1. Two plates are welded to the rolled wide-flange section as shown. Determine the moments of inertia with respect to the centroidal x and y axes. (lx = 1151 in, ly = 65.78 in²)

Structural Analysis
6th Edition
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Chapter2: Loads On Structures
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Problems 1, 2 and 3 in Mastering Engineering
(Assignment 22a)
1. Two plates are welded to the rolled wide-flange section
as shown. Determine the moments of inertia with respect W16x50
to the centroidal x and y axes. (Ix = 1151 in4, ly = 65.78 in²)
2-L4x4x1/2
3/4"x22" P
2-L6x4x1/2
C
y
X
X
1/2"x7" P
A
2. To form an unsymmetrical girder, two L4x4x1/2 in.
angles and two L6x4x1/2 in. angles are welded to a
0.75-in. steel plate as shown. Determine the moments
of inertia of the combined section with respect to its
centroidal x and y axes.
(y = 10.36 in, lx = 2351 in4, ly = 118.0 in)
Transcribed Image Text:Problems 1, 2 and 3 in Mastering Engineering (Assignment 22a) 1. Two plates are welded to the rolled wide-flange section as shown. Determine the moments of inertia with respect W16x50 to the centroidal x and y axes. (Ix = 1151 in4, ly = 65.78 in²) 2-L4x4x1/2 3/4"x22" P 2-L6x4x1/2 C y X X 1/2"x7" P A 2. To form an unsymmetrical girder, two L4x4x1/2 in. angles and two L6x4x1/2 in. angles are welded to a 0.75-in. steel plate as shown. Determine the moments of inertia of the combined section with respect to its centroidal x and y axes. (y = 10.36 in, lx = 2351 in4, ly = 118.0 in)
W Shapes (Wide-
Flange Shapes)
Y
X
Angles
X
-X
Area Depth
in.
Designation (in)
W18x60
W16x50
W14x38
W12x35
W10x19
W8x10
17.6
14.7
11.2
10.3
5.62
2.96
L6x6x3/4
8.44
L4x4x1/2
3.75
L3x3x1/4
1.44
L6x4x1/2
4.75
L5x3x1/2 3.75
L3x2x1/4
1.19
Width
Axis X-X
in. I, (in) (in), (int) (in)
18.24 7.555
984
16.26 7.070
659
14.10 6.770 385
12.50 6.560 285
10.24 4.020
96.3
7.89 3.940
30.8
28.2
5.56
1.24
17.4
9.45
1.09
Axis Y-Y
50.1
37.2
26.7
24.5
4.29
2.09
1.78
28.2
1.18
5.56
0.842
1.24
1.99
6.27
1.75
2.58
0.993 0.392
1.78
1.18
0.842
0.987
0.750
0.493
Transcribed Image Text:W Shapes (Wide- Flange Shapes) Y X Angles X -X Area Depth in. Designation (in) W18x60 W16x50 W14x38 W12x35 W10x19 W8x10 17.6 14.7 11.2 10.3 5.62 2.96 L6x6x3/4 8.44 L4x4x1/2 3.75 L3x3x1/4 1.44 L6x4x1/2 4.75 L5x3x1/2 3.75 L3x2x1/4 1.19 Width Axis X-X in. I, (in) (in), (int) (in) 18.24 7.555 984 16.26 7.070 659 14.10 6.770 385 12.50 6.560 285 10.24 4.020 96.3 7.89 3.940 30.8 28.2 5.56 1.24 17.4 9.45 1.09 Axis Y-Y 50.1 37.2 26.7 24.5 4.29 2.09 1.78 28.2 1.18 5.56 0.842 1.24 1.99 6.27 1.75 2.58 0.993 0.392 1.78 1.18 0.842 0.987 0.750 0.493
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