Compression Members
Compression Members: Structural elements subjected only to axial compressive forces Stress:Uniform over entire cross section Loads are applied along a longitudinal axis through the centroid In reality: (a) Secondary Bending due to Load Eccentricities - Ignore (b) Computed Bending Moment - Treat as Beam Column
Types of Compression Members Columns Vertical Members that support vertical loads Trusses and Bracing Systems Compressive Forces Struts Smaller compression members not classified as columns
Compression Members Compression members are susceptible to BUCKLING BUCKLING – Loss of stability –Axial loads cause lateral deformations (bending-like deformations) P is applied slowly P increases Member becomes unstable - buckles
Column Theory Axial force that causes Buckling is called Critical Load and is associated to the column strength P cr depends on Length of member Material Properties Section Properties
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Column Theory - Euler Buckling
Elastic Buckling
Compression Members – Stress-Strain Behavior Tension Test Data
Compression Members – Stress-Strain Behavior Coupon tests different than short column tests
Compression Members – Stress-Strain Behavior Rolled Shapes
Compression Members – Stress-Strain Behavior Rolled Shapes Tips of flanges and web cool down first and shorten Hot liquid areas follow
Compression Members – Stress-Strain Behavior Rolled Shapes Tips of flanges and web have solidified Hot liquid areas cool down and shorten further Solidified flanges resist shortening Residual Compressive stresses in flanges Residual tensile stresses in remaining Residual stresses ksi
Compression Members – Stress-Strain Behavior
Column Strength Consider a Long Slender Column Material Behavior ELASTIC BUCKLING
Column Strength Consider a Shorter Column Material Behavior INELASTIC BUCKLING
Column Theory - Very Short Columns Consider a Very Short Column PLASTIC BEHAVIOR Yielding takes place before any instabilities
Column Theory - Column Strength Curve