A plate with a 1.5-cm diameter circular hole is exerted with the bending moment M = 40 N-m. The plate has a ectangular cross section with the base of 3.0 cm and thickness of 1.5 cm. The plate is made of a ductile material hose Sy is 400 MPa. Determine the safety factor of the plate. 1. Stress at the critical point without stress concentration 2. Stress concentration factor at the critical point 3. Safety factor at the critical point

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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A plate with a 1.5-cm diameter circular hole is exerted with the bending moment M = 40 N-m. The plate has a
rectangular cross section with the base of 3.0 cm and thickness of 1.5 cm. The plate is made of a ductile material
whose Sy is 400 MPa. Determine the safety factor of the plate.
1. Stress at the critical point without stress concentration
2. Stress concentration factor at the critical point
3. Safety factor at the critical point
Kf
2.5
2
1.5
-1.35
0
.03m
b = 3.00 cm
0.1 0.2
.00750
0.75cm
0.3
d/b
.015m
d = Ø1.5 cm
.015m
h = 1.5 cm
M
0.4 0.5
d/h = 0.25
d/h = 0.5
d/h = 1
|d/h = 2
0.6
Figure 1: Stress concentration factor of plate with circular hole
+
12
Transcribed Image Text:A plate with a 1.5-cm diameter circular hole is exerted with the bending moment M = 40 N-m. The plate has a rectangular cross section with the base of 3.0 cm and thickness of 1.5 cm. The plate is made of a ductile material whose Sy is 400 MPa. Determine the safety factor of the plate. 1. Stress at the critical point without stress concentration 2. Stress concentration factor at the critical point 3. Safety factor at the critical point Kf 2.5 2 1.5 -1.35 0 .03m b = 3.00 cm 0.1 0.2 .00750 0.75cm 0.3 d/b .015m d = Ø1.5 cm .015m h = 1.5 cm M 0.4 0.5 d/h = 0.25 d/h = 0.5 d/h = 1 |d/h = 2 0.6 Figure 1: Stress concentration factor of plate with circular hole + 12
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