So now that you have a better idea of what we mean when we say sway and sway frain we can no go and
start analyzing these types of structures.
Now you'll see that each question in this section has been divided up into three separate videos and
that's really just to help you navigate your way more efficiently through this section.
So the analysis of a non sway frame essentially can be broken or broadly speaking into three different
sections.
The first thing you would do is complete your moment distribution.
This would then be followed by some free body diagrams so that you can determine the shear forces at
various different points in your frame and span moments that you might be interested in.
And then the third section would be actually driving that sheer forestieri round the bending moment
diagram to deflect the shape.
So I've divided up each question along those lines into separate videos as I say it's really just to
help you navigate your way more effectively or more efficiently.
True the section.
So before we can jump into the analysis there are a couple of assumptions that we need to get clear
in our minds.
The first assumption that applies to all of our analysis is that there is no actual change in length
of any of our members.
Now the thing that separates or one of the things that separates a frame from a beam type structure
is that the members within the frame can experience a lot.
So if you think of the simple case of a horizontal beam supported by two columns the shear forces each
other end of that being will be transmitted as axi allowed into the supporting columns.
Now if there is actually alone in those columns there will be some change in length.
No we're assuming that there is no change in length because the magnitude of that change a light will
be negligibly small when compared with and deflections that occur in our frames.
You too bending.
So it's a reasonable assumption to make and it has no significant impact on the accuracy of our analysis.
Now the second assumption is that our joints remain rigid.
Now what we mean by this is that the angles between members meeting at a joint are maintained after
loading and deflection has occurred.
So if the angle between two members was 90 degrees before loading was applied the at the joint after
loading has been applied and deflection has occurred at that point.
The angle will still be 90 degrees so our joints are essentially just behaving as rigid blocks.
And again that's a reasonably
accurate assumption in the sense that in real life structures you do tend to get a lot of rigidity at
the joint and that's certainly the case with their concrete structures.
More so let's say than steel structures.
So it would housekeeping issues.
The way we can proceed with the analysis remember attend everything first yourself before you watch
me work my way through the solution.