No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines...
Transcript of No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines...
![Page 1: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/1.jpg)
1
Influence Line Diagrams-II
Theory of Structures - I
![Page 2: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/2.jpg)
2
Contents Qualitative Influence Lines
Influence lines for Girders
Influence Lines for Trusses
![Page 3: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/3.jpg)
3
Qualitative Influence Lines In 1886, Heinrich Muller-Breslau developed a
technique for rapidly constructing influence lines.
It states“the influence line for a function (reaction, shear or moment) is to be the same scale as the deflected shape of the beam when the beam is acted upon by that function”
![Page 4: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/4.jpg)
4
In order to draw deflected shape properly, the capacity of the beam to resist the applied function must be removed so the beam can deflect when the function is applied.
A
A
Ay
Ay
xInfluence line for Ay
REACTION
![Page 5: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/5.jpg)
5
CSHEAR
Vc
Vc
Deflected Shape
![Page 6: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/6.jpg)
6
CMOMENT
Deflected Shape
![Page 7: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/7.jpg)
7
Proof: Reaction
A Ay
x
1y’
1
y
Work = Force . Displacement
= Moment . Rotational displacement
C C
'
;1
0'.1
yy
y
yyy
A
A
![Page 8: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/8.jpg)
8
C
SHEAR
Vc
Vc
'
;1
0'.1
yc
y
yyc
V
V
y’1
1
![Page 9: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/9.jpg)
9
C
MOMENT
Deflected Shape
Mc Mc
y’
1
1'
;1
0'.1
yc
yc
M
M
![Page 10: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/10.jpg)
10
Example 6-9
![Page 11: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/11.jpg)
11
![Page 12: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/12.jpg)
12
![Page 13: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/13.jpg)
13
Practice Problems Example 6-9 to 6-12
Chapter 6
Structural Analysis by R C Hibbeler
![Page 14: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/14.jpg)
14
Influence Lines for Girders
![Page 15: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/15.jpg)
15
Unit load on the slab is transferred to the girder only at points where it is in contact with the floor beams.
A, B, C and D are panel points and the region between these points is known as panel.
![Page 16: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/16.jpg)
16
![Page 17: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/17.jpg)
17
![Page 18: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/18.jpg)
18BP
BP
FFVsdFdFM
1
1 )(
![Page 19: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/19.jpg)
19
Moment will depend on where the point p is located but shear will remain same in the whole panel.
Influence line for shear in floor girders are specified for panels in the girder and not specific points along the girder.
Shear is referred to panel shear.
![Page 20: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/20.jpg)
20
Since the girder is affected only by the loadings transmitted by the floor beams, the unit load is generally placed at each floor-beam location to establish the necessary data used to draw the influence line.
![Page 21: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/21.jpg)
21
Example 6-13
![Page 22: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/22.jpg)
22
![Page 23: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/23.jpg)
23
x VCD
0 0.33310 020 -0.33330 0.33340 0
![Page 24: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/24.jpg)
24
Practice Problems Example 6-13 to 6-14
Chapter 6
Structural Analysis by R C Hibbeler
![Page 25: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/25.jpg)
25
top cord
deck
sway bracing
top lateralbracing
stringers
portal end post
portalbracing
panel
floor beam
bottom cord
Truss
![Page 26: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/26.jpg)
26
Example 6-15
![Page 27: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/27.jpg)
27
![Page 28: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/28.jpg)
28
x FGB
0 010 0.35420 -0.70730 -0.35440 0
![Page 29: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/29.jpg)
29
Practice Problems Example 6-15 to 6-17
Chapter 6
Structural Analysis by R C Hibbeler
![Page 30: No Slide Title€¦ · PPT file · Web view2014-03-01 · * Contents Qualitative Influence Lines Influence lines for ... y’ 1 1 * Example 6-9 * * * Practice Problems Example 6-9](https://reader031.fdocuments.in/reader031/viewer/2022021902/5b9333f209d3f280378cc856/html5/thumbnails/30.jpg)
30