# Engineering Formula

/Engineering Formula
Engineering Formula 2018-01-30T15:01:40+00:00

## 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

## Maximum Deflection of Beam with Load at Center

### Formula:

δ = (F * L3) / (E * I * 48)

Where,
δ = Maximum Deflection
E = Modulus of Elasticity
L = Length of Beam
I = Moment of Inertia

### Formula:

Where,
Kn max = Maximum minor diameter of internal thread
Es min = Minimum pitch diameter of external thread
n = Number of threads per inch

## Shear Area of Internal Screw Thread

### Formula:

Where,
En max = Maximum pitch diameter of internal thread.
Ds min = Minimum major diameter of external thread.
n = Number of threads per inch

## 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.

## 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

## Turning Surface Roughness

### Formula:

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

Where,
Ra = Turning Surface Roughness
IPR = Cutting Feed (IPR)

## 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

## Beam Deflection of Solid Round

### Formula:

MI for Solid Round = (PI * Diameter4) / 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

## 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

## 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

## 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))

## Push / Pull Hydraulic Cylinder

### Formula:

push=sin(angle)*PSI*3.1415*b2/4 lbs.

pull=sin(angle)*PSI*3.1415*(b2-d2)/4 lbs.

## Square Tube

### Formula:

Inertia = (a4 – b4) / 12

Modulus = (a4 – b4) / 6 * a

Radius = ((a2 + b2) / 12)1/2

Area = a2 – b2

## 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,

## 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,

## Lathe Turning Time

### Formula:

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

## Discrete Fourier Transform

### DFT Formula:

N-1
X(k) = ∑ x(n) e -j2πnk / N
n=0

Where
n – nth value series
k – iterative value
N – number of period

## Ultimate Tensile Stress

### DFT Formula:

T = F / A

Where,
T = Ultimate Tensile Stress
F = Force
A = Cross Sectional Area

## Mohrs Circle

### Formula:

C = σx + σy / 2
σ1 = ((σx + σy) / 2) + √(((σx – σy) / 2)2 + τxy2)
σ2 = ((σx + σy) / 2) – √(((σx – σy) / 2)2 + τxy2)
τmax = √(((σx – σy) / 2)2 + τxy2)
σVM = √((σx2 + σy2) – (σx * σy) + (3 * τxy2))
τyx = – τxy

Where,
C = Mean Stress
σ1 = Principal Stress I
σ2 = Principal Stress II
τmax = Maximum Shear Stress
σVM = Von Mises Stress
τyx = Shear Stress

## Angle Iron Deflection

### Formula:

Support at both ends:
d = (w × L3) / (48 × E × I)
Fixed at both ends:
d = (w × L3) / (192 × E × I)

Where,
d = Deflection
L= Length of Beam
E = Modulus of Elasticity of the Iron(Steel)
I = Moment of Inertia of the ‘L’ Cross Section of Beam

## Square Tubing Deflection

### Formula:

Hollow Square Tube Deflection = (f x l x l x l) / (t x y x (((s – k4)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

## Percent of Rejection

### Formula:

r = ((f – p) / f) × 100

Where,
r = Salt Rejection
f = Total Dissolved Solids Feeds
p = Total Dissolved Solids Product

## Salt Passage Reverse Osmosis

### Formula:

s = (p / f) × 100

Where,
s = Salt Passage
p = Total Dissolved Solids Product
f = Total Dissolved Solids Feed

## Defects Per Unit

### Formula:

u = (o / i)

Where,
u = Defects Per Unit
o = Number of Defects Observed
i = Number of Units Inspected

## 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

## Defect Rate

### Formula:

r = (p / o) × 100

Where,
r = Defect rate
p = Defective products
o = Total observed products