Question

Problem 2.2-3 A steel wire and an aluminum alloy wire have equal lengths and support equal loads P (see figure). The moduli of elasticity for the steel and aluminum alloy are Es = 206 GPa and E,-76 GPa, respectively. Aluminum alloy Wire (a) If the wires have the same diameters, what is the ratio of the elongation of the aluminum alloy wire to the elongation of the steel wire? diameter of the aluminum alloy wire to the diameter of the steel wire? of the initial length of the aluminum alloy wire to that of the steel wire (b) If the wires stretch the same amount, what is the ratio of the Steel wire (c) If the wires have the same diameters and same load P what is the ratio if the aluminum alloy wire stretches 1.5 times that of the steel wire? (d) If the wires have the same diameters, same initial length, and same load P, what is the material of the upper wire if it elongates 1.7 times that of the steel wire?

Answer 1

nswe The medul of eloskt the alunin um alloy a6o w having same Drome fers aof e(ongamon of tme au w t E 20G 76 Bame amun 2

206 (c) ven Po of aluminum alloy wi that of He sheet r La ㄥ 6036 8q 2 0 6 oL Cn iven QL. A (206 Aumnalloy of the ufpex is elorget lme that of te steel cwie