prepaid by: 130670106502 130670106503 review conjugate beam method
TRANSCRIPT
Prepaid by: 130670106502 130670106503
Review Conjugate beam
method
Review Conjugate beam
method
Con
jug
ate
-Beam
Su
pp
ort
s
EIEIM
EIV
BB
BB
5.14062)25(
5.562
5.562
'
'
Review Example 1Find the deflection at Point B
Review Example 2
EIEIEIMCC
162)3(
63)1(
27'
Find the deflection at Point C
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
degree 2
ateindetermin Statically )1(35
1
5
nd
n
r
degree 4
ateindetermin Statically )2(310
2
10
th
n
r
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
0
0
BByB
BByBB
BBB
fB
fB
tcoefficienyflexibilitfBB
+
Note 1
Compatibility Equation
+
0
0
AAAA
AAAAA
AAA
M
M
tcoefficienyflexibilitAA
Note 2
Compatibility Equation
Note 3
0
0
CCyCByC
BCyBByB
fCfB
fCfB