15. A bar of 12 mm diameter gets stretched by 3 mm under a steady load of 8 kN. What stress would be produced in the bar by a weight of 800 N, which falls through 80 mm before commencing the stretch- ing of the rod, which is initially unstressed. Take E = 200 kN/mm². [Ans. 170.6 N/mm²]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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13. A steel rod of 20 mm diameter passes centrally through a copper tube of external diameter 40 mm and
internal diameter 20 mm. The tube is closed at each end with the help of rigid washers (of negligible
thickness) which are screwed by the nuts. The nuts are tightened until the compressive load on the
copper tube is 50 kN. Determine the stresses in the rod and the tube, when the temperature of whole
assembly falls by 50°C. Take E, = 200 GPa ; E̟ = 100 GPa ; a, = 12 x 106°C and a = 18 x 10/°C.
[Ans. 99.6 MPa; 19.8 MPa]
14. A bar of 2 m length, 20 mm breadth and 15 mm thickness is subjected to a tensile load of 30 kN.
Find the final volume of the bar, if the Poisson's ratio is 0.25 and Young's modulus is 200 GN/m².
[Ans. 600 150 mm³]
A bar of 12 mm diameter gets stretched by 3 mm under a steady load of 8 kN. What stress would be
produced in the bar by a weight of 800 N, which falls through 80 mm before commencing the stretch-
ing of the rod, which is initially unstressed. Take E= 200 kN/mm2.
15.
[Ans. 170.6 N/mm?]
Transcribed Image Text:13. A steel rod of 20 mm diameter passes centrally through a copper tube of external diameter 40 mm and internal diameter 20 mm. The tube is closed at each end with the help of rigid washers (of negligible thickness) which are screwed by the nuts. The nuts are tightened until the compressive load on the copper tube is 50 kN. Determine the stresses in the rod and the tube, when the temperature of whole assembly falls by 50°C. Take E, = 200 GPa ; E̟ = 100 GPa ; a, = 12 x 106°C and a = 18 x 10/°C. [Ans. 99.6 MPa; 19.8 MPa] 14. A bar of 2 m length, 20 mm breadth and 15 mm thickness is subjected to a tensile load of 30 kN. Find the final volume of the bar, if the Poisson's ratio is 0.25 and Young's modulus is 200 GN/m². [Ans. 600 150 mm³] A bar of 12 mm diameter gets stretched by 3 mm under a steady load of 8 kN. What stress would be produced in the bar by a weight of 800 N, which falls through 80 mm before commencing the stretch- ing of the rod, which is initially unstressed. Take E= 200 kN/mm2. 15. [Ans. 170.6 N/mm?]
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