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...



 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:<br>F<br>o, =<br>bxd<br>F= 220 MPa x 3000 mm x 5 mm<br>= 3300000 N<br>(a)<br>Atthe most critical point, the state of stress is shown below:<br>220<br>MPa<br>220<br>MPa<br>Step 3<br>(b)<br>Theminimum Shear force required to cut the sheet metal according to Tresca<br>criteria is:<br>o,-220 MPa = 2<br>o =222 MPa<br>O, =0.5x 222 MPa<br>V-111 MPax3000 mm x5 mm<br>= 1665000 N<br>Step 4<br>(c)<br>Theminimum Shear force required to cut the sheet metal according to Von<br>Mises criteria is:<br>-10.<br>FOS<br>E<br>o-vo, = 2x 200000 MPa<br>220 MPa -(0.3xo,) = 400000<br>O; =-1332600 MPa<br>

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

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

Jun 11, 2022
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