5-20. A welded built-up 16 in. x 16 in. box column in the bottom story of a highrise building is made up of 3 in. thick steel plates (A992 Grade 50). Assuming the column has an unbraced length of 14 ft., determine the following: a. The gross area, A, of the column. b. The moments of inertia about the x-x and y-y axes, I and I,, respectively, c. The radii of gyration about the x-x and y-y axes, r, and r, respectively.
5-20. A welded built-up 16 in. x 16 in. box column in the bottom story of a highrise building is made up of 3 in. thick steel plates (A992 Grade 50). Assuming the column has an unbraced length of 14 ft., determine the following: a. The gross area, A, of the column. b. The moments of inertia about the x-x and y-y axes, I and I,, respectively, c. The radii of gyration about the x-x and y-y axes, r, and r, respectively.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:5-20. A welded built-up 16 in. x 16 in. box column in the bottom story of a highrise building is
made up of 3 in. thick steel plates (A992 Grade 50). Assuming the column has an unbraced
length of 14 ft., determine the following:
a. The gross area, A,, of the column.
b. The moments of inertia about the x-x and y-y axes, I and I,, respectively,
c. The radii of gyration about the x-x and y-y axes, r, and r,, respectively.
d. Using the LRFD method, determine the axial compression strength in kips for the
column.
e. Using the column load tables, select a wide flange or I-shaped column of A992 Grade
50 steel that has the same axial compression load capacity as the box column and com-
pare the weights of both sections. Which of the column section (built-up box section or
I-shape) is more economical?
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