Main Formulae for Analysis of Statically Determinate Beams | Civil Engineering Academy

Welcome to Civil Engineering Academy. In this lesson, we review the key formulae and fundamental relationships used in the analysis of statically determinate beams. These principles are essential for determining support reactions, shear forces, bending moments, and constructing Shear Force Diagrams (SFDs) and Bending Moment Diagrams (BMDs). The lesson provides a concise foundation for solving analytical beam-analysis problems in Structural Analysis and Civil Engineering. 📐 MAIN TOPICS COVERED ✅ Degree of Static Determinacy (DSD) ✅ Free Body Diagrams (FBD) ✅ Fundamental Equilibrium Equations • ∑Fx = 0 • ∑Fy = 0 • ∑M = 0 ✅ Support Reactions ✅ Shear Force (SF) ✅ Bending Moment (BM) ✅ Relationships Between Load, Shear Force, and Bending Moment ✅ Point Loads ✅ Uniformly Distributed Loads (UDL) ✅ Uniformly Varying Loads (UVL) / Triangular Distributed Loads ✅ Applied Moments ✅ Maximum Shear Force ✅ Maximum Bending Moment ✅ Shear Force Diagrams (SFD) ✅ Bending Moment Diagrams (BMD) 🎓 KEY LEARNING OUTCOMES By the end of this lesson, you should be able to: • Identify the degree of static determinacy of a beam. • Draw and interpret a beam Free Body Diagram (FBD). • Apply the fundamental equations of static equilibrium. • Determine support reactions for statically determinate beams. • Understand the relationships between load, shear force, and bending moment. • Apply appropriate equations for different types of beam loading. • Determine critical shear-force and bending-moment values. • Construct and interpret SFDs and BMDs. • Apply key beam-analysis formulae when solving structural-analysis problems. 🎯 WHO SHOULD WATCH? This lesson is suitable for: • Civil Engineering Students • Structural Engineering Students • Construction & Building Technology Students • TVET & Polytechnic Students • University Students • Engineering Technicians • Engineering Lecturers and Instructors • Candidates preparing for engineering examinations and interviews • Anyone learning Structural Analysis and Beam Analysis 🎓 LEARN THE COMPLETE COURSE 1. 🎓 Full Course on Udemy — Analysis of Statically Determinate Structures Learn how to analyze beams, trusses, frames, and arches through structured lessons, analytical calculations, worked examples, and downloadable learning resources. 👉 Udemy Full Course: https://www.udemy.com/course/analysis-of-s... 2. 📕 Structural Analysis eBook on Gumroad Get the Analysis of Statically Determinate Structures eBook covering structural-analysis fundamentals, equilibrium, support reactions, beams, trusses, frames, three-hinged arches, and worked analytical problems. 👉 Gumroad eBook: https://mbonigaba.gumroad.com/l/analysis-s... 3. 📚 Course & Learning Resources on Payhip Access Analysis of Statically Determinate Structures and additional digital learning resources. 👉 Payhip Resources: https://payhip.com/b/5vAfM 📺 CIVIL ENGINEERING ACADEMY Learn | Analyze | Excel If you find this lesson useful: 👍 LIKE 💬 COMMENT with your questions 📤 SHARE with your classmates and colleagues 🔔 SUBSCRIBE to Civil Engineering Academy Continue learning with Civil Engineering Academy for more tutorials on: • Structural Analysis • Beam Analysis • Truss Analysis • Frame Analysis • Three-Hinged Arches • Structural Mechanics • Civil Engineering Thank you for learning with Civil Engineering Academy! #CivilEngineering #StructuralAnalysis #BeamAnalysis #DeterminateBeams #SupportReactions #ShearForce #BendingMoment #SFD #BMD #CivilEngineeringAcademy