How to Calculate and Solve for Width of Cut on Sheet Metal | Single Point Tools

 

The image above represents width of cut on sheet metal.

To compute for width of cut on sheet metal, two essential parameters are needed and these parameters are Restricted Orthogonal Cutting Angle (λ) and Depth of Cut (d).

The formula for calculating width of cut on sheet metal:

b = d / sinλ

Where:

b = Width of Cut on Sheet metal
λ = Restricted Orthogonal Cutting Angle
d = Depth of Cut

Let’s solve an example;
Find the width of cut on sheet metal when the restricted orthogonal cutting angle is 44 and the depth of cut is 11.

This implies that;

λ = Restricted Orthogonal Cutting Angle = 44
d = Depth of Cut = 11

 

 

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the uncut chips thickness.

To get the answer and workings of the uncut chips thickness using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Metal Forming Processes under Materials and Metallurgical

Now, Click on Single Point Tools under Metal Forming Processes

 

Now, Click on Uncut Chips Thickness under Single Point Tools

 

The screenshot below displays the page or activity to enter your values, to get the answer for the uncut chips thickness according to the respective parameters which is the

 

Now, enter the values appropriately and accordingly for the parameters as required by the

 

Finally, Click on Calculate

 

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the uncut chips thickness and presents the formula, workings and steps too.

How to Calculate and Solve for Uncut Chips Thickness | Single Point Tools

The image above represents uncut chips thickness.

To compute for uncut chips thickness, two essential parameters are needed and these parameters are Restricted Orthogonal Cutting Angle (λ) and Feed (f).

The formula for calculating uncut chips thickness:

t = f sinλ

Where:

t = Uncut Chip Thickness
λ = Restricted Orthogonal Cutting Angle
f = Feed

Let’s solve an example;
Find the uncut chips thickness when the restricted orthogonal cutting angle is 40 and the feed is 20.

This implies that;

λ = Restricted Orthogonal Cutting Angle = 40
f = Feed = 20

t = f sinλ
t = 20 x sin40°
t = 20 x 0.64
t = 12.85

Therefore, the uncut chips thickness is 12.85 m.

Calculating the Restricted Orthogonal Cutting Angle when the Uncut Chips Thickness and the Feed is Given.

sin λ = t / f

Where;

λ = Restricted Orthogonal Cutting Angle
t = Uncut Chip Thickness
f = Feed

Let’s solve an example;
Find the restricted orthogonal cutting angle when the uncut chips thickness is 32 and the feed is 12.

This implies that;

t = Uncut Chip Thickness = 32
f = Feed = 12

sin λ = t / f
sin λ = 32 / 12
sin λ = 2.67

Therefore, the restricted orthogonal cutting angle is 2.67.

Continue reading How to Calculate and Solve for Uncut Chips Thickness | Single Point Tools

How to Calculate and Solve for Shear Strain Rate | Shearing Processes

The image above represents shear strain rate.

To compute for shear strain rate, two essential parameters are needed and these parameters are Velocity of Shear Zone (vsand Thickness of Shear Zone (ts).

The formula for calculating shear strain rate:

S* = vs / ts

Where:

S* = Shear Strain Rate
vs = Velocity of Shear Zone
ts = Thickness of Shear Zone

Let’s solve an example;
Find the shear strain rate when the velocity of shear zone is 24 and the thickness of shear zone is 12.

This implies that;

vs = Velocity of Shear Zone = 24
ts = Thickness of Shear Zone = 12

S* = vs / ts
S* = 24 / 12
S* = 2

Therefore, the shear strain rate is 2 Hz.

Calculating the Velocity of Shear Zone when the Shear Strain Rate and the Thickness of Shear Zone is Given.

vs = S*x ts

Where;

vs = Velocity of Shear Zone
S* = Shear Strain Rate
ts = Thickness of Shear Zone

Let’s solve an example;
Find the velocity of shear zone when the shear strain rate is 10 and the thickness of shear zone is 14.

This implies that;

S* = Shear Strain Rate = 10
ts = Thickness of Shear Zone = 14

vs = S*x ts
vs = 10 x 14
vs = 140

Therefore, the velocity of shear zone is 140.

Continue reading How to Calculate and Solve for Shear Strain Rate | Shearing Processes

How to Calculate and Solve for Shear Strain | Shearing Processes

The image above represents shear strain.

To compute for shear strain, two essential parameters are needed and these parameters are Rake Angle (φ) and Shear Angle (α).

The formula for calculating for shear strain:

s = cotφ + tan(φ – α)

Where:

s = Shear Strain
φ = Rake Angle
α = Shear Angle

Let’s solve an example;
Find the shear strain when the rake angle is 12 and the shear angle is 10.

This implies that;

φ = Rake Angle = 12
α = Shear Angle = 10

s = cotφ + tan(φ – α)
s = cot12° + tan(12° – 10°)
s = 4.704 + tan(2°)
s = 4.704 + 0.0349
s = 4.739

Therefore, the shear strain is 4.739.

Continue reading How to Calculate and Solve for Shear Strain | Shearing Processes

How to Calculate and Solve for Shear Angle | Mechanics of Chip Formation

The image above represents shear angle.

To compute for shear angle, two essential parameters are needed and these parameters are Cutting Ratio (r) and Rake Angle (α).

The formula for calculating for shear angle:

φ = tan-1[rcosα / 1 – rsinα]

Where:

φ = Shear Angle
r = Cutting Ratio
α = Rake Angle

Let’s solve an example;
Find the shear angle when the cutting ratio is 24 and the rake angle is 8.

This implies that;

r = Cutting Ratio = 24
α = Rake Angle = 8

φ = tan-1[rcosα / 1 – rsinα]
φ = tan-1[24 x cos8° / 1 – 24 x sin8°]
φ = tan-1[24 x 0.99 / 1 – 24 x 0.139]
φ = tan-1[23.766 / 1 – 3.34]
φ = tan-1[23.766 / -2.34]
φ = tan-1[-10.155]
φ = -84.37

Therefore, the  shear angle is -84.37°.

Continue reading How to Calculate and Solve for Shear Angle | Mechanics of Chip Formation

How to Calculate and Solve for Chip Reduction Factor | Mechanics of Chip Formation

The image above represents chip reduction factor.

To compute for chip reduction factor, one essential parameter is needed and this parameter is cutting ratio (r).

The compute for chip reduction factor:

ζ = 1 / r

Where:

ζ = Chip Reduction Factor
r = Cutting Ratio

Let’s solve an example;
Find the chip reduction factor when the cutting ratio is 30.

This implies that;

r = Cutting Ratio = 30

ζ = 1 / r
ζ = 1 / 30
ζ = 0.033

Therefore, the chip reduction factor is 0.033.

Continue reading How to Calculate and Solve for Chip Reduction Factor | Mechanics of Chip Formation

How to Calculate and Solve for Cutting Ratio I Mechanics of Chips Formation

The image above represents cutting ratio.

To compute for cutting ratio, two essential parameters are needed and these parameters are Shear Angle (φ) and Chip Velocity (α).

The formula for calculating cutting ratio:

r = sinφ / cos(φ – α)

Where:

r = Cutting Ratio
φ = Shear Angle
α = Rake Angle

Let’s solve an example;
Find the cutting ratio when the shear angle is 24 and the rake angle is 10.

This implies that;

φ = Shear Angle = 24
α = Rake Angle = 10

r = sinφ / cos(φ – α)
r = sin24° / cos(24° – 10°)
r = sin24° / cos(14°)
r = 0.406 / 0.970
r = 0.419

Therefore, the cutting ratio is 0.419.

Continue reading How to Calculate and Solve for Cutting Ratio I Mechanics of Chips Formation

How to Calculate and Solve for Cutting Ratio | Mechanics of Chips Formation

The image above represents cutting ratio.

To compute for cutting ratio, two essential parameters are needed and these parameters are needed and these parameters are Work Press Velocity (v) and Chip Velocity (vc).

The formula for calculating cutting ratio:

r = vc / v

Where:

r = Cutting Ratio
v = Work Press Velocity
vc = Chip Velocity

Let’s solve an example;
Find the cutting ratio when the work press velocity is 7 and the chip velocity is 42.

This implies that;

v = Work Press Velocity = 7
vc = Chip Velocity = 42

r = vc / v
r = 42 / 7
r = 6

Therefore, the cutting ratio is 6.

Calculating for Work Press Velocity when the Cutting Ratio and the Chip Velocity is Given.

v = r x vc

Where;

v = Work Press Velocity
r = Cutting Ratio
vc = Chip Velocity

Let’s solve an example;
Find the work press velocity when the cutting ratio is 20 and the chip velocity is 8.

This implies that;

r = Cutting Ratio = 20
vc = Chip Velocity = 8

v = r x vc
v = 20 x 8
v = 160

Therefore, the work press velocity is 160.

Continue reading How to Calculate and Solve for Cutting Ratio | Mechanics of Chips Formation

How to Calculate and Solve for Cutting Ratio / Mechanics of Chips Formation

This image above represents cutting ratio.

To compute for cutting ratio, two essential parameters are needed and these parameters are Uncut Chip Thickness (t) and Chip Thickness after Cut (tc).

The formula for calculating cutting ratio:

r = t / tc

Where:

r = Cutting Ratio
t = Uncut Chip Thickness
tc = Chip Thickness after Cut

Let’s solve an example;
Find the cutting ratio when the uncut chip thickness is 20 and the chip thickness after cut is 2.

This implies that;

t = Uncut Chip Thickness = 20
tc = Chip Thickness after Cut = 2

r = t / tc
r = 20 / 2
r = 10

Therefore, the cutting ratio is 10.

Calculating for Uncut Chip Thickness when the Cutting Ratio and the Chip Thickness after Cut is Given.

t = r x tc

Where;

t = Uncut Chip Thickness
r = Cutting Ratio
tc = Chip Thickness

Let’s solve an example;
Find the Uncut chip thickness when the cutting ratio is 10 and the chip thickness is 5.

This implies that;

r = Cutting Ratio = 10
tc = Chip Thickness = 5

t = r x tc
t = 10 x 5
t = 50

Therefore, the uncut chip thickness is 50.

Continue reading How to Calculate and Solve for Cutting Ratio / Mechanics of Chips Formation

How to Calculate and Solve for Relative Apparent Viscosity (for Concentrated suspension) | Rheology

The image above represents relative apparent viscosity (for concentrated suspension).

To compute for relative apparent viscosity (for concentrated suspension), three essential parameters are needed and these parameters are Intrinsic Viscosity (ηi), Solid Landing (φ) and Maximum Solid Landing (φm).

The formula for calculating relative apparent viscosity (for concentrated suspension):

ηra = (1 – φ / φm)-(ηim

Where:

ηra = Relative Apparent Viscosity
ηi = Intrinsic Viscosity
φ = Solid Landing
φm = Maximum Solid Landing

Let’s solve an example;
Find the relative apparent viscosity when the intrinsic viscosity is 20, the solid landing is 32 and the maximum solid landing is 12.

This implies that;

ηi = Intrinsic Viscosity = 20
φ = Solid Landing = 32
φm = Maximum Solid Landing = 12

ηra = (1 – φ / φm)-(ηim
ηra = (1 – 32 / 12)-(20) x 12
ηra = (1 – 2.66)-240
ηra = (-1.66)-240
ηra = 5.705e-54

Therefore, the relative apparent viscosity (for concentrated suspension) is 5.705e-54.

Continue reading How to Calculate and Solve for Relative Apparent Viscosity (for Concentrated suspension) | Rheology