1 MANE 4240 & CIVL 4240 Introduction to Finite Elements Prof. Suvranu De Development of Truss Equations Reading assignment: Chapter 3: Sections 3.1-3.9 + Lecture notes Summary: • Stiffness matrix of a bar/truss element • Coordinate transformation • Coordinate transformation • Stiffness matrix of a truss element in 2D space •Problems in 2D truss analysis (including multipoint constraints) •3D Truss element Trusses: Engineering structures that are composed only of two-force members. e.g., bridges, roof supports Actual trusses: Airy structures composed of slender members (I-beams, channels, angles, bars etc) joined together at their ends by welding, riveted connections or large bolts and pins Gusset plate A typical truss structure