Problem 7: 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 Ib/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7 in^2, Ix =272 in^4, and ly =88.6 in^4. 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 Ib/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following properties for the cross section: A=5.88 in^2, Ix =78.9 in^4, and ly =2.81 in^4. 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), the moment of inertia with respect to the centroidal y-axis of the built-up section is

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 7: 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 Ib/ft). The American Institute of Steel Construction
Structural Steel Handbook lists the following cross-sectional properties:
A=19.7 in^2, Ix =272 in^4, and ly =88.6 in^4. 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 Ib/ft). The American
Institute of Steel Construction Structural Steel Handbook lists the
following properties for the cross section: A=5.88 in^2, Ix =78.9 in^4, and ly
=2.81 in^4. 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), the
moment of inertia with respect to the centroidal y-axis of the built-up
section is *
0606in
0933 in
Web
-0575 in
10 ia
-Flange
-079 in.
-8.287
(a)
219 in.
(b)
(c)
91.41 in^4
167.5 in^4
274.81 in^4
350.9 in^4
Transcribed Image Text:Problem 7: 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 Ib/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7 in^2, Ix =272 in^4, and ly =88.6 in^4. 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 Ib/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following properties for the cross section: A=5.88 in^2, Ix =78.9 in^4, and ly =2.81 in^4. 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), the moment of inertia with respect to the centroidal y-axis of the built-up section is * 0606in 0933 in Web -0575 in 10 ia -Flange -079 in. -8.287 (a) 219 in. (b) (c) 91.41 in^4 167.5 in^4 274.81 in^4 350.9 in^4
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