cosine distribution

[ABV97]

Hi,
I am dealing with a beam having a reaction moment in the middle of the beam. Beam is simply supported. Assumption is that the load have a cosine distribution with a running load w = (pi*2 x M)/L*2 x 2 [lb/in].
Does anybody know where can I find more information about cosine load distribution, confirming that formula?

Thank you in advance all

 

[rb1957]

so the beam is fwd/aft ?

is the beam an I section with a G extrusion welded onto it (so the extrusion is supporting the I beam) ?

if the box has a slot in it (for the G extrusion) how is the box attached to the extrusion ?

Quando Omni Flunkus Moritati

 

[ABV97]

...the beam is fwd/aft oriented, G extrusion is welded on the bottom of the box and the box and the G extrusion with his slot facing down slides over the I extrusion....than having stops in the front and aft and the box is completely fixed...

 

[rb1957]

"having stops in the front and aft and the box is completely fixed" this sounds like there are discrete (two?) attachments between the box and the beam ... so i think you can represent the beam loading as either ...

1) a simple couple at the discrete attmts (interpolate, linear varying, if more than 3)
2) discrete tension loads and linear varying compression (contact)

a full wave cosine distribution (peaks at ends) sounds overly and unnecessarily complicated; but you could apply this loading ... just make the toatl moment of the applied load equal to the applied ... should be easy enough.

Quando Omni Flunkus Moritati