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?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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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'
Transcribed Image Text: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
Transcribed Image Text: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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