Determinate_Structures

# Determinate_Structures - 1 Idealized Structure Principle of...

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Unformatted text preview: 1 ! Idealized Structure ! Principle of Superposition ! Equations of Equilibrium ! Determinacy and Stability ! Beams ! Frames ! Gable Frames ! Application of the Equations of Equilibrium ! Analysis of Simple Diaphragm and Shear Wall Systems Problems Analysis of Statically Determinate Structures 2 Classification of Structures & Support Connections typical ¡roller-supported¢ connection (concrete) typical ¡fixed-supported¢ connection (concrete) typical ¡pin-supported¢ connection (metal) stiffeners weld weld typical ¡fixed-supported¢ connection (metal) 3 fixed-connected joint pin-connected joint fixed support A B P actual beam L /2 L /2 torsional spring joint pin support torsional spring support idealized beam A B L /2 L /2 P 4 One unknown. The reaction is a force that acts perpendicular to the surface at the point of contact. One unknown. The reaction is a force that acts perpendicular to the surface at the point of contact. F One unknown. The reaction is a force that acts in the direction of the cable or link. One unknown. The reaction is a force that acts perpendicular to the surface at the point of contact. Type of Connection Idealized Symbol Number of Unknowns Reaction Table 2-1 Supports for Coplanar Structures (3) F (4) F (1) θ Light cable θ rockers (2) rollers 5 fixed-connected collar Two unknowns. The reactions are two force components. F y F x Type of Connection Idealized Symbol Number of Unknowns Reaction F M Two unknowns. The reactions are a force and moment. Three unknowns. The reactions are the moment and the two force components. M F y F x (7) fixed support (5) Smooth pin or hinge (6) slider 6 & Idealized Structure. F 3 m 4 m A B actual structure idealized structure 3 m 4 m A B F 7 idealized framing plan A B C D joist slab column girder fixed-connected beam idealize beam fixed-connected overhanging beam Idealized beam 8 idealized framing plan idealized framing plan 9 & Tributary Loadings. stringer floor beam girder slab deck girder pier veihicle slab stringer floor beam girder 10 wall footing slab on grade column landing stairs foundation wall basement 1 st floor supported slab 2 nd floor beam beam joist slab joist spread footing spandrel beam 11 A B C D E F idealized framing plan 4 m 4 m 2 m 2 m A B C D E F 0.5 kN/m 2 One-Way System. C D 4 m idealized beam 1 m 1 m 1 m 1 m 1 kN/m 2 kN 2 kN idealized girder F B 2 m 2 m 2 kN 1 kN 1 kN 12 A B C D E F Idealized framing plan for one-way slab action requires 2 / 1 2 ≥ L L L 2 L 1 L 1 L 1 /2 L 1 /2 concrete slab is reinforced in two directions, poured on plane forms A girder beam column 13 6 m 4 m idealized framing plan A B C D L 2 / L 1 = 1.0 < 2 4 m 4 m idealized framing plan A B C D L 2 / L 1 = 1 Two-Way System....
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Determinate_Structures - 1 Idealized Structure Principle of...

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