QUESTION 1 A punch shown in Figure 1 is used to make a hole in a metal plate with thickness h3. The punch assembly is made of a hollow circular shaft with a material having a yield stress of oy = 400 MPa and Young's modulus E = 96 GPa. Load P, is acting at the top F while load P2 is uniformly distributed around the cap plate at E. Given that P, = 200 kN, P2 = 100 kN, I, = 80 mm, I2 = 120 mm, h, = 300 mm, h2 = 300 mm and h3 = 50 mm. a) Determine the minimum required dimensions d, and d2 to the nearest mm under the application of maximum allowable stress. Apply a factor of safety F.S. = 2 against yielding. Given that t, = 10 mm and t2 = 8 mm. b) Based on the values of d, and d2 in (a), evaluate the average compressive stress at section FE and EA as well as punching shear stress through a circular surface through AC dan BD. Assume that t, = 12 mm and t2 = 10 mm. c) Suggest one material that can be punched and explain why. Also, suggest the maximum thickness that can punched for a 6061-T6 aluminium alloy plate.
QUESTION 1 A punch shown in Figure 1 is used to make a hole in a metal plate with thickness h3. The punch assembly is made of a hollow circular shaft with a material having a yield stress of oy = 400 MPa and Young's modulus E = 96 GPa. Load P, is acting at the top F while load P2 is uniformly distributed around the cap plate at E. Given that P, = 200 kN, P2 = 100 kN, I, = 80 mm, I2 = 120 mm, h, = 300 mm, h2 = 300 mm and h3 = 50 mm. a) Determine the minimum required dimensions d, and d2 to the nearest mm under the application of maximum allowable stress. Apply a factor of safety F.S. = 2 against yielding. Given that t, = 10 mm and t2 = 8 mm. b) Based on the values of d, and d2 in (a), evaluate the average compressive stress at section FE and EA as well as punching shear stress through a circular surface through AC dan BD. Assume that t, = 12 mm and t2 = 10 mm. c) Suggest one material that can be punched and explain why. Also, suggest the maximum thickness that can punched for a 6061-T6 aluminium alloy plate.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.4.1P: The assembly shown in the figure consists of a brass core (diameter d:= 0.25 in.) surrounded by a...
Related questions
Question
![P1
F
h1
P2
P2
E
t2
d2
h2
B
A
h3
D
C
12
Figure 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5eeebfdf-5a38-4a43-b397-4d5b4b952eba%2Fa921a2de-7f57-49d6-80b4-3a0cf6319007%2Fm7syzkq_processed.png&w=3840&q=75)
Transcribed Image Text:P1
F
h1
P2
P2
E
t2
d2
h2
B
A
h3
D
C
12
Figure 1
![QUESTION 1
A punch shown in Figure 1 is used to make a hole in a metal plate with thickness h3. The punch
assembly is made of a hollow circular shaft with a material having a yield stress of oy = 400 MPa
and Young's modulus E = 96 GPa. Load P, is acting at the top F while load P2 is uniformly
distributed around the cap plate at E. Given that P, = 200 kN, P2 = 100 kN, I, = 80 mm, /2 = 120
mm, h1 = 300 mm, h2 = 300 mm and h3 = 50 mm.
a) Determine the minimum required dimensions d, and d2 to the nearest mm under the
application of maximum allowable stress. Apply a factor of safety F.S. = 2 against yielding.
Given that t, = 10 mm and t2 = 8 mm.
b) Based on the values of d, and d2 in (a), evaluate the average compressive stress at section
FE and EA as well as punching shear stress through a circular surface through AC dan
BD. Assume that t, = 12 mm and t2 = 10 mm.
c) Suggest one material that can be punched and explain why. Also, suggest the maximum
thickness that can punched for a 6061-T6 aluminium alloy plate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5eeebfdf-5a38-4a43-b397-4d5b4b952eba%2Fa921a2de-7f57-49d6-80b4-3a0cf6319007%2Fkj8tjy7_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 1
A punch shown in Figure 1 is used to make a hole in a metal plate with thickness h3. The punch
assembly is made of a hollow circular shaft with a material having a yield stress of oy = 400 MPa
and Young's modulus E = 96 GPa. Load P, is acting at the top F while load P2 is uniformly
distributed around the cap plate at E. Given that P, = 200 kN, P2 = 100 kN, I, = 80 mm, /2 = 120
mm, h1 = 300 mm, h2 = 300 mm and h3 = 50 mm.
a) Determine the minimum required dimensions d, and d2 to the nearest mm under the
application of maximum allowable stress. Apply a factor of safety F.S. = 2 against yielding.
Given that t, = 10 mm and t2 = 8 mm.
b) Based on the values of d, and d2 in (a), evaluate the average compressive stress at section
FE and EA as well as punching shear stress through a circular surface through AC dan
BD. Assume that t, = 12 mm and t2 = 10 mm.
c) Suggest one material that can be punched and explain why. Also, suggest the maximum
thickness that can punched for a 6061-T6 aluminium alloy plate.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 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
![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
![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