The wide-flange pinned-end column shown in the figure carries twoloads, a force acting at the centroid P₁ = 450kN and a force P₂ = 270kNacting at distance s = 100 mm, from the centroid.The column is an HE 240B shape with L = 4.2m, E = 200 GPa, andOy = 290 MPa.(a) What is the maximum compressive stress in the column? "H"olding2Wide-flangecolumn

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Answered: The wide-flange pinned-end column shown…

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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The wide-flange pinned-end column shown in the figure carries two
loads, a force acting at the centroid P₁ = 450kN and a force P₂ = 270kN
acting at distance s = 100 mm, from the centroid.
The column is an HE 240B shape with L = 4.2m, E = 200 GPa, and
Oy = 290 MPa.
(a) What is the maximum compressive stress in the column?

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(b) If the load P1 remains at 450 kN, what is the largest permissible value
of the load P2 in order to maintain a factor of safety of 2.0 with respect to yielding?

Designation
HE 240 B
of
Weight Depth Weight Thickness Thickness Radius of
per
of
of
of the Root
Metre Section Section
G
h
b
Web
tw
kg/m
83.2
mm
240
mm
240
mm
10.0
Flange
4
Inner
Depth
between
Filet Section Flanges
A
h₂
mm
17.0
.
r
mm
21
Area
of
am²
106
mm
206
Depth of
Straight
Portion
of Web
d
mm
164
Moment of
Inertia
ly
cm
11260
¹₂
cm²
Radius of
Gyration
ly
₂
am
cm
3923 10.3 6.08
Elastic Sectional
Modulus
Wy
cm³
938
W₂
cm³
327
Plastic Section
Modulus
Warping Torsional
Constant Constant
Wply
Wpiz
'w
cm³
cm³
dm
1053 498 0.488 104
4
cm4

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