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. 0.03 m 160 kN D 160 kN diameter a

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. 0.03 m 160 kN D 160 kN diameter a

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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 ofuniform 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.
0.03 m
160 kN
160 kN
diameter
a
0.4 m
Q2) An extemal compressive load of 900 kN is applied on compound bar consists of three
bronze bars and two steel bars at a temperature 40C°, each bar of 50 cm? cross-sedion area.
Find (A) the temperature, at which the stress in the one bar will be zero and (B) the stress in
the another bars. Assume all of the bars are of equal lengths.
The coefficient of linear expansion per C° is 12x10-6 for steel and 18x10-6 for bronze.
E for steel = 200 GN/m2. E for bronze = 100 GN/m?

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