MECHANICAL ENGINEERING CURRICULUM

THEORETICAL ENGINEERING
NOTES & FORMULAS.

Comprehensive theoretical study modules covering Engineering Mathematics, Theory of Machines, Strength of Materials, Fluid Mechanics, Manufacturing & Production, Thermodynamics, RAC, Automobile, and Power Plant Engineering.

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9 SUBJECTSUNDER EXPERT CURATION
FORMATSREVISION & FORMULA PDFS

Theoretical Engineering Notes & Formulas

Comprehensive core mechanical engineering revision guides, governing equations, formula cheat sheets, and curriculum breakdown across 9 core engineering disciplines.

Showing 9 of 9 Subjects
📐CCR-TH-01
Core Fundamentals

Engineering Mathematics

Comprehensive engineering mathematical foundations including Linear Algebra, Differential Calculus, Vector Analysis, and Numerical Methods.

Eigenvalue Equation|A - λI| = 0
Euler's Formulae^(iθ) = cos(θ) + i sin(θ)
Taylor Series Expansionf(x) = ∑ [f^(n)(a)/n!] (x - a)^n
Linear Algebra & MatricesDifferential Calculus & Partial DerivativesDifferential Equations & TransformsVector Calculus & Numerical Techniques
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⚙️CCR-TH-02
Mechanisms & Kinematics

Theory of Machines

Kinematic analysis of mechanisms, gear trains, cams, governors, flywheels, gyroscopes, and dynamic balancing of rotating/reciprocating masses.

Grübler's / Kutzbach Mobility CriterionDOF = 3(n - 1) - 2j - h
Grashof's Law for 4-Bar Mechanisms + l ≤ p + q
Gear Train Velocity RatioN_out / N_in = T_in / T_out
Kinematics of Linkages & InversionsVelocity & Acceleration AnalysisGears, Gear Trains & CamsFlywheels, Governors & Dynamic Balancing
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🏗️CCR-TH-03
Structural Mechanics

Strength of Materials

Stress-strain behavior, Mohr circle, shear force & bending moment diagrams, beam deflection, torsion of shafts, and column buckling.

Hooke's Law & Axial Deformationδ = (P · L) / (A · E)
Bending Stress Equation (Flexure Formula)σ / y = M / I = E / R
Torsion Formula for Circular Shaftsτ / r = T / J = G · θ / L
Simple Stress, Strain & Elastic ConstantsPrincipal Stresses & Mohr’s CircleShear Force & Bending Moment (SFD / BMD)Beam Deflection, Torsion & Columns
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💧CCR-TH-04
Thermal & Fluids

Fluid Mechanics

Fluid statics, continuity equation, Bernoulli equation, laminar & turbulent pipe flow, boundary layer theory, and hydraulic machinery.

Newton's Law of Viscosityτ = μ · (du / dy)
Bernoulli's Conservation EquationP / (ρg) + v^2 / (2g) + z = Constant
Darcy-Weisbach Friction Lossh_f = (f · L · v^2) / (2g · D)
Fluid Properties & StaticsFluid Kinematics & Conservation LawsViscous Flow & Boundary Layer TheoryHydraulic Turbines & Pumps
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🏭CCR-TH-05
Manufacturing Engineering

Manufacturing & Production

Metal casting processes, metal forming & rolling, sheet metal operations, machining mechanics, cutting tool geometry, welding, and metrology.

Chvorinov's Rule for Solidificationt_s = B · (V / A)^n
Merchant's Shear Angle Relation2φ + β - α = 90° (or π/2)
Taylor's Tool Life EquationV · T^n = C
Metal Casting & SolidificationMetal Forming & Sheet Metal WorkMachining Mechanics & Cutting ToolsWelding, Joining & Metrology
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🔥CCR-TH-06
Thermal & Fluids

Thermodynamics

Zeroth, First and Second Laws of Thermodynamics, entropy generation, pure substance P-v-T surfaces, ideal gas laws, and thermodynamic power cycles.

First Law for Closed SystemδQ = dU + δW
Steady Flow Energy Equation (SFEE)h1 + v1^2/2 + gz1 + q = h2 + v2^2/2 + gz2 + w
Carnot Maximum Thermal Efficiencyη_carnot = 1 - (T_L / T_H)
Basic Concepts & First Law of ThermodynamicsSecond Law of Thermodynamics & EntropyProperties of Pure SubstancesGas Power & Vapor Power Cycles
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❄️CCR-TH-07
Thermal & Energy Systems

Refrigeration and Air Conditioning (RAC)

Vapour compression refrigeration (VCR), vapour absorption systems (VAR), psychrometric processes, cooling load estimations, and eco-friendly refrigerants.

Coefficient of Performance (COP)COP_ref = Q_absorbed / W_input = (h1 - h4) / (h2 - h1)
1 Ton of Refrigeration (TR)1 TR = 3.517 kW = 210 kJ/min = 50 kcal/min
Relative Humidity (RH / φ)φ = (P_v / P_vs) × 100%
Vapour Compression Refrigeration Systems (VCRS)Vapour Absorption & Gas Refrigeration CyclesPsychrometry & Air Conditioning ProcessesCooling Load Estimation & AC System Design
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🚗CCR-TH-08
Vehicle Engineering

Automobile Engineering

Vehicle chassis dynamics, internal combustion engines, clutch & transmission systems, differential gears, suspension, steering geometry, and EV technologies.

Ackermann's Steering Conditioncot(δ_outer) - cot(δ_inner) = c / b
Tractive Effort & ResistanceF_total = F_rolling + F_aerodynamic + F_gradient + F_acceleration
Brake Thermal Efficiencyη_bth = (Brake Power) / (m_fuel · LHV)
Chassis Layout & Powertrain ArchitectureEngine Subsystems & Emissions ControlTransmission, Propeller Shaft & DifferentialSuspension, Steering & Braking Systems
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CCR-TH-09
Energy & Power Generation

Power Plant Engineering

Thermal steam power plants, high-pressure boilers, gas turbine combined cycles, nuclear fission reactors, hydroelectric installations, and economics of power generation.

Plant Capacity FactorCapacity Factor = (Actual Energy Output in kWh) / (Maximum Plant Capacity × 8760 h)
Plant Load FactorLoad Factor = (Average Load) / (Peak Maximum Demand)
Combined Cycle Efficiencyη_combined = η_gas + η_steam - (η_gas · η_steam)
Steam Thermal Power Plants & High-Pressure BoilersGas Turbine & Combined Cycle Power PlantsNuclear Power Stations & Fission ReactorsHydroelectric Stations & Economics of Generation
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