Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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A sheet metal cutting machine cuts the sheet metal via shear force, V as shown in Fig. 1. The crosssection of sheet metal is rectangular with width, b = 3m and thickness, d = 5mm. The sheet metal is
having yield strength σy = 220 MPa; Young’s modules, E = 200 GPa and Poisson’s ratio, ν = 0.3.
Conduct the following analyses at the state of stress when maximum stress reaches σy and before
shearing commences.
(Need answer Question c) & d)
c. Sketch the YIELD LOCI for both cases above.
d. As a sheet-metal engineer, which failure criterion in (b) will you use to determine the cutting
shear force? Explain the reason for your answer.
Transcribed Image Text:The magnitude of the Shear force applied by the machine is calculated as:
F
o, =
bxd
F= 220 MPa x 3000 mm x 5 mm
= 3300000 N
(a)
Atthe most critical point, the state of stress is shown below:
220
MPa
220
MPa
Step 3
(b)
Theminimum Shear force required to cut the sheet metal according to Tresca
criteria is:
o,-220 MPa = 2
o =222 MPa
O, =0.5x 222 MPa
V-111 MPax3000 mm x5 mm
= 1665000 N
Step 4
(c)
Theminimum Shear force required to cut the sheet metal according to Von
Mises criteria is:
-10.
FOS
E
o-vo, = 2x 200000 MPa
220 MPa -(0.3xo,) = 400000
O; =-1332600 MPa
Transcribed Image Text:Upper blade
(punch)
Shear force, V
Sheet metal
Sheet metal cutting machine
Lower blade
(die)
Fig. 1
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