1. Determine the slope and deflection at point B of the beam ABC shown using the Area- Moment Method. Use E = 200 GPa and I = 1665 x 106 mmª. 270 KN 45 kN/m A B 3 m -3 m -3 m T
1. Determine the slope and deflection at point B of the beam ABC shown using the Area- Moment Method. Use E = 200 GPa and I = 1665 x 106 mmª. 270 KN 45 kN/m A B 3 m -3 m -3 m T
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Determine the slope and deflection at point B of the beam ABC shown using the AreaMoment Method. Use E = 200 GPa and I = 1665 x 106 mm4
SUBJECT: THEORY OF STRUCTURES
THE SECOND PIC IS MY PROGRESS
![1. Determine the slope and deflection at point B of the beam ABC shown using the Area-
Moment Method. Use E = 200 GPa and I = 1665 x 106 mm².
270 KN
45 kN/m
A
B
3 m
3 m
3 m
T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F107cadeb-f586-498e-9b22-610959e2cb10%2F5282520b-aad6-4161-8518-2ca5ebb622db%2Fukitci6_processed.png&w=3840&q=75)
Transcribed Image Text:1. Determine the slope and deflection at point B of the beam ABC shown using the Area-
Moment Method. Use E = 200 GPa and I = 1665 x 106 mm².
270 KN
45 kN/m
A
B
3 m
3 m
3 m
T
![MAA
270 KN
3mm
3m
MEI ALLY
M/E!
wrt pt (Ⓡ
45 kN/m pick ref. point
B
M/2l wrt
pt.
3m
(2) Solve for reactions
ZMA=0;
(3)
14- = 270 (0) = 45 (4+ 2) = 0
MAZ
27 M4 - 270 (3)-45 (3) (6+2) = 0
ма
MA =
= + 1822.30 KN-m, (
4ZFY = 0;
AY-270-45(3) = 0
+ZFx = 0;
✓ An=2°
✓Xn=2°
45 kN/m
-MA = "1822 50 KM²m
#1
PL = 405 (3) - 1215 14-47
E
El
0
-45 (6²) ₂-810 IN-M
EI
2E1
45 (3²)
221
O
202-5 KN.M
E1
=
=
Ay = 4015 KN, 1
Ax = 0
·bh
(2)+1
(2) +z = b
+2
MA
L=3
L=3
B
PL
45kN/m
-Ama LEGM
L=3m
w=95 KNYM](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F107cadeb-f586-498e-9b22-610959e2cb10%2F5282520b-aad6-4161-8518-2ca5ebb622db%2F5ijy5ne_processed.png&w=3840&q=75)
Transcribed Image Text:MAA
270 KN
3mm
3m
MEI ALLY
M/E!
wrt pt (Ⓡ
45 kN/m pick ref. point
B
M/2l wrt
pt.
3m
(2) Solve for reactions
ZMA=0;
(3)
14- = 270 (0) = 45 (4+ 2) = 0
MAZ
27 M4 - 270 (3)-45 (3) (6+2) = 0
ма
MA =
= + 1822.30 KN-m, (
4ZFY = 0;
AY-270-45(3) = 0
+ZFx = 0;
✓ An=2°
✓Xn=2°
45 kN/m
-MA = "1822 50 KM²m
#1
PL = 405 (3) - 1215 14-47
E
El
0
-45 (6²) ₂-810 IN-M
EI
2E1
45 (3²)
221
O
202-5 KN.M
E1
=
=
Ay = 4015 KN, 1
Ax = 0
·bh
(2)+1
(2) +z = b
+2
MA
L=3
L=3
B
PL
45kN/m
-Ama LEGM
L=3m
w=95 KNYM
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 3 steps with 3 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