PEP study materials
PEP study resources

PEP key terms

PEP · Get comfortable with the vocabulary.

Stress concentration factor (Kt)

A multiplier that expresses how much local stress at a geometric discontinuity, such as a hole or fillet, exceeds the nominal stress computed on the unmodified cross section.

Related: Fatigue limit, Stress intensity factor
Stress intensity factor (K)

A fracture-mechanics quantity describing the magnitude of the stress field near a crack tip, compared against a material's fracture toughness to judge whether a crack will propagate.

Related: Fracture toughness, Stress concentration factor (Kt)
Fracture toughness (KIC)

A material property measuring resistance to crack extension under opening-mode loading, used with applied stress intensity to assess the safety of a cracked component.

Related: Stress intensity factor (K), Fatigue limit
Fatigue limit

The stress amplitude below which a material can endure an effectively unlimited number of load cycles without failure, characteristic of steels but absent in many aluminum alloys.

Related: S-N curve, Stress concentration factor (Kt)
S-N curve

A plot of cyclic stress amplitude against the number of cycles to failure, used to estimate fatigue life at a given alternating stress level.

Related: Fatigue limit, Goodman diagram
Goodman diagram

A linear failure criterion relating mean stress and alternating stress, letting an engineer adjust an allowable stress amplitude for the presence of a nonzero mean load.

Related: S-N curve, Fatigue limit
Factor of safety

The ratio of a component's capacity or strength to the load or stress it is expected to experience, providing margin against uncertainty in loads, material properties, and analysis.

Related: Allowable stress design, Limit state design
Limit state design

A design method that checks factored load combinations against factored resistance for each defined failure condition, such as strength, serviceability, and stability.

Related: Load and resistance factor design (LRFD), Factor of safety
Load and resistance factor design (LRFD)

A probability-calibrated design format in which nominal loads are multiplied by load factors and nominal resistances by resistance factors so that factored demand does not exceed factored capacity.

Related: Limit state design, Allowable stress design
Allowable stress design

A design approach in which computed service-level stresses are kept below a material's allowable stress, obtained by dividing a strength or yield value by a safety factor.

Related: Factor of safety, Load and resistance factor design (LRFD)
Mohr's circle

A graphical construction that transforms stress or strain components between coordinate orientations, giving principal values and maximum shear from a state of plane stress or strain.

Related: Principal stress, Von Mises stress
Principal stress

A normal stress acting on a plane where shear stress is zero; the largest and smallest principal stresses bound the stress state and drive many failure criteria.

Related: Mohr's circle, Von Mises stress
Von Mises stress

An equivalent stress combining the deviatoric components of a three-dimensional stress state, compared with yield strength to predict yielding of ductile metals.

Related: Principal stress, Mohr's circle
Stress-strain curve

A plot of applied stress versus resulting strain for a material, revealing elastic modulus, yield point, ultimate strength, and ductility.

Related: Yield strength, Elastic modulus
Elastic modulus (Young's modulus)

The slope of the linear elastic portion of a stress-strain curve, quantifying a material's stiffness and its resistance to elastic deformation under axial load.

Related: Stress-strain curve, Poisson's ratio
Poisson's ratio

The negative ratio of transverse strain to axial strain in a uniaxially loaded material, typically near 0.3 for metals and used in multiaxial and volumetric analyses.

Related: Elastic modulus (Young's modulus), Thermal expansion coefficient
Yield strength

The stress at which a material begins to deform plastically, often reported as a 0.2 percent offset value for metals lacking a distinct yield point.

Related: Stress-strain curve, Von Mises stress
Thermal expansion coefficient

The fractional change in length per unit temperature change, used to compute thermal strains and the stresses induced when expansion is restrained.

Related: Poisson's ratio, Creep
Creep

Time-dependent permanent deformation of a material under sustained stress, significant at elevated temperatures and evaluated against allowable deformation over a design life.

Related: Thermal expansion coefficient, Fatigue limit
Buckling

Sudden loss of stability of a slender member under compressive load, occurring at a critical load that depends on end conditions, stiffness, and unsupported length.

Related: Euler critical load, Slenderness ratio
Euler critical load

The theoretical axial compressive load at which an ideal elastic column becomes unstable, proportional to the product of elastic modulus and moment of inertia and inversely proportional to effective length squared.

Related: Buckling, Slenderness ratio
Slenderness ratio

Effective length divided by the least radius of gyration of a compression member, indicating whether buckling or yielding governs its strength.

Related: Buckling, Euler critical load
Beam shear and moment diagrams

Graphical plots of internal shear force and bending moment along a beam, used to locate maximum values and select cross sections.

Related: Section modulus, Deflection
Section modulus

The ratio of a cross section's moment of inertia to its distance from the neutral axis to the extreme fiber, used to convert bending moment into maximum bending stress.

Related: Beam shear and moment diagrams, Deflection
Deflection

The displacement of a structural member under load, typically limited by serviceability criteria and computed by integrating the moment-curvature relationship or using tabulated formulas.

Related: Section modulus, Beam shear and moment diagrams
Reynolds number

A dimensionless ratio of inertial to viscous forces in a flow, used to distinguish laminar from turbulent regimes and to correlate friction and heat transfer data.

Related: Darcy-Weisbach equation, Nusselt number
Darcy-Weisbach equation

A relation expressing head loss in a pipe as a function of friction factor, length-to-diameter ratio, and velocity head, widely used for pressure-drop calculations.

Related: Reynolds number, Minor loss coefficient
Minor loss coefficient (K)

A dimensionless factor applied to velocity head to quantify pressure loss through fittings, valves, and abrupt changes in flow area.

Related: Darcy-Weisbach equation, Reynolds number
Nusselt number

A dimensionless measure of convective heat transfer at a surface relative to conduction through the same fluid layer, used with correlations to find convection coefficients.

Related: Reynolds number, Log mean temperature difference
Log mean temperature difference (LMTD)

The appropriate average temperature driving force for heat exchange between two fluids in parallel or counterflow, calculated from the terminal temperature differences.

Related: Nusselt number, Effectiveness-NTU method
Effectiveness-NTU method

A heat exchanger analysis approach that uses effectiveness and number of transfer units to predict performance when outlet temperatures are unknown.

Related: Log mean temperature difference (LMTD), Nusselt number
First law of thermodynamics

The principle of energy conservation for a system, stating that the net heat added equals the net work done plus the change in internal energy.

Related: Second law of thermodynamics, Isentropic process
Second law of thermodynamics

The principle that entropy of an isolated system cannot decrease, setting the direction of spontaneous processes and bounding the efficiency of heat engines and refrigerators.

Related: First law of thermodynamics, Isentropic process
Isentropic process

An idealized reversible adiabatic process in which entropy remains constant, used as a benchmark for compressor, turbine, and nozzle efficiency calculations.

Related: Second law of thermodynamics, First law of thermodynamics
Standard deviation

A measure of the dispersion of a data set around its mean, equal to the square root of the variance and central to tolerance, uncertainty, and reliability analysis.

Related: Normal distribution, Confidence interval
Normal distribution

A symmetric bell-shaped probability distribution defined by its mean and standard deviation, frequently used to model measurement error and material property scatter.

Related: Standard deviation, Confidence interval
Confidence interval

A range of values, computed from sample data, expected to contain an unknown population parameter with a stated probability over repeated sampling.

Related: Standard deviation, Normal distribution
Sensitivity analysis

A study of how variation in input parameters affects a model's output, used to identify which uncertainties most influence a design decision.

Related: Monte Carlo simulation, Tolerance stack-up
Monte Carlo simulation

A computational method that repeatedly samples random inputs from specified probability distributions to estimate the distribution of a model's output.

Related: Sensitivity analysis, Tolerance stack-up
Tolerance stack-up

An analysis of how individual part tolerances combine to determine the overall variation of an assembly dimension, using worst-case or statistical methods.

Related: Sensitivity analysis, Monte Carlo simulation
Root cause analysis

A structured investigation that traces a failure or nonconformity back to its underlying cause rather than its symptoms, often supported by techniques such as fault trees or five-whys questioning.

Related: Failure modes and effects analysis (FMEA), Design review
Failure modes and effects analysis (FMEA)

A systematic tabulation of potential failure modes, their effects and severity, occurrence, and detectability, used to prioritize design or process improvements.

Related: Root cause analysis, Design review
Design review

A documented, multidisciplinary examination of a design against requirements at defined stages, intended to catch errors before they become costly or unsafe.

Related: Failure modes and effects analysis (FMEA), Root cause analysis
Code of ethics

A formal statement of the professional obligations expected of engineers, typically covering public safety, competence, honesty, confidentiality, and avoidance of conflicts of interest.

Related: Conflict of interest, Standard of care
Conflict of interest

A situation in which personal, financial, or other interests could improperly influence professional judgment, requiring disclosure and often recusal from the affected decision.

Related: Code of ethics, Standard of care
Standard of care

The degree of care and skill that a reasonably prudent practitioner with similar training would exercise under comparable circumstances, used to judge professional conduct.

Related: Code of ethics, Seal and signature
Seal and signature

The professional registration stamp and signature applied to drawings and reports, signifying that the licensed engineer takes responsibility for the work's competence and compliance.

Related: Standard of care, Code of ethics
Hierarchy of controls

A ranked sequence of hazard mitigation measures, from elimination and substitution through engineering controls and administrative controls to personal protective equipment.

Related: Job hazard analysis, Lockout/tagout
Job hazard analysis

A method of breaking a task into steps and identifying hazards and controls for each step before work begins.

Related: Hierarchy of controls, Lockout/tagout
Lockout/tagout

A procedure for isolating and securing hazardous energy sources during maintenance so that equipment cannot be re-energized until locks and tags are removed by authorized personnel.

Related: Hierarchy of controls, Job hazard analysis
Permit-to-work system

A formal authorization process for high-risk tasks that documents hazards, required controls, and sign-offs before and during the work.

Related: Lockout/tagout, Job hazard analysis
Material safety data sheet (SDS)

A standardized document describing a hazardous chemical's properties, health effects, handling precautions, and emergency measures, used to inform safe use and storage.

Related: Hierarchy of controls, Permit-to-work system
Reference standard

A consensus document issued by a recognized body that specifies accepted requirements, test methods, or practices for a product, process, or system.

Related: Code, Specification
Code

A body of mandatory rules adopted by a jurisdiction, often built on consensus standards, governing the design, construction, or operation of regulated facilities and equipment.

Related: Reference standard, Specification
Specification

A precise written statement of requirements for materials, products, or workmanship, forming part of a contract and defining what will be accepted.

Related: Reference standard, Code
Quality assurance and quality control

Planned process activities that build confidence requirements will be met, paired with inspection and testing activities that verify conformance of the delivered work.

Related: Tolerance stack-up, Design review