Axis X-XAxis Y-YDepth WidthKy10€ mm1AreaDesignation mm2106 mm4mmmmmmmmmmmmYW460 x 113t144001080046227955419663.366.3W410 x 85W360 x 57.8-X | W200 x 46.141718131617117.940.6W Shapes(Wide-FlangeShapes)723035817216014911.139.4X588020320345.888.115.451.3Y45730533390.329.025.424.1180S460 x 81.4tS310 x 47.3S250 X 37.8S150 x 18.6X-103001528.62S Shapes(American StandardShapes)3.882.806010127123481025411884.651,210323601529.1662.20.74917.8 Ye2. Two channels are welded to two 12 in. x 1 in. plates.For each channel, the following are known:w = 4 in.Icx = 61 in*Determine the moments of inertia, I, and Iy, about the centroid axes.h = 10 in.Ac = 7 in?b = 1 in.Icy = 2.5 inAns: I = 850 in“, I, = 419 in*hyXc1 in.5 in.W5 in.1 in.6 in.6 in.

Answered: Image /qna-images/answer/b09bc069-5b32-40ef-b108-cbb53643f40f.jpg

2. Two channels are welded to two 12 in. × 1 in. plates. For each channel, the following are known: w = 4 in. Icx = 61 in“ b = 1 in. Icy = 2.5 in* h = 10 in. Ac =7 in? Determine the moments of inertia, Ix and Iy, about the centroid axes. Ans: I = 850 in“, Iy = 419 in*

2. Two channels are welded to two 12 in. × 1 in. plates. For each channel, the following are known: w = 4 in. Icx = 61 in“ b = 1 in. Icy = 2.5 in* h = 10 in. Ac =7 in? Determine the moments of inertia, Ix and Iy, about the centroid axes. Ans: I = 850 in“, Iy = 419 in*

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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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

Axis X-X
Axis Y-Y
Depth Width
Ky
10€ mm1
Area
Designation mm2
106 mm4
mm
mm
mm
mm
mm
mm
Y
W460 x 113t
14400
10800
462
279
554
196
63.3
66.3
W410 x 85
W360 x 57.8
-X | W200 x 46.1
417
181
316
171
17.9
40.6
W Shapes
(Wide-Flange
Shapes)
7230
358
172
160
149
11.1
39.4
X
5880
203
203
45.8
88.1
15.4
51.3
Y
457
305
333
90.3
29.0
25.4
24.1
180
S460 x 81.4t
S310 x 47.3
S250 X 37.8
S150 x 18.6
X-
10300
152
8.62
S Shapes
(American Standard
Shapes)
3.88
2.80
6010
127
123
4810
254
118
84.6
51,2
103
2360
152
9.16
62.2
0.749
17.8

Ye
2. Two channels are welded to two 12 in. x 1 in. plates.
For each channel, the following are known:
w = 4 in.
Icx = 61 in*
Determine the moments of inertia, I, and Iy, about the centroid axes.
h = 10 in.
Ac = 7 in?
b = 1 in.
Icy = 2.5 in
Ans: I = 850 in“, I, = 419 in*
h
y
Xc
1 in.
5 in.
W
5 in.
1 in.
6 in.
6 in.

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