Column Problem Help: Calculating Length of Conical Steel Column Under Load

[teng125]

A straight conical column made of steal (original length 1000mm, head diameter 90 mm, ground diameter 190 mm) is loaded by a normal force F = 1450 kN. What is the length under load ?

for this ,the diameter is changing along the column,should i assume is as hollow and use the hollow formula for the area or any other ways??

 

[teng125]

i get (force/E) (1/A(x)) dx = d(strain)

then i integrate to get (F/E) ln[(pi*d^2)/4] = deformed length - original lengh

am i correct??

 

[civil_dude]

When you say normal force, what do you mean? Axial or normal to the member? If it is axial, then yes, you have to integrate.