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9 Motto:
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11 ~,~,There is singularity between linear and nonlinear world.”
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13 (% style="text-align: right;" %)
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.
20
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
23
24 = 1 Linear static calculations =
25
26 1.1 [[Beam with two point loading at one-third of its span>>Beam with two point loading at one-third of its span (Verification example)]]
27 1.2 [[Calculation of a circular plate with concentrated force at its center>>Calculation of a circular plate with concentrated force at its center (Verification example)]]
28 1.3 [[A simply supported square plate with uniform load>>A simply supported square plate with uniform load (Verification example)]]
29 1.4 [[Peak smoothing of the bending moments in a flat slab>>Peak smoothing of the bending moments in a flat slab (Verification example)]]
30
31 == 2 Second order analysis ==
32
33 2.1 [[A column with vertical and horizontal loads>>A column with vertical and horizontal loads (Verification example)]]
34 2.2 [[A plate with in-plane and out-of-plane loads>>A plate with in-plane and out-of-plane loads (Verification example)]]
35
36 == 3 Stability analysis ==
37
38 3.1 [[Flexural buckling analysis of a beam model with different boundary conditions>>Flexural buckling analysis of a beam model with different boundary conditions (Verification example)]]
39 3.2 [[Buckling analysis of a plate with shell model>>Buckling analysis of a plate with shell model (Verification example)]]
40 3.3 [[Lateral torsional buckling of an I section with shell model>>Lateral torsional buckling of an I section with shell model (Verification example)]]
41 3.4 [[Lateral torsional buckling of a cantilever with elongated rectangle section>>Lateral torsional buckling of a cantilever with elongated rectangle section (Verification example)]]
42
43 == 4 Calculation of eigenfrequencies with linear dynamic theory ==
44
45 4.1 [[Continuous mass distribution on a cantilever column>>Continuous mass distribution on a cantilever column (Verification example)]]
46 4.2 [[Free vibration shapes of a clamped circular plate due to its self-weight>>Free vibration shapes of a clamped circular plate due to its self-weight (Verification example)]]
47
48 == 5 Seismic calculation ==
49
50 5.1 [[Lateral force method with linear shape distribution on a cantilever>>Lateral force method with linear shape distribution on a cantilever (Verification example)]]
51 5.2 [[Lateral force method with fundamental mode shape distribution on a cantilever>>Lateral force method with fundamental mode shape distribution on a cantilever (Verification example)]]
52 5.3 [[Modal analysis of a concrete frame building  >>Modal analysis of a concrete frame building (Verification example)]]
53
54 == 6 Calculation considering diaphragms ==
55
56 6.1. [[A simple calculation with diaphragms>>A simple calculation with diaphragms (Verification example)]]
57 6.2. [[The calculation of the shear center>>The calculation of the shear center (Verification example)]]
58
59 == 7 Calculations considering nonlinear effects ==
60
61 7.1 Uplift calculation
62 7.1.1 [[A trusses with limited compression members>>A trusses with limited compression members (Verification example)]]
63 7.1.2 [[A continuous beam with three supports>>A continuous beam with three supports (Verification example)]]
64 7.2 Cracked section analysis by reinforced concrete elements
65 7.2.1 [[Cracked deflection of a simply supported beam>>Cracked deflection of a simply supported beam (Verification example)]]
66 7.2.2 [[Cracked deflection of a statically indeterminate beam>>Cracked deflection of a statically indeterminate beam (Verification example)]]
67 7.2.3 [[Cracked deflection of a cantilever beam>>Cracked deflection of a cantilever beam (Verification example)]]
68 7.2.4 [[Cracked deflection of a cantilever beam with compressed reinforcement bars>>Cracked deflection of a cantilever beam with compressed reinforcement bars (Verification example)]]
69 7.2.5 [[Cracked deflection of a cantilever with bending moment and normal forces>>Cracked deflection of a cantilever with bending moment and normal forces (Verification example)]]
70 7.2.6 [[Cracked deflection of a simply supported square slab>>Cracked deflection of a simply supported square slab (Verification example)]]
71 7.3 Nonlinear soil calculation
72 7.4 Elasto-plastic calculations
73 7.4.1 [[Elasto-plastic point support in a beam>>Elasto-plastic point support in a beam (Verification example)]]
74 7.4.2 [[Elasto-plastic line support in a plate>>Elasto-plastic line support in a plate (Verification example)]]
75 7.4.3 [[Elasto-plastic surface support with detach in an embedded plate>>Elasto-plastic surface support with detach in an embedded plate (Verification example)]]
76 7.4.4 [[Elasto-plastic trusses in a multispan continuous beam>>Elasto-plastic trusses in a multispan continuous beam (Verification example)]]
77 7.4.5 [[Elasto-plastic point-point connection between cantilevers>>Elasto-plastic point-point connection between cantilevers (Verification example)]]
78 7.4.6 [[Elasto-plastic point-point connection with uplift in a multispan continuous beam>>Elasto-plastic point-point connection with uplift in a multispan continuous beam (Verification example)]]
79 7.4.7 [[Elasto-plastic edge connections in a building braced by shear walls>>Elasto-plastic edge connections in a building braced by shear walls (Verification example)]]
80 7.4.8 [[Elasto-plastic edge connections with detach in a shear wall>>Elasto-plastic edge connections with detach in a shear wall (Verification example)]]
81 7.4.9 [[Elasto-plastic line-line connections in a square plate>>Elasto-plastic line-line connections in a square plate (Verification example)]]
82 7.5 Calculation with construction stages
83 7.5.1 [[A steel frame building with construction stages calculation>>A steel frame building with construction stages calculation (Verification example)]]
84
85 == 8 Dynamic response analysis ==
86
87 8.1 [[Footfall analysis of a concrete footbridge>>Footfall analysis of a concrete footbridge (Verification example)]]
88 8.2 [[Footfall analysis of a composite floor>>Footfall analysis of a composite floor (Verification example)]]
89 8.3 [[Footfall analysis of a lightweight floor>>Footfall analysis of a lightweight floor (Verification example)]]
90 8.4 [[Footfall analysis of a small stage with rhythmic crowd load>>Footfall analysis of a small stage with rhythmic crowd load (Verification example)]]
91 8.5 [[Dynamic response of a moving mass point on a simply supported beam>>Dynamic response of a moving mass point on a simply supported beam (Verification example)]]
92 8.6 [[Dynamic response of a moving single force on a simply supported beam>>Dynamic response of a moving single force on a simply supported beam (Verification example)]]
93 8.7 [[Dynamic response of a moving force group on a simply supported beam>>Dynamic response of a moving force group on a simply supported beam (Verification example)]]
94
95 == 9 Design calculations ==
96
97 ==== 9.1 Foundation design ====
98
99 9.1.1 [[Design of an isolated foundation>>Design of an isolated foundation (Verification example)]]
100 9.1.2 [[Design of a wall foundation>>Design of a wall foundation (Verification example)]]
101 9.1.3 [[Design of a foundation slab>>Design of a foundation slab (Verification example)]]
102
103 ==== 9.2 Reinforced concrete design ====
104
105 9.2.1 [[Moment capacity calculation for beams under pure bending>>Moment capacity calculation for beams under pure bending (Verification example)]]
106 9.2.1.1 Under-reinforced cross section
107 9.2.1.2 Normal-reinforced cross section
108 9.2.1.3 Over-reinforced cross section
109 9.2.2 [[Required reinforcement calculation for a slab>>Required reinforcement calculation for a slab (Verification example)]]
110 9.2.2.1 Elliptic bending
111 9.2.2.2 Hyperbolic bending
112 9.2.3 [[Shear capacity calculation>>Shear capacity calculation (Verification example)]]
113 9.2.3.1 Shear capacity of a beam
114 9.2.3.2 Shear capacity of a slab
115 9.2.4 [[Crack width calculation of a beam>>Crack width calculation of a beam (Verification example)]]
116 9.2.5 [[Crack width calculation of a slab>>Crack width calculation of a slab (Verification example)]]
117 9.2.5.1 Elliptic bending
118 9.2.5.2 Hyperbolic bending
119 9.2.6 [[Punching calculation of a slab>>Punching calculation of a slab (Verification example)]]
120 9.2.6.1 Bended bars
121 9.2.6.2 Circular stirrups
122 9.2.6.3 Open stirrups
123 9.2.6.4 Stud rail general product
124 9.2.6.5 Stud rail PSB product according to ETA-13/0151
125 9.2.7 [[Interaction of normal force and biaxial bending in a column>>Interaction of normal force and biaxial bending in a column (Verification example)]]
126 9.2.7.1 Nominal stiffness method
127 9.2.7.2 Nominal curvature method
128 9.2.8 [[Calculation of a statically indeterminate beam with post tensioned cables>>Calculation of a statically indeterminate beam with post tensioned cables (Verification example)]]
129
130 ==== 9.3 Steel design ====
131
132 9.3.1 [[Interaction of normal force, bending moment and shear force>>Interaction of normal force, bending moment and shear force (Verification example)]]
133 9.3.2 [[Buckling of a doubly symmetric I section>>Buckling of a doubly symmetric I section (Verification example)]]
134 9.3.3 [[Buckling of a doubly symmetric + section>>Buckling of a doubly symmetric + section (Verification example)]]
135 9.3.4 [[Buckling of a mono-symmetric channel section>>Buckling of a mono-symmetric channel section (Verification example)]]
136 9.3.5 [[Lateral torsional buckling of a doubly symmetric I section>>Lateral torsional buckling of a doubly symmetric I section (Verification example)]]
137 9.3.6 [[Interaction of biaxial bending and axial compression in an RHS section>>Interaction of biaxial bending and axial compression in an RHS section (Verification example)]]
138 9.3.7 [[Interaction calculation with a Class 4 section>>Interaction calculation with a Class 4 section (Verification example)]]
139
140 ==== 9.4 Timber design ====
141
142 9.4.1 [[Design of timber bars>>Design of timber bars (Verification example)]]
143 9.4.2 [[CLT Panel design with laminated composite shell theory>>CLT Panel design with laminated composite shell theory (Verification example)]]
144 9.4.2.1 Calculation with shear coupling
145 9.4.2.1.1.1 Glue at narrow side
146 9.4.2.1.1.2 No glue at narrow side
147 9.4.2.1.2 Calculation without shear coupling
148 9.4.2.1.2.1 Glue at narrow side
149 9.4.2.1.2.2 No glue at narrow side
150 9.4.2.2 Deflection and stresses of a CLT panel supported on two opposite edges
151 9.4.2.3 Deflection and stresses of a CLT simply supported two-way slab
152 9.4.2.4 In-plane loaded CLT design check to shear failure at glued contact surface
153 9.4.2.5 Buckling check of a CLT wall
154
155
156 ==== 9.5 Automatic calculation of flexural buckling length ====
157
158 9.5.1 [[Concrete frame building>>Concrete frame building (Verification example)]]
159 9.5.1.1 Non-sway case
160 9.5.1.2 Sway case
161 9.5.2 [[Steel frame building>>Steel frame building (Verification example)]]
162 9.5.2.1 Non-sway case
163 9.5.2.2 Sway case
164 9.5.3 A column and a supporting beam with various angles
165
166 == 10 Cross section editor ==
167
168 10.1 [[Calculation of a compound cross section>>Calculation of a compound cross section (Verification example)]]
169
170
171 References
172 Notes   
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179 **Download**
180
181 [[Verification Examples - pdf version>>http://download.strusoft.com/FEM-Design/inst190x/documents/verification_examples.pdf]]
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189 **Check also**
190
191 [[User Manual>>doc:Manuals.User Manual.WebHome]]
192
193 [[Theory Manual>>doc:Manuals.Theory Manual.WebHome]]
194
195 [[Other manuals>>doc:Manuals.Other manuals.WebHome]]
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