Answered: can someone please help me with this? Thank you I also attached a formula sheet we can use and we are also given the information about the w shapes as well.…

Structural Analysis

6th Edition

ISBN: 9781337630931

Author: KASSIMALI, Aslam.

Publisher: Cengage,

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Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe be…

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can someone please help me with this? Thank you

I also attached a formula sheet we can use and we are also given the information about the w shapes as well.

-) W36 x 160. Include self-weight. What is the maximum deflection?

8'
28k
9'
32k
12'
32k
9'
28k
↓
w = 2.5 k/ft
8'

Designation
W36 x 160
W33 X 221
W24 X 84
W21 x 62
X 44
W18 X 55
x 50
x 40
X 35
W16 x 100
X 67
x 50
TABLE A.3 (U.S. Customary Units) W Shapes: Properties for Designing (Selected Listing)
Flange
x 40
x 31
x 26
W14 X 159
x 132
Area
in.²
47.0
65.0
24.7
18.3
13.0
16.2
14.7
11.8
10.3
29.4
19.7
14.7
11.8
9.12
7.68
46.7
38.8
Depth
in.
36.01
33.93
24.10
20.99
20.66
18.11
17.99
17.90
17.70
16.97
16.33
16.26
16.01
15.88
15.69
14.98
14.66
Web
Thickness
in.
0.650
0.775
0.470
0.400
0.350
0.390
0.355
0.315
W shapes
0.300
0.585
0.395
0.380
0.305
0.275
0.250
0.745
0.645
Width
in.
12.000
15.805
9.020
8.240
6.500
7.530
7.495
6.015
6.000
10.425
10.235
7.070
6.995
5.525
5.500
Y
15.565
14.725
Thickness
in.
1.020
1.275
0.770
0.615
0.450
X
0.630
0.570
0.525
0.425
0.985
0.665
0.630
0.505
0.440
0.345
1.190
1.030
Source: Statics and Strength of Materials, 7th Edition, by Morrow / Kokernak
Page 1 of 3
I
in.4
9750
12,800
2370
1330
843
890
800
612
510
1490
954
659
518
375
301
1900
1530
Axis X-X
S
in.3
542
757
196
127
81.6
98.3
88.9
68.4
57.6
175
117
81.0
64.7
47.2
38.4
254
209
Elastic Properties
r
in.
14.4
14.1
9.79
8.54
8.06
7.41
7.38
7.21
7.04
7.10
6.96
6.68
6.63
6.41
6.26
6.38
6.28
I
295
840
94.4
57.5
20.7
44.9
40.1
19.1
55
15.3
186
119
37.2
28.9
12.4
9.59
748
548
Axis Y-Y
S
in.³
49.1
106
20.9
13.9
6.36
11.9
10.7
6.35
5.12
35.7
23.2
10.5
8.25
4.49
3.49
96.2
74.5
r
in.
2.50
3.59
1.95
1.77
1.26
1.67
1.65
1.27
1.22
2.51
2.46
1.59
1.57
1.17
1.12
4.00
3.76
R=U
R=V
1/2
R=v = wl
m=we²
کھا
l
*
R-V wl
w
Ni weer ee
Fb m
S
6/2
m = we² Pl
4
BENDING STRESS
R=V
R=V
1/2
R=V=P/₂
m = pl
R=J
a
R=√
Formulas
R=V=
2/1
P
l
2/2
wewe +P
M = wl²
Pa
8+
Fv=V
dtw
*
SHEAR STRESS
R=V
a
R=√
R=V
P
R=V = P
m = Pa
P
ay 112 y
ir
X
fi₂
RrV
R=V= w/ + P ₁ + P
DEFLECTION
P
a
17
Mr wety Par Pil
4
A = 180 me
EIX
R=√
E-MODULUS OF ELASTICITY
E = 29000 ksi

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Step 2: Determine the support reaction

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Step 3: Using Double Integration method

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Step 5: Determine the maximum deflection

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