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=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.
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