Figure (a) shows the cross section of a column that uses a structural shape known as W8 × 67 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7 in?, Ix =272 in4, and ly =88.6 in. Figure (b) shows the cross-sectional dimensions for the structural steel section known as C10 x 20 (channel with a nominal depth of 10 in., weighing 20 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following properties for the cross section: A=5.88 in?, Ix =78.9 in“, and ly =2.81 in". If a W8 x 67 section is joined to a C10 x 20 section to form a structural member that has the cross section shown in Figure (c), a. Locate the centroid of the built-up section in the Figure (c). b. Calculate the centroidal moments of inertia, Ix and ly for this cross section.
Figure (a) shows the cross section of a column that uses a structural shape known as W8 × 67 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7 in?, Ix =272 in4, and ly =88.6 in. Figure (b) shows the cross-sectional dimensions for the structural steel section known as C10 x 20 (channel with a nominal depth of 10 in., weighing 20 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following properties for the cross section: A=5.88 in?, Ix =78.9 in“, and ly =2.81 in". If a W8 x 67 section is joined to a C10 x 20 section to form a structural member that has the cross section shown in Figure (c), a. Locate the centroid of the built-up section in the Figure (c). b. Calculate the centroidal moments of inertia, Ix and ly for this cross section.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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a. Solve and locate the centroid of the built-up section in the Figure(c).
b. Calculate the centroidal moments of inertia , Ix and Iy for this cross section.

Transcribed Image Text:Figure (a) shows the cross section of a column that uses a structural shape known
as W8 x 67 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The
American Institute of Steel Construction Structural Steel Handbook lists the
following cross-sectional properties: A=19.7 in?, Ix =272 in4, and ly =88.6 in4. Figure
(b) shows the cross-sectional dimensions for the structural steel section known as
C10 x 20 (channel with a nominal depth of 10 in., weighing 20 lb/ft). The
American Institute of Steel Construction Structural Steel Handbook lists the
following properties for the cross section: A=5.88 in?, Ix =78.9 in4, and ly =2.81 in*. If
a W8 x 67 section is joined to a C10 x 20 section to form a structural member that
has the cross section shown in Figure (c),
a. Locate the centroid of the built-up section in the Figure (c).
b. Calculate the centroidal moments of inertia, Ix and ly for this cross section.

Transcribed Image Text:Figure a
Figure c
0.933 in.
Web-
9 in.
-0.575 in.
-Flange
-8.287 in.-
Figure b
-0.606 in.
10 in.
0.379 in.
2.739 in.
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