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. ||

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...

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