## Beam Deflection of Solid Rectangular

### Formula:

**MI for Solid Rectangular Beam = ((Height3 x Width) / 12)**

**Deflection = (Length3 x Force) / (3 x E x MI)**

**Bending Stress = (Force x Length) / (MI / (0.5 x Height))**

Where,

MI = Moment of Inertia

E = Modulus of Elasticity in psi

**Related Calculator:**

## Maximum Deflection of Beam with Load at Center

### Formula:

**δ = (F * L3) / (E * I * 48)**

**Where,**

δ = Maximum Deflection

E = Modulus of Elasticity

F = Load

L = Length of Beam

I = Moment of Inertia

**Related Calculator:**

## Screw Thread Shear

### Formula:

Where,

Kn max = Maximum minor diameter of internal thread

Es min = Minimum pitch diameter of external thread

Le = Fastener thread engagement

n = Number of threads per inch

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## Shear Area of Internal Screw Thread

### Formula:

Where,

En max = Maximum pitch diameter of internal thread.

Ds min = Minimum major diameter of external thread.

Le = Fastener thread engagement

n = Number of threads per inch

**Related Calculator:**

## Lathe Cutting / Tapping Time

### Formula:

Where,

L is the length of the threaded portion,

D is the diameter of the tap used.

r.p.m is the revolution of job per minute.

**Related Calculator:**

## Beam Deflection of Hollow Rectangular

### Formula:

**Inside_width = Width – (2 * Wall Thickness)**

** Inside_height = Height – (2 * Wall Thickness)**

** MI for hollow rectangle beams = ((Width * Height3) – (Inside_width * Inside_height3)) / 12**

** Deflection = ((Length3 * Force / (3 * Material * MI)) * 0.0393701**

** Bending Stress = (Force * Length) / (MI / (0.5 * Height))**

**Where, **

MI = Moment of Inertia

E = Modules of Elasticity in psi

**Related Calculator:**

## Inverse Fourier Transform (IFT)

### Formula:

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## Turning Surface Roughness

### Formula:

**Ra = ((IPR2 / T * 24) * 1000000) * 1.11**

**Where,**

Ra = Turning Surface Roughness

IPR = Cutting Feed (IPR)

T = Tool Nose Radius

**Related Calculator:**

## Beams Deflection of Round Tube

### Formula:

**MI for Solid Round Beams = (pi * (OD4 – ID4)) / 64**

**Deflection = (length3 * force) / (3 * E * MI) **

**Bending Stress = (force * length) / (MI / (0.5 * height))**

Where,

MI = Moment of Inertia

E = Modulas of Elasticity in psi

**Related Calculator:**

## Beam Deflection of Solid Round

### Formula:

**MI for Solid Round = (PI * Diameter ^{4}) / 64**

**Deflection = (Length ^{3} * Force) / (3 * E * MI)**

**Bending Stress = (Force * Length) / (MI / (0.5 * Height))**

Where,

MI = Moment of Inertia

E = Modulas of Elasticity in psi

**Related Calculator:**

## Aviation Gasoline Fuel Consumption

### Formula:

**Aviation Gasoline weight per gallon(gw)=6.00Jet A weight per gallon(dw)=6.84Total Capacity (AvGas) Fuel Load Weight=(Fuel weight)* (gw)GPH=start fuel-end fuel**

Where,

MI = Moment of Inertia

E = Modulas of Elasticity in psi

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## Potential Flight Time

### Formula:

**Aviation Gasoline weight per gallon(gw)=6.00**

**Jet A weight per gallon(dw)=6.84**

**Total Capacity (AvGas) Fuel Load Weight=(Fuel weight)* (gw)**

**Calculated trip time=Gallons/GPH**

**Related Calculator:**

## Trip Fuel Consumption

### Formula:

**Aviation Gasoline weight per gallon(gw)=6.00**

**Jet A weight per gallon(dw)=6.84**

**Total Capacity (AvGas) Fuel Load Weight=(Fuel weight)* (gw)**

**Calculated Fuel Ramaining=(st)-((tt)*(gph))**

**Beginning Fuel Load=Fuel weight*TankCurrent fuel load=Fuel weight-calculated fuel;**

**Related Calculator:**

## Push / Pull Hydraulic Cylinder

### Formula:

**push=sin(angle)*PSI*3.1415*b ^{2}/4 lbs.**

**pull=sin(angle)*PSI*3.1415*(b ^{2}-d^{2})/4 lbs.**

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## Square Tube

### Formula:

**Inertia = (a ^{4} – b^{4}) / 12 **

**Modulus = (a ^{4} – b^{4}) / 6 * a **

**Radius = ((a ^{2} + b^{2}) / 12)^{1/2} **

**Area = a ^{2} – b^{2}**

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## Lathe Boring Time

### Formula:

**t=l/f * r**

Where,

t=Time for boring,

l=Length to be bored,

f=Feed per revolution,

r=revolution per minute,

**Related Calculator:**

## Lathe Drilling Time

### Formula:

**t=d/f*r**

Where,

t=Time for drilling,

d=depth of hole to be produced,

f=Feed per revolution,

r=revolution per minute,

**Related Calculator:**

## Lathe Turning Time

### Formula:

**Time for turning=Length of the job to be turned/Feed per rev * r.p.m**

**Related Calculator:**

## Discrete Fourier Transform

### DFT Formula:

N-1

X(k) = ∑ x(n) e^{ -j2πnk / N}

n=0

**Where**

n – n^{th} value series

k – iterative value

N – number of period

**Related Calculator:**

## Ultimate Tensile Stress

### DFT Formula:

**T = F / A**

**Where,**

T = Ultimate Tensile Stress

F = Force

A = Cross Sectional Area

**Related Calculator:**

## Mohrs Circle

### Formula:

**C = σ _{x} + σ_{y} / 2**

σ_{1} = ((σ_{x} + σ_{y}) / 2) + √(((σ_{x} – σ_{y}) / 2)^{2} + τ_{xy}^{2})

σ_{2} = ((σ_{x} + σ_{y}) / 2) – √(((σ_{x} – σ_{y}) / 2)^{2} + τ_{xy}^{2})

τ_{max} = √(((σ_{x} – σ_{y}) / 2)^{2} + τ_{xy}^{2})

σ_{VM} = √((σ_{x}^{2} + σ_{y}^{2}) – (σ_{x} * σ_{y}) + (3 * τ_{xy}^{2}))

τ_{yx} = – τ_{xy}

**Where,**

C = Mean Stress

σ_{1} = Principal Stress I

σ_{2} = Principal Stress II

τ_{max} = Maximum Shear Stress

σ_{VM} = Von Mises Stress

τ_{yx} = Shear Stress

**Related Calculator:**

## Angle Iron Deflection

### Formula:

**Support at both ends:**

d = (w × L^{3}) / (48 × E × I)

**Fixed at both ends:**

d = (w × L^{3}) / (192 × E × I)

**Where,**

d = Deflection

w = Load on Beam

L= Length of Beam

E = Modulus of Elasticity of the Iron(Steel)

I = Moment of Inertia of the ‘L’ Cross Section of Beam

**Related Calculator:**

## Square Tubing Deflection

### Formula:

**Hollow Square Tube Deflection = (f x l x l x l) / (t x y x (((s – k ^{4})^{4} /12) – ((s – (2 x k))^{4}/ 12)))**

**Where,**

F = Force

L = Length of Beam

T = Type of Ends

Y = Material Type

S = Tube Size

K = Decimal Gauge

**Related Calculator:**

## Percent of Rejection

### Formula:

**r = ((f – p) / f) × 100**

**Where,**

r = Salt Rejection

f = Total Dissolved Solids Feeds

p = Total Dissolved Solids Product

**Related Calculator:**

## Salt Passage Reverse Osmosis

### Formula:

**s = (p / f) × 100**

**Where,**

s = Salt Passage

p = Total Dissolved Solids Product

f = Total Dissolved Solids Feed

**Related Calculator:**

## Defects Per Unit

### Formula:

**u = (o / i)**

**Where,**

u = Defects Per Unit

o = Number of Defects Observed

i = Number of Units Inspected

**Related Calculator:**

## Defects Per Opportunity

### Formula:

**u = (o / i)**

**Where,**

u = Defects Per Opportunity

o = Number of Defects Observed on a Unit

i = Number of Opportunities on a Unit

**Related Calculator:**

## Defect Rate

### Formula:

**r = (p / o) × 100**

**Where,**

r = Defect rate

p = Defective products

o = Total observed products