A cantilever beam of IPN 300 section and length L=3m supports a slightly inclined load P=2,5KN at the free end (see Figure Q2). 2.1 Plot a graph of the stress ?? at point A as a function of the angle of inclination ?. [16] 2.2 Plot a graph of the angle ?, which locates the neutral axis n-n, as a function of the angle ?. See Table F-2 of Appendix F for the dimensions and properties of the beam (When plotting the graphs, let ? vary from 0 ?? 10°).

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A cantilever beam of IPN 300 section and length L=3m supports a slightly inclined load P=2,5KN at the free end (see Figure Q2).
2.1 Plot a graph of the stress ?? at point A as a function of the angle of inclination ?. [16]
2.2 Plot a graph of the angle ?, which locates the neutral axis n-n, as a function of the angle ?. See Table F-2 of Appendix F for the dimensions and properties of the beam (When plotting the graphs, let ? vary from 0 ?? 10°).

Appendix F
Table F-2
Properties of European Standard Beans
Designation
PN 550
PN 500
PN
PN 400
450
PN 380
PN 360
PN 340
PN 320
PN
300
PN 280
PN
260
PN 240
PN 220
PN 200
PN
180
PN 160
Mass Area Depth Width
per of of of
section section section
meter
G
A
h
kg/m
cm²
mm
166 212
550
141
179
500
115
924
84
76.1
68
61
54.2
47.9
41.9
36.2
31.1
26.2
21.9
17.9
14.3
11.1
147
118
107
97
86.7
77.7
69
61
53.3
450
400
280
260
46.1 240
39.5 220
33.4
200
27.9
22.8
380
360
340
320
300
180
160
140
120
100
PN 140
18.3
PN 120
14.2
PN 100
8.34
10.6
PN 80
5.94
7.58 80
Note: Axes 1-1 and 2-2 are principal centroidal ases
mm
200
185
170
155
149
143
98
90
82
74
66
Thickness
137
131 11.5
125
58
50
42
19 30
18
27
119 10.1
113
9.4
106
8.7
t
mm
13.7
13
12.2 18.3
16.2 24.3 45850 2040
14.4 21.6 29210 1460
Strong axis 1-1
S₁
ста
5.7
5.1
4
cm
20.5 24010 1260
1090
19.5 19610
15700
12510
17.3
10.8 16.2 9800
13.1
12.2
7.5 11.3
99180 3610
68740 2750
6.9 10.4
6.3
9.5
8.6
7,7
4.5 6.8
3.9
5.9
15.2
7590
14.1 5740
4250
3060
2140
1450
935
573
328
171
77.8
782
653
542
442
354
278
214
161
117
4₂
cm
21.6 3490 349
19.6
13.5
12.7
11.9
Weak axis 2-2
į S₂
cm¹
cm²³
17.7 1730 203
15.7 1160
149
2480
15 975
131
14.2 818 114
7.2
6.4
5.61
T
81.9
54.7 4.81
34.2 4.01
19.5 3.2
11.1
10.4
9.59 221
8.8 162
8
117
555
451
364
84.7
72.2
cm
4.02
3.72
21.5 7.41
12.2
6.29
3.43
3.13
61.2
2.45
51
2.32
41.7
2.2
33.1
2.02
26 1.87
3
3.02
2.9
2.8
2.67
2.56
81.3 19.8
1.71
14.8 1.55
54.7
35.2 10.7 1.4
1.23
1.07
0.91
Transcribed Image Text:Appendix F Table F-2 Properties of European Standard Beans Designation PN 550 PN 500 PN PN 400 450 PN 380 PN 360 PN 340 PN 320 PN 300 PN 280 PN 260 PN 240 PN 220 PN 200 PN 180 PN 160 Mass Area Depth Width per of of of section section section meter G A h kg/m cm² mm 166 212 550 141 179 500 115 924 84 76.1 68 61 54.2 47.9 41.9 36.2 31.1 26.2 21.9 17.9 14.3 11.1 147 118 107 97 86.7 77.7 69 61 53.3 450 400 280 260 46.1 240 39.5 220 33.4 200 27.9 22.8 380 360 340 320 300 180 160 140 120 100 PN 140 18.3 PN 120 14.2 PN 100 8.34 10.6 PN 80 5.94 7.58 80 Note: Axes 1-1 and 2-2 are principal centroidal ases mm 200 185 170 155 149 143 98 90 82 74 66 Thickness 137 131 11.5 125 58 50 42 19 30 18 27 119 10.1 113 9.4 106 8.7 t mm 13.7 13 12.2 18.3 16.2 24.3 45850 2040 14.4 21.6 29210 1460 Strong axis 1-1 S₁ ста 5.7 5.1 4 cm 20.5 24010 1260 1090 19.5 19610 15700 12510 17.3 10.8 16.2 9800 13.1 12.2 7.5 11.3 99180 3610 68740 2750 6.9 10.4 6.3 9.5 8.6 7,7 4.5 6.8 3.9 5.9 15.2 7590 14.1 5740 4250 3060 2140 1450 935 573 328 171 77.8 782 653 542 442 354 278 214 161 117 4₂ cm 21.6 3490 349 19.6 13.5 12.7 11.9 Weak axis 2-2 į S₂ cm¹ cm²³ 17.7 1730 203 15.7 1160 149 2480 15 975 131 14.2 818 114 7.2 6.4 5.61 T 81.9 54.7 4.81 34.2 4.01 19.5 3.2 11.1 10.4 9.59 221 8.8 162 8 117 555 451 364 84.7 72.2 cm 4.02 3.72 21.5 7.41 12.2 6.29 3.43 3.13 61.2 2.45 51 2.32 41.7 2.2 33.1 2.02 26 1.87 3 3.02 2.9 2.8 2.67 2.56 81.3 19.8 1.71 14.8 1.55 54.7 35.2 10.7 1.4 1.23 1.07 0.91
N
n
B
C
A
Fa
Figure Q2: Cantilever Beam.
Transcribed Image Text:N n B C A Fa Figure Q2: Cantilever Beam.
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