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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
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
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
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Beams
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning