Changes for page Verification Examples
Last modified by Iwona Budny Bjergø on 2020/11/24 11:25
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... ... @@ 21,119 +21,120 @@ 21 21 We are continuously developing this verification book therefore some discrepancy in the numbering of the chapters or some missing examples can occur. The Verification Manual is available as pdf book. 22 22 23 23 24 == 1 Linear static calculations 24 +== 1 Linear static calculations == 25 25 26 1.1 Beam with two point loading at onethird of its span 727 1.2 Calculation of a circular plate with concentrated force at its center 928 1.3 A simply supported square plate with uniform load 1329 1.4 Peak smoothing of the bending moments in a flat slab 1626 +1.1 Beam with two point loading at onethird of its span 27 +1.2 Calculation of a circular plate with concentrated force at its center 28 +1.3 A simply supported square plate with uniform load 29 +1.4 Peak smoothing of the bending moments in a flat slab 30 30 31 == 2 Second order analysis 31 +== 2 Second order analysis == 32 32 33 2.1 A column with vertical and horizontal loads 2134 2.2 A plate with inplane and outofplane loads 2433 +2.1 A column with vertical and horizontal loads 34 +2.2 A plate with inplane and outofplane loads 35 35 36 == 3 Stability analysis 36 +== 3 Stability analysis == 37 37 38 3.1 Flexural buckling analysis of a beam model with different boundary conditions 2839 3.2 Buckling analysis of a plate with shell model 3140 3.3 Lateral torsional buckling of an I section with shell model 3441 3.4 Lateral torsional buckling of a cantilever with elongated rectangle section 3738 +3.1 Flexural buckling analysis of a beam model with different boundary conditions 39 +3.2 Buckling analysis of a plate with shell model 40 +3.3 Lateral torsional buckling of an I section with shell model 41 +3.4 Lateral torsional buckling of a cantilever with elongated rectangle section 42 42 43 == 44 4 Calculation of eigenfrequencies with linear dynamic theory == 43 +== 4 Calculation of eigenfrequencies with linear dynamic theory == 45 45 46 4.1 Continuous mass distribution on a cantilever column 3947 4.2 Free vibration shapes of a clamped circular plate due to its selfweight 4245 +4.1 Continuous mass distribution on a cantilever column 46 +4.2 Free vibration shapes of a clamped circular plate due to its selfweight 48 48 49 == 5 Seismic calculation 48 +== 5 Seismic calculation == 50 50 51 5.1 Lateral force method with linear shape distribution on a cantilever 44 52 5.2 Lateral force method with fundamental mode shape distribution on a cantilever 47 53 5.3 Modal analysis of a concrete frame building 49 54 6 Calculation considering diaphragms 58 55 6.1. A simple calculation with diaphragms 58 56 6.2. The calculation of the shear center 58 57 7 Calculations considering nonlinear effects 63 58 7.1 Uplift calculation 63 59 7.1.1 A trusses with limited compression members 63 60 7.1.2 A continuous beam with three supports 67 61 7.2 Cracked section analysis by reinforced concrete elements 73 62 7.2.1 Cracked deflection of a simly supported beam 73 63 7.2.2 Cracked deflection of a statically indeterminate beam 79 64 7.2.3 Cracked deflection of a cantilever beam 85 65 7.2.4 Cracked deflection of a cantilever beam with compressed reinforcement bars 90 66 7.2.5 Cracked deflection of a cantilever with bending moment and normal forces 94 67 7.2.6 Cracked deflection of a simply supported square slab 103 68 7.3 Nonlinear soil calculation 110 69 7.4 Elastoplastic calculations 111 70 7.4.1 Elastoplastic point support in a beam 111 71 7.4.2 Elastoplastic line support in a plate 116 72 7.4.3 Elastoplastic surface support with detach in an embedded plate 121 73 7.4.4 Elastoplastic trusses in a multispan continuous beam 131 74 7.4.5 Elastoplastic pointpoint connection between cantilevers 141 75 7.4.6 Elastoplastic pointpoint connection with uplift in a multispan continuous beam 145 76 7.4.7 Elastoplastic edge connections in a building braced by shear walls 151 77 7.4.8 Elastoplastic edge connections with detach in a shear wall 155 78 7.4.9 Elastoplastic lineline connections in a square plate 161 79 7.5 Calculation with construction stages 165 80 7.5.1 A steel frame building with construction stages calculation 165 81 8 Footfall analysis 171 82 8.1 Footfall analysis of a concrete footbridge 171 83 8.2 Footfall analysis of a composite floor 175 84 8.3 Footfall analysis of a lightweight floor 177 85 8.4 Footfall analysis of a small stage with rhythmic crowd load 179 86 9 Design calculations 183 87 9.1 Foundation design 183 88 9.1.1 Design of an isolated foundation 183 89 9.1.2 Design of a wall foundation 183 90 9.1.3 Design of a foundation slab 183 91 9.2 Reinforced concrete design 184 92 9.2.1 Moment capacity calculation for beams under pure bending 184 93 9.2.1.1 Underreinforced cross section 184 94 9.2.1.2 Normalreinforced cross section 191 95 9.2.1.3 Overreinforced cross section 194 96 9.2.2 Required reinforcement calculation for a slab 197 97 9.2.2.1 Elliptic bending 197 98 9.2.2.2 Hyperbolic bending 207 99 9.2.3 Shear capacity calculation 217 100 9.2.3.1 Shear capacity of a beam 217 101 9.2.3.2 Shear capacity of a slab 220 102 9.2.4 Crack width calculation of a beam 224 103 9.2.5 Crack width calculation of a slab 230 104 9.2.5.1 Elliptic bending 231 105 9.2.5.2 Hyperbolic bending 243 106 9.2.6 Punching calculation of a slab 265 107 9.2.6.1 Bended bars 266 108 9.2.6.2 Circular stirrups 271 109 9.2.6.3 Open stirrups 274 110 9.2.6.4 Stud rail general product 277 111 9.2.6.5 Stud rail PSB product according to ETA13/0151 280 112 9.2.7 Interaction of normal force and biaxial bending in a column 284 113 9.2.7.1 Nominal stiffness method 285 114 9.2.7.2 Nominal curvature method 292 115 9.2.8 Calculation of a statically indeterminate beam with post tensioned cables 296 50 +5.1 Lateral force method with linear shape distribution on a cantilever 51 +5.2 Lateral force method with fundamental mode shape distribution on a cantilever 52 +5.3 Modal analysis of a concrete frame building 53 + 54 + 55 +6 Calculation considering diaphragms 56 +6.1. A simple calculation with diaphragms 57 +6.2. The calculation of the shear center 58 +7 Calculations considering nonlinear effects 59 +7.1 Uplift calculation 60 +7.1.1 A trusses with limited compression members 61 +7.1.2 A continuous beam with three supports 62 +7.2 Cracked section analysis by reinforced concrete elements 63 +7.2.1 Cracked deflection of a simly supported beam 64 +7.2.2 Cracked deflection of a statically indeterminate beam 65 +7.2.3 Cracked deflection of a cantilever beam 66 +7.2.4 Cracked deflection of a cantilever beam with compressed reinforcement bars 67 +7.2.5 Cracked deflection of a cantilever with bending moment and normal forces 68 +7.2.6 Cracked deflection of a simply supported square slab 69 +7.3 Nonlinear soil calculation 70 +7.4 Elastoplastic calculations 71 +7.4.1 Elastoplastic point support in a beam 72 +7.4.2 Elastoplastic line support in a plate 73 +7.4.3 Elastoplastic surface support with detach in an embedded plate 74 +7.4.4 Elastoplastic trusses in a multispan continuous beam 75 +7.4.5 Elastoplastic pointpoint connection between cantilevers 76 +7.4.6 Elastoplastic pointpoint connection with uplift in a multispan continuous beam 77 +7.4.7 Elastoplastic edge connections in a building braced by shear walls 78 +7.4.8 Elastoplastic edge connections with detach in a shear wall 79 +7.4.9 Elastoplastic lineline connections in a square plate 80 +7.5 Calculation with construction stages 81 +7.5.1 A steel frame building with construction stages calculation 82 +8 Footfall analysis 83 +8.1 Footfall analysis of a concrete footbridge 84 +8.2 Footfall analysis of a composite floor 85 +8.3 Footfall analysis of a lightweight floor 86 +8.4 Footfall analysis of a small stage with rhythmic crowd load 87 +9 Design calculations 88 +9.1 Foundation design 89 +9.1.1 Design of an isolated foundation 90 +9.1.2 Design of a wall foundation 91 +9.1.3 Design of a foundation slab 92 +9.2 Reinforced concrete design 93 +9.2.1 Moment capacity calculation for beams under pure bending 94 +9.2.1.1 Underreinforced cross section 95 +9.2.1.2 Normalreinforced cross section 96 +9.2.1.3 Overreinforced cross section 97 +9.2.2 Required reinforcement calculation for a slab 98 +9.2.2.1 Elliptic bending 99 +9.2.2.2 Hyperbolic bending 100 +9.2.3 Shear capacity calculation 101 +9.2.3.1 Shear capacity of a beam 102 +9.2.3.2 Shear capacity of a slab 103 +9.2.4 Crack width calculation of a beam 104 +9.2.5 Crack width calculation of a slab 105 +9.2.5.1 Elliptic bending 106 +9.2.5.2 Hyperbolic bending 107 +9.2.6 Punching calculation of a slab 108 +9.2.6.1 Bended bars 109 +9.2.6.2 Circular stirrups 110 +9.2.6.3 Open stirrups 111 +9.2.6.4 Stud rail general product 112 +9.2.6.5 Stud rail PSB product according to ETA13/0151 113 +9.2.7 Interaction of normal force and biaxial bending in a column 114 +9.2.7.1 Nominal stiffness method 115 +9.2.7.2 Nominal curvature method 116 +9.2.8 Calculation of a statically indeterminate beam with post tensioned cables 116 116 9.3 Steel design 305 117 9.3.1 Interaction of normal force, bending moment and shear force 305118 9.3.2 Buckling of a doubly symmetric I section 310119 9.3.3 Buckling of a doubly symmetric + section 315120 9.3.4 Buckling of a monosymmetric channel section 320121 9.3.5 Lateral torsional buckling of a doubly symmetric I section 327122 9.3.6 Interaction of biaxial bending and axial compression in an RHS section 332123 9.3.7 Interaction calculation with a Class 4 section 343124 9.4 Timber design 344125 9.5 Automatic calculation of flexural buckling length 345126 9.5.1 Concrete frame building 345127 9.5.1.1 Nonsway case 345128 9.5.1.2 Sway case 348129 9.5.2 Steel frame building 350130 9.5.2.1 Nonsway case 350131 9.5.2.2 Sway case 352132 9.5.3 A column and a supporting beam with various angles 355133 10 Cross section editor 358134 10.1 Calculation of a compound cross section 358135 References 360136 Notes 361118 +9.3.1 Interaction of normal force, bending moment and shear force 119 +9.3.2 Buckling of a doubly symmetric I section 120 +9.3.3 Buckling of a doubly symmetric + section 121 +9.3.4 Buckling of a monosymmetric channel section 122 +9.3.5 Lateral torsional buckling of a doubly symmetric I section 123 +9.3.6 Interaction of biaxial bending and axial compression in an RHS section 124 +9.3.7 Interaction calculation with a Class 4 section 125 +9.4 Timber design 126 +9.5 Automatic calculation of flexural buckling length 127 +9.5.1 Concrete frame building 128 +9.5.1.1 Nonsway case 129 +9.5.1.2 Sway case 130 +9.5.2 Steel frame building 131 +9.5.2.1 Nonsway case 132 +9.5.2.2 Sway case 133 +9.5.3 A column and a supporting beam with various angles 134 +10 Cross section editor 135 +10.1 Calculation of a compound cross section 136 +References 137 +Notes 137 137 ))) 138 138 139 139 (% class="colxs12 colsm4" %)