Problem #2: A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam [1] weight and use ASTM A992 steel.
Problem #2: A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam [1] weight and use ASTM A992 steel.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:TABLE A.1 U.S. Customary units
Designation A in.2
W40 X 277
W36 x 302
W36 x 194
W36 x 150
W33 x 118
W30 x 108
W30 x 99
W27 x 114
W27 x 94
W24 x 162
W24 x 104
W24 x 84
W24 x 76
W21 x 83
W21 x 73
W21 x 62
W21 x 50
W18 x 71
W18 x 60
W18 x 50
W18 x 40
W16 x 100
W16 x 45
W16 x 36
W16 x 26
in.
din.
by in.
S, in.¹ , in. 2, in.³
81 5
39.7
0.830 15.8
1.58
21,900
1100
16.4 1250
89.0
37.3
0.945 16.7
1.68
21,100
1130
15.4
1280
57.0
36.5
0.765 12.1
1.26
12,100 664
14.6
767
44.3
35.9
0.625 12.0
0.94
9040 504
14.3 581
34.7
32.9
0.550 11.5
0.74
5900
359
13.0
415
31.7
29.8
0.545 10.5
0.76 4470
299
11.9
346
29.0
29.7
0.520 10.5
0.67
3990
269
11.7
312
33.6
27.3
0.570 10.1
0.93
4080
299 11.0 343
27.6
26.9
0.490 10.0
0.745
3270 243
10.9 278
47.8
25.0
0.705 13.0
1.22
5170
414
10.4
468
30.7
24.1
0.500 12.8
0.75
3100
258
10.1
289
24.7 24.1
0.470
9.02 0.77
2370
196
9.79
224
22.4
23.9
0.440
8.99 0.68
2100
1.92
176
9.69 200
1830
24.4
21.4 0.515 8.36 0.835
171
8.67
196
1.83
8.3 0.74
21.5
1600
21.2 0.455
151 8.64
172
70.6
1.81
18.3
8.24 0.615
21.0
57.5
1330
0.400
127
1.77
8.54 144
14.7
0.380
6.53 0.535
20.8
984
24.9
8.18 110
7.64 1.3
18.5
7.64 0.81
0.495
127
1170
20.9
7.5 146
15.8 1.7
60.3
7.56 0.695
18.2 0.415
984
17.6
108
7.47
123
50.1 13.3 1.68
0.355
0.57
7.5
14.7
101
800
18.0
88.9 7.38
40.1
1.65
10.7
68.4 7.21
78.4
6.02 0.525
0.315
19.1
6.35 1.27
11.8
17.9
0.985
0.585 10.4
29.4
175
198 186
17.0
7.1
2.51
35.7
6.65
82.3
9.34 1.57
13.3
7.04 0.565
0.345
16.1
7.0 1.52
6.51 64.0
10.6
15.9
0.295 6.99 0.43
6.26
44.2
3.49 1.12
0.250 5.5
7.68 15.7
612
1490
586
448
0.345 301
94.5
1, in. S, in , in.
1040
132
3.58
1300
156
3.82
375
61.9 2.56
270
45.1
2.47
187
32.6
2.32
146
27.9
2.15
128
24.5
2.1
159
31.5
2.18
124
24.8
2.12
443
68.4
3.05
259
40.7
2.91
20.9
18.4
19.5
17.0
14.0
72.7
56.5
38.4
94.4
82.5
81.4
32.8
24.5
9.59
1.95
![Problem #2:
A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the
lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam
weight and use ASTM A992 steel.
[1]
SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD
R
M max
414
Material
Steel ASTM A36 or
A501
Steel (high-strength
low-alloy) ASTM
A992
Steel AISI 1020
hot rolled
TABLE G.1 U.S. Customary units
Steel AISI 1040
hot-rolled
Stainless steel
(annealed)
Cast iron (gray)
Aluminum alloy
6061-76
Shear
Titanium alloy
Magnesium alloy
Brass (rolled)
Bronze (cast)
Copper
(hard drawn)
Concrete
Concrete
w/
Moment
Density
pcf
490
490
490
490
490
165
275
112
535
535
550
R
150
150
30,000
30,000
Mod. of Mod, of
Elasticity Rigidity
E
ksi
G
ksi
30,000
12,000
29,000
15,000
10.000
R=V
16,500
6500
14,000
12,000
15,000
V,
M max (at center)
30,000 11,500
3120
3605
M₁
Amax (at center),
12,000
11,500
11,600
6000
4000
6500
2400
6000
5000
6000
Tensile Yield
Strength
F₁
ksi
36
50
30
42
40
35
130
20
50
25
40
Ultimate Strength
ksi
Tens.
58
65
229 28 2985 S
20
140
Comp. Shear
80
8
3.0
4.0
888 33 8
100
50
w/2
8
38
$(1-x)
5114
384E1
Coeff, of
Thermal
Expansion a
in/in./F
* 10-6
6.5
24/(-2/²+1)
6.5
6.5
65
6.5
5.9
13.1
54
14,5
10.4
10.N
9.3
55
5.5
Poisson's
Ratio
"
0.25
0.25
0.25
025
0.25
0.26
0.33
0.34
0.34
0.35
0.35
0:20
0.30](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a24b5e3-1ae8-417d-b111-f41bbd241f43%2Faf9361c3-0f62-4131-bc7f-c1025a058ece%2Ffci1xkh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem #2:
A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the
lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam
weight and use ASTM A992 steel.
[1]
SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD
R
M max
414
Material
Steel ASTM A36 or
A501
Steel (high-strength
low-alloy) ASTM
A992
Steel AISI 1020
hot rolled
TABLE G.1 U.S. Customary units
Steel AISI 1040
hot-rolled
Stainless steel
(annealed)
Cast iron (gray)
Aluminum alloy
6061-76
Shear
Titanium alloy
Magnesium alloy
Brass (rolled)
Bronze (cast)
Copper
(hard drawn)
Concrete
Concrete
w/
Moment
Density
pcf
490
490
490
490
490
165
275
112
535
535
550
R
150
150
30,000
30,000
Mod. of Mod, of
Elasticity Rigidity
E
ksi
G
ksi
30,000
12,000
29,000
15,000
10.000
R=V
16,500
6500
14,000
12,000
15,000
V,
M max (at center)
30,000 11,500
3120
3605
M₁
Amax (at center),
12,000
11,500
11,600
6000
4000
6500
2400
6000
5000
6000
Tensile Yield
Strength
F₁
ksi
36
50
30
42
40
35
130
20
50
25
40
Ultimate Strength
ksi
Tens.
58
65
229 28 2985 S
20
140
Comp. Shear
80
8
3.0
4.0
888 33 8
100
50
w/2
8
38
$(1-x)
5114
384E1
Coeff, of
Thermal
Expansion a
in/in./F
* 10-6
6.5
24/(-2/²+1)
6.5
6.5
65
6.5
5.9
13.1
54
14,5
10.4
10.N
9.3
55
5.5
Poisson's
Ratio
"
0.25
0.25
0.25
025
0.25
0.26
0.33
0.34
0.34
0.35
0.35
0:20
0.30
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning