A steel pipe is filled with concrete, and the resultingcolumn is subjected to a
ID: 1814946 • Letter: A
Question
A steel pipe is filled with concrete, and the resultingcolumn is subjected to a compressiveload P = 90 kips. The pipe has an outer diameter of12.75 in. and an inside diameter of 12.00 in. The elastic moduli ofthe steel and concreteare: Es = 35 multiplied by 10^3 ksiand Ec = 4.1 x 10^3 ksi. (a) Determine the stress in the steel and the stress inthe concrete due to this loading.(Use plus for tension and minusfor compression) sigmac = ksi sigmas = ksi (b) If the initial length of the column is L =12 ft, how much does the column shorten when the load is applied?(Ignore radial expansion of the concrete and steel due to Poisson'sratio effect.) in.
Explanation / Answer
s=Es and c=Ec and = constant(Eq 1) Fs=s andFc=c Solve for forces, plug into EE: -P-Fc-Fs = 0; solve for .Plug into Eq 1 to find the stresses. Plug into e1=L to get amount shortened.
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