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?
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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5334ecb1-0a8f-45e6-ad6b-e9d03822a8f8%2F87492543-5024-4823-9720-5d192ab772ff%2Ffbrkc6b_processed.png&w=3840&q=75)
Transcribed Image Text: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?
!["H"
olding2
Wide-flange
column](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5334ecb1-0a8f-45e6-ad6b-e9d03822a8f8%2F87492543-5024-4823-9720-5d192ab772ff%2F0uwqblg_processed.png&w=3840&q=75)
Transcribed Image Text:"H"
olding2
Wide-flange
column
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Follow-up Questions
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Follow-up Question
(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?
![240
- 17
H
10
240](https://content.bartleby.com/qna-images/question/5334ecb1-0a8f-45e6-ad6b-e9d03822a8f8/7a25ad4d-b773-413c-bbb6-4d33be2cab41/tpbprlp_thumbnail.png)
Transcribed Image Text:240
- 17
H
10
240
![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](https://content.bartleby.com/qna-images/question/5334ecb1-0a8f-45e6-ad6b-e9d03822a8f8/7a25ad4d-b773-413c-bbb6-4d33be2cab41/wqe3i6a_thumbnail.png)
Transcribed Image Text: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
Solution
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