Answer to Question #159978 in Mechanical Engineering for Sandy

Question #159978

The safe stress , for a hollow steel column which carries an axial load of 2200 kN is 120 MN/m^2. If the external diameter of the column is 25cm, determine the internal diameter.



1
Expert's answer
2021-02-01T09:29:57-0500

Given axial load, "P= 2.2\\times10^3kN"

Stress "\\delta= 120MN\/m^2=120N\/mm^2=12N\/cm"

External diameter = 25cm

Area, A ="\\frac{Load}{Stress}=\\frac{2.2\\times10^3}{12}=183.333"

But the area of hollow A ="\\frac{\\pi}{4}(D^2-d^2)=183.333\\implies \\frac{\\pi}{4}(25^2-d^2)=183.333"

"0.785714285\\times(625-d^2)=183.333\\implies d^2=391.6667089"

"d=\\sqrt(391.6667089)=19.79 cm"


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