What is the formula for calculating frame deflection in a beam problem?

[hatchelhoff]

Homework Statement

Homework Equations

The answer in the book is (4F(L^3))/3EI

The Attempt at a Solution

I felt the above question could be simplified into a standard beam problem. I choose the following beam.

I used the Yc equation, but when I replace a with L I get an answer of (2FL(^3))/3EI
[/B]

 

[pongo38]

You seem to be ignoring the deflection of E in the y direction. That will increase the deflection at C.

Homework Statement

View attachment 215748

Homework Equations

The answer in the book is (4F(L^3))/3EI

The Attempt at a Solution

I felt the above question could be simplified into a standard beam problem. I choose the following beam.
View attachment 215749

I used the Yc equation, but when I replace a with L I get an answer of (2FL(^3))/3EI[/B]

 

[hatchelhoff]

You seem to be ignoring the deflection of E in the y direction. That will increase the deflection at C.

Thanks pongo38. I have taken into account the deflection at E due to F and due to Ra. this gives me 2FL(^3))/3EI.
I then add this to the deflection at F. This gives me a total of 4FL(^3))/3EI.