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). Determine the equation of the neutral axis under these loading conditions and Find the maximum tensile and compressive stresses σt and σc respectively, in the column.
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). Determine the equation of the neutral axis under these loading conditions and Find the maximum tensile and compressive stresses σt and σc respectively, in the column.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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).
Determine the equation of the neutral axis under these loading conditions and Find the maximum tensile and compressive stresses σt and σc respectively, in the column.
Transcribed Image Text:Mass
Width
Thickness
Axis 1-1
Axis 2-2
Depth
of
section
Area
Designation
per
of
of
metre
section
section
Web
Flange
S
kg
cm?
cm
cm
cm
cm
mm
mm
mm
mm
mm
cm
cm
356 x 406
356 x 406
467
287
595.5
366.0
436.6
393.7
412.4
399.0
35.9
22.6
58.0
36.5
183118
99994
8388
5080
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
1273
806
37.7
64177
38740
3641
2368
14.5
13.9
20239
12524
8.14
7.89
25.0
254 x 254
254 x 254
264.5
258.3
31.7
20.5
29914
17510
2070
1313
9796
5901
167
212.4
136.6
289.1
266.7
19.2
13.0
11.9
11.3
741
457
6.79
6.57
107
110.1
75.8
222.3
208.8
205.2
13.0
9.3
20.5
9462
203 x 203
203 x 203
3119
2041
5.32
5.19
86
852
581
9.27
8.96
299
199
60
209.6
14.2
6088
152 x 152
152 x 152
47.4
29.8
161.8
152.4
154.4
152.4
2218
1263
3.87
3.68
8.1
37
23
274
166
709
403
92
53
11.5
6.84
6.1
6.8
6.51
Notes: Axes 1-1 and 2-2 are centroidal principal axes.
Transcribed Image Text:C
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