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 ishaving 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 beforeshearing 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 cuttingshear force? Explain the reason for your answer. The magnitude of the Shear force applied by the machine is calculated as:Fo, =bxdF= 220 MPa x 3000 mm x 5 mm= 3300000 N(a)Atthe most critical point, the state of stress is shown below:220MPa220MPaStep 3(b)Theminimum Shear force required to cut the sheet metal according to Trescacriteria is:o,-220 MPa = 2o =222 MPaO, =0.5x 222 MPaV-111 MPax3000 mm x5 mm= 1665000 NStep 4(c)Theminimum Shear force required to cut the sheet metal according to VonMises criteria is:-10.FOSEo-vo, = 2x 200000 MPa220 MPa -(0.3xo,) = 400000O; =-1332600 MPa Upper blade(punch)Shear force, VSheet metalSheet metal cutting machineLower blade(die)Fig. 1

Data we have width b = 3m . thickness d = 5mm 6 y =22OMPa . E=200GPa. v = 0.3 ⇒ Maximum…

Answered: = 0.3. | bartleby

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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.

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

Upper blade
(punch)
Shear force, V
Sheet metal
Sheet metal cutting machine
Lower blade
(die)
Fig. 1

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