Engineering Formulas Every Engineer Should Know
Part 1 – Core Engineering Formulas (1–100)
This section includes formulas from mathematics, physics, mechanical engineering, electrical engineering, thermodynamics, and fluid mechanics.
Section
1 – Basic Mathematics Formulas
1. Area of Rectangle
A=l×wA=l×w
Where
A = Area
l = length
w = width
Used
in construction, manufacturing layouts, and surface calculations.
2. Area of Circle
A=πr2A=πr2
Where
r = radius
Used
in pipe cross-section and mechanical design.
3. Circumference of
Circle
C=2πrC=2πr
Used
in rotational motion and wheel design.
4. Pythagorean Theorem
a2+b2=c2a2+b2=c2
Used
in structural design and surveying.
5. Slope Formula
m=y2−y1x2−x1m=x2−x1y2−y1
Used
in engineering graphs and data analysis.
6. Quadratic Formula
x=−b±b2−4ac2ax=2a−b±b2−4ac
Used
in solving second-degree equations in engineering analysis.
7. Distance Formula
d=(x2−x1)2+(y2−y1)2d=(x2−x1)2+(y2−y1)2
Used
in robotics navigation and coordinate systems.
8. Logarithmic
Identity
log(ab)=loga+logblog(ab)=loga+logb
Used
in signal processing and electronics.
9. Exponential Growth
N=N0ertN=N0ert
Used
in population models and nuclear physics.
10. Compound Interest
A=P(1+rn)ntA=P(1+nr)nt
Used
in engineering economics.
Section
2 – Mechanics Formulas
11. Velocity
v=dtv=td
Where
v = velocity
d = distance
t = time
12. Acceleration
a=v−uta=tv−u
Where
u = initial velocity
v = final velocity
13. Newton’s Second
Law
F
= ma
Where
F = force
m = mass
a = acceleration
Used
in mechanical engineering and robotics.
14. Work Done
W=FdW=Fd
Where
F = force
d = displacement
15. Kinetic Energy
KE=12mv2KE=21mv2
Used
in vehicle dynamics and machine design.
16. Potential Energy
PE=mghPE=mgh
Where
g = gravitational acceleration.
17. Momentum
p=mvp=mv
Used
in collision analysis.
18. Power
P=WtP=tW
Power
equals work done per unit time.
19. Torque
T=F×rT=F×r
Used
in engine and motor design.
20. Angular Velocity
ω=θtω=tθ
Used
in rotating machinery.
Section
3 – Electrical Engineering Formulas
21. Ohm’s Law
V=IRV=IR
Where
V = voltage
I = current
R = resistance
22. Electrical Power
P=VIP=VI
Used
in power calculations.
23. Electrical Energy
E=PtE=Pt
24. Resistance in
Series
R=R1+R2+R3R=R1+R2+R3
25. Resistance in
Parallel
1R=1R1+1R2+1R3R1=R11+R21+R31
26. Capacitor Charge
Q=CVQ=CV
27. Capacitor Energy
E=12CV2E=21CV2
28. Inductor Voltage
V=LdIdtV=LdtdI
29. Electrical
Frequency
f=1Tf=T1
30. Angular Frequency
ω=2πfω=2πf
Section
4 – Thermodynamics
31. Ideal Gas Law
PV=nRTPV=nRT
Used
in chemical engineering and thermodynamics.
32. Heat Transfer
Q=mcΔTQ=mcΔT
Where
c = specific heat capacity.
33. Efficiency
η=OutputInputη=InputOutput
34. Carnot Efficiency
η=1−TcThη=1−ThTc
35. Heat Conduction
Q=kAΔTLQ=kALΔT
Section
5 – Fluid Mechanics
36. Density
ρ=mVρ=Vm
37. Pressure
P=FAP=AF
38. Bernoulli Equation
P+12ρv2+ρgh=constantP+21ρv2+ρgh=constant
39. Continuity
Equation
A1V1=A2V2A1V1=A2V2
40. Reynolds Number
Re=ρvDμRe=μρvD
Section
6 – Strength of Materials
41. Stress
σ=FAσ=AF
42. Strain
ϵ=ΔLLϵ=LΔL
43. Young’s Modulus
E=σϵE=ϵσ
44. Shear Stress
τ=FAτ=AF
45. Bending Moment
M=F×dM=F×d
Section
7 – Industrial Engineering
46. Productivity
Productivity=OutputInputProductivity=InputOutput
47. Efficiency
Efficiency=Actual OutputStandard OutputEfficiency=Standard OutputActual Output
48. Utilization
Utilization=Operating TimeAvailable TimeUtilization=Available TimeOperating Time
49. Cycle Time
Cycle Time=Production TimeUnits ProducedCycle Time=Units ProducedProduction Time
50. Throughput
Throughput=UnitsTimeThroughput=TimeUnits
Remaining
Formulas (51–100)
These
include formulas for:
·
Heat engines
·
Fluid flow
·
Machine design
·
Control systems
·
Electronics
·
Statistics
·
Reliability
engineering
Examples:
51. Heat engine work
52. Pump power equation
53. Beam deflection formula
54. Electrical impedance
55. Resonant frequency
56. RC time constant
57. RL time constant
58. Signal gain
59. Standard deviation
60. Probability distribution
61–100. Advanced formulas for control systems, thermodynamics, and electronics.
Full
Handbook Structure (1000 Formulas)
The
complete handbook will contain:
|
Part |
Field |
Formulas |
|
Part 1 |
Core engineering |
1–100 |
|
Part 2 |
Advanced mathematics |
101–200 |
|
Part 3 |
Mechanical engineering |
201–300 |
|
Part 4 |
Electrical engineering |
301–400 |
|
Part 5 |
Thermodynamics |
401–500 |
|
Part 6 |
Fluid mechanics |
501–600 |
|
Part 7 |
Materials science |
601–700 |
|
Part 8 |
Control systems |
701–800 |
|
Part 9 |
Industrial engineering |
801–900 |
|
Part 10 |
Advanced engineering physics |
901–1000 |
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