The following two step bar is subjected to an axial load P. The cross-section of the bar is rectangle with a thickness of t=4.9mm, and the Young's modulus is E=88 GPa. Using two elements with equal lengths, find the stiffness matrix of both elements. Suppose that the stiffness matrices are in the form of а K₁= [Ca -a what is the value of a + b? (Hint: The stiffness matrix of each element should be obtained in N/m) 0.1 m aN/m, K₂= 0.5 m b [b b 2 0.0 0.5 m

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.3.5P: A vertical bar is loaded with axial loads at points B, C, and D. as shown in the figure. The bar is...
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The following two step bar is subjected to an
axial load P. The cross-section of the bar is
rectangle with a thickness of t=4.9mm, and the
Young's modulus is E=88 GPa. Using two
elements with equal lengths, find the stiffness
matrix of both elements. Suppose that the
stiffness matrices are in the form of
b
-a] N/m₂ K₂= -[
а
-b
what is the value of a + b? (Hint: The
stiffness matrix of each element should be
obtained in N/m)
a
= [4
K₁=
2
0.1 m
-a
0.5 m
20
0.5 m
0.0
Transcribed Image Text:The following two step bar is subjected to an axial load P. The cross-section of the bar is rectangle with a thickness of t=4.9mm, and the Young's modulus is E=88 GPa. Using two elements with equal lengths, find the stiffness matrix of both elements. Suppose that the stiffness matrices are in the form of b -a] N/m₂ K₂= -[ а -b what is the value of a + b? (Hint: The stiffness matrix of each element should be obtained in N/m) a = [4 K₁= 2 0.1 m -a 0.5 m 20 0.5 m 0.0
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