A cantilever beam with a 'T' shaped cross-section is loaded with a distributed load as shown below. The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm. A y Parameter L a d 0 L B 777 Description Beam length T Width of the flange Height of the web Yield stress |←0 →| Value 250 80 75 250 y Units mm mm mm MPa You are tasked with ensuring the beam can withstand the applied loading. To do this you must: a) Calculate the centroid for the given cross-section. Your value of y should be measured from the bottom of the section. Determine an expression for Q (statical moment of area) for the given shape. The expression(s) for Q should be in terms of the variable, y, measured from the bottom of the section.
A cantilever beam with a 'T' shaped cross-section is loaded with a distributed load as shown below. The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm. A y Parameter L a d 0 L B 777 Description Beam length T Width of the flange Height of the web Yield stress |←0 →| Value 250 80 75 250 y Units mm mm mm MPa You are tasked with ensuring the beam can withstand the applied loading. To do this you must: a) Calculate the centroid for the given cross-section. Your value of y should be measured from the bottom of the section. Determine an expression for Q (statical moment of area) for the given shape. The expression(s) for Q should be in terms of the variable, y, measured from the bottom of the section.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A cantilever beam with a 'T' shaped cross-section is loaded with a distributed load as shown below.
The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm.
A
y
Parameter
L
a
d
0
L
B
777
Description
Beam length
T
Width of the flange
Height of the web
Yield stress
|←0 →|
Value
250
80
75
250
y
Units
mm
mm
mm
MPa
You are tasked with ensuring the beam can withstand the applied loading. To do this you must:
a) Calculate the centroid for the given cross-section. Your value of y should be measured from
the bottom of the section. Determine an expression for Q (statical moment of area) for the
given shape. The expression(s) for Q should be in terms of the variable, y, measured from the
bottom of the section.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Transcribed Image Text:Create a 2D contour plot to allow the performance of the structure to be assessed against the
maximum distortion energy (von Mises) criteria. Comment on the results.
You can do this by plotting a contour of the von-mises stress and then normalising the result
against the yield stress. This will produce a contour plot of the failure index. This index
represents the ratio of the von-mises stress to the yield stress of the material.
Solution
by Bartleby ExpertFollow-up Question
Transcribed Image Text:Create a two-dimensional contour plot of the bending and transverse shear stresses over the
length and height of the beam (xy plane). You can use your results above to validate your
approach.
Note: it is more convenient to perform these calculations in a program such as Matlab or
Python. Please make sure that you upload your script (.m or .py files) to the unit site (along
with your assignment).
Solution
by Bartleby ExpertFollow-up Question
Transcribed Image Text:Create a graph of the shear and bending stresses at the fixed support (B) over the cross-
section. The stresses should be plotted as a function of y, measured from the bottom of the
section.
NOTE: this is a simplified calculation and you do not need to account for the additional stress
caused by the sharp corner (stress concentration). You should calculate the stresses using the
bending and shear formulas.
Solution
by Bartleby ExpertKnowledge 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