A bar of a uniform cross-section is rigidly fixed at one end and loaded by an off-centre tensile point load F = 1.5 kN at the other end, see Fig. Q1a. The Figure Q1b presents the view of the beam from the free end where the point of application of the load F is indicated as A. The allowable stress [0]=234 MPa The geometrical parameters are given as follow h=18 mm, b=37 mm
A bar of a uniform cross-section is rigidly fixed at one end and loaded by an off-centre tensile point load F = 1.5 kN at the other end, see Fig. Q1a. The Figure Q1b presents the view of the beam from the free end where the point of application of the load F is indicated as A. The allowable stress [0]=234 MPa The geometrical parameters are given as follow h=18 mm, b=37 mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Question
![A bar of a uniform cross-section is rigidly fixed at one end and loaded by an off-centre tensile point
load F = 1.5 kN at the other end, see Fig. Q1a. The Figure Q1b presents the view of the beam from the
free end where the point of application of the load F is indicated as A. The allowable stress [0]=234
MPa
The geometrical parameters are given as follow
h 18 mm, b=37 mm
N
y
b
Figure Q1a
Figure Q1b
h
F
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd7e7f80-a25f-4a38-9ce4-88ca0a5411d3%2F0c02d3d9-dfb9-4419-8b5a-90ef953dcb9b%2Fv6rrea_processed.png&w=3840&q=75)
Transcribed Image Text:A bar of a uniform cross-section is rigidly fixed at one end and loaded by an off-centre tensile point
load F = 1.5 kN at the other end, see Fig. Q1a. The Figure Q1b presents the view of the beam from the
free end where the point of application of the load F is indicated as A. The allowable stress [0]=234
MPa
The geometrical parameters are given as follow
h 18 mm, b=37 mm
N
y
b
Figure Q1a
Figure Q1b
h
F
X
Transcribed Image Text:a)
Find:
Q1 - the magnitude of the maximum normal stress in the beam and where within the beam it is
achieved.
The bending moment relative to z-axis Mz on the cross section can be calcualted as
The bending moment relative to y-axis My on the cross section can be calcualted as
The second moment of area relatve to z-axis can be calculated as
mm4
mm4
The second moment of area relative to y-axis can be calculated as
Let B denote the point that achieves maximum normal stress on the cross section of the beam
The y-coordinate of B is
The z-coordinate of B is
mm
mm
The magnitude of the maximum normal stress in the beam can be calculated as
N.mm
N.mm
MPa
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 2 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