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![Page 1: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/1.jpg)
Supports
TUTORIAL 3
to answer just click on the button or image related to the answer
![Page 2: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/2.jpg)
Question 1 how many reactions can be producedby a fixed support? What are they?
2 – horizontal, verticala
3 – horizontal, vertical, moment b
more c
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Question 2
1 - verticala
how many reactions can be producedby a simple support? What are they?
2 – horizontal, vertical b
3 – horizontal, vertical & moment c
![Page 4: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/4.jpg)
Question 3
1 - verticala
how many reactions can be producedby a roller support? (pinned at top)
2 – vertical,
horizontal b
3 – vertical, horizontal,
moment
c
![Page 5: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/5.jpg)
Question 4
1 - verticala
how many reactions can be producedby a pinned (hinged) support? What are they?
2 – vertical, horizontal b
3 – vertical, horizontal,
moment c
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Question 5
1 - verticala
2 – vertical, horizontal b
3 – vertical, horizontal, moment c
how many reactions can be producedby the structural system shown? What are they
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Question 6 What does structurally determinate mean ?
structure has 3 reactions a
can use just the 3 equations of staticequilibrium to calculate reactions
c
a and b d
b reactions cannot be calculated usingthe 3 equations of static equilibrium alone
a and c e
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how many reactions can be producedby the structural system shown? Draw them
Question 7a
1a
2 b
3 c
4 d
simple support
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Question 7b is the system?
statically determinatea
statically indeterminate b
a mechanism c
simple support
![Page 10: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/10.jpg)
how many reactions can be producedby the structural system shown? Draw them
Question 8a
1a
2 b
3 c
4 d
pin joints
![Page 11: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/11.jpg)
Question 8b is the system?
statically determinatea
a mechanism c
pin joints
statically indeterminate b
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how many reactions can be producedby the structural system shown? Draw them
Question 9a
2 a
4 b
6 c
simply supported
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Question 9b
is the system?
statically determinatea
statically indeterminate b
a mechanism c
simply supported
![Page 14: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/14.jpg)
how many reactions can be producedby the structural system shown? Draw them
Question 10a
2 a
3 b
4 c
6 d
![Page 15: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/15.jpg)
Question 10b
is the system?
statically determinatea
statically indeterminate b
a mechanism c
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how many reactions can be producedby the structural system shown? Draw them
Question 11a
1a
2 b
3 c
more d
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Question 11b is the system?
statically determinatea
statically indeterminate b
a mechanism c
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next question
enough !
H
V
M
a fixed support can have 3 reactionshorizontal H, Vertical V and moment M
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let me try again
let me out of here
try harder
we are talking about a fixed support
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let me try again
let me out of here
we are talking about just one support
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next question
enough !
a simple support can only have 1 reaction - just a vertical, V. If you apply a force horizontally - it moves
V
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let me try again
let me out of here
we are talking about a simple support
(think what happens if you apply a force horizontally)
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let me try again
let me out of here
we are talking about a simple support
(think what happens if you apply a force horizontally.Think what happens to the ends. Do they go up –i.e. they rotate?
If they do then there is no moment reaction)
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next question
enough !
a roller support can only have 1 reaction - just a vertical, V. If you apply a force horizontally - it moves
and since it is pinned it can’t produce a moment reaction
V
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let me try again
let me out of here
we are talking about a roller support
(think what happens if you apply a force horizontally what happens if you push someone on roller skates – do they resist?)
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let me try again
let me out of here
we are talking about a roller support
(think what happens if you apply a force horizontally what happens if you push someone on roller skates – do they resist?
Since it is pinned what happens if you apply a force to a hinge – does it rotate or resist? Think of opening a door)
![Page 27: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/27.jpg)
next question
enough !
a hinged support can only have 2 reactions - a vertical, V. and a horizontal, H
It can’t produce a moment reaction
V
H
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let me try again
let me out of here
we are talking about a hinged support
(think what happens if you apply a force horizontally can it come off the hinge? What happens if you pull a door?)
![Page 29: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/29.jpg)
let me try again
let me out of here
we are talking about a pinned support
(think what happens if you apply a force horizontally can it come off the hinge? What happens if you pull a door?
Since it is pinned what happens if you apply a force to a hinge – does it rotate or resist? Think of opening a door)
![Page 30: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/30.jpg)
next question
enough !
this is a rigid supportRemember Question 1?
VH
V
M
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let me try again
let me out of here
we are talking about a fixed support
(remember Question 1?) Does it pull out of the wall? Does it spin/rotate?
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That’s it exactly. A statically determinate structure is one that can produce exactly 3 reactions.
Statically determinate means just that:You can use the 3 equations of static equilibrium to calculate the reactions
next question
enough !
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let me try again
let me out of here
that’s part of the story
what would happen if there were 2 reactions, or 4?think of the word ‘determinate’ – what does that mean?
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let me try again
let me out of here
statically determinate
what would happen if there were 2 reactions, or 4?think of the word ‘determinate’ – what does that mean?
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that’s it exactly!
next question
enough !
3 reactions for the rigid support (V, H, M) and 1 for the simple support (V) makes 4 altogether
simple support
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let me try again
let me out of here
THINK !!
how many reactions can a cantilever produce?how many reactions can a simple support produce?
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that’s it exactly!
next question
enough !
more than 3 reactions makes a system statically indeterminate,meaning that the reactions cannot be determined
by the 3 equations of static equilibrium
simple support
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let me try again
let me out of here
THINK !!
how many equations of static equilibrium are here?therefore what make a system statically determinate?
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let me try again
let me out of here
THINK !!
what makes a mechanism?(when ‘structure’ cannot provide the necessary reactions)
how many reactions have we got?
![Page 40: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/40.jpg)
that’s it exactly!
next question
enough !
2 reactions (V, H) for each pin jointed support makes 4 altogether
pin joints
![Page 41: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/41.jpg)
let me try again
let me out of here
THINK !!
how many reactions can one pin joint produce? how many pin joints are there?
![Page 42: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/42.jpg)
that’s it exactly!
next question
enough !
more than 3 reactions makes a system statically indeterminate.that means the reactions cannot be determined
by the 3 equations of static equilibrium
pin joints
![Page 43: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/43.jpg)
let me try again
let me out of here
THINK !!
how many equations of static equilibrium are here?therefore what make a system statically determinate?
![Page 44: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/44.jpg)
let me try again
let me out of here
THINK !!
what makes a mechanism?(when ‘structure’ cannot provide the necessary reactions)
how many reactions have we got?
![Page 45: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/45.jpg)
that’s it exactly!
next question
enough !
1 reaction (V) for each simple support makes 2 altogether
simply supported
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let me try again
let me out of here
THINK !!
If you push from the side what happens? Does it resist?Is there anything to prevent the ends from rotating?
So how many reactions can one simple support produce?how many simple supports are there?
![Page 47: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/47.jpg)
that’s it exactly!
next question
enough !
less than 3 reactions makes a system a mechanism.If you push from the side, the beam will move (slide). This is a mechanism
simply supported
![Page 48: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/48.jpg)
let me try again
let me out of here
THINK !!
How many reactions do you need to make a system statically determinate?How many reactions do you need to make a system statically indeterminate?
![Page 49: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/49.jpg)
that’s it exactly!
next question
enough !
3 reactions for each rigid joint (V, H, M) makes 6 altogether
![Page 50: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/50.jpg)
let me try again
let me out of here
THINK !!
how many reactions can a rigid support produce?how many rigid supports are there?
![Page 51: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/51.jpg)
that’s it exactly!
next question
enough !
more than 3 reactions makes a system statically indeterminate,meaning that the reactions cannot be determined by just
using the 3 equations of static equilibrium
![Page 52: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/52.jpg)
let me try again
let me out of here
THINK !!
What makes a system a mechanism?How many reactions do you need to make a system statically determinate?
How many reactions do you need to make a system statically indeterminate?
![Page 53: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/53.jpg)
that’s it exactly!
next question
enough !
2 reactions for the pin joint (V, H) and 1 for the roller (V) makes 3 altogether
![Page 54: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/54.jpg)
let me try again
let me out of here
THINK !!
how many reactions can a pin joint produce?how many reactions can a roller support produce?
So how many reactions are there in total?
![Page 55: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/55.jpg)
that’s it exactly!
the END
3 reactions makes a system statically determinate,meaning that the reactions can be determined by just
using the 3 equations of static equilibrium
![Page 56: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/56.jpg)
let me try again
let me out of here
THINK !!
What makes a system a mechanism?How many reactions do you need to make a system statically determinate?
How many reactions do you need to make a system statically indeterminate?
![Page 57: Supports TUTORIAL 3 to answer just click on the button or image related to the answer.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649c745503460f9492656f/html5/thumbnails/57.jpg)