A round cold-drawn 1018 steel rod has a 0.2% yield strength Sy = N (78.4, 5.90) kpsi and is to be subjected to a static axial load of P = N (50, 4.1) Kip. What value of the design factor corresponds to a reliability of 0.999 against yielding (z = -3.09). Determine the corresponding diameter of the rod. (1 kip = 1000 pounds-force).

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Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.