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Chapter 4, Problem 4.9QP

An aluminum alloy rod has a circular cross section with a diameter of 8 mm. This rod is subjected to a tensile load of 4 kN. Assume that the material is within the elastic region and E = 69 GPa.

a. What will be the lateral strain if Poisson’s ratio is 0.33?

b. What will be the diameter after load application?

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An aluminum alloy rod has a circular cross section with a diameter of 8 mm. This rod is subjected to a tensile load of 4 kN. Assume that the material is within the elastic region and E = 69 GPa. a. What will be the lateral strain if Poisson’s ratio is 0.33? b. What will be the diameter after load application?
Steel cylinder has 200 mm mean diameter with a wall 1 mm thick and 310 mm long.     Determine the circumferential and longitudinal stresses that occur on the cylinder if the maximum pressure difference allowed between the inside and outside must not exceed 100 MPa.   Determine the effects of three dimensional loading by determine volumetric strain and change in volume for the first steel cylinder.     Modulus of elasticity E= (210 GPa), Poisson's ratio 0.30. 7
Consider a cylindrical metal 6 mm in diameter and 50 mm long ispulled in tension. It is known that yield strength and elastic (Young’s) Modulus of thematerial are 200 MPa and 100 GPa, respectively, and its Poisson’s Ratio is 0.3.(a) Determine whether the deformation is elastic or plastic when 6000 N is applied.(b) Calculate specimen elongation (∆l) and reduction in diameter (∆d) when 5000 N isapplied? What are the values ∆l and ∆d when the load is released?(c) If necking occurs at a load of 8850 N, determine the UTS of the metal.(d) Calculate the ductility in terms of % E.L. if the length of the specimen at fracturepoint is 56.0 mm.
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