A boy with a mass of 60 kg is standing on a wooden (E = 10 GPa) diving board as shown. The cross- section of the diving board is 40mm x 300mm. If the length AB is 0.6m and the length BC is 1.5m determine the maximum deflection in the diving board when the boy is standing at the end of the board. You may neglect the self-weight of the board in your analysis. You may appropriately reference previously completed work similar to this problem. Furthermore, you may use analysis software to check your final result, however all work leading up to the solution by method of double integration should be shown. A B
A boy with a mass of 60 kg is standing on a wooden (E = 10 GPa) diving board as shown. The cross- section of the diving board is 40mm x 300mm. If the length AB is 0.6m and the length BC is 1.5m determine the maximum deflection in the diving board when the boy is standing at the end of the board. You may neglect the self-weight of the board in your analysis. You may appropriately reference previously completed work similar to this problem. Furthermore, you may use analysis software to check your final result, however all work leading up to the solution by method of double integration should be shown. A B
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Here, we are supposed to find the deflection equations, we had done this problem with previous information the moment equations and the reaction forces (I have attached a picture of the solution), but now we have to expand on it...
![Boro do Norcemente ENGR 323-Mechanics II
HOMEWORK #6
Deew 13
A boy with a mass of 60 kg is standing on a diving board as shown below. The length from A-B is 0.6m
and the length from B-C is 1.5m. Determine equations for the shear force and bending moment in the board
as a function of the distance from point A. You may disregard self-weight of the diving board.
588 N
Problem 6.1
A
0
B
0.6m
A-B
Σ Fy=0= + Ay - Vx
1.5m
0 < x < 0.6m
1
V
for B-C
Σ Fy=0= + Ay + By - Vx
X
0.6 m < x < 2.1.
A
so
EM
A
↑
A
тву
so By = 2,058 N
Weight
By
Σ F₁₂ =0 = + Ay + 2,058 N -588 N
Any
(0.6m) -588N (2.1m) = 0
B
113
1,470 N now Mx = -1,470 x
St. Smy
Ay
By
so - 1470N+ 2,058 N-Vx
But for my My: -1,470x + 2,058 (X-0.6) + Mx
My = 588 x + C
plug bounds.
so V/x = 588N
so Ay = -1,470N
A
4
0.6
Mx = + 1, 470x-2,058x + 1,235 +C
My = -588x +1,235 Nm
B
(x -0.6)
X
one option
to do st
f
Cover Letter](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76aaab3c-5a4a-4ff8-814d-d2e8a1f30217%2F2882d706-2857-48a6-a036-684562b1e501%2Fgzfbxdg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Boro do Norcemente ENGR 323-Mechanics II
HOMEWORK #6
Deew 13
A boy with a mass of 60 kg is standing on a diving board as shown below. The length from A-B is 0.6m
and the length from B-C is 1.5m. Determine equations for the shear force and bending moment in the board
as a function of the distance from point A. You may disregard self-weight of the diving board.
588 N
Problem 6.1
A
0
B
0.6m
A-B
Σ Fy=0= + Ay - Vx
1.5m
0 < x < 0.6m
1
V
for B-C
Σ Fy=0= + Ay + By - Vx
X
0.6 m < x < 2.1.
A
so
EM
A
↑
A
тву
so By = 2,058 N
Weight
By
Σ F₁₂ =0 = + Ay + 2,058 N -588 N
Any
(0.6m) -588N (2.1m) = 0
B
113
1,470 N now Mx = -1,470 x
St. Smy
Ay
By
so - 1470N+ 2,058 N-Vx
But for my My: -1,470x + 2,058 (X-0.6) + Mx
My = 588 x + C
plug bounds.
so V/x = 588N
so Ay = -1,470N
A
4
0.6
Mx = + 1, 470x-2,058x + 1,235 +C
My = -588x +1,235 Nm
B
(x -0.6)
X
one option
to do st
f
Cover Letter
![Problem 10.1
A boy with a mass of 60 kg is standing on a wooden (E = 10 GPa) diving board as shown. The cross-
section of the diving board is 40mm x 300mm. If the length AB is 0.6m and the length BC is 1.5m
determine the maximum deflection in the diving board when the boy is standing at the end of the board.
You may neglect the self-weight of the board in your analysis.
You may appropriately reference previously completed work similar to this problem. Furthermore, you may
use analysis software to check your final result, however all work leading up to the solution by method of
double integration should be shown.
A
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76aaab3c-5a4a-4ff8-814d-d2e8a1f30217%2F2882d706-2857-48a6-a036-684562b1e501%2Fhmirrdl_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 10.1
A boy with a mass of 60 kg is standing on a wooden (E = 10 GPa) diving board as shown. The cross-
section of the diving board is 40mm x 300mm. If the length AB is 0.6m and the length BC is 1.5m
determine the maximum deflection in the diving board when the boy is standing at the end of the board.
You may neglect the self-weight of the board in your analysis.
You may appropriately reference previously completed work similar to this problem. Furthermore, you may
use analysis software to check your final result, however all work leading up to the solution by method of
double integration should be shown.
A
B
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1 Given
The length AB is
The length BC is
The E of the wooden board is
The cross-section of the diving board is
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY