Do part C only Figure Q2 shows a 2-dimensional truss. The area ofeach member is equal to A. The modulus of elasticityfor all members is the same and is equal to E.a) Label the elements, the movable and supporteddegrees-of-freedom (DOFs) in the figure.b) Determine the transformation matrix of allelements.c) Determine the global element stiffness matrix ofall elements (indicate the corresponding DOFs)in terms of EA.d) Assemble the system stiffness matrix (movableDOFs only)B2 m2 mFigure Q2e) 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.D1 m

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Answered: c) Determine the global element…

Engineering

Civil Engineering

c) Determine the global element stiffness matrix of all elements (indicate the corresponding DOFs) in terms of EA.

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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Question

Do part C only

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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Step 1: Assembling or globalization of all element of stiffness matrix part 1.

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