BS) For the beam detailed below, construct the shear force and bending moment diagrams under given loading. The values at the "strategic" points must be given. Therefore A 0≤x< 4m Vi 2 m V, +30AN-45AN-10RN-0V-25AN 1 4 m- Answer: Finding support reactions: ΣF-0= H,-0 EF-0-V, V, -45AN-10AN-0 EM-0[45AN 4m]+[10AN 6m]-[V,8m)-0-V₁-30AN T 4m≤ x<6m F-0=25&N-S-0-S-25AN 45 KN ↓ CD ΣM-0=[25kN x]-M-0-M-25x EF-025AN-45AN-S-0 ➡S--20ANS-20ANT 10 kN 2m 2m 2m EM-0=[25&Nxx]-[45AN* (x-4)]-M-0 ➡M - 25x-45x+180--20x+180 M--20x+180 25kN 2 m 45 KN 2m 10 KN D 2m 2m 25kN 4 m- 45 KN
BS) For the beam detailed below, construct the shear force and bending moment diagrams under given loading. The values at the "strategic" points must be given. Therefore A 0≤x< 4m Vi 2 m V, +30AN-45AN-10RN-0V-25AN 1 4 m- Answer: Finding support reactions: ΣF-0= H,-0 EF-0-V, V, -45AN-10AN-0 EM-0[45AN 4m]+[10AN 6m]-[V,8m)-0-V₁-30AN T 4m≤ x<6m F-0=25&N-S-0-S-25AN 45 KN ↓ CD ΣM-0=[25kN x]-M-0-M-25x EF-025AN-45AN-S-0 ➡S--20ANS-20ANT 10 kN 2m 2m 2m EM-0=[25&Nxx]-[45AN* (x-4)]-M-0 ➡M - 25x-45x+180--20x+180 M--20x+180 25kN 2 m 45 KN 2m 10 KN D 2m 2m 25kN 4 m- 45 KN
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
for the 3rd Digram moment why is it +180 or how did they came up with 180
![B5) For the beam detailed below, construct the shear force and bending moment diagrams
under given loading. The values at the "strategic" points must be given.
0<x<4m
A
HB
VB
2 m
4m≤ x<6m
B
Answer:
Finding support reactions:
ΣΕ 50 = 11, 20
ΣF-0 V, V, -45kN-10KN-0
Ma 0 [45kNx 4m]+[10AN 6m]-[Vx8m]-0 V-30ANT
Therefore
V +30kN-45kN-10KN-0-V-25kN
ΣF-0-25kN-S-0-S-25KN
45 KN
10 kN
If
C D
4 m.
ΣM-0[25kNxx] - M-0-M-25x
ΣF-0-25kN-45kN-S-0
⇒S--20kN-S-20ANT
2 m 2 m
Va
2 m
ΣM-0 [25kNxx]-[45AN* (x-4)]-M-0
⇒ M-25x-45x+180--20x+180 M--20x+180
B
4 m
25kN
2m
45 KN
2m
C D
10 kN
2 m
25kN
45 KN
4 m-
X
2 m
S
E
M](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3afc900a-c718-4e75-9668-b877cac7e5e5%2F005c670e-3d27-42f3-95be-e6fb9faa2b12%2Fuj116c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:B5) For the beam detailed below, construct the shear force and bending moment diagrams
under given loading. The values at the "strategic" points must be given.
0<x<4m
A
HB
VB
2 m
4m≤ x<6m
B
Answer:
Finding support reactions:
ΣΕ 50 = 11, 20
ΣF-0 V, V, -45kN-10KN-0
Ma 0 [45kNx 4m]+[10AN 6m]-[Vx8m]-0 V-30ANT
Therefore
V +30kN-45kN-10KN-0-V-25kN
ΣF-0-25kN-S-0-S-25KN
45 KN
10 kN
If
C D
4 m.
ΣM-0[25kNxx] - M-0-M-25x
ΣF-0-25kN-45kN-S-0
⇒S--20kN-S-20ANT
2 m 2 m
Va
2 m
ΣM-0 [25kNxx]-[45AN* (x-4)]-M-0
⇒ M-25x-45x+180--20x+180 M--20x+180
B
4 m
25kN
2m
45 KN
2m
C D
10 kN
2 m
25kN
45 KN
4 m-
X
2 m
S
E
M
Expert Solution
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 2 images
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 (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning