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

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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Concept explainers

Design criteria for structural loading

The different loads such as loads due to self-weight (dead load) and external loads such as live load, wind loads, seismic load, snow load, and other loads and load combinations that influence the design of a building are called structural loading. The nature of the applied load differs from changes in the location, design, and type of materials used. The design criteria require that structures must be designed and constructed to be able to withstand all load types that are expected to act upon the structure and render its usage for the designated purpose. The structural members such as beams, slabs, columns, and foundations help the structure to withstand the applied load. There are different institutes such as ASCE and ACI that provide building design codes to assure minimum safety requirements and quality of the structures.

Question

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?

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