Q1) (A) Two solid circular cross-section bar as shown in the Figure. If the stress in left portion is limited to 150 MN/m2, determine the diameter of the left portion(D). Find also the length of the right portion(a) if the total elongation of the bar is to be 0.2mm. Young's modulus is E = 210 GN/m². (B)If, in order to reduce weight whilst keeping the external diameter constant, the left portion is bored axially to produce a cylinder of uniform thickness, whatis the maximum diameter of bore possible given that the maximum allowable stress of the left portion is 180 MN/m2? The load can be assumed to remain constant at 160 kN.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
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Q1) (A) Two solid circular cross-section bar as shown in the Figure. If the stress in left
portion is limited to 150 MN/m2, detemine the diameter of the left portion(D). Find also the
length of the right portion(a) if the total elongation of the bar is to be 0.2mm. Young's
modulus is E = 210 GN /m².
(B)If, in order toreduce weight whilst keeping the external diameter constant, the left portion
is bored axially to procuce a cylinder of uniform thickness, what is the maximum diameter of
bore possible given that the maximum allowable stress of the left portion is 180 MN/m??
The load can be assumed to remain constant at 160 kN.
0.03 m
160 kN
160 kN
diameter
a
0.4 m
Transcribed Image Text:Q1) (A) Two solid circular cross-section bar as shown in the Figure. If the stress in left portion is limited to 150 MN/m2, detemine the diameter of the left portion(D). Find also the length of the right portion(a) if the total elongation of the bar is to be 0.2mm. Young's modulus is E = 210 GN /m². (B)If, in order toreduce weight whilst keeping the external diameter constant, the left portion is bored axially to procuce a cylinder of uniform thickness, what is the maximum diameter of bore possible given that the maximum allowable stress of the left portion is 180 MN/m?? The load can be assumed to remain constant at 160 kN. 0.03 m 160 kN 160 kN diameter a 0.4 m
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