= (a) A beam ABC of length L is supporting the point force F at B (x: diagram of the beam is drawn below it. Y M M FL- FL- L L F B F Given that EI is the flexural rigidity of the beam, show that the deflection of the beam at B is given by UB - -FL³/(48EI) by considering only half of the beam. + B (b) Now, a beam ABCD of length 3L/2 is supporting the point force F at B (x = L/2). The bending- moment diagram of the beam is drawn below it. L + L L L -X >X L L/2). The bending-moment D X Given that EI is the flexural rigidity of the beam, determine the deflection of the beam at D.

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
(a) A beam ABC of length L is supporting the point force F at B (x = L/2). The bending-moment
diagram of the beam is drawn below it.
Y
1/L
M
M
FL-
FL-
L
F
B
B
Given that EI is the flexural rigidity of the beam, show that the deflection of the beam at B is
given by vB = −FL³/(48EI) by considering only half of the beam.
+
+
(b) Now, a beam ABCD of length 3L/2 is supporting the point force F at B (x = L/2). The bending-
moment diagram of the beam is drawn below it.
L
L
L
L
L
L
X
L
32
X
D
-X
→X
Given that EI is the flexural rigidity of the beam, determine the deflection of the beam at D.
Transcribed Image Text:(a) A beam ABC of length L is supporting the point force F at B (x = L/2). The bending-moment diagram of the beam is drawn below it. Y 1/L M M FL- FL- L F B B Given that EI is the flexural rigidity of the beam, show that the deflection of the beam at B is given by vB = −FL³/(48EI) by considering only half of the beam. + + (b) Now, a beam ABCD of length 3L/2 is supporting the point force F at B (x = L/2). The bending- moment diagram of the beam is drawn below it. L L L L L L X L 32 X D -X →X Given that EI is the flexural rigidity of the beam, determine the deflection of the beam at D.
The simple truss ABCDEFGH is supporting two 12-kN loads at G and H, and supported at A and F
by pinned and roller joints, respectively, as shown below.
3m
Bo
3m 3 m
A
3 m
3 m
3 m
ID
www
H
G
12 kN 12 kN
3m
E
4m
(a) Determine the reactions at A and E by analysing an appropriate free-body diagram.
(b) Determine the forces on members CG and GH by analysing an appropriate free-body diagram.
State whether they are under compression or tension.
Transcribed Image Text:The simple truss ABCDEFGH is supporting two 12-kN loads at G and H, and supported at A and F by pinned and roller joints, respectively, as shown below. 3m Bo 3m 3 m A 3 m 3 m 3 m ID www H G 12 kN 12 kN 3m E 4m (a) Determine the reactions at A and E by analysing an appropriate free-body diagram. (b) Determine the forces on members CG and GH by analysing an appropriate free-body diagram. State whether they are under compression or tension.
Expert Solution
steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Knowledge Booster
Equilibrium and support reactions
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
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