An S178 x 30 American standard I-beam (see Appendix A) is loaded and supported as shown below. (a) Draw complete shear force and bending moment diagrams for the beam. (b) Determine the maximum flexural stress in the beam. Y -2 m 15 kN/m 25 kN Y Y 2 m 2 m- I

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
Desig-
nation*
S610 x 180
X 158
X 149
x 134
X 119
S508 x 143
X 128
X 112
X98
S457 x 104
X 81
S381 % 74
X 64
$305 X 74
X 61
X 52
X 47
8254 % 52
X 38
8203 X 34
% 27
$178 % 30
X 23
9152 X 26
X 19
Area
(mm²)
22970
20130
18900
17100
15160
18190
16320
14190
12520
13290
10390
9485
8130
9485
7740
6645
6030
6645
4815
4370
3490
3795
2905
3270
2370
Depth Width
(mm)
622.3
622.3
609.6
609.6
609.6
515.6
515.6
508.0
508.0
457.2
457.2
381.0
381.0
304.8
304.8
304.8
304.8
254.0
254.0
203.2
203.2
177.8
177.8
FLANGE
152.4
152.4
204.5
199.9
184.0
181.0
177.8
182.9
179.3
162.2
158.9
158.8
152.4
143.3
139.7
139.1
133.4
129.0
127.0
125,6
1184
105.9
101.6
98.0
93.0
90.6
84.6
Thick-
ness
(mm)
27.7
27.7
22.1
22.1
22.1
23.4
23.4
20.2
20.2
17.6
17.6
15.8
15.8
16.7
16.7
13.8
13.8
12.5
12.5
10.8
10.8
10.0
10.0
9.1
9.1
Web
Thick-
ness
(mm)
20.3
15.7
18.9
15.9
12.7
20.3
16.8
16.1
12.8
18.1
11.7
14.0
10.4
17.4
11.7
10.9
8.9
15.1
7,9
11.2
6.9
114
6.4
11.8
5,9
I
(106
mm²)
1315
1225
995
937
874
695
658
533
495
358
335
202
186
127
113
95.3
90.7
61.2
51.6
27.0
24.0
17.6
15.3
10.9
9.20
AXIS X-X
S
(10³
mm³)
4225
3935
3260
3065
2870
2705
2540
2100
1950
1690
1465
1060
977
832
744
626
596
482
408
265
236
198
172
144
121
(mm)
240
247
229
234
241
196
200
194
199
170
180
146
151
116
121
120
123
96.0
103
78.7
82.8
68.3
72.6
57.9
62.2
I
(106
mm)
34.7
32.1
19.9
18.7
17.6
20.9
19.5
12.4
11.5
10.0
8.66
6.53
5.99
6.53
5.66
4.11
3.90
3.48
2.83
1.79
1.55
1.32
1.10
0.961
0.758
AXIS X-Y
S
(103
mm³)
339
321
216
206
198
228
218
153
145
127
114
91.3
85.7
94.1
84.6
63.7
61.3
55.4
47.7
33.9
30.5
26.9
23.6
21.3
17.9
(mm)
38.9
39.9
32.3
33.0
34.0
33.8
34.5
29.5
30.2
27.4
29.0
26.2
27.2
26.2
26.9
24.1
25.4
22.9
24.2
20.3
21.1
18.6
19.5
17.1
17.9
Transcribed Image Text:Desig- nation* S610 x 180 X 158 X 149 x 134 X 119 S508 x 143 X 128 X 112 X98 S457 x 104 X 81 S381 % 74 X 64 $305 X 74 X 61 X 52 X 47 8254 % 52 X 38 8203 X 34 % 27 $178 % 30 X 23 9152 X 26 X 19 Area (mm²) 22970 20130 18900 17100 15160 18190 16320 14190 12520 13290 10390 9485 8130 9485 7740 6645 6030 6645 4815 4370 3490 3795 2905 3270 2370 Depth Width (mm) 622.3 622.3 609.6 609.6 609.6 515.6 515.6 508.0 508.0 457.2 457.2 381.0 381.0 304.8 304.8 304.8 304.8 254.0 254.0 203.2 203.2 177.8 177.8 FLANGE 152.4 152.4 204.5 199.9 184.0 181.0 177.8 182.9 179.3 162.2 158.9 158.8 152.4 143.3 139.7 139.1 133.4 129.0 127.0 125,6 1184 105.9 101.6 98.0 93.0 90.6 84.6 Thick- ness (mm) 27.7 27.7 22.1 22.1 22.1 23.4 23.4 20.2 20.2 17.6 17.6 15.8 15.8 16.7 16.7 13.8 13.8 12.5 12.5 10.8 10.8 10.0 10.0 9.1 9.1 Web Thick- ness (mm) 20.3 15.7 18.9 15.9 12.7 20.3 16.8 16.1 12.8 18.1 11.7 14.0 10.4 17.4 11.7 10.9 8.9 15.1 7,9 11.2 6.9 114 6.4 11.8 5,9 I (106 mm²) 1315 1225 995 937 874 695 658 533 495 358 335 202 186 127 113 95.3 90.7 61.2 51.6 27.0 24.0 17.6 15.3 10.9 9.20 AXIS X-X S (10³ mm³) 4225 3935 3260 3065 2870 2705 2540 2100 1950 1690 1465 1060 977 832 744 626 596 482 408 265 236 198 172 144 121 (mm) 240 247 229 234 241 196 200 194 199 170 180 146 151 116 121 120 123 96.0 103 78.7 82.8 68.3 72.6 57.9 62.2 I (106 mm) 34.7 32.1 19.9 18.7 17.6 20.9 19.5 12.4 11.5 10.0 8.66 6.53 5.99 6.53 5.66 4.11 3.90 3.48 2.83 1.79 1.55 1.32 1.10 0.961 0.758 AXIS X-Y S (103 mm³) 339 321 216 206 198 228 218 153 145 127 114 91.3 85.7 94.1 84.6 63.7 61.3 55.4 47.7 33.9 30.5 26.9 23.6 21.3 17.9 (mm) 38.9 39.9 32.3 33.0 34.0 33.8 34.5 29.5 30.2 27.4 29.0 26.2 27.2 26.2 26.9 24.1 25.4 22.9 24.2 20.3 21.1 18.6 19.5 17.1 17.9
An S178 x 30 American standard I-beam (see Appendix A) is loaded and supported
as shown below.
(a) Draw complete shear force and bending moment diagrams for the beam.
(b) Determine the maximum flexural stress in the beam.
y
A
X
15 kN/m
2 m-
25 kN
-2 m-
B
2 m-
C
I
Transcribed Image Text:An S178 x 30 American standard I-beam (see Appendix A) is loaded and supported as shown below. (a) Draw complete shear force and bending moment diagrams for the beam. (b) Determine the maximum flexural stress in the beam. y A X 15 kN/m 2 m- 25 kN -2 m- B 2 m- C I
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 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
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