Expert-level statics covering equilibrium of rigid bodies, free body diagrams, trusses, frames, friction, centroids, and moments of inertia.
한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.
실행 점수 미검증
설치 방법 보기설치하기 전에 에이전트에게 전달되는 지시 내용을 확인할 수 있습니다.
Conditions: sum of forces equals zero, sum of moments equals zero. 2D equilibrium: three equations, Fx = 0, Fy = 0, moment about any point = 0. 3D equilibrium: six equations, three force and three moment equations. Free body diagram: isolate body, show all external forces and moments. Support reactions: pin provides two force reactions, roller one, fixed provides all.
Truss: two-force members connected at joints, loads only at joints. Method of joints: sum forces at each joint, two equations per joint. Method of sections: cut through up to three members, sum forces and moments. Zero force members: can be identified by inspection, simplify analysis. Determinacy: m + r = 2j for statically determinate truss.
Coulomb friction: F = mu times N, friction force proportional to normal force. Static vs kinetic: static coefficient larger than kinetic. Impending motion: maximum static friction just before sliding begins. Wedge friction: self-locking condition when friction angle exceeds wedge angle.
Centroid: geometric center, weighted average position of area or volume. Composite bodies: sum of component centroids weighted by area or volume. Second moment of area: I = integral of y squared dA, resists bending. Parallel axis theorem: I = Icm + A times d squared.
| Pitfall | Fix |
|---|---|
| Incomplete free body diagram | Identify and include all contact forces and applied loads |
| Wrong sign convention | Define positive directions clearly at start |
| Ignoring weight of members | Include member weight unless stated massless |
| Moment sign error | Use right-hand rule consistently for 3D problems |
아직 리뷰가 없습니다. 사용해 본 소감을 남겨 주세요.
로그인 없이 쓸 수 있습니다. 사용 후기, 질문, 작동하지 않은 환경 등을 편하게 남겨 주세요.
아직 댓글이 없습니다. 첫 댓글을 남겨 보세요.
Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.
Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.
Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.
Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.
Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.
Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.