A 10-element, 6-node planar truss is shown below. Let A = 0.02 m? and E = 200 GPa for all elements.Note the spring with spring constant k, at node 6. In this quiz, you will essentially duplicate thetruss-analysis steps that we have discussed in class during this past week.Note: L=3 m, A=0.02 m², E=200 GPa150 kN233102505ks = 600 × 106 N/mkNYour task list is as follows:1. Draw a neat figure, and show all the nodal primary and secondary variables (i.e., the U's and theF's at each node).2. Derive the finite element matrix equations for this problem in the form:[K]{U} = {F}where K = B"DB.3. Apply the boundary conditions, and solve for (i) the unknown nodal displacements, (ii) the un-known reaction force components at each of the supports., and (iii) the unknown forces in eachof the elements (i.e., bars).

given L= 3m , A= 0.02m^2, F= 200Gpa

Answered: nent matrix equations for this problem…

nent matrix equations for this problem in the form: [K]{U} = {F} conditions, and solve for (i) the unknown nodal displacements, (ii) the un-

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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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

100%

A 10-element, 6-node planar truss is shown below. Let A = 0.02 m? and E = 200 GPa for all elements.
Note the spring with spring constant k, at node 6. In this quiz, you will essentially duplicate the
truss-analysis steps that we have discussed in class during this past week.
Note: L=3 m, A=0.02 m², E=200 GPa
150 kN
2
3
3
10
250
5
ks = 600 × 106 N/m
kN
Your task list is as follows:
1. Draw a neat figure, and show all the nodal primary and secondary variables (i.e., the U's and the
F's at each node).
2. Derive the finite element matrix equations for this problem in the form:
[K]{U} = {F}
where K = B"DB.
3. Apply the boundary conditions, and solve for (i) the unknown nodal displacements, (ii) the un-
known reaction force components at each of the supports., and (iii) the unknown forces in each
of the elements (i.e., bars).

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