a. Compute the total stiffness matrix [K] of the assemblage shown in Figure P3–1 by superimposing the stiffness matrices of the individual bars. Note that [K] should be in terms of A1, A2, A3, E1, E2, E3, L1, L2, and L3. Here A, E, and Lare generic symbols used for cross-sectional area, modulus of elasticity, and length, respectively. A. Ej. L A. E, L2 Ay, Ey. L Figure P3-1 b. Now let A1 = A2 = A3 = A, E1 = E2 = E3 = E, and L1 = L2 = L3 = L. If nodes 1 and 4 are fixed and a force P %| acts at node 3 in the positive x direction, find expressions for the displacement of nodes 2 and 3 in terms of A, E, L, and P.

a. Compute the total stiffness matrix [K] of the assemblage shown in Figure P3–1 by superimposing the stiffness matrices of the individual bars. Note that [K] should be in terms of A1, A2, A3, E1, E2, E3, L1, L2, and L3. Here A, E, and Lare generic symbols used for cross-sectional area, modulus of elasticity, and length, respectively. A. Ej. L A. E, L2 Ay, Ey. L Figure P3-1 b. Now let A1 = A2 = A3 = A, E1 = E2 = E3 = E, and L1 = L2 = L3 = L. If nodes 1 and 4 are fixed and a force P %| acts at node 3 in the positive x direction, find expressions for the displacement of nodes 2 and 3 in terms of A, E, L, and P.

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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Question

a. Compute the total stiffness matrix [K] of the
assemblage shown in Figure P3–1 by superimposing
the stiffness matrices of the individual bars. Note that
[K] should be in terms of A1, A2, A3, E1, E2, E3, L1, L2,
and L3. Here A, E, and Lare generic symbols used for
cross-sectional area, modulus of elasticity, and
length, respectively.
A. Ej. L
Az. E, L
Ay, Ey. L,
Figure P3-1
b. Now let A1 = A2 = A3 = A, E1 = E2 = E3 = E, and L1
= L2 = L3 = L. If nodes 1 and 4 are fixed and a force P
acts at node 3 in the positive x direction, find
expressions for the displacement of nodes 2 and 3 in
terms of A, E, L, and P.

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