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Sổ tay tiêu chuẩn thiết kế máy P19

Tham khảo tài liệu 'sổ tay tiêu chuẩn thiết kế máy p19', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | CHAPTER 15 INSTABILITIES IN BEAMS AND COLUMNS Harry Herman Professor of Mechanical Engineering New Jersey Institute of Technology Newark New Jersey 15.1 EULER S FORMULA 115.2 15.2 EFFECTIVE LENGTH 15.4 15.3 GENERALIZATION OF THE PROBLEM 15.6 15.4 MODIFIED BUCKLING FORMULAS 15.7 15.5 STRESS-LIMITING CRITERION 15.8 15.6 BEAM-COLUMN ANALYSIS 15.12 15.7 APPROXIMATE METHOD 15.13 15.8 INSTABILITY OF BEAMS 15.14 REFERENCES 15.18 NOTATION A B n c n c y c z Area of cross section Arbitrary constants Coefficients in series Distance from y and z axis respectively to outermost compressive fiber e E E t F x G h H I j fc2 K K Q Eccentricity of axial load P Modulus of elasticity of material Tangent modulus for buckling outside of elastic range A function of x Shear modulus of material Height of cross section Horizontal transverse force on column Moment of inertia of cross section Moment of inertia with respect to y and z axis respectively Torsion constant polar moment of inertia PIEI Effective-length coefficient Spring constant for constraining spring at origin 15.1 15.2 STANDARD HANDBOOK OF MACHINE DESIGN K T 0 K T L I L Lett M M M 0 M L Mmii M 0 cr Mr M y M z n P Pa r R s t T x y z Y Y Tl C l Torsional spring constants at x 0 L respectively Developed length of cross section Length of column or beam Effective length of column Bending moments Bending moments at x 0 L and midpoint respectively Critical moment for buckling of beam Moment due to transverse load Moment about y and z axis respectively Integer running index Axial load on column Critical axial load for buckling of column Radius of gyration Radius of cross section Running coordinate measured from one end Thickness of cross section Torque about x axis Axial coordinate of column or beam Transverse coordinates and deflections Initial deflection crookedness of column Deflection of beam-column due to transverse load Factor of safety Stress Angle of twist As the terms beam and column imply this chapter deals with .