Prepaid by: 130670106502 130670106503 Review Conjugate beam method.
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Transcript of Prepaid by: 130670106502 130670106503 Review Conjugate beam method.
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Prepaid by: 130670106502 130670106503
Review Conjugate beam
method
![Page 2: Prepaid by: 130670106502 130670106503 Review Conjugate beam method.](https://reader035.fdocuments.net/reader035/viewer/2022062314/56649ec05503460f94bcc047/html5/thumbnails/2.jpg)
Review Conjugate beam
method
![Page 3: Prepaid by: 130670106502 130670106503 Review Conjugate beam method.](https://reader035.fdocuments.net/reader035/viewer/2022062314/56649ec05503460f94bcc047/html5/thumbnails/3.jpg)
Con
jug
ate
-Beam
Su
pp
ort
s
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![Page 5: Prepaid by: 130670106502 130670106503 Review Conjugate beam method.](https://reader035.fdocuments.net/reader035/viewer/2022062314/56649ec05503460f94bcc047/html5/thumbnails/5.jpg)
EIEIM
EIV
BB
BB
5.14062)25(
5.562
5.562
'
'
Review Example 1Find the deflection at Point B
![Page 6: Prepaid by: 130670106502 130670106503 Review Conjugate beam method.](https://reader035.fdocuments.net/reader035/viewer/2022062314/56649ec05503460f94bcc047/html5/thumbnails/6.jpg)
Review Example 2
EIEIEIMCC
162)3(
63)1(
27'
Find the deflection at Point C
![Page 7: Prepaid by: 130670106502 130670106503 Review Conjugate beam method.](https://reader035.fdocuments.net/reader035/viewer/2022062314/56649ec05503460f94bcc047/html5/thumbnails/7.jpg)
Determinacy & Stability
• Determinacy: when all the forces in structure can be determined from equilibrium equation , the structure is referred to as statically determinate. Structure having more unknown forces than available equilibrium equations called statically indeterminate
• If n is number of structure parts & r is number of unknown forces:
r = 3n, statically determinate r > 3n, statically indeterminate
![Page 8: Prepaid by: 130670106502 130670106503 Review Conjugate beam method.](https://reader035.fdocuments.net/reader035/viewer/2022062314/56649ec05503460f94bcc047/html5/thumbnails/8.jpg)
degree 2
ateindetermin Statically )1(35
1
5
nd
n
r
degree 4
ateindetermin Statically )2(310
2
10
th
n
r
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Force Method: General Procedure
1.Determine the number of redundant reactions
2.Remove enough redundants to form a determinate structure
3.Calculate the displacements that the known loads cause in the determinate structure
4.Calculate displacements at the same points in the determinate structure due to the redundants
5.The sum of the displacements calculated in steps (3) and (4) must be equal to the displacements at the actual indeterminate structure
6.Use equilibrium to determine the remaining reactions
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0
0
BByB
BByBB
BBB
fB
fB
tcoefficienyflexibilitfBB
+
Note 1
Compatibility Equation
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+
0
0
AAAA
AAAAA
AAA
M
M
tcoefficienyflexibilitAA
Note 2
Compatibility Equation
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Note 3
0
0
CCyCByC
BCyBByB
fCfB
fCfB