wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In shear cutting operation, a sheet of 5 mm thickness is cut along a length of 200 mm. The cutting blade is 400 mm long (see figure) and zero-shear S=0 is provided on the edge. The ultimate shear strength of the sheet is 100 MPa and penetration to thickness ratio is 0.2. Neglect friction



Assuming force vs displacement curve to be rectangular, the work done (in J) is

A
100
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
200
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
250
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
300
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 100
Maximum force: F=L(t).τ
L = Perimeter of cut, t = Thickness of cut, P = Penetration

F=200×(5)×100=100kN
Work done=F×Kt
=100×103×5×103×0.2
=100Nm=100J

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Shearing Operation
PRODUCTION
Watch in App
Join BYJU'S Learning Program
CrossIcon