A compression member loaded eccentrically with a vertical load P has an effectivelength of Le and the eccentricity e. The column is made of steel for which theallowable stress in bending is 150 MPa. Using the interaction method, for the wideflange shape W250x101 and for the material properties y = 220 MPa, E = 200 GPa.determine the maximum allowable value of P (in kN). Le (8.2m) , e (0.05m) APPENDIX C Properties of Rolled-Steel Shapes(SI Units)Continued from page A18dW Shapes(Wide-Flange Shapes)FlangeWebAxis X-XAxis Y-YThick-Thick-Depth WidthS.10° mm4 103 mm3 mmAreanessS,nessTyDesignationt A, mm? d, mm br, mmt, mmtw, mm1o mm4 10 mmmm11281.2W310 x 1431820032331022.914.0347215013872878.51071360031230517.010.9248160013553177.274942031020516.39.40163105013223.422849.860755030220313.17.4912884413018.418049.352665031816713.27.6211974713310.212239.144.5567031216611.26.6099.16331328.4510238.638.732.749403101659.655.8484.95471317.2087.538.4418031210210.86.6064.94161251.9437.921.523.830403051016.735.5942.92801191.1723.119.6W250 x 1672120029026431.819.2298206011898.274268.11011290026425719.611.9164124011355.843365.8801020025725415.69.412698311142.933865.067858025720415.7S.8910380511022.221851.158742025220313.58.0087.069010818.718550.349.1626024720211.07.3771.257410615.215149.344.8570026714813.07.6270.85311116.9594.234.8 A compression member loaded eccentrically with a vertical load P has an effectivelength of Le and the eccentricity e. The column is made of steel for which theallowable stress in bending is 150 MPa. Using the interaction method, for the wide-flange shape W250x101 and for the material properties Oy = 220 MPa, E = 200 GPa.determine the maximum allowable value of P (in kN).

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Answered: A compression member loaded…

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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Question

A compression member loaded eccentrically with a vertical load P has an effective
length of Le and the eccentricity e. The column is made of steel for which the
allowable stress in bending is 150 MPa. Using the interaction method, for the wideflange shape W250x101 and for the material properties y = 220 MPa, E = 200 GPa.
determine the maximum allowable value of P (in kN).
Le (8.2m) , e (0.05m)

APPENDIX C Properties of Rolled-Steel Shapes
(SI Units)
Continued from page A18
d
W Shapes
(Wide-Flange Shapes)
Flange
Web
Axis X-X
Axis Y-Y
Thick-
Thick-
Depth Width
S.
10° mm4 103 mm3 mm
Area
ness
S,
ness
Ty
Designationt A, mm? d, mm br, mm
t, mm
tw, mm
1o mm4 10 mm
mm
112
81.2
W310 x 143
18200
323
310
22.9
14.0
347
2150
138
728
78.5
107
13600
312
305
17.0
10.9
248
1600
135
531
77.2
74
9420
310
205
16.3
9.40
163
1050
132
23.4
228
49.8
60
7550
302
203
13.1
7.49
128
844
130
18.4
180
49.3
52
6650
318
167
13.2
7.62
119
747
133
10.2
122
39.1
44.5
5670
312
166
11.2
6.60
99.1
633
132
8.45
102
38.6
38.7
32.7
4940
310
165
9.65
5.84
84.9
547
131
7.20
87.5
38.4
4180
312
102
10.8
6.60
64.9
416
125
1.94
37.9
21.5
23.8
3040
305
101
6.73
5.59
42.9
280
119
1.17
23.1
19.6
W250 x 167
21200
290
264
31.8
19.2
298
2060
118
98.2
742
68.1
101
12900
264
257
19.6
11.9
164
1240
113
55.8
433
65.8
80
10200
257
254
15.6
9.4
126
983
111
42.9
338
65.0
67
8580
257
204
15.7
S.89
103
805
110
22.2
218
51.1
58
7420
252
203
13.5
8.00
87.0
690
108
18.7
185
50.3
49.1
6260
247
202
11.0
7.37
71.2
574
106
15.2
151
49.3
44.8
5700
267
148
13.0
7.62
70.8
531
111
6.95
94.2
34.8

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