PRINCIPLES OF STRUCTURAL STABILITY THEORY
BEAM COLUMN WITH A LATERAL CONCENTRATED LOAD CONCENTRATED LATERAL LOAD AT THE MID-SPAN BEAM COLUMNS WITH SEVERAL CONCENTRATED LOADS BEAM COLUMN WITH LATERAL UNIFORMLY DISTRIBUTED LOAD BEAM COLUMNS WITH UNIFORMLY DISTRIBUTED LOAD OVER A PORTION OF THEIR SPAN BEAM COLUMNS WITH UNIFORMLY INCREASING LOAD OVER A PORTION OF THEIR SPAN BEAM COLUMNS SUBJECTED TO MOMENTS SPAN MOMENT ON BEAM COLUMN END MOMENT ON A BEAM COLUMN MOMENTS AT BOTH ENDS OF BEAM COLUMN TWO EQUAL MOMENTS MOMENTS AT BOTH ENDS OF THE BEAM COLUMN: ALTERNATE METHOD END MOMENTS OF THE SAME SIGN GIVING DOUBLE CURVATURE COLUMNS WITH ELASTIC RESTRAINTS BEAM COLUMNS WITH DIFFERENT END CONDITIONS AND LOADS PINNED-FIXED BEAM COLUMNS WITH A CONCENTRATED LOAD PINNED-FIXED BEAM COLUMNS SUBJECTED TO UNIFORMLY DISTRIBUTED LOAD FIXED-FIXED BEAM COLUMN WITH CONCENTRATED FORCE FIXED-FIXED BEAM COLUMN WITH UNIFORMLY DISTRIBUTED LOAD ALTERNATE METHOD USING BASIC DIFFERENTIAL EQUATIONS PINNED-FIXED BEAM COLUMN WITH UNIFORMLY DISTRIBUTED LOAD CONTINUOUS BEAM COLUMNS SLOPE DEFLECTION EQUATIONS FOR BEAM COLUMNS MATRIX INVERSION BEAM COLUMNS SUBJECTED TO ROTATIONS AND RELATIVE DISPLACEMENT AT THE ENDS BEAM COLUMNS HAVING ONE END HINGED BEAM COLUMNS WITH TRANSVERSE LOADING BEAM COLUMNS IN SINGLE CURVATURE INELASTIC BEAM COLUMNS CASE 1: YIELDING ON THE COMPRESSION SIDE ONLY CASE 2: YIELDING ON BOTH THE COMPRESSION AND TENSION SIDES DESIGN OF BEAM COLUMNS CONCEPT OF EQUIVALENT MOMENT AND FACTOR CM AISC DESIGN CRITERIA FOR STEEL BEAM COLUMNS 4 11 2 1 DOUBLY AND SINGLY SYMMETRIC MEMBERS SUBJECTED TO FLEXURE AND COMPRESSION 4 11 2 2 UNSYMMETRIC AND OTHER MEMBERS SUBJECT TO FLEXURE AND AXIAL FORCE EUROCODE 3 (ECS, 1993) DESIGN CRITERIA CANADIAN STANDARDS ASSOCIATION (CSA 1994 – CSA-S16 1) PROBLEMS REFERENCES FRAMES INTRODUCTION CRITICAL LOADS BY THE EQUILIBRIUM METHOD PORTAL FRAME WITHOUT SIDESWAY PORTAL FRAME WITHOUT SIDESWAY WITH RIGID OR EXTREMELY FLEXIBLE BEAM PORTAL FRAME WITH SIDESWAY PORTAL FRAME HAVING SIDESWAY WITH A RIGID OR EXTREMELY FLEXIBLE BEAM FRAME WITH PRIME BENDING AND WITHOUT SIDESWAY CRITICAL LOADS BY SLOPE DEFLECTION EQUATIONS TWO-STORY FRAME WITHOUT SIDESWAY TWO-BAY FRAME WITHOUT SIDESWAY FRAMES WITH PRIME BENDING AND WITHOUT SIDESWAY FRAME WITH HINGED SUPPORTS FRAME WITH FIXED SUPPORTS FRAMES WITH PRIME BENDING AND SIDESWAY BOX FRAME WITHOUT SIDESWAY MULTISTORY-MULTIBAY FRAMES WITHOUT SIDESWAY CRITICAL LOADS BY MATRIX AND FINITE ELEMENT METHODS FORMATION OF THE ELEMENT STIFFNESS MATRIX FORMATION OF THE STRUCTURE STIFFNESS MATRIX IN SPAN LOADING BUCKLING OF A FRAME PINNED AT THE BASE AND WITH SIDESWAY PERMITTED NONLINEAR GEOMETRIC OR LARGE DEFLECTION ANALYSIS (SECOND-ORDER ELASTIC ANALYSIS) DESIGN OF FRAME MEMBERS BRACED FRAMES (SIDESWAY INHIBITED) UNBRACED FRAMES (SIDESWAY NOT INHIBITED) INELASTIC BUCKLING OF FRAMES TORSIONAL BUCKLING AND LATERAL BUCKLING OF BEAMS PURE TORSION OF THIN-WALLED CROSS-SECTIONS NON-UNIFORM TORSION OF THIN-WALLED OPEN CROSS-SECTIONS I-SECTION GENERAL THIN-WALLED OPEN CROSS-SECTIONS WARPING CONSTANT CW OF A CHANNEL SECTION TORSIONAL BUCKLING OF COLUMNS TORSIONAL BUCKLING LOAD THIN-WALLED OPEN SECTIONS WITH RECTANGULAR ELEMENTS INTERSECTING AT A POINT THIN-WALLED OPEN DOUBLY SYMMETRIC SECTIONS PINNED-PINNED COLUMNS FIXED-FIXED COLUMNS TORSIONAL FLEXURAL BUCKLING SINGLY SYMMETRIC SECTIONS TORSIONAL FLEXURAL BUCKLING: THE ENERGY APPROACH STRAIN ENERGY OF TORSIONAL FLEXURAL BUCKLING POTENTIAL ENERGY OF EXTERNAL LOADS IN TORSIONAL FLEXURAL BUCKLING LATERAL BUCKLING OF BEAMS LATERAL BUCKLING OF SIMPLY SUPPORTED, NARROW RECTANGULAR BEAMS IN PURE BENDING LATERAL BUCKLING OF SIMPLY SUPPORTED I BEAMS IN PURE BENDING LATERAL BUCKLING OF SIMPLY SUPPORTED I BEAMS: CONCENTRATED LOAD AT THE MID-SPAN LATERAL BUCKLING OF CANTILEVER I BEAMS: CONCENTRATED LOAD AT THE FREE END LATERAL BUCKLING OF CANTILEVER NARROW RECTANGULAR BEAMS: CONCENTRATED LOAD AT THE FREE END LATERAL BUCKLING OF NARROW RECTANGULAR CANTILEVER BEAMS ACTED ON BY UNIFORM MOMENT THE ENERGY METHOD LATERAL BUCKLING OF SIMPLY SUPPORTED, NARROW RECTANGULAR BEAMS: CONCENTRATED LOAD AT THE MID-SPAN LATERAL BUCKLING OF SIMPLY SUPPORTED I BEAMS: UNIFORMLY DISTRIBUTED LOAD LATERAL BUCKLING OF SIMPLY SUPPORTED, NARROW RECTANGULAR BEAMS: UNIFORMLY DISTRIBUTED LOAD ALONG THE CENTROIDAL AXIS LATERAL BUCKLING OF CANTILEVER RECTANGULAR BEAMS: CONCENTRATED LOAD AT THE FREE END BEAMS WITH DIFFERENT SUPPORT AND LOADING CONDITIONS DIFFERENT SUPPORT CONDITIONS DIFFERENT LOADING CONDITIONS 6 10 2 1 BEAMS WITH UNEQUAL MOMENTS DESIGN FOR TORSIONAL AND LATERAL BUCKLING AISC DESIGN CRITERIA FOR STEEL BEAMS 6 11 1 1 LOCAL BUCKLING 6 11 1 2 LATERAL TORSIONAL BUCKLING BUCKLING OF PLATES THEORY OF PLATE BENDING BUCKLING OF THIN PLATES IN-PLANE FORCES BOUNDARY CONDITIONS SIMPLY SUPPORTED EDGE BUILT-IN EDGE FREE EDGE ELASTICALLY SUPPORTED AND ELASTICALLY BUILT-IN EDGE BUCKLING OF RECTANGULAR PLATES UNIFORMLY COMPRESSED IN ONE DIRECTION BUCKLING OF RECTANGULAR PLATES WITH SIMPLY SUPPORTED EDGES BUCKLING OF RECTANGULAR PLATES WITH OTHER BOUNDARY CONDITIONS LOADING EDGES SIMPLY SUPPORTED, THE SIDE Y = 0 IS CLAMPED, AND THE SIDE Y = B IS FREE LOADING EDGES SIMPLY SUPPORTED AND THE SIDES Y = 0 AND Y = B ARE CLAMPED LOADING EDGES SIMPLY SUPPORTED, THE SIDE Y = 0 IS SIMPLY SUPPORTED, AND THE SIDE Y = B IS FREE LOADING EDGES SIMPLY SUPPORTED, THE SIDE Y = 0 IS ELASTICALLY BUILT-IN AND THE SIDE Y = B IS FREE LOADING EDGES SIMPLY SUPPORTED, THE SIDES Y = ± B/2 ARE ELASTICALLY BUILT-IN LOADING EDGES SIMPLY SUPPORTED, THE SIDES Y = ± B/2 ARE ELASTICALLY RESTRAINED BY ROTATIONAL SPRINGS LOADING EDGES SIMPLY SUPPORTED, THE SIDES Y = 0 AND Y = B ARE ELASTICALLY BUILT WITH DIFFERENT FLANGE SIZES LOADING EDGES SIMPLY SUPPORTED, THE SIDES Y = 0 AND Y = B ARE SUPPORTED BY ELASTIC BEAMS STRAIN ENERGY DUE TO BENDING IN PLATES POTENTIAL ENERGY OF THE EXTERNAL FORCES IN PLATES POTENTIAL ENERGY DUE TO NX AND NY POTENTIAL ENERGY DUE TO NXY RECTANGULAR PLATE SUBJECTED TO UNIAXIAL COMPRESSIVE FORCE AND FIXED ON ALL EDGES A RECTANGULAR PLATE WITH CLAMPED EDGES UNDER COMPRESSIVE PRESSURE IN TWO PERPENDICULAR DIRECTIONS BUCKLING OF SIMPLY SUPPORTED RECTANGULAR PLATES UNDER THE ACTION OF SHEAR FORCES BUCKLING OF SIMPLY SUPPORTED RECTANGULAR PLATES UNDER COMBINED BENDING AND COMPRESSION BUCKLING OF PLATES WITH STIFFENERS SIMPLY SUPPORTED RECTANGULAR PLATES WITH LONGITUDINAL STIFFENERS PLATES WITH TWO LONGITUDINAL STIFFENERS DIVIDING THE WIDTH OF THE PLATE SIMPLY SUPPORTED RECTANGULAR COMPRESSED PLATE WITH TRANSVERSE STIFFENERS SIMPLY SUPPORTED RECTANGULAR PLATE WITH STIFFENERS IN BOTH THE LONGITUDINAL AND TRANSVERSE DIRECTIONS BUCKLING OF CIRCULAR PLATES CLAMPED PLATE SIMPLY SUPPORTED PLATE THE FINITE DIFFERENCE METHOD CRITICAL LOAD FOR A SIMPLY SUPPORTED PLATE SUBJECTED TO BIAXIAL LOADING THE FINITE ELEMENT METHOD LARGE DEFLECTION THEORY OF PLATES POST-BUCKLING BEHAVIOR OF PLATES INELASTIC BUCKLING OF PLATES RECTANGULAR PLATES WITH SIMPLY SUPPORTED EDGES PLATE WITH LOADING EDGES SIMPLY SUPPORTED AND THE SIDES Y = 0 AND Y = B ARE CLAMPED ULTIMATE STRENGTH OF PLATES IN COMPRESSION LOCAL BUCKLING OF COMPRESSION ELEMENTS: DESIGN BUCKLING OF SHELLS THE LARGE DEFLECTION THEORY OF CYLINDRICAL SHELLS THE LINEAR THEORY OF CYLINDRICAL SHELLS LINEAR MEMBRANE EQUATIONS FOR CYLINDRICAL SHELLS DONNELL’S LINEAR EQUATIONS OF STABILITY OF CYLINDRICAL SHELLS APPLICATION OF THE LINEAR STABILITY EQUATIONS CIRCULAR CYLINDERS UNDER AXIAL COMPRESSION CIRCULAR CYLINDERS UNDER UNIFORM LATERAL PRESSURE CRITICAL PRESSURES FOR CYLINDERS SUBJECTED TO EXTERNAL PRESSURE CYLINDERS SUBJECTED TO TORSION CYLINDERS SUBJECTED TO COMBINED AXIAL COMPRESSION AND UNIFORM EXTERNAL LATERAL PRESSURE CYLINDRICAL SHELLS WITH DIFFERENT END CONDITIONS FAILURE AND POST-BUCKLING BEHAVIOR OF CYLINDRICAL SHELLS POST-BUCKLING BEHAVIOR OF CYLINDRICAL SHELLS POST-BUCKLING BEHAVIOR OF CYLINDRICAL PANELS GENERAL SHELLS NONLINEAR EQUATIONS OF EQUILIBRIUM LINEAR EQUATIONS OF STABILITY (THE DONNELL TYPE) SHELLS OF REVOLUTION STABILITY EQUATIONS WHERE PRE-BUCKLING ROTATIONS ARE RETAINED STABILITY EQUATIONS WITH PRE-BUCKLING ROTATIONS NEGLECTED CIRCULAR FLAT PLATES SHALLOW SPHERICAL CAPS CONICAL SHELLS TOROIDAL SHELLS ANSWERS TO THE PROBLEMS