Ch-2 Fixed Beam | FORMULA BASED NUMERICAL 9|MSBTE| Theory of structure | SEM5| TOS |K SCHEME|315313| скачать в хорошем качестве

Ch-2 Fixed Beam | FORMULA BASED NUMERICAL 9|MSBTE| Theory of structure | SEM5| TOS |K SCHEME|315313|

MSBTE | Chapter 2 Fixed Beam | Standard formulae to find end moments and end reactions for different loading conditions | Theory of structure | tos msbte | sem5 tos msbte | tos 315313 | MSBTE | MSBTE K Scheme | Polytechnic | Programme Name/s : Civil Engineering/ Civil & Rural Engineering/ Construction Technology/ Civil & Environmental Engineering/ Programme Code: CE/ CR/ CS/ LE Semester: Fifth Course Title: THEORY OF STRUCTURE Course Code: 315313 📘 Theory of Structure (TOS – 315313) – Chapter-wise Video Lectures 🎓 Course: Diploma in Engineering & Technology 📅 Year: Final Year (Semester 5) 📖 Subject Name: Theory of Structure (TOS) 📚 Subject Code: 315313 📑 Scheme: K Scheme 🏢 Board: MSBTE (Maharashtra State Board of Technical Education) 🎯 About This Playlist This video lecture series is designed strictly as per the MSBTE K Scheme syllabus for final-year Civil Engineering diploma students. It provides chapter-wise coverage of all units with a strong focus on: ✅ Concept clarity ✅ Exam-oriented preparation ✅ Self-paced learning Each video explains key structural analysis concepts with simple examples, step-by-step derivations, and visual aids — making it easier to grasp even complex topics like: Slope & Deflection Fixed Beam Continuous Beams Moment Distribution Method Simple Trusses (Method of Joints & Sections) 📌 Why Watch This Playlist? ✔️ Complete coverage as per MSBTE (K Scheme) ✔️ Ideal for final-year polytechnic students (Civil Branch) ✔️ Simplified explanations using diagrams and solved problems ✔️ Helpful for unit tests, end-semester exams, and viva ✔️ Supports self-learning anytime, anywhere Unit - I Slope and Deflection 1.1 Concept of slope and deflection, stiffness of beams, Relation among bending moment, slope, deflection and radius of curvature, (no derivation). 1.2 Double integration method to find slope and deflection of simply supported and cantilever beam subjected to concentrated load and uniformly distributed load on entire span. 1.3 Macaulay’s method for slope and deflection, application to simply supported and cantilever beam subjected to concentrated and uniformly distributed load on entire span. Unit - II Fixed Beam 2.1 Concept of fixity, effect of fixity, advantages and disadvantages of fixed beam over simply supported beam. 2.2 Principle of superposition, Fixed end moments from first principle for beam subjected to central point load, UDL over entire span, Point load other than mid span. 2.3 Standard formulae to find end moments and end reactions for different loading conditions. 2.4 Shear force and bending moment diagram of fixed beam, point of contra shear and point of contra flexure. Unit - III Continuous Beam 3.1 Definition, effect of continuity, nature of moments induced due to continuity, concept of deflected shape, Zero span or imaginary span theory. 3.2 Clapeyron’s theorem of three moments (no derivation) Supports at same level, spans having same and different moment of inertia. 3.3 Clapeyron’s theorem of three moments to various types of continuous beams subjected to concentrated loads and uniformly distributed load over entire span having same and different moment of inertia, supports at same level, up to three spans and two unknown support moments only. 3.4 Shear force and bending moment diagram of continuous beams, point of contra shear and point of contra flexure. Unit - IV Moment Distribution Method 4.1 Introduction to moment distribution method, sign convention, Carry over factor, stiffness factor, distribution Factor, Distribution of moment. 4.2 Application of moment distribution method to continuous beams subjected to concentrated loads and uniformly distributed load over entire span having same moment of inertia, supports at same level, up to three spans and two unknown support moments only. 4.3 Application of moment distribution method to continuous beams subjected to concentrated loads and uniformly distributed load over entire span having different moment of inertia, supports at same level, up to three spans and two unknown support moments only. 4.4 Shear force and bending moment diagram of continuous beams, point of contra shear and point of contra flexure. 4.5 Introduction to portal frames – Symmetrical and unsymmetrical portal frames with the concept of Bays and stories.(No Numerical) Unit - V Simple Trusses 5.1 Introduction of Truss, Types of trusses (Simple, Fink, compound fink, French truss, Pratt truss, Howe truss, North light truss, King post and Queen post truss), Classification of trusses ( perfect and imperfect). 5.2 Support reactions for trusses subjected to point loads at nodal points only. 5.3 Forces in members of truss using method of joints and Method of sections. 5.4 Graphical method of analysis of truss. (No numerical on graphical method of analysis of truss)