A plate is fastened to a fixed member by four 20-mm-diameter rivets arranged as shown in Fig. P-333. Compute the maximum and minimum shearing stress developed
A plate is fastened to a fixed member by four 20-mm-diameter rivets arranged as shown in Fig. P-333. Compute the maximum and minimum shearing stress developed
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.8P
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A plate is fastened to a fixed member by four 20-mm-diameter rivets arranged as shown in Fig. P-333.
Compute the maximum and minimum shearing stress developed.
![radial distance p from the centroid of the rivet group.
2_53032313900897..
Solution 332
The shearing stress on each rivet is P/A
T = Tp/J
Where:
T = PRn
p= R
J = EAp? = AR'n
%3D
PRn(R)
T =
AR?n
T=
- ok!
A
This shows that 7 = Tp/J can be used to find the shearing stress at the center of any rivet.
Solution to Problem 333 | Flanged bolt couplings
A plate is fastened to a fixed member by four 20-mm-diameter rivets arranged as shown in Fig. P-333.
Compute the maximum and minimum shearing stress developed.
14 kN
mm
mm
14 kN
Figure P-333
Solution 333
Tp
T =
120
40 40.
120
14 kN
14 kN
Where:
T = 14(1000)(120) = 1 680 000N . mm
J = EAp? = {#(20)² [ 2(40²) + 2(120²) ]
J = 3 200 000 mm
m shearing stress (p = 120 mm):
1 680 000(120)
3 200 000
Tmax = 20.05 MPa answer
Minimum shes ri n stress (p = 40 mm):
1 680 000(40)
Tuin =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffca03207-cd5c-44a6-90d9-f3673234938a%2Fff40bbc7-f51b-4f8e-941f-aa571467b121%2Floj63cc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:radial distance p from the centroid of the rivet group.
2_53032313900897..
Solution 332
The shearing stress on each rivet is P/A
T = Tp/J
Where:
T = PRn
p= R
J = EAp? = AR'n
%3D
PRn(R)
T =
AR?n
T=
- ok!
A
This shows that 7 = Tp/J can be used to find the shearing stress at the center of any rivet.
Solution to Problem 333 | Flanged bolt couplings
A plate is fastened to a fixed member by four 20-mm-diameter rivets arranged as shown in Fig. P-333.
Compute the maximum and minimum shearing stress developed.
14 kN
mm
mm
14 kN
Figure P-333
Solution 333
Tp
T =
120
40 40.
120
14 kN
14 kN
Where:
T = 14(1000)(120) = 1 680 000N . mm
J = EAp? = {#(20)² [ 2(40²) + 2(120²) ]
J = 3 200 000 mm
m shearing stress (p = 120 mm):
1 680 000(120)
3 200 000
Tmax = 20.05 MPa answer
Minimum shes ri n stress (p = 40 mm):
1 680 000(40)
Tuin =
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