A simply supported prismatic beam is loaded by a linearly increasing distributed load. The distributed load is at point A and equal to zero at the mid-span of the beam (Point B). The intensity of the of the load is 400kN/m and the length of the beam is 1.0m.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
A simply supported prismatic beam is loaded by a linearly increasing distributed load. The
distributed load is at point A and equal to zero at the mid-span of the beam (Point B). The
intensity of the of the load is 400kN/m and the length of the beam is 1.0m.
A
O
14/4-
Point E
-L/2-
C
25mm
Section c-c
B
L/2-
50mm
100mm
(a) To analyse the beam, you must use Mohr's circle to determine the principal stresses and sketch
the resultant state of stress at Point E. Make sure that you indicate the direction of the stresses
(tensile or compressive) and the angle associated with the principal stress state. Ensure that you
fully explain the process and equations that you have used to determine the magnitude of the
stresses at Section c-c. The locations of the point E is indicated in the image above.
(b) Do you expect that point E represents the critical locations on the beam? Le does this location
have the highest stresses? Justify your answer.
(c) If the allowable tensile stress is 250MPa, what is the maximum intensity, wo, that can be applied
to the beam?
Transcribed Image Text:A simply supported prismatic beam is loaded by a linearly increasing distributed load. The distributed load is at point A and equal to zero at the mid-span of the beam (Point B). The intensity of the of the load is 400kN/m and the length of the beam is 1.0m. A O 14/4- Point E -L/2- C 25mm Section c-c B L/2- 50mm 100mm (a) To analyse the beam, you must use Mohr's circle to determine the principal stresses and sketch the resultant state of stress at Point E. Make sure that you indicate the direction of the stresses (tensile or compressive) and the angle associated with the principal stress state. Ensure that you fully explain the process and equations that you have used to determine the magnitude of the stresses at Section c-c. The locations of the point E is indicated in the image above. (b) Do you expect that point E represents the critical locations on the beam? Le does this location have the highest stresses? Justify your answer. (c) If the allowable tensile stress is 250MPa, what is the maximum intensity, wo, that can be applied to the beam?
Expert Solution
steps

Step by step

Solved in 9 steps with 20 images

Blurred answer
Knowledge Booster
System of units
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
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