# HW03.pdf - ENG104 Mechanics of Materials HW 3 Due Oct 17th...

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ENG104: Mechanics of Materials HW # 3, Due Oct. 17th, 2016, by 2pm, in HW box 104, second floor, Ghausi Hall. 1. The elastic portion of the stress-strain diagram for a steel alloy is shown in Figure 1. The specimen from which it was obtained had an original diameter of 13 mm and a gauge length of 50 mm. If a load of P = 20 kN is applied to the specimen, determine its diameter and gauge length. Take ν = 0.4. Figure 1 2. A steel wire is connected to a wall to suspend a rigid beam. The A-36 steel wire AB , shown in Figure 2, has a cross-sectional area of 10 mm 2 and is not stretched when θ = 45 . 0 . Determine the applied load P needed to cause θ = 44 . 9 . Also, calculate the stress and strain in the wire. Hint: The average mechanical properties of typical engineering materials can be found at the inside back cover of the textbook. Figure 2 1

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3. The stress-strain diagram for a polyester resin is given in Figure 3. Note that the end points of compression and tension indicate the material ruptures at the corresponding stresses. If the rigid
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