4. Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is the maximum bending stress in the beam selected? 50 kN/m 4 m -2.4 m
4. Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is the maximum bending stress in the beam selected? 50 kN/m 4 m -2.4 m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:4. Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa.
What is the maximum bending stress in the beam selected?
50 kN/m
4 m
-2.4 m-
Transcribed Image Text:TABLE B-3 Properties of 1-Beom Sections (S-Shapes): SI Units
Flange
Axis X-X
Axis Y-Y
Web
Maw
Area
Depih
Width
Thickness
thicknes
S- lje
(10 mm')
Designation
(kgjm)
(mm)
(mm)
(mm)
(10* mm)
(mm)
(mm)
(mm)
(10 mm)
(10 mm')
(mm)
S610 x 180
x 158
x 149
134
119
180
158
149
134
22900
622
622
204
200
27.7
27.7
1 320
1 20
991
937
874
20.3
15.7
4230
3930
3260
240
247
229
34.5
32.0
338
320
38.9
39.9
323
20 100
18900
610
184
22.1
18.9
19.7
18.6
17.5
215
17 100
610
22.1
22.1
181
15.9
3060
234
205
197
119
15200
610
178
12.7
2870
33.0
241
34.0
S510 x 143
x 128
x 112
x98.2
18200
16 300
14200
12500
143
128
516
S16
508
183
179
162
23.4
23.4
20.2
20.2
20.3
2 700
2540
196
20.8
228
216
152
338
34.5
29.5
30.2
168
653
200
19.4
112
16.1
533
495
2100
194
123
98.2
508
159
12.8
1950
199
I14
144
S460 x 104
104
81.4
13200
10 300
457
159
17.6
18.1
1 690
1460
81.4
384
170
10.0
126
457
152
17.6
I1.7
27.4
180
8.62
29.0
S380 x 74
74.0
64.0
9480
381
143
15.8
14.0
10.4
1 060
973
202
146
6.49
5.95
64
S130
381
90.6
26.2
140
15.8
186
151
85.0
269
S310 x 74
60.7
x 52
47.3
74.0
60.7
52.0
9420
7680
6580
305
305
305
139
133
129
16.7
17.4
I1.7
10.9
126
829
116
121
120
6.49
93.2
84.1
636
26.2
269
24.9
16.7
112
949
903
739
624
5.62
4.10
13.8
47.3
6010
305
127
13.8
593
123
3.88
61.1
25.4
S250 x 52
52.0
37.8
6650
254
125
12.5
15.1
7.90
61.2
51.2
412
96.0
3.45
2.80
x 37.8
4810
254
55.1
228
I18
12.5
403
103
47.4
24.1
S200 x 34
34.0
27.4
430
3480
203
203
106
10.8
10.8
I1.2
6.88
26.9
23.9
265
26
78.5
82.8
1.78
1.54
27.4
33.6
30.2
20.2
210
102
SIS0 x 25.7
25.7
3260
152
90.7
9.12
IL8
589
10.9
9.16
143
57.9
0.953
0.749
2360
152
846
9.12
21.0
17.1
120
622
17.7
178
SI30x 15
1 890
I 800
15.0
127
76.2
8.28
5.44
5.12
80.3
52.1
0.495
13.0
162
S100 x 14.1
x 11.5
14.1
102
71.1
67.6
7.44
7.44
231
55.4
49.7
39.6
41.7
0.369
IL.S
10.4
143
14.6
1460
102
490
232
0.311
9.21
S75 x 11.2
11.2
1420
1070
76.2
638
6.60
886
121
318
29.2
0.241
0.186
8.50
76.2
59.2
7.55
13.0
6.60
432
104
274
31.2
628
13.2
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