(a) How do you assess the accuracy of a finite element solution for a problem with an unknown solution? In order to use the new finite element software properly what is the "correct" procedure for the users to follow and why?

Structural Analysis
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Chapter2: Loads On Structures
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A2.
(a) How do you assess the accuracy of a finite element solution for a problem
with an unknown solution? In order to use the new finite element software
properly what is the "correct" procedure for the users to follow and why?
(b) A two-dimensional truss structure depicted in Fig. A2 is analyseu w obtain
displacements, reaction forces, strains, and stresses. The global node
numbers are circled while element numbers are in boxes.
a. Please
correspondence table with reference to Fig. Á2.
b. Give the size of the global structural stiffness matrix.
construct the element-to-global
displacement
10
Y
17
IS
O 16
13
Fig. A2: A two-dimensional truss structure with node and element numbers.
2 -
(c) Use Galerkin's method of weighted residuals to obtain an approximate
solution of the differential equation:
:- 10x² = 5
Osxsl
with boundary conditions y(0) = y(1) = 0.
Assuming a polynomial form for the solution as:
y*(x) = , + Gx + c,x
Transcribed Image Text:A2. (a) How do you assess the accuracy of a finite element solution for a problem with an unknown solution? In order to use the new finite element software properly what is the "correct" procedure for the users to follow and why? (b) A two-dimensional truss structure depicted in Fig. A2 is analyseu w obtain displacements, reaction forces, strains, and stresses. The global node numbers are circled while element numbers are in boxes. a. Please correspondence table with reference to Fig. Á2. b. Give the size of the global structural stiffness matrix. construct the element-to-global displacement 10 Y 17 IS O 16 13 Fig. A2: A two-dimensional truss structure with node and element numbers. 2 - (c) Use Galerkin's method of weighted residuals to obtain an approximate solution of the differential equation: :- 10x² = 5 Osxsl with boundary conditions y(0) = y(1) = 0. Assuming a polynomial form for the solution as: y*(x) = , + Gx + c,x
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