Mechanical Engineering Exam > Mechanical Engineering Videos > Shear Strain in Metal Cutting with (GATE Previous Year Question), Mechanical Engineering, GATE
Shear Strain in Metal Cutting with (GATE Previous Year Question), Mechanical Engineering, GATE Video Lecture
FAQs on Shear Strain in Metal Cutting with (GATE Previous Year Question), Mechanical Engineering, GATE Video Lecture
| 1. What is shear strain in metal cutting? |  |
Ans. Shear strain in metal cutting refers to the deformation or strain that occurs in a material when it is subjected to shear forces during the cutting process. It is a measure of the change in shape or distortion experienced by the material due to the applied forces.
| 2. How is shear strain calculated in metal cutting? | |
Ans. Shear strain can be calculated using the formula: Shear strain = tan(ϕ), where ϕ is the angle of shear. In metal cutting, the shear angle can be determined using the relationships between cutting forces, chip thickness, and cutting speed.
| 3. What are the factors that affect shear strain in metal cutting? | |
Ans. Several factors can affect shear strain in metal cutting. These include the cutting speed, feed rate, rake angle of the tool, workpiece material properties, and the geometry of the cutting tool. Higher cutting speeds and feed rates, as well as larger rake angles, tend to increase shear strain.
| 4. Why is shear strain important in metal cutting? | |
Ans. Shear strain is important in metal cutting as it directly affects the chip formation process, cutting forces, and surface finish of the workpiece. Understanding and controlling shear strain is crucial for optimizing the cutting process and achieving desired machining outcomes.
| 5. How can shear strain be minimized in metal cutting? | |
Ans. Shear strain can be minimized in metal cutting by adjusting the cutting parameters such as cutting speed, feed rate, and tool geometry. Using appropriate lubrication and cooling methods can also help reduce shear strain. Additionally, selecting the right cutting tool material and coating can improve the tool's ability to withstand shear forces.
Text Transcript from Video
idea so this is a gel cotton and in this
video total you are going to learn about
shear strength in case of metal cutting
so yeah of course I will share with you
these formulas you require to solve
American problems basically this video
is for only numerical problems and in
this video I am going to share with you
a problem which has been asking get
related to this topic so first of all
let's go forward but formulas you
require to solve the problem right so
first formula is here what is the
formula let me share with you first of
all what is shear string okay you know
shear strength okay but here we are
talking about shear strain rate so this
even would be per second that's why
because it's talking about shear
extended so in the question it has been
asked find out shear is ended okay so
it's formula is B cos alpha cos Phi
minus alpha into p.m. what are these
things let me share with you first okay
so it is V V means cutting velocity or
speed may be some in some question it is
it has been asked it Isabella I am
cutting speed so don't get confused you
can use that here also to solve the
problem alpha is racking it and Phi is
shear angle three years plane angle is
also called and p.m. is mean thickness
okay so this is all about this points
but here which formula in the
examination you need to know to solve
the problem that is important they will
mix up with this one that means you have
to find out shear plane angle for
finding out shear plane angle we have
another formula that is tan Phi is equal
to R cos alpha 1 minus R sine alpha and
our use word chief thickness ratio okay
so I have shared already share what is
the thickness ratio what is alpha what
is fine but even then I am why I am
sharing with you because it is related
to this problem only this one okay so
this is all about in a formula part of
this videos or two and now we'll go with
question directly which question has
been as engaged probably because of that
you have landed on this page so let's go
for it
this is the question we got here now I
hope you can read this question right
yeah I got very good camera for this
there so I will not be a problem okay
just like it was creating problem my
fingers really must show this camera I
think this fantastic isn't it
okay so it's about it here my question
is in orthogonal metal cutting process
so what is orthogonal to D right are
given below G thickness ratio is this so
we have given let me use different
weapons R is equal to 0.4 uncut
thickness okay uncut thickness ratio G
thickness ratio uncut cheap thick uncut
thickness this is what me ratio okay no
problem
okay alpha is 10 cutting a speed V is
2.5 mean thickness is T M is equal to 25
10 to the power minus 6 meter because
micro is there and find out shear strain
rate we have to find out shear is tended
we have given all things now first of
all write down the formula for finding
out shear extended what is that shear
strain rate shear attended formula is
here V cos alpha cos Phi minus alpha in
to TM now find out what we have even
here these we have here V we have P we
have alpha but we do not have b15 so we
have to find out for first five to solve
the problem without finding Phi we
cannot solve the problem there so I have
shared with you that number I mean that
formula how to find out Phi from the I
mean from this from this numerical
problem and then we can put that value
Phi year then we can get the answer so
let us just write here two point five
check out all all you know volume 8
meter per second okay cause 10 okay
so cos Phi minus 10 into TM is 25 into
10 to the power minus 6 so once we will
hear the
value of Phi we can find out answer from
this question okay so that's about it
now we have to find out our task is to
find out the value of Phi so we know
that tan Phi is equal to R for alpha by
1 minus R sine alpha
ok all cos alpha by 1 minus alpha and
sine of okay so this is the formula what
is the value of R is 0.4 cos alpha is 10
1 minus R point for cost
sorry sine alpha is a sine alpha is 10
so sine 10 years now we have to solve
this equation so find for solving this
equation what we require a calculator
and indeed you are not going to get this
calculator so what you are going to get
online calculator so keep practicing
that where wise with this problem so
point for cos 10 divided by 1 minus 114
to sign them okay so we caught the
values here zero pointer 0.42 double
three it is 10 5 what happens we using a
hurting and we just put this value here
and you will get wrong answer don't do
this first of all we have to find out
Phi so 5v tan inverse of these four
point four two three three so just
shaped tan inverse answer is equal to
twenty two twenty two point nine four
degree Phi is equal to shear plane angle
is equal to twenty two point nine four
four okay four four - okay degree so you
can take twenty two twenty two point
nine four because after four we are in
day less value so yes okay we can edit
that now what we have to do we have to
find we have to use this value we have
to use this value here then what would
be the equation two point five cause ten
divided by cos twenty two point nine
four minus 10 into 25 into 10 to the
power minus 6
now after calculation we are going to
get the value right so calibration is
must so what we got here from beads we
got here twelve point nine four right so
two point five into four ten the divided
cause yeah cause 12.94 multiple twenty
five multiple ten to the power minus six
so what we got here
it's a lambda values you are getting but
it's okay
that is one zero one zero four six point
eight five zero okay now okay now you
can three in the answer we have we
having four answers are all options are
basically multiple of 10 to the power 5
so what I am exactly going to do I am
going to do divisions of 10 to the power
5 to these answers so what we go are
basically one point 0 1 0 4 into 10 to
the power 5 per second we are getting
answer after calculation now what next
you move very well we have to compare
with forgiven unsub so which one is the
right answer here T is the right answer
okay let's review again the question so
first of all to find out
she is stranded we have to know two
formulas that is what is the formula for
fine or shear strain rate as well as the
finding out formula how to find a
formula shear plane instance after
knowing the formula we have to go to the
problem and then we have to write both
the coming at least first formula that
is shear in standard after putting this
formula we will put all they lose what
we got from these numerical problems
after putting all the rules we have what
is and we have to face one problem that
is we have to find out shear plane steps
after this we have to use the formula
which I have share with you that is 10
Phi is equal to R cos alpha by 1 minus R
sine alpha then what we got after
putting all the lousier
we'll come to a point where we can do
mistake that is will get value here
we're just going to put this value here
and that would be big mistake of us
don't do this mistake because after even
knowing all things you are going to make
mistake that means you are losing your
opportunity don't do that so what you
have to do you have to become you don't
need to be in hurry come and keep your
concentration on the numerical problem
and things all our things which are
distracting you mind just keep those
things away from it's at least in that
day when you are examination then after
after this we'll have we have to find
out then invert this so always check
online that they're showing 10 inverse
or not after then put this value then
we'll get this value okay this one we
have to put in this equation then we
will get this equation now solve the
whole equation now one of the more TV I
would love to share with you here when
you are solving online then don't try to
solve all together just solve this one
small part if you are beginner then you
can solve together I hope that will help
you to get correct answer so this is all
about how to solve shear strain rate
problem and I hope you got some
information from this video and you have
enjoyed a total I hope so
thanks for watching see you soon in my
next video bye bye
video total you are going to learn about
shear strength in case of metal cutting
so yeah of course I will share with you
these formulas you require to solve
American problems basically this video
is for only numerical problems and in
this video I am going to share with you
a problem which has been asking get
related to this topic so first of all
let's go forward but formulas you
require to solve the problem right so
first formula is here what is the
formula let me share with you first of
all what is shear string okay you know
shear strength okay but here we are
talking about shear strain rate so this
even would be per second that's why
because it's talking about shear
extended so in the question it has been
asked find out shear is ended okay so
it's formula is B cos alpha cos Phi
minus alpha into p.m. what are these
things let me share with you first okay
so it is V V means cutting velocity or
speed may be some in some question it is
it has been asked it Isabella I am
cutting speed so don't get confused you
can use that here also to solve the
problem alpha is racking it and Phi is
shear angle three years plane angle is
also called and p.m. is mean thickness
okay so this is all about this points
but here which formula in the
examination you need to know to solve
the problem that is important they will
mix up with this one that means you have
to find out shear plane angle for
finding out shear plane angle we have
another formula that is tan Phi is equal
to R cos alpha 1 minus R sine alpha and
our use word chief thickness ratio okay
so I have shared already share what is
the thickness ratio what is alpha what
is fine but even then I am why I am
sharing with you because it is related
to this problem only this one okay so
this is all about in a formula part of
this videos or two and now we'll go with
question directly which question has
been as engaged probably because of that
you have landed on this page so let's go
for it
this is the question we got here now I
hope you can read this question right
yeah I got very good camera for this
there so I will not be a problem okay
just like it was creating problem my
fingers really must show this camera I
think this fantastic isn't it
okay so it's about it here my question
is in orthogonal metal cutting process
so what is orthogonal to D right are
given below G thickness ratio is this so
we have given let me use different
weapons R is equal to 0.4 uncut
thickness okay uncut thickness ratio G
thickness ratio uncut cheap thick uncut
thickness this is what me ratio okay no
problem
okay alpha is 10 cutting a speed V is
2.5 mean thickness is T M is equal to 25
10 to the power minus 6 meter because
micro is there and find out shear strain
rate we have to find out shear is tended
we have given all things now first of
all write down the formula for finding
out shear extended what is that shear
strain rate shear attended formula is
here V cos alpha cos Phi minus alpha in
to TM now find out what we have even
here these we have here V we have P we
have alpha but we do not have b15 so we
have to find out for first five to solve
the problem without finding Phi we
cannot solve the problem there so I have
shared with you that number I mean that
formula how to find out Phi from the I
mean from this from this numerical
problem and then we can put that value
Phi year then we can get the answer so
let us just write here two point five
check out all all you know volume 8
meter per second okay cause 10 okay
so cos Phi minus 10 into TM is 25 into
10 to the power minus 6 so once we will
hear the
value of Phi we can find out answer from
this question okay so that's about it
now we have to find out our task is to
find out the value of Phi so we know
that tan Phi is equal to R for alpha by
1 minus R sine alpha
ok all cos alpha by 1 minus alpha and
sine of okay so this is the formula what
is the value of R is 0.4 cos alpha is 10
1 minus R point for cost
sorry sine alpha is a sine alpha is 10
so sine 10 years now we have to solve
this equation so find for solving this
equation what we require a calculator
and indeed you are not going to get this
calculator so what you are going to get
online calculator so keep practicing
that where wise with this problem so
point for cos 10 divided by 1 minus 114
to sign them okay so we caught the
values here zero pointer 0.42 double
three it is 10 5 what happens we using a
hurting and we just put this value here
and you will get wrong answer don't do
this first of all we have to find out
Phi so 5v tan inverse of these four
point four two three three so just
shaped tan inverse answer is equal to
twenty two twenty two point nine four
degree Phi is equal to shear plane angle
is equal to twenty two point nine four
four okay four four - okay degree so you
can take twenty two twenty two point
nine four because after four we are in
day less value so yes okay we can edit
that now what we have to do we have to
find we have to use this value we have
to use this value here then what would
be the equation two point five cause ten
divided by cos twenty two point nine
four minus 10 into 25 into 10 to the
power minus 6
now after calculation we are going to
get the value right so calibration is
must so what we got here from beads we
got here twelve point nine four right so
two point five into four ten the divided
cause yeah cause 12.94 multiple twenty
five multiple ten to the power minus six
so what we got here
it's a lambda values you are getting but
it's okay
that is one zero one zero four six point
eight five zero okay now okay now you
can three in the answer we have we
having four answers are all options are
basically multiple of 10 to the power 5
so what I am exactly going to do I am
going to do divisions of 10 to the power
5 to these answers so what we go are
basically one point 0 1 0 4 into 10 to
the power 5 per second we are getting
answer after calculation now what next
you move very well we have to compare
with forgiven unsub so which one is the
right answer here T is the right answer
okay let's review again the question so
first of all to find out
she is stranded we have to know two
formulas that is what is the formula for
fine or shear strain rate as well as the
finding out formula how to find a
formula shear plane instance after
knowing the formula we have to go to the
problem and then we have to write both
the coming at least first formula that
is shear in standard after putting this
formula we will put all they lose what
we got from these numerical problems
after putting all the rules we have what
is and we have to face one problem that
is we have to find out shear plane steps
after this we have to use the formula
which I have share with you that is 10
Phi is equal to R cos alpha by 1 minus R
sine alpha then what we got after
putting all the lousier
we'll come to a point where we can do
mistake that is will get value here
we're just going to put this value here
and that would be big mistake of us
don't do this mistake because after even
knowing all things you are going to make
mistake that means you are losing your
opportunity don't do that so what you
have to do you have to become you don't
need to be in hurry come and keep your
concentration on the numerical problem
and things all our things which are
distracting you mind just keep those
things away from it's at least in that
day when you are examination then after
after this we'll have we have to find
out then invert this so always check
online that they're showing 10 inverse
or not after then put this value then
we'll get this value okay this one we
have to put in this equation then we
will get this equation now solve the
whole equation now one of the more TV I
would love to share with you here when
you are solving online then don't try to
solve all together just solve this one
small part if you are beginner then you
can solve together I hope that will help
you to get correct answer so this is all
about how to solve shear strain rate
problem and I hope you got some
information from this video and you have
enjoyed a total I hope so
thanks for watching see you soon in my
next video bye bye
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Nov 22, 2024 Last updated |
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