A short column constructed of a 254 x 254 x107 kg UC section (use the table below) is subjected to a compressive load P = 130 kN that has its line of action at one of the outside corners of the cross section (see figure). (a) Determine the equation of the neutral axis under these loading conditions. (b) Find the maximum tensile and compressive stresses o, and o, respectively, in the column. Axis 2-2 Depth of seetion Width of seetion Mass Area Thiekness Axis 1-1 of seetion Designation per Web Flange metre kg cm cm cm cm mm mm mm mm cm 356 x 406 356 x 406 467 287 $95.5 366.0 436.6 393.7 412.4 399.0 35.9 22.6 58.0 36.5 183118 99994 8388 S080 17.5 16.5 67905 38714 3293 1940 10.7 10.3 305 x 305 305 x 305 240 158 305.6 201.2 352.6 327.2 317.9 310.6 23.0 15.7 37.7 25.0 64177 38740 3641 14.5 13.9 20239 12524 1273 806 8.14 7.89 2368 254 x 254 254 x 254 167 107 212.4 136.6 289.1 266.7 264.5 258.3 741 457 6.79 6.57 19.2 31.7 29914 17510 2070 1313 11.9 11.3 9796 5901 13.0 20.5 852 222.3 209.6 208.8 205.2 13.0 9.3 20.5 9462 9.27 299 203 x 203 203 x 203 86 60 110.1 75.8 3119 2041 5.32 5.19 14.2 6088 581 8.96 199 152 x 152 152 x 152 37 23 47.4 29.8 161.8 152.4 154.4 152.4 8.1 6.1 11.5 6.8 2218 1263 274 166 6.84 6.51 709 403 92 53 3.87 3.68
A short column constructed of a 254 x 254 x107 kg UC section (use the table below) is subjected to a compressive load P = 130 kN that has its line of action at one of the outside corners of the cross section (see figure). (a) Determine the equation of the neutral axis under these loading conditions. (b) Find the maximum tensile and compressive stresses o, and o, respectively, in the column. Axis 2-2 Depth of seetion Width of seetion Mass Area Thiekness Axis 1-1 of seetion Designation per Web Flange metre kg cm cm cm cm mm mm mm mm cm 356 x 406 356 x 406 467 287 $95.5 366.0 436.6 393.7 412.4 399.0 35.9 22.6 58.0 36.5 183118 99994 8388 S080 17.5 16.5 67905 38714 3293 1940 10.7 10.3 305 x 305 305 x 305 240 158 305.6 201.2 352.6 327.2 317.9 310.6 23.0 15.7 37.7 25.0 64177 38740 3641 14.5 13.9 20239 12524 1273 806 8.14 7.89 2368 254 x 254 254 x 254 167 107 212.4 136.6 289.1 266.7 264.5 258.3 741 457 6.79 6.57 19.2 31.7 29914 17510 2070 1313 11.9 11.3 9796 5901 13.0 20.5 852 222.3 209.6 208.8 205.2 13.0 9.3 20.5 9462 9.27 299 203 x 203 203 x 203 86 60 110.1 75.8 3119 2041 5.32 5.19 14.2 6088 581 8.96 199 152 x 152 152 x 152 37 23 47.4 29.8 161.8 152.4 154.4 152.4 8.1 6.1 11.5 6.8 2218 1263 274 166 6.84 6.51 709 403 92 53 3.87 3.68
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A short column constructed of a 254 x 254
x107 kg UC section (use the table below) is
subjected to a compressive load P = 130 kN
that has its line of action at one of the
outside corners of the cross section (see
figure).
(a) Determine the equation of the neutral
axis under these loading conditions.
(b) Find the maximum tensile and compressive
stresses o, and o, respectively, in the column.
Width
of
section
Mass
Axis 2-2
Depth
of
Area
Thickness
Axis 1-1
Designation
per
metre
of
section
section
Web
Flange
kg
cm
cm
cm
cm
mm
mm
mm
mm
mm
cm
436.6
393.7
412.4
399.0
356 x 406
467
595.5
366.0
35.9
22.6
58.0
36.5
183118
99994
8388
17.5
67905
3293
10.7
10.3
356 x 406
287
5080
16.5
38714
1940
352.6
327.2
305 x 305
240
305.6
317.9
23.0
15.7
37.7
64177
3641
2368
14.5
13.9
20239
12524
1273
806
8.14
305 x 305
158
201.2
310.6
25.0
38740
7.89
254 x 254
254 x 254
2070
1313
167
212.4
136.6
289.1
266.7
264.5
258.3
19.2
13.0
31.7
20.5
29914
11.9
11.3
9796
5901
741
457
6.79
107
17510
6.57
3119
2041
203 х 203
86
299
110.1
75.8
222.3
209.6
208.8
205.2
13.0
9.3
20.5
9462
852
9.27
8.96
5.32
203 x 203
60
14.2
6088
581
199
5.19
152 x 152
152 x 152
37
23
47.4
29.8
161.8
152.4
154.4
152.4
8.1
6.1
I1.5
6.8
2218
1263
274
166
6.84
6.51
709
403
92
53
3.87
3.68
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