Effect of transverse horizontal force as couple force on base 2

[Rafi384]

Dear all,

We have a frame (3 meter High X 4 meter long) as can be seen in attached picture. Left base of column is restrained in X & Y (horizontal and vertical) and other end ( right) is allowed to move in horizontal direction and has only Y constraint.
A force of 1000N is acting in middle of horizontal member.
As expected most of the load is being transferred to left support in horizontal direction. Now as load is being applied eccentrically, it will try to produce moment. This moment is being translated into couple force in Y ( vertical direction) almost equal in value and opposite in direction.
When i am reducing the length of column, couple force reduces and when i increase distance between column (horizontally), this value decreases.
Can any body help me in finding the formula explaining this relationship. I am unable to recall any formula and may be any of you guys can help me

 

[KootK]

Vert Column Reaction = Load x frame height / frame width.

I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.

 

[gruntguru]

Assuming rigid frame and no moments (pin joint at support).

je suis charlie

 

[Rafi384]

Thanks KootK and gruntguru.
actually i forgot to assume that i need to consider this body as rigid and got confused. your posts helped me to recall engineering statics
Regards
Rafiullah