Okay now we're in a good position to go and start building our diagrams.
So let's start off with the sheer force.
Ira it's always a good logical starting point.
We had a negative share at the base which essentially is just a reaction pushing anything right with
a magnitude of five point three five ingame which is following the loads across the structure.
There's no external load applied to that member and so the shear remains constant all the way up to
the joint at B.
Now we consider the horizontal member the shear on the left hand side of the horizontal mambo was evaluated
to be gannes isn't scales was a sketch.
It was evaluated to be fifty nine point seven seven killens.
We had a Udy L which caused the sheer force to reduce linearly at a rate of 25 killens perimeter as
we move to the right and we moved all the way to the right hand side of that mamber.
The shear had reduced all the way to a negative value of sixty five point two three.
So down like so minus sixty five point two three and then we can evaluate the horizontal reaction at
joints D was causing the shear forces step in a value of seventeen point four and that remained unchanged
all the way up to are liable to that joint.
Now we can move on to a bending motion diagram.
Gain using what we know from the sheer force diagram and our distribution.
Well we work at the moment of the base was a value of ten point five seven.
The sheer force is a straight line parallel to the axis of the structure mind bending moment.
Ira is an incline straight line incline with respect to the longest you know axis of the structure.
So that's going to be a value of minus twenty one point five three.
And a straight line between the two points.
That was ten point five seven.
Then must be moment equally won at that joint and solway of tension on the outside of the joint on the
vertical member.
It means there is tension on the top of the structure for the horizontal member mascon at the value
of minus twenty one point five three.
On the right hand side we had a value of thirty five point zero six and angle at thirty five point zero
or six.
We know the bending moment curves between those two points.
So it's a curve because sheer force diagrams and incline straight line.
The curve has a steep slope at joined B and at point C and we know the slope is zero somewhere between
those two points.
That tells me that the bending moment diagram is going to do this.
When I evaluated my bending moment at the maximum location at the maximum point in evaluated to a value
of fifty point zero two and that value was causing tension on the underside of the structure so I know
depending on which diagram drops below the structure it caused tension on the underside.
So that's going to be 50 again.
And facts that's terribly terribly out of scale.
Skip reading that.
I'm glad strage doing something like this.
Now we must have moaned equally about at that joint.
See.
And so that's also going to be about you.
Mine's thirty five point zero or six.
It's only worked at the valley down here causing tension on the opposite side of the structure was seventeen
point one and three and with a straight line between those two.
And that is our bending moment diagram.
Okay.
Last thing to do is draw on air quality to deflect that shape.
And also our reactions.
So our reactions aren't we worked.
This was going to be fifty nine point seven seven and we get it directly from the sheer force on the
left hand side of member ABC.
The vertical reaction on the right was sixty five point two three and again directly frahm determine
the sheer force on the right hand side of mamber ABC.
We worked at the horizontal reaction.
Here was five point three five.
And on this side was seventeen point one tree.
All right.
Now remember we start with this propping force the very start.
Well it turns out that propping force is going to act it to the right.
And that as a magnitude of seventeen point one three minus five point three five which is going to be
eleven point seven eight.
Kill any and Kate.
So what's that telling you that tells me that the structure was to deflect to the left and our propping
force at sea or a prop at sea is pulling it back to the right is holding it back.
Right.
So the whole thing wants to deflect the left.
If that raw support was not there now we khinjan our deflected shape pretty straight forward deflect
that shape.
Again referring back to a bending mommer diagram for the location of our points of counter flag sure
so we got one here.
Got one here.
Our We've got one here and notice this side out arm of the structure.
That tension is occurring.
So let me see.
We're gonna end up grids so they must deal with the vertical members first tension on the outside the
top is gonna give me something like this.
We passed sure Point Counter flexor which is a point of zero bending moment which is given here and
then that tension switches to the inside of the structure.
So women have tension here and tension out here.
And the same pattern of behaviour happens for the right vertical member.
Sturtz Going out that way point counter lecture and then it comes back in with tension flicking over
to the inside standing on the outside at the top.
Now if there's tension on the outside of the top of both vertical members it means as well as focus
on joint B first.
If I have tension on the outside here it means I must have tension on the top here and so I'm gonna
end up with an That's also confirmed by my bending moment diagram.
So we're going to have something that looks like at this point of counter flesher same happening on
this side.
WHITE of county flasher.
With tension on top.
Let me draw any tension on top here and then we flick the tension on the underside which is shown here.
So that is our deflected shape.
Our air quality of deflective deflected shape.
Not specifying magnitudes of the flexions I'm just saying approximately speaking.
What would the deflected shape look like for the structure so that deflects the chain is completely
consistent with that bending mode diagram.
So once again summarize what you're looking for here is what side is tension occurring on.
And where are my points of counter flexer.
That's usually enough information to go straight from that diagram down to that diagram in terms of
deflected shape.
Okay so that more or less wraps up that one.