4 ft -3 ft- (a)

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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Determine the structure stiffness matrix for the two-member truss as shown. AE is constant.

4 ft
-3 ft-
(a)
Transcribed Image Text:4 ft -3 ft- (a)
Expert Solution
Step 1

To determine the structural stiffness matrix for two member truss as shown AE

Mechanical Engineering homework question answer, step 1, image 1

 

Step 2

Calculation of length of the member 2L = 32+42 = 25 = 5ft

λx = Xj-XiL , λy = Yj-YiLFor the member (1) λx = 3-03 = 1 λy = Yj-YiL = 0For the member (2) λx = Xj-XiL= 3-05= 35λy =Yj-YiL =4-05 = 45Stiffness matrix for the member (1)K1 = AEL[λx2λxλy-λx2-λxλyλyλxλy2-λyλx-λy2-λx2-λxλyλx2λxλy-λyλx-λy2λyλxλy2]Substitute the respective values in the stifness matrixK1 = AE3[10-100000-101200000]

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