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9 Motto:
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11 ~,~,There is singularity between linear and nonlinear world.”
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14 //(Dr. Imre Bojtár)//
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18 (% id="HVerificationManualisacollectionofcalculationexamplesthatcompareFEM-Designanalysiswithhandcalculations." %)
19 Verification Examples is a collection of calculation examples that compare FEM-Design analysis with hand calculations.
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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.
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23
24 == 1 Linear static calculations ==
25
26 1.1 Beam with two point loading at one-third 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
31 == 2 Second order analysis ==
32
33 2.1 A column with vertical and horizontal loads
34 2.2 A plate with in-plane and out-of-plane loads  
35
36 == 3 Stability analysis ==
37
38 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
43 == 4 Calculation of eigenfrequencies with linear dynamic theory ==
44
45 4.1 Continuous mass distribution on a cantilever column
46 4.2 Free vibration shapes of a clamped circular plate due to its self-weight  
47
48 == 5 Seismic calculation ==
49
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 == 6 Calculation considering diaphragms ==
55
56 6.1. A simple calculation with diaphragms
57 6.2. The calculation of the shear center 
58
59 == 7 Calculations considering nonlinear effects ==
60
61 7.1 Uplift calculation
62 7.1.1 A trusses with limited compression members
63 7.1.2 A continuous beam with three supports
64 7.2 Cracked section analysis by reinforced concrete elements
65 7.2.1 Cracked deflection of a simly supported beam
66 7.2.2 Cracked deflection of a statically indeterminate beam
67 7.2.3 Cracked deflection of a cantilever beam
68 7.2.4 Cracked deflection of a cantilever beam with compressed reinforcement bars
69 7.2.5 Cracked deflection of a cantilever with bending moment and normal forces
70 7.2.6 Cracked deflection of a simply supported square slab
71 7.3 Nonlinear soil calculation
72 7.4 Elasto-plastic calculations
73 7.4.1 Elasto-plastic point support in a beam
74 7.4.2 Elasto-plastic line support in a plate
75 7.4.3 Elasto-plastic surface support with detach in an embedded plate
76 7.4.4 Elasto-plastic trusses in a multispan continuous beam
77 7.4.5 Elasto-plastic point-point connection between cantilevers
78 7.4.6 Elasto-plastic point-point connection with uplift in a multispan continuous beam
79 7.4.7 Elasto-plastic edge connections in a building braced by shear walls
80 7.4.8 Elasto-plastic edge connections with detach in a shear wall
81 7.4.9 Elasto-plastic line-line connections in a square plate
82 7.5 Calculation with construction stages
83 7.5.1 A steel frame building with construction stages calculation 
84
85 == 8 Footfall analysis ==
86
87 8.1 Footfall analysis of a concrete footbridge
88 8.2 Footfall analysis of a composite floor
89 8.3 Footfall analysis of a lightweight floor
90 8.4 Footfall analysis of a small stage with rhythmic crowd load 
91
92 == 9 Design calculations ==
93
94 ==== 9.1 Foundation design ====
95
96 9.1.1 Design of an isolated foundation
97 9.1.2 Design of a wall foundation
98 9.1.3 Design of a foundation slab  
99
100 ==== 9.2 Reinforced concrete design ====
101
102 9.2.1 Moment capacity calculation for beams under pure bending
103 9.2.1.1 Under-reinforced cross section
104 9.2.1.2 Normal-reinforced cross section
105 9.2.1.3 Over-reinforced cross section
106 9.2.2 Required reinforcement calculation for a slab
107 9.2.2.1 Elliptic bending
108 9.2.2.2 Hyperbolic bending
109 9.2.3 Shear capacity calculation
110 9.2.3.1 Shear capacity of a beam
111 9.2.3.2 Shear capacity of a slab
112 9.2.4 Crack width calculation of a beam
113 9.2.5 Crack width calculation of a slab
114 9.2.5.1 Elliptic bending
115 9.2.5.2 Hyperbolic bending
116 9.2.6 Punching calculation of a slab
117 9.2.6.1 Bended bars
118 9.2.6.2 Circular stirrups
119 9.2.6.3 Open stirrups
120 9.2.6.4 Stud rail general product
121 9.2.6.5 Stud rail PSB product according to ETA-13/0151
122 9.2.7 Interaction of normal force and biaxial bending in a column
123 9.2.7.1 Nominal stiffness method
124 9.2.7.2 Nominal curvature method
125 9.2.8 Calculation of a statically indeterminate beam with post tensioned cables  
126
127 ==== 9.3 Steel design ====
128
129 9.3.1 Interaction of normal force, bending moment and shear force
130 9.3.2 Buckling of a doubly symmetric I section
131 9.3.3 Buckling of a doubly symmetric + section
132 9.3.4 Buckling of a mono-symmetric channel section
133 9.3.5 Lateral torsional buckling of a doubly symmetric I section
134 9.3.6 Interaction of biaxial bending and axial compression in an RHS section
135 9.3.7 Interaction calculation with a Class 4 section 
136
137 ==== 9.4 Timber design ====
138
139 ==== 9.5 Automatic calculation of flexural buckling length ====
140
141 9.5.1 Concrete frame building
142 9.5.1.1 Non-sway case
143 9.5.1.2 Sway case
144 9.5.2 Steel frame building
145 9.5.2.1 Non-sway case
146 9.5.2.2 Sway case
147 9.5.3 A column and a supporting beam with various angles 
148
149 == 10 Cross section editor ==
150
151 10.1 Calculation of a compound cross section  
152
153
154 References
155 Notes   
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162 **Download**
163
164 [[Verification Examples - pdf version>>http://download.strusoft.com/FEM-Design/inst190x/documents/verification_examples.pdf]]
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172 **Check also**
173
174 [[User Manual>>doc:Manuals.User Manual.WebHome]]
175
176 [[Theory Manual>>doc:Manuals.Theory Manual.WebHome]]
177
178 [[Other manuals>>doc:Manuals.Other manuals.WebHome]]
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