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The system shown consists of a rod, a spring, a tube, and a fixed base. Polymer rod (1) is attached to rod cap A at its upper end and it passes freely through the spring, tube cap B, tube (2), and the fixed base to rod end D, where a load P is applied. The load applied at rod end D is transmitted by the rod to rod cap A, causing the spring to compress. The force in the spring is then transmitted to the tube, creating compressive deformation in the tube. The polymer rod (1) has a diameter of d₁ = 12 mm, an elastic modulus of E₁ = 1500 MPa, and a length of L₁ = 620 mm. The linear compression spring has a spring constant of k=850 N/mm. Tube (2) has an outside diameter of D₂ = 42 mm, an inside diameter of d2 = 35 mm, an elastic modulus of E₂ = 880 MPa, and a length of L₂ = 270 mm. For an applied load of P = 740 N, determine the vertical displacement relative to C of (a) rod cap A, (b) tube cap B, and (c) rod end D.

The system shown consists of a rod, a spring, a tube, and a fixed base. Polymer rod (1) is attached to rod cap A at its upper end and it passes freely through the spring, tube cap B, tube (2), and the fixed base to rod end D, where a load P is applied. The load applied at rod end D is transmitted by the rod to rod cap A, causing the spring to compress. The force in the spring is then transmitted to the tube, creating compressive deformation in the tube. The polymer rod (1) has a diameter of d₁ = 12 mm, an elastic modulus of E₁ = 1500 MPa, and a length of L₁ = 620 mm. The linear compression spring has a spring constant of k=850 N/mm. Tube (2) has an outside diameter of D₂ = 42 mm, an inside diameter of d2 = 35 mm, an elastic modulus of E₂ = 880 MPa, and a length of L₂ = 270 mm. For an applied load of P = 740 N, determine the vertical displacement relative to C of (a) rod cap A, (b) tube cap B, and (c) rod end D.

Elements Of Electromagnetics
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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I am currently truing to find the deformation in the tube but I dont really understand how the spring plays into this how do I solve this?

The system shown consists of a rod, a spring, a tube, and a fixed base. Polymer rod (1) is attached to rod cap A at its upper end and it passes freely through the spring, tube cap B, tube (2), and the fixed base to rod end D, where a load P is applied. The load applied at rod end D is transmitted by the rod to rod cap A, causing the spring to compress. The force in the spring is then transmitted to the tube, creating compressive deformation in the tube. The polymer rod (1) has a diameter of d₁ = 12 mm, an elastic modulus of E₁ = 1500 MPa, and a length of L₁ = 620 mm. The linear compression spring has a spring constant of k=850 N/mm. Tube (2) has an outside diameter of D₂ = 42 mm, an inside diameter of d₂ = 35 mm, an elastic modulus of E₂ = 880 MPa, and a length of L₂ = 270 mm. For an applied load of P = 740 N, determine the vertical displacement relative to C of (a) rod cap A, (b) tube cap B, and (c) rod end D. Rod cap A k L₂ Fixed base Tube (2) Spring Tube cap B U Rod (1) P C Rod end D
Transcribed Image Text:The system shown consists of a rod, a spring, a tube, and a fixed base. Polymer rod (1) is attached to rod cap A at its upper end and it passes freely through the spring, tube cap B, tube (2), and the fixed base to rod end D, where a load P is applied. The load applied at rod end D is transmitted by the rod to rod cap A, causing the spring to compress. The force in the spring is then transmitted to the tube, creating compressive deformation in the tube. The polymer rod (1) has a diameter of d₁ = 12 mm, an elastic modulus of E₁ = 1500 MPa, and a length of L₁ = 620 mm. The linear compression spring has a spring constant of k=850 N/mm. Tube (2) has an outside diameter of D₂ = 42 mm, an inside diameter of d₂ = 35 mm, an elastic modulus of E₂ = 880 MPa, and a length of L₂ = 270 mm. For an applied load of P = 740 N, determine the vertical displacement relative to C of (a) rod cap A, (b) tube cap B, and (c) rod end D. Rod cap A k L₂ Fixed base Tube (2) Spring Tube cap B U Rod (1) P C Rod end D
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