3. A beam is loaded and supported as shown below. Using the superposition method, determine (a) The support reactions. (b) The deflection of the beam at C. (c) The deflection at C for a structural steel S152 x 19 American standard beam, if l=4m and P = 5 kN. l B l P
3. A beam is loaded and supported as shown below. Using the superposition method, determine (a) The support reactions. (b) The deflection of the beam at C. (c) The deflection at C for a structural steel S152 x 19 American standard beam, if l=4m and P = 5 kN. l B l P
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.5.4P: Beam ABC is loaded by a uniform load q and point load P at joint C. Using the method of...
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Transcribed Image Text:TABLE A-4 American Standard Beams (Sl Units)
Desig-
nation*
S610 X 180
x 158
X 149
x 134
X 119
S508 × 143
x 128
x 112
x 98
S457 X 104
X 81
S381 X 74
X 64
S305 x 74
X 61
X 52
X 47
S254 x 52
X 38
S203 × 34
x 27
S178 X 30
x 23
S152 X 26
X 19
S127 x 22
X 15
S102 X 14
X 11
S76 X 11
Area
(mm²)
X 8.5
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
2800
1895
I
1800
1460
Depth
(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
152.4
152.4
127.0
127.0
101.6
101.6
FLANGE
76.2
76.2
Width
(mm)
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
118.4
105.9
101.6
98.0
93.0
90.6
84.6
83.4
76.3
71.0
67.6
Thick-
ness
(mm)
63.7
59.2
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
8.3
8.3
7.4
7.4
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
11.4
6.4
11.8
5.9
12.5
5.4
8.3
4.9
I
(106
mm¹)
8.9
4:3
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
6.33
5.12
2.83
2.53
AXIS X-X
S
(10³
mm³)
1.22
1,05
4225
3935
3260
3065
2870
2705
2540
2100
1950
1690
1465
1060
977
832
744
626
596
482
408
265
236
198
172
1425
6.6
1075
6.6
*S means standard beam, followed by the nominal depth in min, then the mass in kg per meter of length.
144
121
99.8
80.6
55.6
49.8
X-----X
32.0
27.5
I
(106
(mm) 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
47.5
52.1
39.6
41.7
29.2
31.2
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
0.695
0.508
0.376
0.318
0.244
0.189
AXIS Y-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
16.6
13.3
10.6
9.41
7.67
6.39
(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
15.7
16.3
14.5
14.8
13.1
13.3
Transcribed Image Text:3. A beam is loaded and supported as shown below. Using the superposition method,
determine
(a) The support reactions.
(b) The deflection of the beam at C.
(c) The deflection at C for a structural steel S152 x 19 American standard beam, if
l = 4m and P = 5 kN.
·l
B
·l-
P
C
l-
D
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