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Stiffness in structural engineering refers to the ability of a structure or its elements to resist deformation when subjected to loads. It is a fundamental property that affects how a structure responds to forces such as gravity, wind, seismic activity, and other dynamic loads. Key Concepts: Definition: Stiffness is the ratio of force (or moment) applied to a structure to the resulting displacement (or rotation). Mathematically: Stiffness(𝑘)= Force/Displacement Higher stiffness means less deformation under load. Types of Stiffness: Axial Stiffness: Resistance to elongation or compression along a member’s axis. Flexural (Bending) Stiffness: Resistance to bending under moment loads, defined as 𝐸𝐼 EI, where: E = Modulus of Elasticity, I = Moment of Inertia Shear Stiffness: Resistance to shear deformation. Torsional Stiffness: Resistance to twisting or torque. Importance in Structural Design: Serviceability: Ensures deflections are within acceptable limits. Load Distribution: Stiffer members attract more load in a statically indeterminate system. Dynamic Response: Influences natural frequency and damping, which are critical in seismic design. Stability: Helps prevent buckling and overall collapse. Stiffness in ETABS: ETABS automatically calculates stiffness based on material properties and geometry. Users can view stiffness modifiers to simulate real behavior (e.g., cracked sections). ETABS outputs stiffness matrices and modal analysis to evaluate structure behavior. Stiffness vs. Strength: Stiffness is about deformation (elastic behavior), while Strength is about failure load (ultimate behavior). A structure can be stiff but not strong, or vice versa. Applications: High-rise building design Earthquake-resistant structures Frame and truss analysis Optimization of structural members