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Three solid cylindrical rods are welded together to form the compound axial member shown in the figure. The compound axial member is attached to a fixed support at A. Each rod has an elastic modulus of E= 35 GPa. Use the following values for the rod lengths and areas: L₁ = 1470 mm, L₂ = 1590 mm, L3= 1230 mm, A₁ = 240 mm², A₂ = 110 mm², and A3 = 75 mm². What magnitude of external load P is needed to displace end D a distance of up 30 mm to the right? L₁ L₂ L3 (1) (2) (3) B Part 1 Find the relationship between 8₁, the elongation of rod (1), and the internal tensile force, F₁, in rod (1). Assume &, is a positive value in units of mm and F, is a positive value in units of kN. So, the answer you enter for the ratio (8₁/F₁) must be in units of ( mm/kN). 8₁ F₁ mm/kN

Three solid cylindrical rods are welded together to form the compound axial member shown in the figure. The compound axial member is attached to a fixed support at A. Each rod has an elastic modulus of E= 35 GPa. Use the following values for the rod lengths and areas: L₁ = 1470 mm, L₂ = 1590 mm, L3= 1230 mm, A₁ = 240 mm², A₂ = 110 mm², and A3 = 75 mm². What magnitude of external load P is needed to displace end D a distance of up 30 mm to the right? L₁ L₂ L3 (1) (2) (3) B Part 1 Find the relationship between 8₁, the elongation of rod (1), and the internal tensile force, F₁, in rod (1). Assume &, is a positive value in units of mm and F, is a positive value in units of kN. So, the answer you enter for the ratio (8₁/F₁) must be in units of ( mm/kN). 8₁ F₁ mm/kN

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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Three solid cylindrical rods are welded together to form the compound axial member shown in the figure.  The compound axial member is attached to a fixed support at A.  Each rod has an elastic modulus of E=35E=35 GPaGPa.  Use the following values for the rod lengths and areas: L1=1470L1=1470 mmmm, L2=1590L2=1590 mmmm, L3=1230L3=1230 mmmm, A1=240A1=240 mm2mm2, A2=110A2=110 mm2mm2, and A3=75A3=75 mm2mm2.  What magnitude of external load PP is needed to displace end D a distance of uD=30uD=30 mmmm to the right?

 

Find the relationship between δ1δ1, the elongation of rod (1), and the internal tensile force, F1F1, in rod (1).  Assume δ1δ1 is a positive value in units of mmmm and F1F1 is a positive value in units of kNkN.  So, the answer you enter for the ratio (δ1/F1δ1/⁢F1) must be in units of (mm/kNmm/kN).

 

Hint: The length, cross-sectional area, and modulus of elasticity for rod (1) are all given.

Three solid cylindrical rods are welded together to form the compound axial member shown in the figure. The compound axial member is attached to a fixed support at A. Each rod has an elastic modulus of E= 35 GPa. Use the following values for the rod lengths and areas: L₁ = 1470 mm, L₂ = 1590 mm, L3= 1230 mm, A₁ = 240 mm², A₂ = 110 mm², and A3 = 75 mm². What magnitude of external load P is needed to displace end D a distance of up = 30 mm to the right? L₁ L2 L3 (2) B Part 1 Find the relationship between 8₁, the elongation of rod (1), and the internal tensile force, F₁, in rod (1). Assume 8, is a positive value in units of mm and F₁ is a positive value in units of kN. So, the answer you enter for the ratio (8₁/F₁) must be in units of ( mm/kN). 8₁ mm/kN F₁ (1)
Transcribed Image Text:Three solid cylindrical rods are welded together to form the compound axial member shown in the figure. The compound axial member is attached to a fixed support at A. Each rod has an elastic modulus of E= 35 GPa. Use the following values for the rod lengths and areas: L₁ = 1470 mm, L₂ = 1590 mm, L3= 1230 mm, A₁ = 240 mm², A₂ = 110 mm², and A3 = 75 mm². What magnitude of external load P is needed to displace end D a distance of up = 30 mm to the right? L₁ L2 L3 (2) B Part 1 Find the relationship between 8₁, the elongation of rod (1), and the internal tensile force, F₁, in rod (1). Assume 8, is a positive value in units of mm and F₁ is a positive value in units of kN. So, the answer you enter for the ratio (8₁/F₁) must be in units of ( mm/kN). 8₁ mm/kN F₁ (1)
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