A cylindrical rod 400 mm long, having a diameter of 8.0 mm, is to be subjected t
ID: 1824015 • Letter: A
Question
A cylindrical rod 400 mm long, having a diameter of 8.0 mm, is to be subjected to a tensile load. If the rod is to experience neither plastic deformation nor an elongation of more than 0.9 mm when the applied load is 14,830 N, which of the four metals or alloys listed below are possible candidates? Justify your choice(s).
A cylindrical rod 400 mm long, having a diameter of 8.0 mm, is to be subjected to a tensile load. If the rod is to experience neither plastic deformation nor an elongation of more than 0.9 mm when the applied load is 14,830N, which of the four metals or alloys listed below are possible candidates? Justify your choice(s).Explanation / Answer
This problem asks that we ascertain which of four metal alloys will not (1) experience plastic deformation,and (2) elongate more than 0.9 mm when a tensile load of 14,830 N is applied. It is first necessary to compute the stress, a material to be used for this application must necessarily have a yield strength greater than this value. Thus,
= F/A0 = 14830/(4*10-3)2= 295.18 Mpa
Of the metal alloys listed, only brass and steel have yield strengths greater than this stress.
Next, we must compute the elongation produced in both brass and steel in order to determine whether or not this elongation is less than 0.9 mm. For brass
l = l0/E = 295.18*400/100*103= 1.18 mm
Thus, brass is not a candidate. However, for steel
l = l0/E = 295.18*400/207*103 = 0.57 mm
Therefore, of these four alloys, only steel satisfies the stipulated criteria.
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