Summary: • Stiffness matrix of a bar/truss element • Coordinate transformation • Stiffness matrix of a truss element in 2D space • Problems in 2D truss analysis (including multipoint constraints) • 3D Truss element • Direct Stiffness – bar / truss Trusses:...
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Summary: • Stiffness matrix of a bar/truss element • Coordinate transformation • Stiffness matrix of a truss element in 2D space • Problems in 2D truss analysis (including multipoint constraints) • 3D Truss element • Direct Stiffness – bar / truss Trusses: Engineering structures that are composed only of two-force members. e.g., bridges, roof supports Actual trusses: Airy structures composed of slender members (Ibeams, channels, angles, bars etc) joined together at their ends by welding, riveted connections or large bolts and pins Gusset plate A typical truss structure Ideal trusses: Assumptions • Ideal truss members are connected only at their ends. • Ideal truss members are connected by frictionless pins (no moments) • The truss structure is loaded only at the pins • Weights of the members are neglected A typical truss structure Frictionless pin These assumptions allow us to idealize each truss member as a two-force member (members loaded only at their extremities by equal opposite a
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