A 3.5m long column (W18x55) at the ground floor is pinned at the bottom and fixed against rotation but free to translate at the top. Use ASD and A36 steel. Assume floor loads as follows: 1.0kPa service dead load on all floors and 1.9kPa service live load on all floors including the roof. Ignore live load reduction. B 6m 6m 7.5m 7.5m (a) Floor Plan C ↑ R (b) Elevation 7.5m a) Find the critical radius of gyration. b) Provide Fer in MPa. c) Determine the allowable compressive strength in kN. 7.5m 3m 3m 3.5m

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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AISC_Manual_
Label
W18X55
Nominal
Wt.
W
kg/m
81.8
Area Depth
A
d
Flange
width
b,
mm
mm
mm
10452 459.7 191.3
m
Web
thickness
Tw
mm
9.9
Flange
thickness
tr
mm
16.0
…
k das
mm
26.2
Distance
k
k den
mm
33.3
k₁
mm
20.6
Compact Section
Criteria
br/2t, h/tw
5.98
41.1
Axis X-X
S₂
x10
1x
Zx
x10
x10
mm*
mm
370,446 1,835.35
3
T
rx
mm
mm
1,610.85 188.21
Shape
Factors
1.13937
ly
x10³
mm*
18,689
Zy
x10³
mm
Axis Y-Y
303.16
w
Sy
x10³
mm³
mm
195.01 42.42 1.55462
ry
Shape
Factors
+
Torsional Properties
Cw
x10⁰
mmᵒ
J
x10³
mm*
690.94
Tis
mm
921,078 50.80
Transcribed Image Text:AISC_Manual_ Label W18X55 Nominal Wt. W kg/m 81.8 Area Depth A d Flange width b, mm mm mm 10452 459.7 191.3 m Web thickness Tw mm 9.9 Flange thickness tr mm 16.0 … k das mm 26.2 Distance k k den mm 33.3 k₁ mm 20.6 Compact Section Criteria br/2t, h/tw 5.98 41.1 Axis X-X S₂ x10 1x Zx x10 x10 mm* mm 370,446 1,835.35 3 T rx mm mm 1,610.85 188.21 Shape Factors 1.13937 ly x10³ mm* 18,689 Zy x10³ mm Axis Y-Y 303.16 w Sy x10³ mm³ mm 195.01 42.42 1.55462 ry Shape Factors + Torsional Properties Cw x10⁰ mmᵒ J x10³ mm* 690.94 Tis mm 921,078 50.80
A 3.5m long column (W18x55) at the ground floor is pinned at the bottom and fixed against rotation but
free to translate at the top. Use ASD and A36 steel.
Assume floor loads as follows:
1.0kPa service dead load on all floors and
1.9kPa service live load on all floors including the roof.
Ignore live load reduction.
B
6m
6m
7.5m
7.5m
(a) Floor Plan
C
↑
R
(b) Elevation
7.5m
7.5m
3m
3m
3.5m
a) Find the critical radius of gyration.
b) Provide Fer in MPa.
c) Determine the allowable compressive strength in kN.
d) Calculate the total service load supported by the interior column C in kN located at grid 2-B in the
ground floor level.
e) Based on (d), what is the adequacy against compression?
Transcribed Image Text:A 3.5m long column (W18x55) at the ground floor is pinned at the bottom and fixed against rotation but free to translate at the top. Use ASD and A36 steel. Assume floor loads as follows: 1.0kPa service dead load on all floors and 1.9kPa service live load on all floors including the roof. Ignore live load reduction. B 6m 6m 7.5m 7.5m (a) Floor Plan C ↑ R (b) Elevation 7.5m 7.5m 3m 3m 3.5m a) Find the critical radius of gyration. b) Provide Fer in MPa. c) Determine the allowable compressive strength in kN. d) Calculate the total service load supported by the interior column C in kN located at grid 2-B in the ground floor level. e) Based on (d), what is the adequacy against compression?
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