The Moment of Inertia can be converted to metric units like
Iy = 5.78 in4 (0.0254 m/in)4
= 241 10-8 m4
The Euler buckling load can then be calculated as
F = (4) π2 (69 109 Pa) (241 10-8 m4) / (5 m)2
= 262594 N
= 263 kN
The term "L/r" is known as the slenderness ratio. L is the length of the column and r is the radiation of gyration for the column.
Deflection and stress, moment of inertia, section modulus and technical information of beams and columns.
Typical cross sections and their Area Moment of Inertia.
Area Moment of Inertia, Moment of Inertia for an Area or Second Moment of Area for typical cross section profiles.
Properties of British Universal Steel Columns and Beams.
Estimate concrete volume required for concrete columns.
Properties of HE-A profiled steel beams.
The Mass Moment of Inertia vs. mass of object, it's shape and relative point of rotation - the Radius of Gyration.
Typical weights of mild steel square bars.
Radius of gyration describes the distribution of cross sectional area in columns around their centroidal axis.
Allowable concentric loads for steel pipe columns.
Stiffness is resistance to deflection.
Support reactions and bending moments.
Dimensions of American Wide Flange Beams ASTM A6 (or W-Beams) - Imperial units.
Stress and deformation of vertical beams due to own weight.
Safe loads for wood columns.
Young's Modulus (or Tensile Modulus alt. Modulus of Elasticity) and Ultimate Tensile Strength and Yield Strength for materials like steel, glass, wood and many more.
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