Chapter 6: Problem 51
Upon what three criteria are factors of safety based?
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These are the key concepts you need to understand to accurately answer the question.
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Chapter 6: Problem 51
Upon what three criteria are factors of safety based?
These are the key concepts you need to understand to accurately answer the question.
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A cylindrical specimen of a hypothetical metal alloy is stressed in compression. If its original and final diameters are 30.00 and \(30.04 \mathrm{mm}\) respectively, and its final length is \(105.20 \mathrm{mm}\) compute its original length if the deformation is totally elastic. The elastic and shear moduli for this alloy are 65.5 and $25.4 \mathrm{GPa}, respectively.
A specimen of copper having a rectangular cross section \(15.2 \mathrm{mm} \times 19.1 \mathrm{mm}(0.60 \mathrm{in.} \times\) \(0.75 \text { in. })\) is pulled in tension with \(44,500 \mathrm{N}\) \(\left(10,000 \mathrm{lb}_{\mathrm{f}}\right)\) force, producing only elastic deformation. Calculate the resulting strain.
Consider a cylindrical specimen of a steel alloy (Figure \(6.21) 8.5 \mathrm{mm}(0.33 \text { in. })\) in diameter and \(80 \mathrm{mm}(3.15 \text { in. })\) long that is pulled in tension. Determine its elongation when a load of \(65,250 \mathrm{N}\left(14,500 \mathrm{lb}_{\mathrm{f}}\right)\) is applied.
A cylindrical specimen of a brass alloy having a length of \(100 \mathrm{mm}\) (4 in.) must elongate only \(5 \mathrm{mm}(0.2\) in.) when a tensile load of \(100,000 \mathrm{N}\left(22,500 \mathrm{lb}_{\mathrm{f}}\right)\) is applied. Under these circumstances what must be the radius of the specimen? Consider this brass alloy to have the stress-strain behavior shown in Figure 6.12.
A cylindrical specimen of a nickel alloy having an elastic modulus of \(207 \mathrm{GPa}\left(30 \times 10^{6}\right.\) psi) and an original diameter of \(10.2 \mathrm{mm}\) \((0.40 \text { in. })\) will experience only elastic deformation when a tensile load of \(8900 \mathrm{N}\left(2000 \mathrm{lb}_{\mathrm{f}}\right)\) is applied. Compute the maximum length of the specimen before deformation if the maximum allowable elongation is \(0.25 \mathrm{mm}\) \((0.010 \text { in. })\).
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