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
Related questions
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F407209e2-4e10-4c65-8cdb-a4c5ebf7292e%2F2d5fd35c-6aba-4914-bca3-fd42bf5f14d3%2Ftageu_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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