PROBLEM 7. A built-up section is composed of two (2) channels and a baseplate. To determine its strength against loads, the following should be calculated (note: moment of inertia should be about centroidal x and y axes): [6] (ANSWER: 139.398 mm) [7] (ANSWER: 291.637 mm) [8] Tx (ANSWER: 360.354x10^6 mm^4) [9] Ty (ANSWER: 109.106x10^6 mm^4) [10] rx (ANSWER: 135.940 mm) C380X74 flange -BP305x20 -C310X30.8 web tw- tf bf P Properties of channel (C310x30.8): A = 3920 mm²; d=305 mm; by = 74.7 mm ; tw = 7.16 mm; t = 12.7 mm; x = 17.7 mm ; Ix = 53.7 x 106 mm²; ly = 1.61 x 106 mm² Properties of channel (C380x74): ||4=9480 mm²; d=381 mm; by = 94.5 mm; tw = 18.2 mm; t = 16.5 mm; x = 20.3 mm ; Ix = 168 x 10 mm²; Iy = 4.58 x 106 mm² x 105.2500

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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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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PROBLEM 7. A built-up section is composed of two (2) channels and a baseplate. To determine its strength
against loads, the following should be calculated (note: moment of inertia should be about centroidal x and
y axes):
[6] (ANSWER: 139.398 mm)
[7] (ANSWER: 291.637 mm)
[8] Tx (ANSWER: 360.354x10^6 mm^4)
[9] Ty (ANSWER: 109.106x10^6 mm^4)
[10] rx (ANSWER: 135.940 mm)
C380X74
flange
-BP305x20
-C310X30.8
web
tw-
tf
bf
P
Properties of channel (C310x30.8):
A = 3920 mm²; d=305 mm; by = 74.7 mm ;
tw = 7.16 mm; t = 12.7 mm; x = 17.7 mm ;
Ix = 53.7 x 106 mm²; ly = 1.61 x 106 mm²
Properties of channel (C380x74):
||4=9480 mm²; d=381 mm; by = 94.5 mm;
tw = 18.2 mm; t = 16.5 mm; x = 20.3 mm ;
Ix = 168 x 10 mm²; Iy = 4.58 x 106 mm²
x
105.2500
Transcribed Image Text:PROBLEM 7. A built-up section is composed of two (2) channels and a baseplate. To determine its strength against loads, the following should be calculated (note: moment of inertia should be about centroidal x and y axes): [6] (ANSWER: 139.398 mm) [7] (ANSWER: 291.637 mm) [8] Tx (ANSWER: 360.354x10^6 mm^4) [9] Ty (ANSWER: 109.106x10^6 mm^4) [10] rx (ANSWER: 135.940 mm) C380X74 flange -BP305x20 -C310X30.8 web tw- tf bf P Properties of channel (C310x30.8): A = 3920 mm²; d=305 mm; by = 74.7 mm ; tw = 7.16 mm; t = 12.7 mm; x = 17.7 mm ; Ix = 53.7 x 106 mm²; ly = 1.61 x 106 mm² Properties of channel (C380x74): ||4=9480 mm²; d=381 mm; by = 94.5 mm; tw = 18.2 mm; t = 16.5 mm; x = 20.3 mm ; Ix = 168 x 10 mm²; Iy = 4.58 x 106 mm² x 105.2500
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