The general form of the element stiffness matrix system, with nodes indexed by i and j, is given as, - FO AE 1 L [47] {"; } = {FNG)(x) dx} + {N, (1)f(1) = N;(0) FO where F0 and f(1) denote boundary forces at positions x = 0 and x = 1, respectively. Form the two basis functions for element 2, and evaluate the right hand side vector of the matrix system 2 to form the local system of equations for element 2. Then use the local system for element 1 given by (3) 410-{2} -1] Ju₁) (2500- FO 2500 ¹ to form and solve the global system of equations for u₁, u₂ and u3. AE 1 L

The general form of the element stiffness matrix system, with nodes indexed by i and j, is given as, - FO AE 1 L [47] {"; } = {FNG)(x) dx} + {N, (1)f(1) = N;(0) FO where F0 and f(1) denote boundary forces at positions x = 0 and x = 1, respectively. Form the two basis functions for element 2, and evaluate the right hand side vector of the matrix system 2 to form the local system of equations for element 2. Then use the local system for element 1 given by (3) 410-{2} -1] Ju₁) (2500- FO 2500 ¹ to form and solve the global system of equations for u₁, u₂ and u3. AE 1 L

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

The general form of the element stiffness matrix system, with nodes indexed by i and j, is given
as,
AE
1
4[47] {u} =
L
S; N¡(x)l(x)dx \ __ [N;(1)ƒ(1) – N;(0) FO
N₁(x)l(x)dx] [N₂(1)ƒ(1) – N₂(0) Fo]'
+
(2)
Xi
0 and x = 1, respectively. Form the
where F0 and f(1) denote boundary forces at positions x =
two basis functions for element 2, and evaluate the right hand side vector of the matrix system
2 to form the local system of equations for element 2. Then use the local system for element 1
given by
AE
U
4€ [11] {2}={
L
U2
to form and solve the global system of equations for u₁, u2₂ and u3.
2500 - FO
2500
FO}
(3)

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