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 = 41 GPa Use the following values for the rod lengths and areas: Li = 1530 mm, L2 - 1640 mm, Lş – 1260 mm, A1 = 265 mm”. A2 = 140 mm”, and A3 = 45mm”. What magnitude of external load Pis needed to displace end D a distance of up - 20 mm to the right? L2 L (1) (2) (3) c D B
Part 1 Find the relationship between 8, the elongation of rod (1), and the internal tensile force, Fin rod (1). Assume 8, 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 (8,/F1) must be in units of mm/kN). 8 mm/kN F Save for Later Attempts: 0 of 3 used Submit Answer
Part 2 Similar to the previous step, find the relationship between 82, the elongation of rod (2), and the internal tensile force, F2, in rod (2). Assume 8, 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 8/F) must be in units of (mm/kN). 2 mm/kN F2 Save for Later Attempts: 0 of 3 used Submit Answer
Part 3 Similar to the previous step, find the relationship between 83, the elongation of rod (2), and the internal tensile force. Fs, in rod (2). Assume 83 is a positive value in units of mm and F3 is a positive value in units of kN. So, the answer you enter for the ratio 83/F3) must be in units of (mm/kN). 83 mm/kN F3
Part 4 Choose the correct relationship between the internal tensile forces in rods (1), (2), and (3), denoted F1,F2, and F3, respectively, and the applied load, P OF = F = F3 =p O FIL FL2 FL + + ALE AE A, E OF + F + F OF + F2 + Fs - P P(L+ 12 + L3) (A, + 12 + A) 3P
Part 5 What magnitude of external load P is needed to displace end D a distance of up = 20 mm to the right? P. KN
Three solid cylindrical rods are welded together to form the compound axial member shown in the figure. The compound axi
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Three solid cylindrical rods are welded together to form the compound axial member shown in the figure. The compound axi
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