Thank you, yes the equation I think the type of equation you were at looking was on the lines of:
Vs UDL = [Kform*pd*l^2]/(8*G*b*h)
and in Table 1 EN338 the Mean shear modulus (GMean) is given. And yes Eurocode give information what the final deflection should be, it is cover in CL7.2 and CL2.2.3 but not how to calculated the bending or shear deflection.
@ prex
Thank you for your comments, after looking at the possible solutions, I have made the decision to keep, UDL =(wx/24EI)(l^3 - 2lx^2 + x^3) and Point load (Pbx/6EIl)(l^2 - b^2 - x^2) when x<a and add the shear deflection to each point on the graph. Thank you for the link prex, very useful. I did have an look at them, but as I half way through the excel I did not want to rewrite my code.
Thank you for your help.
RE: Shear deflection.
All about Eurocodes:
www.DesignToEurocodes.com