A rectangular bar is notched on two sides as shown in Fig. 5.9a. The dimensions of the bar are thickness t = 0.2 cm, D = 2 cm, d = 1.8 cm, h = 0.1 cm, and r = 0.15 cm. If an elastic load of 15 kN is applied along the axis of the bar, what is the maximum stress in the vicinity of the notches? If the yield strength of the material is 950 MPa, will the material yield near the notches under this load? 3.03.02.82.82.62.62.42.42.22.2k, 2.0-k, 2.0D/d = 1.51.81.8-D/d 1.3Did 1.25Did = 1,101.61.6D/d 5D/d 2Did 1.5Did= 1.20Did 1,10D/d 3D/d = 21.41.41.21.21.01.0.5 .6 7.4.5.3r/d.1rld(b)(a)2.6D/d - 1.52.43.0D/d = 2м40d oa2.22.62.0D/d-32.21.81.8D/d - 5Did=1.281.61.41.41.0.6Dd-1.10D/d = 1.5.1.2.3.4.51.2a/d = hole diam./diam. shaft(d)1.0.1.6.4.3rld(c)Figure 5.9 Selected stress-concentration factors:18 (a) axial loading of notched bar; (b) axial loading of bar withfillet; (c) bending of notched bar; (d) bending of shaft with transverse hole; (e) axial loading of bar with transversehole; (f) straight portion of shaft keyway in torsion. (From Metals Engineering; Design by American Society ofMechanical Engineers. Copyright © 1953 by the American Society of Mechanical Engineers. Used with permissionof McGraw-Hill Book Company.)4,3.- D/d=2Dd-3 D/d=42.1,6,D/d-s5.D/d 2bid-Did = 1.252.D/d 1,05.2.- Dia = 1.05

D = 2 cm t = 0.2 cm d = 1.8 cm h = 0.1 cm r = 0.15 cm σyt = 950 MPa P = 15 kN D/d = 1.1111 r/d =…

Answered: 3.0 3.0 2.8 2.8 2.6 2.6 2.4 2.4 2.2 2.2…

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

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Question

A rectangular bar is notched on two sides as shown in
Fig. 5.9a. The dimensions of the bar are thickness t = 0.2 cm,
D = 2 cm, d = 1.8 cm, h = 0.1 cm, and r = 0.15 cm. If an
elastic load of 15 kN is applied along the axis of the bar, what
is the maximum stress in the vicinity of the notches? If the
yield strength of the material is 950 MPa, will the material
yield near the notches under this load?

3.0
3.0
2.8
2.8
2.6
2.6
2.4
2.4
2.2
2.2
k, 2.0-
k, 2.0
D/d = 1.5
1.8
1.8
-D/d 1.3
Did 1.25
Did = 1,10
1.6
1.6
D/d 5
D/d 2
Did 1.5
Did= 1.20
Did 1,10
D/d 3
D/d = 2
1.4
1.4
1.2
1.2
1.0
1.0
.5 .6 7
.4
.5
.3
r/d
.1
rld
(b)
(a)
2.6
D/d - 1.5
2.4
3.0
D/d = 2
м40
d oa
2.2
2.6
2.0
D/d-3
2.2
1.8
1.8
D/d - 5
Did=1.28
1.6
1.4
1.4
1.0
.6
Dd-1.10
D/d = 1.5
.1
.2
.3
.4
.5
1.2
a/d = hole diam./diam. shaft
(d)
1.0
.1
.6
.4
.3
rld
(c)
Figure 5.9 Selected stress-concentration factors:18 (a) axial loading of notched bar; (b) axial loading of bar with
fillet; (c) bending of notched bar; (d) bending of shaft with transverse hole; (e) axial loading of bar with transverse
hole; (f) straight portion of shaft keyway in torsion. (From Metals Engineering; Design by American Society of
Mechanical Engineers. Copyright © 1953 by the American Society of Mechanical Engineers. Used with permission
of McGraw-Hill Book Company.)
4,
3.
- D/d=2
Dd-3 D/d=4
2.
1,
6,
D/d-s
5.
D/d 2
bid-
Did = 1.25
2.
D/d 1,05.
2.
- Dia = 1.05

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