channel with a nominal de Institute of Steel Construct properties for the cross sec

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...
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2. 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 in², Ix =272 in“, 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 Ib/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 inª, and ly =2.81 in*. If
a W8 x 67 section is joined to a C10 × 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.
事士
0.606 in.
0.933 in.
y
Web
in.
--0.575 in.
10 in.
- Flange
-- 0.379in.
-8.287 in.-
(a)
2.739 in.
(b)
(c)
Transcribed Image Text:2. 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 in², Ix =272 in“, 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 Ib/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 inª, and ly =2.81 in*. If a W8 x 67 section is joined to a C10 × 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. 事士 0.606 in. 0.933 in. y Web in. --0.575 in. 10 in. - Flange -- 0.379in. -8.287 in.- (a) 2.739 in. (b) (c)
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