Part B - Calculating the moment about AB using the position vector AC Using the position vector from A to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. ►View Available Hint(s) MAB =[ Submit VG ΑΣΦ ↑ MAB =[ vec B 4 Part C- Calculating the moment about AB using the position vector BC VE ΑΣΦ $1 vec ? Using the position vector from B to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. View Available Hint(s) wwwww. i, j, k N m ? i, j, k] N.m
Part B - Calculating the moment about AB using the position vector AC Using the position vector from A to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. ►View Available Hint(s) MAB =[ Submit VG ΑΣΦ ↑ MAB =[ vec B 4 Part C- Calculating the moment about AB using the position vector BC VE ΑΣΦ $1 vec ? Using the position vector from B to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. View Available Hint(s) wwwww. i, j, k N m ? i, j, k] N.m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![The magnitude of a moment about a line segment
connecting points P and Q due to a force F
applied at point R (with R not on the line through P
and Q) can be calculated using the scalar triple
product,
MPQ
UPQ rx F,
where r is a position vector from any point on the
line through P and Q to R and upo is the unit
vector in the direction of line segment PQ. The unit
vector upq is then multiplied by this magnitude to
find the vector representation of the moment.
Figure
-
As shown in the figure, the member is anchored at
A and séction AB lies in the x-y plane. The
dimensions are x₁ = 1.5 m, y₁ = 1.7 m, and 2₁ =
1.6 m. The force applied at point C is
F = [-150 i+ 135j + 190 k] N.
(Figure 1)
Vi
21
B
1 of 1
>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F547803a6-40ba-407b-9edd-fe79ffc19960%2F5227a6a6-b0e9-4761-884b-d28987bc5264%2Fg9j586g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The magnitude of a moment about a line segment
connecting points P and Q due to a force F
applied at point R (with R not on the line through P
and Q) can be calculated using the scalar triple
product,
MPQ
UPQ rx F,
where r is a position vector from any point on the
line through P and Q to R and upo is the unit
vector in the direction of line segment PQ. The unit
vector upq is then multiplied by this magnitude to
find the vector representation of the moment.
Figure
-
As shown in the figure, the member is anchored at
A and séction AB lies in the x-y plane. The
dimensions are x₁ = 1.5 m, y₁ = 1.7 m, and 2₁ =
1.6 m. The force applied at point C is
F = [-150 i+ 135j + 190 k] N.
(Figure 1)
Vi
21
B
1 of 1
>
Transcribed Image Text:Part B-Calculating the moment about AB using the position vector AC
Using the position vector from A to C, calculate the moment about segment AB due to force F.
Express the individual components to three significant figures, if necessary, separated by commas.
View Available Hint(s)
MAB =[
Submit
10 ΑΣΦ
↑
MAB =[
vec
4
Part C- Calculating the moment about AB using the position vector BC
?
Using the position vector from B to C, calculate the moment about segment AB due to force F.
Express the individual components to three significant figures, if necessary, separated by commas.
► View Available Hint(s)
VE ΑΣΦ $1 vec
→
i, j, k N.m
?
i, j, k N-m
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 6 steps with 1 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