Engineering/Mechanical Engineering

Mechanical Engineering

38 calculators — pick a year, then drill into subjects and topics.

1st Year

Semester 1

Engineering Mathematics

Algebra

Quadratic Roots

Solve ax² + bx + c = 0.

Matrices

2×2 Matrix Determinant

Determinant of a 2×2 matrix.

Engineering Physics

Mechanics

Newton's Second Law (Force)

Force from mass and acceleration.

Projectile Motion

Projectile Range

Horizontal range of a projectile launched from ground.

Simple Harmonic Motion

Simple Pendulum Period

Period of a small-angle simple pendulum.

Engineering Chemistry

Acid–Base

pH from hydrogen-ion concentration.

2nd Year

Semester 1

Engineering Mechanics

Statics

Moment of a Force

Moment about a point.

Friction

Kinetic or static friction on a horizontal surface.

Strength of Materials

Stress & Strain

Axial stress under a direct load.

Engineering strain from elongation.

Elasticity

Young's Modulus

Modulus of elasticity from stress and strain.

Thermal Stress

Stress from restrained thermal expansion.

Design

Factor of Safety

Ratio of ultimate to working stress.

Thermodynamics

Gas Laws

Ideal Gas Law (solve for P)

Pressure from ideal gas law.

Isothermal process: P₁V₁ = P₂V₂.

Cycles

Carnot Efficiency

Maximum theoretical efficiency between two reservoirs.

Semester 2

Strength of Materials

Beam Bending

Beam Deflection (Simply Supported, Center Load)

Max central deflection of a simply supported beam under a mid-span point load.

Fiber stress from bending moment.

Torsion

Torsion in Solid Shaft

Max shear stress in a solid circular shaft under torque.

Columns

Euler Buckling Load

Critical buckling load for a slender column.

Fluid Mechanics

Statics

Hydrostatic Pressure

Pressure at depth in a fluid column.

Dimensionless Numbers

Reynolds Number

Flow regime indicator for pipe flow.

Flow

Continuity Equation

Solve for outlet velocity given inlet area, velocity and outlet area.

Bernoulli

Torricelli / Bernoulli Velocity

Free-jet velocity from a reservoir under head h.

Pipe Flow

Darcy–Weisbach Head Loss

Frictional head loss in a pipe.

Pumps

Shaft power required to lift fluid at flow rate Q against head H.

3rd Year

Semester 1

Refrigeration & Air Conditioning

COP

COP of Refrigerator (Carnot)

Ideal COP of a refrigerator.

COP of Heat Pump (Carnot)

Ideal COP of a heat pump.

Capacity

Ton of Refrigeration

Convert cooling capacity in kW to Tons of Refrigeration (1 TR = 3.517 kW).

Heat Transfer

Conduction

Fourier Conduction (Plane Wall)

Steady-state heat conduction through a plane wall.

Convection

Newton's Law of Cooling

Convective heat transfer to a surface.

Radiation

Radiation (Stefan–Boltzmann)

Radiant emissive power of a gray surface.

Heat Exchangers

LMTD (Counterflow)

Log-mean temperature difference for a counterflow heat exchanger.

Theory of Machines

Kinematics

Angular Velocity from RPM

Convert rotational speed to angular velocity.

Gears

Speed / torque ratio of a simple gear pair.

Semester 2

Manufacturing

Machining

Cutting Speed (Turning)

Surface cutting speed on a lathe.

Final Year

Semester 1

IC Engines

Performance

IC Engine Brake Power

Brake power from torque and speed.

Mechanical Efficiency (IC)

Ratio of brake to indicated power.