Desig-nation*S610 x 180X 158X 149x 134X 119S508 x 143X 128X 112X98S457 x 104X 81S381 % 74X 64$305 X 74X 61X 52X 478254 % 52X 388203 X 34% 27$178 % 30X 239152 X 26X 19Area(mm²)229702013018900171001516018190163201419012520132901039094858130948577406645603066454815437034903795290532702370Depth Width(mm)622.3622.3609.6609.6609.6515.6515.6508.0508.0457.2457.2381.0381.0304.8304.8304.8304.8254.0254.0203.2203.2177.8177.8FLANGE152.4152.4204.5199.9184.0181.0177.8182.9179.3162.2158.9158.8152.4143.3139.7139.1133.4129.0127.0125,61184105.9101.698.093.090.684.6Thick-ness(mm)27.727.722.122.122.123.423.420.220.217.617.615.815.816.716.713.813.812.512.510.810.810.010.09.19.1WebThick-ness(mm)20.315.718.915.912.720.316.816.112.818.111.714.010.417.411.710.98.915.17,911.26.91146.411.85,9I(106mm²)1315122599593787469565853349535833520218612711395.390.761.251.627.024.017.615.310.99.20AXIS X-XS(10³mm³)422539353260306528702705254021001950169014651060977832744626596482408265236198172144121(mm)24024722923424119620019419917018014615111612112012396.010378.782.868.372.657.962.2I(106mm)34.732.119.918.717.620.919.512.411.510.08.666.535.996.535.664.113.903.482.831.791.551.321.100.9610.758AXIS X-YS(103mm³)33932121620619822821815314512711491.385.794.184.663.761.355.447.733.930.526.923.621.317.9(mm)38.939.932.333.034.033.834.529.530.227.429.026.227.226.226.924.125.422.924.220.321.118.619.517.117.9 An S178 x 30 American standard I-beam (see Appendix A) is loaded and supportedas shown below.(a) Draw complete shear force and bending moment diagrams for the beam.(b) Determine the maximum flexural stress in the beam.yAX15 kN/m2 m-25 kN-2 m-B2 m-CI

Answered: Image /qna-images/answer/7457749b-9cb7-425d-bb78-654742f42979.jpg

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

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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.10.4P: A steel beam of rectangular cross section is 40 mm wide and 80 mm high (see figure). The yield...

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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

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

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