y1/4F₁X1(У1Y₂Y₁1/4F2X21Matrix and DeterminantsDisplacement y = y(x)911:) = *- ( ²17 1/437111/4Y₂ УзF3X317K 11 16 11 F₂FDue to three forces F₁, F2 and F3 appliedperpendicular a beam is displaced, as indicated in1/4the figure. The relationship between the appliedforces and the displacements can be expressed asXwith K ==[³768 E IFor the three forces applied, F₁ = 2000 N, F₂ =4000 N and F3 = 3000 N, determine thedisplacements y₁, Y2 and y3. Assume a beamlength | = 1 m, and the product E-I = 5.10¹0N/mm².Use for your calculations two decimal places andstate your result as a vector including units.

Given: To find: Displacements y1, y2, y3

Due to three forces F₁, F2 and F3 applied perpendicular a beam is displaced, as indicated in the figure. The relationship between the applied forces and the displacements can be expressed as У1 Y₂ = K Y3 11 7 9 11 16 11 7 11 9 F₁ F₂ F3/ with K = 1³ 768 E I . For the three forces applied, F₁ = 2000 N, F₂: 4000 N and F3 = 3000 N, determine the displacements y₁, Y2 and y3. Assume a beam length I = 1 m, and the product E•l = 5.10¹0 N/mm². ||

Due to three forces F₁, F2 and F3 applied perpendicular a beam is displaced, as indicated in the figure. The relationship between the applied forces and the displacements can be expressed as У1 Y₂ = K Y3 11 7 9 11 16 11 7 11 9 F₁ F₂ F3/ with K = 1³ 768 E I . For the three forces applied, F₁ = 2000 N, F₂: 4000 N and F3 = 3000 N, determine the displacements y₁, Y2 and y3. Assume a beam length I = 1 m, and the product E•l = 5.10¹0 N/mm². ||

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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Question

y
1/4
F₁
X1
(У1
Y₂
Y₁
1/4
F2
X2
1
Matrix and Determinants
Displacement y = y(x)
9
11
:) = *- ( ²17 1/4
3
7
11
1/4
Y₂ Уз
F3
X3
1
7
K 11 16 11 F₂
F
Due to three forces F₁, F2 and F3 applied
perpendicular a beam is displaced, as indicated in
1/4
the figure. The relationship between the applied
forces and the displacements can be expressed as
X
with K =
=
[³
768 E I
For the three forces applied, F₁ = 2000 N, F₂ =
4000 N and F3 = 3000 N, determine the
displacements y₁, Y2 and y3. Assume a beam
length | = 1 m, and the product E-I = 5.10¹0
N/mm².
Use for your calculations two decimal places and
state your result as a vector including units.

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