Problems 1, 2 and 3 in Mastering Engineering(Assignment 22a)1. Two plates are welded to the rolled wide-flange sectionas shown. Determine the moments of inertia with respect W16x50to the centroidal x and y axes. (Ix = 1151 in4, ly = 65.78 in²)2-L4x4x1/23/4"x22" P2-L6x4x1/2CyXX1/2"x7" PA2. To form an unsymmetrical girder, two L4x4x1/2 in.angles and two L6x4x1/2 in. angles are welded to a0.75-in. steel plate as shown. Determine the momentsof inertia of the combined section with respect to itscentroidal x and y axes.(y = 10.36 in, lx = 2351 in4, ly = 118.0 in) W Shapes (Wide-Flange Shapes)YXAnglesX-XArea Depthin.Designation (in)W18x60W16x50W14x38W12x35W10x19W8x1017.614.711.210.35.622.96L6x6x3/48.44L4x4x1/23.75L3x3x1/41.44L6x4x1/24.75L5x3x1/2 3.75L3x2x1/41.19WidthAxis X-Xin. I, (in) (in), (int) (in)18.24 7.55598416.26 7.07065914.10 6.770 38512.50 6.560 28510.24 4.02096.37.89 3.94030.828.25.561.2417.49.451.09Axis Y-Y50.137.226.724.54.292.091.7828.21.185.560.8421.241.996.271.752.580.993 0.3921.781.180.8420.9870.7500.493

Problem 1 : Let 1 be the rectangle, 2 be the I-section and 3 be the rectangle.

Answered: 1. Two plates are welded to the rolled…

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

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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

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