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?
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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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?
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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