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d) Assemble the system stiffness matrix (movable DOFs only)

d) Assemble the system stiffness matrix (movable DOFs only)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Part D

Figure Q2 shows a 2-dimensional truss. The area of each member is equal to A. The modulus of elasticity for all members is the same and is equal to E. a) Label the elements, the movable and supported degrees-of-freedom (DOFs) in the figure. b) Determine the transformation matrix of all elements. c) Determine the global element stiffness matrix of all elements (indicate the corresponding DOFs) in terms of EA. d) Assemble the system stiffness matrix (movable DOFs only) B 2 m 2 m Figure Q2 e) Determine the displacements under the action of P in terms of P and EA. f) Determine the axial force on each member in terms of P. D 1 m
Transcribed Image Text:Figure Q2 shows a 2-dimensional truss. The area of each member is equal to A. The modulus of elasticity for all members is the same and is equal to E. a) Label the elements, the movable and supported degrees-of-freedom (DOFs) in the figure. b) Determine the transformation matrix of all elements. c) Determine the global element stiffness matrix of all elements (indicate the corresponding DOFs) in terms of EA. d) Assemble the system stiffness matrix (movable DOFs only) B 2 m 2 m Figure Q2 e) Determine the displacements under the action of P in terms of P and EA. f) Determine the axial force on each member in terms of P. D 1 m
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