antilever rectangular "yacal" beam, 75mm wide by 150mm deep, carries a ormly distributed load of 3200N/m over its entire length. What is the maximum th of the beam if the flexural stress is limited to 15 Mpa?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A cantilever rectangular "yacal" beam, 75mm wide by 150mm deep, carries a
uniformly distributed load of 3200N/m over its entire length. What is the maximum
length of the beam if the flexural stress is limited to 15 Mpa?
Transcribed Image Text:A cantilever rectangular "yacal" beam, 75mm wide by 150mm deep, carries a uniformly distributed load of 3200N/m over its entire length. What is the maximum length of the beam if the flexural stress is limited to 15 Mpa?
TABLE B-2 PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES SI UNITS (Continued)
Desigration
W3303219
能
X182
X165
X150
XIN
X123
X109
X101
文化
X55
W460 X177
X158
X144
X128
X113
X106
X97
大家
2
X74
为加
0619
Theoretical
Pane
2189
196.5
C310X45
门
X31
181.7
165.3
150.6
138.3
123.2
109.0
101.4
92.5
84.7
74,7
65.7
C200×28
X21
X17
177.3
157.7
144.6
128.4
113.1
105.8
96.6
89.3
81.9
74.2
68.1
60.9
Theoretical
mass
IERR
C380X74
60
50.5
50
74.4
59.4
C250×45
39
30 29.6
3
22.6
Area
-
27 900
25 000
23 100
21 100
C230 x30 29.8
2
22.3
x20
19.8
19 200
17 600
15 700
13 900
12 900
11 800
10 500
10 800
9 520
8 370
22 600
20 100
18 400
27.9
20.4
17.0
16 400
14 400
13 500
12 300
11 400
10 400
9450
44.7 5690
37.1
4720
30.8 3920
9 480
7 570
6 430
44.5
5 670
37.3 4750
3780
2 880
Deporth With Thiness
mm
www
560 318
316
315
3 800
2840
2530
554
551
546
543
549
544
$ 680
7 760 450
3560
2600
2170
539
537
533
528
535
529
525
喜星云两两深深R芮芮芮芮约约约穿穿穿
476
472
463
469
466
463
460
457
a
别关台可共有商追追追 汽关兴兴民正田白云区县要
313
76
73
69
65
312
67
63
61
214
64
59
57
212
211
209
TABLE B-4 PROPERTIES OF CHANNEL SECTIONS: SI UNITS
Designation (kg/m) (mm) (mm) (mm) (mm)
94
209
166
166
Flange
165
286
284
Flange
Area Depth Width Thickness
283
282
280
193
192
189
86
80 12.7
竹
12.7
74
12.7
16.5
16.5
16.5
ALL
11.1
29.2
10.5
10.5
10.5
24.4
22.2
20.3
23.6
21.2
家家
17,4
15.6
9.9
9.9
9.9
16.5
13.6
26.9
23.9
22.1
19.6
17.3
20.6
19.0
17.7
16.0
14.5
12.7
10.8
Web
thickness
(mm)
18.2
13.2
10.2
9.6
6.1
11.4
7.2
5.9
ress
g
12.4
7.7
5.6
16.5
15.2
14.0
12.7
147
13.1
11.6
10.9
10.2
13.0
9.8
7.2
17.1-
9.5
10.3
9.7
8.9
16.6
15.0
13.6
12.2
10.8
126
11.4
10.5
9.0
很多
8.1
168
145
131
67.3
59.9
53.5
42.8
37.9
32.7
27.8
25.5
21.3
19.8
10
18.2
14.9
13.5
1510
1340
1240
1 110
1010
861
761
667
617
552
479
411
351
910
796
726
637
556
488
445
410
370
333
300
259
760
687
442
393
351
337
299
257
219
Axis E-E
222
186
173
(1P h m
180
147
133
5390
4840
4060
3710
3140
Axis X-X
2480
2 300
2070
1810
1810
1 550
1340
3780
3.350
3080
2730
2400
2080
1910
1770
1610
1460
1320
1150
133
138
143
109
113
117
A
81.9
86.6
来了
2010
232
232
229
71.5
75.7
78.9
229
221
220
219
219
216
214
212
205
201
199
199
197
196
190
190
190
189
188
183
4.60
3.84
3.39
2.12
1.85
86.9
1.60
89.3 1.40
93.0
98.2
1.59
1.16
0.922
1.01
0.806
0.716
I
of
0.825
0.627
0.544
2
157
139
127
114
103
38.7
33.8
29.5
23.8
20.3
12.6
10.4
1
1 - YIJA
1
r - YA
K
(10° mm) (10° mm) (mm) (10 mm) (10P mm) (mm) (mm)
装行
105
91.4
83.6
73.3
63.3
25.1
22.8
20.9
18.6
16.6
146
12.2
Axis Y-Y
33.6
30.9
62.4
55.5
51.4
28.2
Ai Y-Y
26.8
24.3
21.5
18.8
(10² mm)
986
877
BON
726
659
19.3
16.8
15.6
16.6
13.9
12.8
319
会将肉肉法BA革 RBRA梦的与并奖给B的
280
256
104
735
153
129
22.0
22.5
23.0
19.3
19.8
20.1
16.8
17.2
17.5
17.9
16.3
16.8
16.8
r-DA
(mm)
15.2
没写
15.8
75.0
74.6
74.1
715
73.2
6.4
45.7
39dda Glasses99996
20.3
19.7
20.0
17.0
17.1
17.5
16.3
15.7.
15.3
15.9
15.1
144
14.0
14.3
14.8
14.9
Transcribed Image Text:TABLE B-2 PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES SI UNITS (Continued) Desigration W3303219 能 X182 X165 X150 XIN X123 X109 X101 文化 X55 W460 X177 X158 X144 X128 X113 X106 X97 大家 2 X74 为加 0619 Theoretical Pane 2189 196.5 C310X45 门 X31 181.7 165.3 150.6 138.3 123.2 109.0 101.4 92.5 84.7 74,7 65.7 C200×28 X21 X17 177.3 157.7 144.6 128.4 113.1 105.8 96.6 89.3 81.9 74.2 68.1 60.9 Theoretical mass IERR C380X74 60 50.5 50 74.4 59.4 C250×45 39 30 29.6 3 22.6 Area - 27 900 25 000 23 100 21 100 C230 x30 29.8 2 22.3 x20 19.8 19 200 17 600 15 700 13 900 12 900 11 800 10 500 10 800 9 520 8 370 22 600 20 100 18 400 27.9 20.4 17.0 16 400 14 400 13 500 12 300 11 400 10 400 9450 44.7 5690 37.1 4720 30.8 3920 9 480 7 570 6 430 44.5 5 670 37.3 4750 3780 2 880 Deporth With Thiness mm www 560 318 316 315 3 800 2840 2530 554 551 546 543 549 544 $ 680 7 760 450 3560 2600 2170 539 537 533 528 535 529 525 喜星云两两深深R芮芮芮芮约约约穿穿穿 476 472 463 469 466 463 460 457 a 别关台可共有商追追追 汽关兴兴民正田白云区县要 313 76 73 69 65 312 67 63 61 214 64 59 57 212 211 209 TABLE B-4 PROPERTIES OF CHANNEL SECTIONS: SI UNITS Designation (kg/m) (mm) (mm) (mm) (mm) 94 209 166 166 Flange 165 286 284 Flange Area Depth Width Thickness 283 282 280 193 192 189 86 80 12.7 竹 12.7 74 12.7 16.5 16.5 16.5 ALL 11.1 29.2 10.5 10.5 10.5 24.4 22.2 20.3 23.6 21.2 家家 17,4 15.6 9.9 9.9 9.9 16.5 13.6 26.9 23.9 22.1 19.6 17.3 20.6 19.0 17.7 16.0 14.5 12.7 10.8 Web thickness (mm) 18.2 13.2 10.2 9.6 6.1 11.4 7.2 5.9 ress g 12.4 7.7 5.6 16.5 15.2 14.0 12.7 147 13.1 11.6 10.9 10.2 13.0 9.8 7.2 17.1- 9.5 10.3 9.7 8.9 16.6 15.0 13.6 12.2 10.8 126 11.4 10.5 9.0 很多 8.1 168 145 131 67.3 59.9 53.5 42.8 37.9 32.7 27.8 25.5 21.3 19.8 10 18.2 14.9 13.5 1510 1340 1240 1 110 1010 861 761 667 617 552 479 411 351 910 796 726 637 556 488 445 410 370 333 300 259 760 687 442 393 351 337 299 257 219 Axis E-E 222 186 173 (1P h m 180 147 133 5390 4840 4060 3710 3140 Axis X-X 2480 2 300 2070 1810 1810 1 550 1340 3780 3.350 3080 2730 2400 2080 1910 1770 1610 1460 1320 1150 133 138 143 109 113 117 A 81.9 86.6 来了 2010 232 232 229 71.5 75.7 78.9 229 221 220 219 219 216 214 212 205 201 199 199 197 196 190 190 190 189 188 183 4.60 3.84 3.39 2.12 1.85 86.9 1.60 89.3 1.40 93.0 98.2 1.59 1.16 0.922 1.01 0.806 0.716 I of 0.825 0.627 0.544 2 157 139 127 114 103 38.7 33.8 29.5 23.8 20.3 12.6 10.4 1 1 - YIJA 1 r - YA K (10° mm) (10° mm) (mm) (10 mm) (10P mm) (mm) (mm) 装行 105 91.4 83.6 73.3 63.3 25.1 22.8 20.9 18.6 16.6 146 12.2 Axis Y-Y 33.6 30.9 62.4 55.5 51.4 28.2 Ai Y-Y 26.8 24.3 21.5 18.8 (10² mm) 986 877 BON 726 659 19.3 16.8 15.6 16.6 13.9 12.8 319 会将肉肉法BA革 RBRA梦的与并奖给B的 280 256 104 735 153 129 22.0 22.5 23.0 19.3 19.8 20.1 16.8 17.2 17.5 17.9 16.3 16.8 16.8 r-DA (mm) 15.2 没写 15.8 75.0 74.6 74.1 715 73.2 6.4 45.7 39dda Glasses99996 20.3 19.7 20.0 17.0 17.1 17.5 16.3 15.7. 15.3 15.9 15.1 144 14.0 14.3 14.8 14.9
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