(b) By what amount P should the load P, be increased so that end Di the bar does not move when the loads aře applied? P1 P2 P3 A D a Figure 86
(b) By what amount P should the load P, be increased so that end Di the bar does not move when the loads aře applied? P1 P2 P3 A D a Figure 86
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer b show solution
![INTERNEAL
LOAD (kN)
P1
P2
SEGMENT
LENGTH (m)
AREA (sq.mm)
P3
A
B
AB
1.5
260
14KN (T)
2kN (T)
a
ВС
0.6
260
Figure 86
CD
0.9
260
6kN (C)
P, = 12 kN P2 = 8 kN
RA = 14 kN
P3 = 6 kN
PL
A
B
(14000N)(1500mm)
(260mm²)(210 × 10³MPA)
8 =
AE
SAB
= 0.3846mm
a = 1.5 m
b = 0.6 m
c = 0.9 m
(2000N)(600mm)
Figure 87
0.0220mm
(260mm?)(210 × 10³MPA)
(-6000N)(900mm)
ScD
= -0.0989mm
B B'
с с
D' D
A
(260mm²)(210 × 10³MPa)
a = 1.5 m
SA8 b = 0.6 m|ônc
c = 0.9 m
Sr = 8AB + ÔBC+ Scp
Figure 88
Sr = 0.3846mm + 0.0220mm – 0.0989mm
B
D'
ST = 0.3077mm
Zoom
||
a
14 of 29
Figure 89](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F192c7f84-847e-4d3a-a1b4-00c18efa6449%2Fd3abcb3e-4e68-4143-9f60-591ded633dd9%2F2hs5e9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:INTERNEAL
LOAD (kN)
P1
P2
SEGMENT
LENGTH (m)
AREA (sq.mm)
P3
A
B
AB
1.5
260
14KN (T)
2kN (T)
a
ВС
0.6
260
Figure 86
CD
0.9
260
6kN (C)
P, = 12 kN P2 = 8 kN
RA = 14 kN
P3 = 6 kN
PL
A
B
(14000N)(1500mm)
(260mm²)(210 × 10³MPA)
8 =
AE
SAB
= 0.3846mm
a = 1.5 m
b = 0.6 m
c = 0.9 m
(2000N)(600mm)
Figure 87
0.0220mm
(260mm?)(210 × 10³MPA)
(-6000N)(900mm)
ScD
= -0.0989mm
B B'
с с
D' D
A
(260mm²)(210 × 10³MPa)
a = 1.5 m
SA8 b = 0.6 m|ônc
c = 0.9 m
Sr = 8AB + ÔBC+ Scp
Figure 88
Sr = 0.3846mm + 0.0220mm – 0.0989mm
B
D'
ST = 0.3077mm
Zoom
||
a
14 of 29
Figure 89
![A steel bar AD has a cross-secțional area of 260 mm? and is loaded by
forçes P, = 12 kN, P,=8 kN, and P3 = 6 kN. The lengths of the segments
of the bar are a = 1:5 m, b = 0.6 m, and c =
(ạ) Assuming that the modulus of elasticity E = 210 GPa, calculate the
change in length & of the bar. Does the_bar elongate or shorten?
(b) By what amount P should the load P, be increased so that end D of
the bar does not move when the loads aře applied?
0.9 m.
P1
P2
P3
A
В
D
a
Figure 86](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F192c7f84-847e-4d3a-a1b4-00c18efa6449%2Fd3abcb3e-4e68-4143-9f60-591ded633dd9%2Fszacpof_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A steel bar AD has a cross-secțional area of 260 mm? and is loaded by
forçes P, = 12 kN, P,=8 kN, and P3 = 6 kN. The lengths of the segments
of the bar are a = 1:5 m, b = 0.6 m, and c =
(ạ) Assuming that the modulus of elasticity E = 210 GPa, calculate the
change in length & of the bar. Does the_bar elongate or shorten?
(b) By what amount P should the load P, be increased so that end D of
the bar does not move when the loads aře applied?
0.9 m.
P1
P2
P3
A
В
D
a
Figure 86
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning