The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L1=6.6 ft, and L2=19.8 ft.   (a) Determine the minimum section modulus required for this beam.   (b) From the table below, select the lightest W shape that can be used for this beam.   (c) What is the total weight of the steel beam itself (i.e., not including the loads that

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L1=6.6 ft, and L2=19.8 ft.

 

(a) Determine the minimum section modulus required for this beam.

 

(b) From the table below, select the lightest W shape that can be used for this beam.

 

(c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)?

The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51
kips, L₁ = 6.6 ft, and L₂ = 19.8 ft.
(a) Determine the minimum section modulus required for this beam.
(b) From the table below, select the lightest W shape that can be used for this beam.
(c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)?
L₁
P
B
L2
с
P
L₁
-D
X
A
Transcribed Image Text:The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L₁ = 6.6 ft, and L₂ = 19.8 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)? L₁ P B L2 с P L₁ -D X A
Designation A
W24 x 94
24 × 76
24 × 68
24 × 55
W21 x 68
21 x 62
21 x 50
21 x 44
W18 x 55
18 x 50
18 × 40
18 x 35
W16 x 57
16 x 50
16 x 40
16 x 31
Area Depth
d
W14 × 68
14 × 53
14 x 48
14 × 34
14 x 30
14 x 26
in.2
27.7
22.4
20.1
16.2
20.0
18.3
14.7
13.0
16.2
14.7
11.8
10.3
16.8
14.7
11.8
in.
24.3
23.9
23.7
23.6
20.0
15.6
14.1
10.0
21.1
21.0
20.8
20.7
16.4
16.3
16.0
9.13 15.9
18.1
18.0
17.9
17.7
14.0
13.9
13.8
14.0
8.85
13.8
7.69
13.9
6.49 13.7
Web
thickness
tw
in.
0.515
0.440
0.415
0.395
0.430
0.400
0.380
0.350
0.390
0.355
0.315
0.300
0.430
0.380
0.305
0.275
0.415
0.370
0.340
0.285
0.270
0.255
0.230
Flange
width
bf
in.
9.07
8.99
8.97
7.01
8.27
8.24
6.53
6.50
7.53
7.50
6.02
6.00
7.12
7.07
7.00
5.53
10.0
8.06
8.03
6.75
6.73
5.03
5.00
Flange
thickness
tr
in.
0.875
0.680
0.585
0.505
0.685
0.615
0.535
0.450
0.630
0.570
0.525
0.425
0.715
0.630
0.505
0.440
0.720
0.660
0.595
0.455
0.385
0.420
0.335
Ix
in.4
2700
2100
1830
1350
1480
1330
984
843
890
800
612
510
758
659
518
375
722
541
484
340
291
245
199
Sx
in.3
222
176
154
114
140
127
94.5
81.6
98.3
88.9
68.4
57.6
92.2
81.0
64.7
47.2
103
77.8
70.2
48.6
42.0
35.3
29.0
in.
9.87
9.69
9.55
9.11
8.60
8.54
8.18
8.06
7.41
7.38
7.21
7.04
6.72
6.68
6.63
6.41
6.01
5.89
5.85
5.83
5.73
5.65
5.54
Ty
in.4
109
82.5
70.4
29.1
64.7
57.5
24.9
20.7
44.9
40.1
19.1
15.3
43.1
37.2
28.9
12.4
121
57.7
51.4
23.3
19.6
8.91
7.00
Sy
in.3
24.0
18.4
15.7
8.30
15.7
14.0
7.64
6.37
11.9
10.7
6.35
5.12
12.1
10.5
8.25
4.49
24.2
14.3
12.8
6.91
5.82
3.55
2.80
Ty
in.
1.98
1.92
1.87
1.34
1.80
1.77
1.30
1.26
1.67
1.65
1.27
1.22
1.60
1.57
1.17
2.46
1.92
1.53
1.49
1.08
1.04
Transcribed Image Text:Designation A W24 x 94 24 × 76 24 × 68 24 × 55 W21 x 68 21 x 62 21 x 50 21 x 44 W18 x 55 18 x 50 18 × 40 18 x 35 W16 x 57 16 x 50 16 x 40 16 x 31 Area Depth d W14 × 68 14 × 53 14 x 48 14 × 34 14 x 30 14 x 26 in.2 27.7 22.4 20.1 16.2 20.0 18.3 14.7 13.0 16.2 14.7 11.8 10.3 16.8 14.7 11.8 in. 24.3 23.9 23.7 23.6 20.0 15.6 14.1 10.0 21.1 21.0 20.8 20.7 16.4 16.3 16.0 9.13 15.9 18.1 18.0 17.9 17.7 14.0 13.9 13.8 14.0 8.85 13.8 7.69 13.9 6.49 13.7 Web thickness tw in. 0.515 0.440 0.415 0.395 0.430 0.400 0.380 0.350 0.390 0.355 0.315 0.300 0.430 0.380 0.305 0.275 0.415 0.370 0.340 0.285 0.270 0.255 0.230 Flange width bf in. 9.07 8.99 8.97 7.01 8.27 8.24 6.53 6.50 7.53 7.50 6.02 6.00 7.12 7.07 7.00 5.53 10.0 8.06 8.03 6.75 6.73 5.03 5.00 Flange thickness tr in. 0.875 0.680 0.585 0.505 0.685 0.615 0.535 0.450 0.630 0.570 0.525 0.425 0.715 0.630 0.505 0.440 0.720 0.660 0.595 0.455 0.385 0.420 0.335 Ix in.4 2700 2100 1830 1350 1480 1330 984 843 890 800 612 510 758 659 518 375 722 541 484 340 291 245 199 Sx in.3 222 176 154 114 140 127 94.5 81.6 98.3 88.9 68.4 57.6 92.2 81.0 64.7 47.2 103 77.8 70.2 48.6 42.0 35.3 29.0 in. 9.87 9.69 9.55 9.11 8.60 8.54 8.18 8.06 7.41 7.38 7.21 7.04 6.72 6.68 6.63 6.41 6.01 5.89 5.85 5.83 5.73 5.65 5.54 Ty in.4 109 82.5 70.4 29.1 64.7 57.5 24.9 20.7 44.9 40.1 19.1 15.3 43.1 37.2 28.9 12.4 121 57.7 51.4 23.3 19.6 8.91 7.00 Sy in.3 24.0 18.4 15.7 8.30 15.7 14.0 7.64 6.37 11.9 10.7 6.35 5.12 12.1 10.5 8.25 4.49 24.2 14.3 12.8 6.91 5.82 3.55 2.80 Ty in. 1.98 1.92 1.87 1.34 1.80 1.77 1.30 1.26 1.67 1.65 1.27 1.22 1.60 1.57 1.17 2.46 1.92 1.53 1.49 1.08 1.04
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Design of Beams and Shafts
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY