V. 2D Circular Surface Edge Stress

The objective of this example is to find the displacement at center, and bending stress at the center and at the perimeter of a circular plate fixed at its periphery.

Reference

Young, W. C., Roark’s Formulas for Stress and Strain, McGraw-Hill Inc., 6th Edition, 1989, Page 429.

Problem

Find the normal stress on the edge of the circular hole for the plate shown, when an in-plane load causes tension. Use a one-quarter, doubly symmetric model.

 E =10,000.0 ksi

 Radius = 10 in

 Thickness = 0.02 in

 w = 0.1 psi

Comparison

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference Comments
δ at node 1 (in) 2.133 2.16005 1.3% The theoretical results from classical Plate theory was compared with the results from Finite Element model - hence the difference in results.
Moment at joint 1 (in·lbs) 0.813 0.830 2.6%

STAAD Input

Tip: You can copy and paste this content directly into a .std file to run in STAAD.Pro.

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\04 Plates Shells\2D Circular Surface Edge Stress.STD is typically installed with the program.

``````STAAD SPACE :UNIFORM PRESSURE ON A FIXED CIRCULAR PLATE
START JOB INFORMATION
ENGINEER DATE 14-Sep-18
END JOB INFORMATION
*
* REFERENCE:  "ROARK'S FORMULAS FOR STRESS AND STRAIN", WARREN C. YOUNG,
*             SIXTH EDITION, MCGRAW-HILL, PAGE 429.
*
UNIT INCHES POUND
JOINT COORDINATES
1 0 0 0; 2 1 0 0; 3 0.984808 0 -0.173648; 4 0.939693 0 -0.34202;
5 0.866025 0 -0.5; 6 0.766044 0 -0.642788; 7 0.642787 0 -0.766045;
8 0.5 0 -0.866026; 9 0.34202 0 -0.939693; 10 0.173648 0 -0.984808;
11 -6.39758e-07 0 -1; 12 -0.173649 0 -0.984808;
13 -0.342021 0 -0.939692; 14 -0.500001 0 -0.866025;
15 -0.642788 0 -0.766044; 16 -0.766045 0 -0.642787;
17 -0.866026 0 -0.499999; 18 -0.939693 0 -0.342019;
19 -0.984808 0 -0.173647; 20 -1 0 1.27952e-06; 21 -0.984807 0 0.17365;
22 -0.939692 0 0.342021; 23 -0.866025 0 0.500001;
24 -0.766043 0 0.642789; 25 -0.642786 0 0.766045;
26 -0.499998 0 0.866026; 27 -0.342018 0 0.939693;
28 -0.173646 0 0.984808; 29 1.91927e-06 0 1; 30 0.17365 0 0.984807;
31 0.342022 0 0.939692; 32 0.500002 0 0.866024; 33 0.642789 0 0.766043;
34 0.766046 0 0.642786; 35 0.866027 0 0.499998; 36 0.939694 0 0.342018;
37 0.984808 0 0.173646; 38 1.2916 0 0; 39 1.27198 0 -0.224284;
40 1.21371 0 -0.441753; 41 1.11856 0 -0.6458; 42 0.989423 0 -0.830225;
43 0.830224 0 -0.989423; 44 0.645799 0 -1.11856; 45 0.441753 0 -1.21371;
46 0.224283 0 -1.27198; 47 -8.26311e-07 0 -1.2916;
48 -0.224285 0 -1.27198; 49 -0.441754 0 -1.21371;
50 -0.645801 0 -1.11856; 51 -0.830225 0 -0.989422;
52 -0.989424 0 -0.830224; 53 -1.11856 0 -0.645799;
54 -1.21371 0 -0.441752; 55 -1.27198 0 -0.224282;
56 -1.2916 0 1.65262e-06; 57 -1.27198 0 0.224286;
58 -1.21371 0 0.441755; 59 -1.11856 0 0.645802; 60 -0.989422 0 0.830226;
61 -0.830223 0 0.989424; 62 -0.645798 0 1.11856; 63 -0.441751 0 1.21371;
64 -0.224282 0 1.27198; 65 2.47893e-06 0 1.2916; 66 0.224286 0 1.27198;
67 0.441756 0 1.21371; 68 0.645803 0 1.11856; 69 0.830227 0 0.989421;
70 0.989425 0 0.830222; 71 1.11856 0 0.645797; 72 1.21371 0 0.44175;
73 1.27198 0 0.224281; 74 1.6681 0 0; 75 1.64276 0 -0.289663;
76 1.5675 0 -0.570524; 77 1.44462 0 -0.83405; 78 1.27784 0 -1.07223;
79 1.07223 0 -1.27784; 80 0.834049 0 -1.44462; 81 0.570523 0 -1.5675;
82 0.289662 0 -1.64276; 83 -1.06718e-06 0 -1.6681;
84 -0.289664 0 -1.64276; 85 -0.570525 0 -1.5675;
86 -0.834051 0 -1.44462; 87 -1.07224 0 -1.27784; 88 -1.27784 0 -1.07223;
89 -1.44462 0 -0.834048; 90 -1.5675 0 -0.570522; 91 -1.64276 0 -0.28966;
92 -1.6681 0 2.13436e-06; 93 -1.64276 0 0.289665; 94 -1.5675 0 0.570526;
95 -1.44462 0 0.834052; 96 -1.27784 0 1.07224; 97 -1.07223 0 1.27784;
98 -0.834047 0 1.44462; 99 -0.570521 0 1.5675; 100 -0.289659 0 1.64276;
101 3.20154e-06 0 1.6681; 102 0.289666 0 1.64276; 103 0.570527 0 1.5675;
104 0.834053 0 1.44462; 105 1.07224 0 1.27784; 106 1.27784 0 1.07223;
107 1.44462 0 0.834046; 108 1.5675 0 0.57052; 109 1.64276 0 0.289658;
110 2.1544 0 0; 111 2.12167 0 -0.374108; 112 2.02447 0 -0.736849;
113 1.86576 0 -1.0772; 114 1.65037 0 -1.38482; 115 1.38482 0 -1.65037;
116 1.0772 0 -1.86577; 117 0.736847 0 -2.02447; 118 0.374106 0 -2.12167;
119 -1.37829e-06 0 -2.1544; 120 -0.374109 0 -2.12167;
121 -0.73685 0 -2.02447; 122 -1.0772 0 -1.86576;
123 -1.38482 0 -1.65036; 124 -1.65037 0 -1.38482;
125 -1.86577 0 -1.0772; 126 -2.02447 0 -0.736846;
127 -2.12167 0 -0.374105; 128 -2.1544 0 2.75659e-06;
129 -2.12167 0 0.374111; 130 -2.02447 0 0.736851; 131 -1.86576 0 1.0772;
132 -1.65036 0 1.38482; 133 -1.38482 0 1.65037; 134 -1.0772 0 1.86577;
135 -0.736844 0 2.02448; 136 -0.374104 0 2.12167;
137 4.13488e-06 0 2.1544; 138 0.374112 0 2.12167;
139 0.736853 0 2.02447; 140 1.0772 0 1.86576; 141 1.38483 0 1.65036;
142 1.65037 0 1.38482; 143 1.86577 0 1.0772; 144 2.02448 0 0.736843;
145 2.12167 0 0.374102; 146 2.7826 0 0; 147 2.74033 0 -0.483194;
148 2.61479 0 -0.951706; 149 2.4098 0 -1.3913; 150 2.13159 0 -1.78862;
151 1.78862 0 -2.1316; 152 1.3913 0 -2.4098; 153 0.951704 0 -2.61479;
154 0.483192 0 -2.74033; 155 -1.78019e-06 0 -2.7826;
156 -0.483195 0 -2.74033; 157 -0.951707 0 -2.61479;
158 -1.3913 0 -2.4098; 159 -1.78862 0 -2.13159; 160 -2.1316 0 -1.78862;
161 -2.4098 0 -1.3913; 162 -2.61479 0 -0.951702;
163 -2.74033 0 -0.48319; 164 -2.7826 0 3.56038e-06;
165 -2.74033 0 0.483197; 166 -2.61479 0 0.951709; 167 -2.4098 0 1.3913;
168 -2.13159 0 1.78862; 169 -1.78862 0 2.1316; 170 -1.3913 0 2.40981;
171 -0.9517 0 2.61479; 172 -0.483188 0 2.74033;
173 5.34057e-06 0 2.7826; 174 0.483199 0 2.74032;
175 0.951711 0 2.61479; 176 1.39131 0 2.4098; 177 1.78863 0 2.13159;
178 2.1316 0 1.78862; 179 2.40981 0 1.39129; 180 2.61479 0 0.951698;
181 2.74033 0 0.483186; 182 3.5938 0 0; 183 3.5392 0 -0.624057;
184 3.37707 0 -1.22915; 185 3.11232 0 -1.7969; 186 2.75301 0 -2.31005;
187 2.31005 0 -2.75301; 188 1.7969 0 -3.11232; 189 1.22915 0 -3.37707;
190 0.624055 0 -3.5392; 191 -2.29916e-06 0 -3.5938;
192 -0.624059 0 -3.5392; 193 -1.22915 0 -3.37707;
194 -1.7969 0 -3.11232; 195 -2.31005 0 -2.75301;
196 -2.75301 0 -2.31005; 197 -3.11232 0 -1.7969;
198 -3.37707 0 -1.22915; 199 -3.5392 0 -0.624052;
200 -3.5938 0 4.59832e-06; 201 -3.5392 0 0.624062;
202 -3.37707 0 1.22916; 203 -3.11232 0 1.79691; 204 -2.75301 0 2.31005;
205 -2.31005 0 2.75301; 206 -1.79689 0 3.11233; 207 -1.22915 0 3.37707;
208 -0.62405 0 3.5392; 209 6.89749e-06 0 3.5938; 210 0.624063 0 3.5392;
211 1.22916 0 3.37706; 212 1.79691 0 3.11232; 213 2.31006 0 2.75301;
214 2.75302 0 2.31004; 215 3.11233 0 1.79689; 216 3.37707 0 1.22914;
217 3.5392 0 0.624048; 218 4.6416 0 0; 219 4.57108 0 -0.806006;
220 4.36168 0 -1.58752; 221 4.01974 0 -2.3208; 222 3.55567 0 -2.98356;
223 2.98356 0 -3.55567; 224 2.3208 0 -4.01974; 225 1.58752 0 -4.36168;
226 0.806003 0 -4.57108; 227 -2.9695e-06 0 -4.6416;
228 -0.806009 0 -4.57108; 229 -1.58752 0 -4.36168;
230 -2.3208 0 -4.01974; 231 -2.98357 0 -3.55567;
232 -3.55567 0 -2.98356; 233 -4.01975 0 -2.3208;
234 -4.36168 0 -1.58752; 235 -4.57108 0 -0.805999;
236 -4.6416 0 5.939e-06; 237 -4.57108 0 0.806012;
238 -4.36168 0 1.58753; 239 -4.01974 0 2.32081; 240 -3.55567 0 2.98357;
241 -2.98356 0 3.55568; 242 -2.32079 0 4.01975; 243 -1.58751 0 4.36168;
244 -0.805996 0 4.57109; 245 8.9085e-06 0 4.6416;
246 0.806014 0 4.57108; 247 1.58753 0 4.36167; 248 2.32081 0 4.01974;
249 2.98357 0 3.55567; 250 3.55568 0 2.98356; 251 4.01975 0 2.32079;
252 4.36168 0 1.58751; 253 4.57109 0 0.805994; 254 5.9948 0 0;
255 5.90373 0 -1.04099; 256 5.63327 0 -2.05034; 257 5.19165 0 -2.9974;
258 4.59228 0 -3.85338; 259 3.85338 0 -4.59228; 260 2.9974 0 -5.19165;
261 2.05034 0 -5.63327; 262 1.04098 0 -5.90373;
263 -3.83522e-06 0 -5.9948; 264 -1.04099 0 -5.90372;
265 -2.05035 0 -5.63327; 266 -2.99741 0 -5.19165;
267 -3.85339 0 -4.59228; 268 -4.59229 0 -3.85338;
269 -5.19165 0 -2.99739; 270 -5.63327 0 -2.05034;
271 -5.90373 0 -1.04098; 272 -5.9948 0 7.67044e-06;
273 -5.90372 0 1.04099; 274 -5.63327 0 2.05035; 275 -5.19164 0 2.99741;
276 -4.59228 0 3.85339; 277 -3.85338 0 4.59229; 278 -2.99739 0 5.19166;
279 -2.05033 0 5.63327; 280 -1.04097 0 5.90373;
281 1.15057e-05 0 5.9948; 282 1.041 0 5.90372; 283 2.05036 0 5.63326;
284 2.99741 0 5.19164; 285 3.85339 0 4.59227; 286 4.59229 0 3.85337;
287 5.19166 0 2.99739; 288 5.63327 0 2.05033; 289 5.90373 0 1.04097;
290 7.7426 0 0; 291 7.62497 0 -1.34449; 292 7.27566 0 -2.64813;
293 6.70529 0 -3.8713; 294 5.93117 0 -4.97685; 295 4.97685 0 -5.93118;
296 3.8713 0 -6.70529; 297 2.64812 0 -7.27567; 298 1.34448 0 -7.62497;
299 -4.95339e-06 0 -7.7426; 300 -1.34449 0 -7.62497;
301 -2.64813 0 -7.27566; 302 -3.87131 0 -6.70528;
303 -4.97685 0 -5.93117; 304 -5.93118 0 -4.97684;
305 -6.70529 0 -3.87129; 306 -7.27567 0 -2.64812;
307 -7.62497 0 -1.34448; 308 -7.7426 0 9.90678e-06;
309 -7.62497 0 1.3445; 310 -7.27566 0 2.64814; 311 -6.70528 0 3.87131;
312 -5.93117 0 4.97686; 313 -4.97684 0 5.93118; 314 -3.87129 0 6.7053;
315 -2.64811 0 7.27567; 316 -1.34447 0 7.62498;
317 1.48602e-05 0 7.7426; 318 1.3445 0 7.62497; 319 2.64814 0 7.27566;
320 3.87132 0 6.70528; 321 4.97686 0 5.93116; 322 5.93119 0 4.97683;
323 6.7053 0 3.87128; 324 7.27567 0 2.64811; 325 7.62498 0 1.34447;
326 10 0 0; 327 9.84808 0 -1.73648; 328 9.39693 0 -3.4202;
329 8.66025 0 -5; 330 7.66044 0 -6.42788; 331 6.42787 0 -7.66045;
332 5 0 -8.66026; 333 3.4202 0 -9.39693; 334 1.73648 0 -9.84808;
335 -6.39758e-06 0 -10; 336 -1.73649 0 -9.84808;
337 -3.42021 0 -9.39692; 338 -5.00001 0 -8.66025;
339 -6.42788 0 -7.66044; 340 -7.66045 0 -6.42787;
341 -8.66026 0 -4.99999; 342 -9.39693 0 -3.42019;
343 -9.84808 0 -1.73647; 344 -10 0 1.27952e-05; 345 -9.84807 0 1.7365;
346 -9.39692 0 3.42021; 347 -8.66025 0 5.00001; 348 -7.66043 0 6.42789;
349 -6.42786 0 7.66045; 350 -4.99998 0 8.66026; 351 -3.42018 0 9.39693;
352 -1.73646 0 9.84808; 353 1.91927e-05 0 10; 354 1.7365 0 9.84807;
355 3.42022 0 9.39692; 356 5.00002 0 8.66024; 357 6.42789 0 7.66043;
358 7.66046 0 6.42786; 359 8.66027 0 4.99998; 360 9.39694 0 3.42018;
361 9.84808 0 1.73646;
ELEMENT INCIDENCES SHELL
1 1 2 3; 2 1 3 4; 3 1 4 5; 4 1 5 6; 5 1 6 7; 6 1 7 8; 7 1 8 9; 8 1 9 10;
9 1 10 11; 10 1 11 12; 11 1 12 13; 12 1 13 14; 13 1 14 15; 14 1 15 16;
15 1 16 17; 16 1 17 18; 17 1 18 19; 18 1 19 20; 19 1 20 21; 20 1 21 22;
21 1 22 23; 22 1 23 24; 23 1 24 25; 24 1 25 26; 25 1 26 27; 26 1 27 28;
27 1 28 29; 28 1 29 30; 29 1 30 31; 30 1 31 32; 31 1 32 33; 32 1 33 34;
33 1 34 35; 34 1 35 36; 35 1 36 37; 36 1 37 2; 37 2 38 39 3;
38 3 39 40 4; 39 4 40 41 5; 40 5 41 42 6; 41 6 42 43 7; 42 7 43 44 8;
43 8 44 45 9; 44 9 45 46 10; 45 10 46 47 11; 46 11 47 48 12;
47 12 48 49 13; 48 13 49 50 14; 49 14 50 51 15; 50 15 51 52 16;
51 16 52 53 17; 52 17 53 54 18; 53 18 54 55 19; 54 19 55 56 20;
55 20 56 57 21; 56 21 57 58 22; 57 22 58 59 23; 58 23 59 60 24;
59 24 60 61 25; 60 25 61 62 26; 61 26 62 63 27; 62 27 63 64 28;
63 28 64 65 29; 64 29 65 66 30; 65 30 66 67 31; 66 31 67 68 32;
67 32 68 69 33; 68 33 69 70 34; 69 34 70 71 35; 70 35 71 72 36;
71 36 72 73 37; 72 37 73 38 2; 73 38 74 75 39; 74 39 75 76 40;
75 40 76 77 41; 76 41 77 78 42; 77 42 78 79 43; 78 43 79 80 44;
79 44 80 81 45; 80 45 81 82 46; 81 46 82 83 47; 82 47 83 84 48;
83 48 84 85 49; 84 49 85 86 50; 85 50 86 87 51; 86 51 87 88 52;
87 52 88 89 53; 88 53 89 90 54; 89 54 90 91 55; 90 55 91 92 56;
91 56 92 93 57; 92 57 93 94 58; 93 58 94 95 59; 94 59 95 96 60;
95 60 96 97 61; 96 61 97 98 62; 97 62 98 99 63; 98 63 99 100 64;
99 64 100 101 65; 100 65 101 102 66; 101 66 102 103 67;
102 67 103 104 68; 103 68 104 105 69; 104 69 105 106 70;
105 70 106 107 71; 106 71 107 108 72; 107 72 108 109 73;
108 73 109 74 38; 109 74 110 111 75; 110 75 111 112 76;
111 76 112 113 77; 112 77 113 114 78; 113 78 114 115 79;
114 79 115 116 80; 115 80 116 117 81; 116 81 117 118 82;
117 82 118 119 83; 118 83 119 120 84; 119 84 120 121 85;
120 85 121 122 86; 121 86 122 123 87; 122 87 123 124 88;
123 88 124 125 89; 124 89 125 126 90; 125 90 126 127 91;
126 91 127 128 92; 127 92 128 129 93; 128 93 129 130 94;
129 94 130 131 95; 130 95 131 132 96; 131 96 132 133 97;
132 97 133 134 98; 133 98 134 135 99; 134 99 135 136 100;
135 100 136 137 101; 136 101 137 138 102; 137 102 138 139 103;
138 103 139 140 104; 139 104 140 141 105; 140 105 141 142 106;
141 106 142 143 107; 142 107 143 144 108; 143 108 144 145 109;
144 109 145 110 74; 145 110 146 147 111; 146 111 147 148 112;
147 112 148 149 113; 148 113 149 150 114; 149 114 150 151 115;
150 115 151 152 116; 151 116 152 153 117; 152 117 153 154 118;
153 118 154 155 119; 154 119 155 156 120; 155 120 156 157 121;
156 121 157 158 122; 157 122 158 159 123; 158 123 159 160 124;
159 124 160 161 125; 160 125 161 162 126; 161 126 162 163 127;
162 127 163 164 128; 163 128 164 165 129; 164 129 165 166 130;
165 130 166 167 131; 166 131 167 168 132; 167 132 168 169 133;
168 133 169 170 134; 169 134 170 171 135; 170 135 171 172 136;
171 136 172 173 137; 172 137 173 174 138; 173 138 174 175 139;
174 139 175 176 140; 175 140 176 177 141; 176 141 177 178 142;
177 142 178 179 143; 178 143 179 180 144; 179 144 180 181 145;
180 145 181 146 110; 181 146 182 183 147; 182 147 183 184 148;
183 148 184 185 149; 184 149 185 186 150; 185 150 186 187 151;
186 151 187 188 152; 187 152 188 189 153; 188 153 189 190 154;
189 154 190 191 155; 190 155 191 192 156; 191 156 192 193 157;
192 157 193 194 158; 193 158 194 195 159; 194 159 195 196 160;
195 160 196 197 161; 196 161 197 198 162; 197 162 198 199 163;
198 163 199 200 164; 199 164 200 201 165; 200 165 201 202 166;
201 166 202 203 167; 202 167 203 204 168; 203 168 204 205 169;
204 169 205 206 170; 205 170 206 207 171; 206 171 207 208 172;
207 172 208 209 173; 208 173 209 210 174; 209 174 210 211 175;
210 175 211 212 176; 211 176 212 213 177; 212 177 213 214 178;
213 178 214 215 179; 214 179 215 216 180; 215 180 216 217 181;
216 181 217 182 146; 217 182 218 219 183; 218 183 219 220 184;
219 184 220 221 185; 220 185 221 222 186; 221 186 222 223 187;
222 187 223 224 188; 223 188 224 225 189; 224 189 225 226 190;
225 190 226 227 191; 226 191 227 228 192; 227 192 228 229 193;
228 193 229 230 194; 229 194 230 231 195; 230 195 231 232 196;
231 196 232 233 197; 232 197 233 234 198; 233 198 234 235 199;
234 199 235 236 200; 235 200 236 237 201; 236 201 237 238 202;
237 202 238 239 203; 238 203 239 240 204; 239 204 240 241 205;
240 205 241 242 206; 241 206 242 243 207; 242 207 243 244 208;
243 208 244 245 209; 244 209 245 246 210; 245 210 246 247 211;
246 211 247 248 212; 247 212 248 249 213; 248 213 249 250 214;
249 214 250 251 215; 250 215 251 252 216; 251 216 252 253 217;
252 217 253 218 182; 253 218 254 255 219; 254 219 255 256 220;
255 220 256 257 221; 256 221 257 258 222; 257 222 258 259 223;
258 223 259 260 224; 259 224 260 261 225; 260 225 261 262 226;
261 226 262 263 227; 262 227 263 264 228; 263 228 264 265 229;
264 229 265 266 230; 265 230 266 267 231; 266 231 267 268 232;
267 232 268 269 233; 268 233 269 270 234; 269 234 270 271 235;
270 235 271 272 236; 271 236 272 273 237; 272 237 273 274 238;
273 238 274 275 239; 274 239 275 276 240; 275 240 276 277 241;
276 241 277 278 242; 277 242 278 279 243; 278 243 279 280 244;
279 244 280 281 245; 280 245 281 282 246; 281 246 282 283 247;
282 247 283 284 248; 283 248 284 285 249; 284 249 285 286 250;
285 250 286 287 251; 286 251 287 288 252; 287 252 288 289 253;
288 253 289 254 218; 289 254 290 291 255; 290 255 291 292 256;
291 256 292 293 257; 292 257 293 294 258; 293 258 294 295 259;
294 259 295 296 260; 295 260 296 297 261; 296 261 297 298 262;
297 262 298 299 263; 298 263 299 300 264; 299 264 300 301 265;
300 265 301 302 266; 301 266 302 303 267; 302 267 303 304 268;
303 268 304 305 269; 304 269 305 306 270; 305 270 306 307 271;
306 271 307 308 272; 307 272 308 309 273; 308 273 309 310 274;
309 274 310 311 275; 310 275 311 312 276; 311 276 312 313 277;
312 277 313 314 278; 313 278 314 315 279; 314 279 315 316 280;
315 280 316 317 281; 316 281 317 318 282; 317 282 318 319 283;
318 283 319 320 284; 319 284 320 321 285; 320 285 321 322 286;
321 286 322 323 287; 322 287 323 324 288; 323 288 324 325 289;
324 289 325 290 254; 325 290 326 327 291; 326 291 327 328 292;
327 292 328 329 293; 328 293 329 330 294; 329 294 330 331 295;
330 295 331 332 296; 331 296 332 333 297; 332 297 333 334 298;
333 298 334 335 299; 334 299 335 336 300; 335 300 336 337 301;
336 301 337 338 302; 337 302 338 339 303; 338 303 339 340 304;
339 304 340 341 305; 340 305 341 342 306; 341 306 342 343 307;
342 307 343 344 308; 343 308 344 345 309; 344 309 345 346 310;
345 310 346 347 311; 346 311 347 348 312; 347 312 348 349 313;
348 313 349 350 314; 349 314 350 351 315; 350 315 351 352 316;
351 316 352 353 317; 352 317 353 354 318; 353 318 354 355 319;
354 319 355 356 320; 355 320 356 357 321; 356 321 357 358 322;
357 322 358 359 323; 358 323 359 360 324; 359 324 360 361 325;
360 325 361 326 290;
ELEMENT PROPERTY
1 TO 360 THICKNESS 0.02
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 1e+07
POISSON 0.3
END DEFINE MATERIAL
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
326 TO 361 FIXED
LOAD 1 UNIFORM PRESSURE
ELEMENT LOAD
1 TO 360 PR 0.1
PERFORM ANALYSIS
PRINT JOINT DISPLACEMENTS LIST 1
PRINT ELEMENT JOINT STRESSES LIST 1
PRINT SUPPORT REACTION LIST 326
FINISH
``````

STAAD Output

```   JOINT DISPLACEMENT (INCH RADIANS)    STRUCTURE TYPE = SPACE
------------------
JOINT  LOAD   X-TRANS   Y-TRANS   Z-TRANS   X-ROTAN   Y-ROTAN   Z-ROTAN
1    1    0.00000   2.16005   0.00000   0.00000   0.00000   0.00000
************** END OF LATEST ANALYSIS RESULT **************
277. PRINT ELEMENT JOINT STRESSES LIST 1
ELEMENT  JOINT    STRESSES LIST
:UNIFORM PRESSURE ON A FIXED CIRCULAR PLATE              -- PAGE NO.    8
ELEMENT STRESSES    FORCE,LENGTH UNITS= POUN INCH
----------------
STRESS = FORCE/UNIT WIDTH/THICK, MOMENT = FORCE-LENGTH/UNIT WIDTH
ELEMENT  LOAD       SQX        SQY          MX          MY          MXY
VONT       VONB         SX          SY          SXY
TRESCAT    TRESCAB
1      1        -1.48       -2.18        0.83        0.83        0.00
12399.08    12399.08        0.00        0.00        0.00
12399.08    12399.08
TOP : SMAX=   12399.08 SMIN=   12399.07 TMAX=       0.00 ANGLE= 90.0
BOTT: SMAX=  -12399.07 SMIN=  -12399.08 TMAX=       0.00 ANGLE= 90.0
JOINT        -1.48       -2.18        0.85        0.83        0.00
1      12566.42    12566.42        0.00        0.00        0.00
TOP : SMAX=   12692.08 SMIN=   12436.87 TMAX=     127.61 ANGLE=  0.0
BOTT: SMAX=  -12436.87 SMIN=  -12692.08 TMAX=     127.61 ANGLE=-90.0
JOINT        -1.48       -2.18        0.82        0.83        0.00
2      12344.11    12344.11        0.00        0.00        0.00
TOP : SMAX=   12436.87 SMIN=   12249.21 TMAX=      93.83 ANGLE= 90.0
BOTT: SMAX=  -12249.21 SMIN=  -12436.87 TMAX=      93.83 ANGLE= -0.0
JOINT        -1.48       -2.18        0.82        0.82        0.00
3      12289.85    12289.85        0.00        0.00        0.00
TOP : SMAX=   12323.49 SMIN=   12255.94 TMAX=      33.78 ANGLE= 90.0
BOTT: SMAX=  -12255.94 SMIN=  -12323.49 TMAX=      33.78 ANGLE= -0.0
**** MAXIMUM STRESSES AMONG SELECTED PLATES AND CASES ****
MAXIMUM       MINIMUM       MAXIMUM       MAXIMUM       MAXIMUM
PRINCIPAL     PRINCIPAL       SHEAR       VONMISES       TRESCA
STRESS        STRESS        STRESS        STRESS        STRESS
1.269208E+04 -1.269208E+04  1.276060E+02  1.239908E+04  1.239908E+04
PLATE NO.       1             1             1             1             1
CASE  NO.       1             1             1             1             1
********************END OF ELEMENT FORCES********************
278. PRINT SUPPORT REACTION LIST 326
SUPPORT  REACTION LIST     326
:UNIFORM PRESSURE ON A FIXED CIRCULAR PLATE              -- PAGE NO.    9
SUPPORT REACTIONS -UNIT POUN INCH    STRUCTURE TYPE = SPACE
-----------------
JOINT  LOAD   FORCE-X   FORCE-Y   FORCE-Z     MOM-X     MOM-Y     MOM Z
326    1      0.00     -0.87      0.00     -0.01      0.00      2.15
************** END OF LATEST ANALYSIS RESULT **************
```