Plane Frame
2D Assembly of straight members
Connected by rigid/pin connections
Loads & reactions in the place of structure
Global Coordinate System; X-Y
Local Coordinate System: x along the member
y perpendicular to the member
z out of plane
Note: Each Jo
Developing Computer Program
for the Analysis of Frames
Program Overview
Input Block:
Enter Structural ProperAes.
Degrees of Freedom GeneraAon Block
SAness Matrix Block GeneraAon Block
Load Vector FormaAon Blocks
Calcul
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a) Space Truss
5+%xnn
YDispluCCd poxition
EA = constant
(:1) Member Forces and Displacemcnts
in the Local Coordinate System
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(b) Analytical Model
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i
Finite Element Formulation Using Virtual Work
!Displacement Function
(1st
BC)
(2nd
BC)
(3rd
BC)
(4th
BC)
Shape Function
Strain-Displacement Relationship
Member Stiffness Matrix, K
Member Fixed-End Forces due to Loads
Boundary Conditions:
Displacement and
PlaneFrame
2D Assembly of straight members
Connected by rigid/pin connections
Loads & reactions in the place of structure
Global Coordinate System; X-Y
Local Coordinate System: x along the member
y perpendicular to the member
z out of plane
Note:EachJoint