Answered: Determine the axial stress in the…

Determine the axial stress in the bar-type finite element shown in the truss shown in the figure. Consider P = 9 810 N, E = 200,000 MPa, A = 400mm^2, L2 = 2 000 mm, k1 = = 40 x 10^3 N/mm

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 axial stress in the bar-type finite element
shown in the truss shown in the figure. Consider
P = 9810 N,
E = 200,000 MPa,
A = 400mm^2,
L2= 2 000 mm,
k1 = 40 x 10^3 N/mm
0 (2)
=
3
2
MPa
15.75 MPa
24.54 MPa
55.63 MPa
46.46 MPa
2
32.55 MPa
YA
X
6=150°
1
P

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Step 1: Write the given data and what is to find

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Step 2: Determine the element stiffness matrix:

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Step 3: Write the global stiffness matrix:

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Step 4: Apply the boundary conditions to determine the u and v displacements of node 1:

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