Реферат: Расчёт балки (с шарниром) на прочность
Задача
Рассчитать балку на прочность
1.<span Times New Roman"">
Визначаємо реакції балки (мал.а).<img src="/cache/referats/4572/image002.gif" v:shapes="_x0000_i1025">
<img src="/cache/referats/4572/image004.gif" v:shapes="_x0000_i1026">
<img src="/cache/referats/4572/image006.gif" v:shapes="_x0000_i1027">
<img src="/cache/referats/4572/image008.gif" v:shapes="_x0000_i1028">
<img src="/cache/referats/4572/image010.gif" v:shapes="_x0000_i1029">
<img src="/cache/referats/4572/image012.gif" v:shapes="_x0000_i1030">
<img src="/cache/referats/4572/image014.gif" v:shapes="_x0000_i1031">
2.<span Times New Roman"">
Розбиваємо балку на ділянки1,2,3,4.Накожній з них обчислюємо поперечні сили Q(мал. б) і згинальні моменти М (мал. в).
1ділянка, переріз 1-1, 0<X<4
<img src="/cache/referats/4572/image016.gif" v:shapes="_x0000_i1032">
<img src="/cache/referats/4572/image018.gif" v:shapes="_x0000_i1033">
<img src="/cache/referats/4572/image020.gif" v:shapes="_x0000_i1034">
Ізепюри Qна 1 ділянці бачимо, що тутмає місце додатковий переріз Х=Х0=?
Q(X0)=0, а отже М(Х0)=Меxtr.Знайдемо положення цього перерізу.
<img src="/cache/referats/4572/image022.gif" v:shapes="_x0000_i1035">
<img src="/cache/referats/4572/image024.gif" v:shapes="_x0000_i1036">
<img src="/cache/referats/4572/image026.gif" v:shapes="_x0000_i1037">
<img src="/cache/referats/4572/image028.gif" v:shapes="_x0000_i1038">
<img src="/cache/referats/4572/image030.gif" v:shapes="_x0000_i1039">
2 ділянка,переріз 2-2, 4<X<9
<img src="/cache/referats/4572/image032.gif" v:shapes="_x0000_i1040">
<img src="/cache/referats/4572/image034.gif" v:shapes="_x0000_i1041">
<img src="/cache/referats/4572/image036.gif" v:shapes="_x0000_i1042">
<img src="/cache/referats/4572/image038.gif" v:shapes="_x0000_i1043">
3ділянка, переріз 3-3, 9<X<13
<img src="/cache/referats/4572/image040.gif" v:shapes="_x0000_i1044">
<img src="/cache/referats/4572/image042.gif" v:shapes="_x0000_i1045">
<img src="/cache/referats/4572/image044.gif" v:shapes="_x0000_i1046">
Ізепюри Qна 2 ділянці бачимо, що тутмає місце додатковий переріз Х=Х0=?
Q(X0)=0, а отже М(Х0)=Меxtr.Знайдемо положення цього перерізу.
<img src="/cache/referats/4572/image046.gif" v:shapes="_x0000_i1047">
<img src="/cache/referats/4572/image048.gif" v:shapes="_x0000_i1048">
<img src="/cache/referats/4572/image050.gif" v:shapes="_x0000_i1049">
<img src="/cache/referats/4572/image052.gif" v:shapes="_x0000_i1050">
<img src="/cache/referats/4572/image054.gif" v:shapes="_x0000_i1051">
4ділянка, переріз 4-4, 13<X<18
<img src="/cache/referats/4572/image056.gif" v:shapes="_x0000_i1052">
<img src="/cache/referats/4572/image058.gif" v:shapes="_x0000_i1053">
<img src="/cache/referats/4572/image060.gif" v:shapes="_x0000_i1054">
<img src="/cache/referats/4572/image062.gif" v:shapes="_x0000_i1055">
<img src="/cache/referats/4572/image064.gif" v:shapes="_x0000_i1056">
<img src="/cache/referats/4572/image066.gif" v:shapes="_x0000_i1057">
<img src="/cache/referats/4572/image067.gif" v:shapes="_x0000_s1228"><img src="/cache/referats/4572/image068.gif" v:shapes="_x0000_s1238"><img src="/cache/referats/4572/image069.gif" v:shapes="_x0000_s1230"><img src="/cache/referats/4572/image068.gif" v:shapes="_x0000_s1231"><img src="/cache/referats/4572/image070.gif" v:shapes="_x0000_s1229"> а=4 c=5 b=4 c=5
<img src="/cache/referats/4572/image071.gif" v:shapes="_x0000_s1153 _x0000_s1154 _x0000_s1155 _x0000_s1156 _x0000_s1157">
<img src="/cache/referats/4572/image072.gif" v:shapes="_x0000_s1174"><img src="/cache/referats/4572/image073.gif" v:shapes="_x0000_s1173"><img src="/cache/referats/4572/image074.gif" v:shapes="_x0000_s1172"><img src="/cache/referats/4572/image076.gif" v:shapes="_x0000_s1171"><img src="/cache/referats/4572/image077.gif" v:shapes="_x0000_s1170"><img src="/cache/referats/4572/image078.gif" v:shapes="_x0000_s1169"><img src="/cache/referats/4572/image079.gif" v:shapes="_x0000_s1168"><img src="/cache/referats/4572/image080.gif" v:shapes="_x0000_s1167"><img src="/cache/referats/4572/image081.gif" v:shapes="_x0000_s1166"><img src="/cache/referats/4572/image082.gif" v:shapes="_x0000_s1165"><img src="/cache/referats/4572/image083.gif" v:shapes="_x0000_s1164"><img src="/cache/referats/4572/image084.gif" v:shapes="_x0000_s1163"><img src="/cache/referats/4572/image076.gif" v:shapes="_x0000_s1162"><img src="/cache/referats/4572/image086.gif" v:shapes="_x0000_s1161"><img src="/cache/referats/4572/image087.gif" v:shapes="_x0000_s1160"><img src="/cache/referats/4572/image088.gif" v:shapes="_x0000_s1159"> RA=17,22 кН P1=15кН RB=-52,22 кН
q1=10кН/м
<img src="/cache/referats/4572/image089.gif" v:shapes="_x0000_s1175"> q2=10 кН/м
<img src="/cache/referats/4572/image090.gif" v:shapes="_x0000_s1177"> <img src="/cache/referats/4572/image091.gif" v:shapes="_x0000_s1158">
<img src="/cache/referats/4572/image092.gif" v:shapes="_x0000_s1270"><img src="/cache/referats/4572/image093.gif" v:shapes="_x0000_s1184"><img src="/cache/referats/4572/image094.gif" v:shapes="_x0000_s1182"><img src="/cache/referats/4572/image095.gif" v:shapes="_x0000_s1180"><img src="/cache/referats/4572/image096.gif" v:shapes="_x0000_s1186"><img src="/cache/referats/4572/image097.gif" v:shapes="_x0000_s1176"> A B
<img src="/cache/referats/4572/image074.gif" v:shapes="_x0000_s1178"> Мал. а).
Х0=1,72 м
<img src="/cache/referats/4572/image098.gif" v:shapes="_x0000_s1271 _x0000_s1272 _x0000_s1273">
Х<img src="/cache/referats/4572/image099.gif" v:shapes="_x0000_s1179">
<img src="/cache/referats/4572/image100.gif" v:shapes="_x0000_s1181"> Х
Х0=11,27 м
<img src="/cache/referats/4572/image101.gif" v:shapes="_x0000_s1187"> Х
<img src="/cache/referats/4572/image102.gif" v:shapes="_x0000_s1183"> Х
<img src="/cache/referats/4572/image103.gif" v:shapes="_x0000_s1185">
2,22
<img src="/cache/referats/4572/image104.gif" v:shapes="_x0000_s1152"><img src="/cache/referats/4572/image106.gif" v:shapes="_x0000_s1188 _x0000_s1189 _x0000_s1190 _x0000_s1191 _x0000_s1192 _x0000_s1193 _x0000_s1194 _x0000_s1195 _x0000_s1196 _x0000_s1197 _x0000_s1198 _x0000_s1199 _x0000_s1200 _x0000_s1201 _x0000_s1202 _x0000_s1203 _x0000_s1204 _x0000_s1205 _x0000_s1206 _x0000_s1207 _x0000_s1208 _x0000_s1209 _x0000_s1210 _x0000_s1211 _x0000_s1212 _x0000_s1213 _x0000_s1214 _x0000_s1215 _x0000_s1216 _x0000_s1217 _x0000_s1218 _x0000_s1219 _x0000_s1220"> 52,22Мал. б).
<img src="/cache/referats/4572/image107.gif" v:shapes="_x0000_s1221">
25 кН
<img src="/cache/referats/4572/image108.gif" v:shapes="_x0000_s1222 _x0000_s1223 _x0000_s1224 _x0000_s1225 _x0000_s1226 _x0000_s1227"> 17,22 17,22Епюра Q кН
22,78 22,78
<div v:shape="_x0000_s1263">
11,12
<img src="/cache/referats/4572/image109.gif" v:shapes="_x0000_s1233"><div v:shape="_x0000_s1260">Мал. в).
Епюра М кН м
20 кН м
<img src="/cache/referats/4572/image110.gif" v:shapes="_x0000_s1264 _x0000_s1265 _x0000_s1266 _x0000_s1267 _x0000_s1268 _x0000_s1269"><div v:shape="_x0000_s1262">136,14
<div v:shape="_x0000_s1261">125,02
<img src="/cache/referats/4572/image111.gif" v:shapes="_x0000_s1150"> <img src="/cache/referats/4572/image112.gif" v:shapes="_x0000_s1151"><img src="/cache/referats/4572/image113.gif" v:shapes="_x0000_s1259"><img src="/cache/referats/4572/image114.gif" v:shapes="_x0000_s1251 _x0000_s1252 _x0000_s1253"><img src="/cache/referats/4572/image115.gif" v:shapes="_x0000_s1248 _x0000_s1249 _x0000_s1250"><img src="/cache/referats/4572/image116.gif" v:shapes="_x0000_s1254 _x0000_s1255 _x0000_s1256 _x0000_s1257 _x0000_s1258"><img src="/cache/referats/4572/image117.gif" v:shapes="_x0000_s1242 _x0000_s1243 _x0000_s1244"><img src="/cache/referats/4572/image118.gif" v:shapes="_x0000_s1245 _x0000_s1246 _x0000_s1247"><img src="/cache/referats/4572/image119.gif" v:shapes="_x0000_s1239"><img src="/cache/referats/4572/image120.gif" v:shapes="_x0000_s1241"><img src="/cache/referats/4572/image121.gif" v:shapes="_x0000_s1240"> <img src="/cache/referats/4572/image123.jpg" v:shapes="_x0000_s1232"><img src="/cache/referats/4572/image088.gif" v:shapes="_x0000_s1237"><img src="/cache/referats/4572/image109.gif" v:shapes="_x0000_s1236"><img src="/cache/referats/4572/image124.gif" v:shapes="_x0000_s1235"><img src="/cache/referats/4572/image125.gif" v:shapes="_x0000_s1234"> 22,78 22,78