Константинов Н.А., Лалин В.В., Лалина И.И. - Расчёт статически определимых стержневых систем с использованием SCAD (1061793), страница 38
Текст из файла (страница 38)
ɉɨɫɬɪɨɟɧɢɟ ɷɩɸɪ M ɢ Q ɜ ɦɧɨɝɨɩɪɨɥɟɬɧɨɣ ɲɚɪɧɢɪɧɨɣ ɛɚɥɤɟ……….. …….2. ɉɨɫɬɪɨɟɧɢɟ ɷɩɸɪ M , Q, N ɜ ɪɚɦɟ……………………………………………….2273. ɉɨɫɬɪɨɟɧɢɟ ɷɩɸɪ M , Q, N ɜ ɚɪɤɟ..………………………………………………2354. Ɉɩɪɟɞɟɥɟɧɢɟ ɩɪɨɞɨɥɶɧɵɯ ɭɫɢɥɢɣ N ɜ ɫɬɟɪɠɧɹɯ ɮɟɪɦɵ………………………236225ɉɊȿȾɂɋɅɈȼɂȿɉɟɪɜɵɣ ɫɛɨɪɧɢɤ ɭɱɟɛɧɵɯ ɡɚɞɚɧɢɣ ɩɨ ɞɢɫɰɢɩɥɢɧɟ «ɋɬɪɨɢɬɟɥɶɧɚɹ ɦɟɯɚɧɢɤɚ» ɧɚɤɚɮɟɞɪɟ «ɋɬɪɨɢɬɟɥɶɧɚɹ ɦɟɯɚɧɢɤɚ ɢ ɬɟɨɪɢɹ ɭɩɪɭɝɨɫɬɢ» ɛɵɥ ɢɡɞɚɧ ɜ 1981 ɝ. [18]. Ɉɧɢɫɩɨɥɶɡɭɟɬɫɹ ɜ ɭɱɟɛɧɨɦ ɩɪɨɰɟɫɫɟ ɞɨ ɧɚɫɬɨɹɳɟɝɨ ɜɪɟɦɟɧɢ.Ɉɞɧɚɤɨ ɜ ɫɜɹɡɢ ɫ ɜɧɟɞɪɟɧɢɟɦ ɜ ɭɱɟɛɧɵɣ ɩɪɨɰɟɫɫ ɩɟɪɫɨɧɚɥɶɧɵɯ ɤɨɦɩɶɸɬɟɪɨɜ(ɉɄ) ɢ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɞɥɹ ɪɟɲɟɧɢɹ ɭɱɟɛɧɵɯ ɡɚɞɚɱ ɩɨ ɫɬɪɨɢɬɟɥɶɧɨɣ ɦɟɯɚɧɢɤɟɩɪɨɝɪɚɦɦɵ SCAD [1-5] ɩɨɫɬɚɧɨɜɤɚ ɢ ɦɟɬɨɞɢɤɚ ɜɵɩɨɥɧɟɧɢɹ ɩɪɢɜɟɞɟɧɧɵɯ ɜ ɫɛɨɪɧɢɤɟɡɚɞɚɧɢɣ [18] ɢɡɦɟɧɢɥɚɫɶ.ɗɬɢ ɢɡɦɟɧɟɧɢɹ ɞɥɹ ɫɬɭɞɟɧɬɨɜ ɫɩɟɰɢɚɥɶɧɨɫɬɢ ɉȽɋ ɨɬɪɚɠɟɧɵ ɜ ɧɨɜɨɦ ɫɛɨɪɧɢɤɟɡɚɞɚɧɢɣ [6].
ɉɪɢ ɷɬɨɦ ɜ ɩɪɢɜɨɞɢɦɨɦ ɡɞɟɫɶ ɟɝɨ ɪɚɡɞɟɥɟ, ɩɨɫɜɹɳɟɧɧɨɦ cɬɚɬɢɱɟɫɤɢɨɩɪɟɞɟɥɢɦɵɦ ɫɬɟɪɠɧɟɜɵɦ ɫɢɫɬɟɦɚɦ, ɪɚɫɱɟɬɧɵɟ ɫɯɟɦɵ ɲɚɪɧɢɪɧɵɯ ɛɚɥɨɤ, ɪɚɦ ɢ ɚɪɨɤɜɡɹɬɵ ɢɡ ɩɟɪɜɨɝɨ ɫɛɨɪɧɢɤɚ [18]. ɂɡɦɟɧɟɧɢɹ ɫɞɟɥɚɧɵ ɜ ɩɨɫɬɚɧɨɜɤɟ ɡɚɞɚɧɢɣ ɢ ɜɦɟɬɨɞɢɱɟɫɤɢɯ ɭɤɚɡɚɧɢɹɯ ɩɨ ɢɯ ɜɵɩɨɥɧɟɧɢɸ.Ɂɚɞɚɧɢɹ ɩɨ ɪɚɫɱɟɬɭ ɮɟɪɦ ɢ ɜɫɟ ɡɚɞɚɧɢɹ ɜ ɪɚɡɞɟɥɟ, ɩɨɫɜɹɳɟɧɧɨɦ ɫɬɚɬɢɱɟɫɤɢɧɟɨɩɪɟɞɟɥɢɦɵɦ ɫɬɟɪɠɧɟɜɵɦ ɫɢɫɬɟɦɚɦ, ɫɨɫɬɚɜɥɟɧɵ ɡɚɧɨɜɨ.Ʉɪɨɦɟ ɡɚɞɚɧɢɣ ɩɨ ɪɚɫɱɟɬɧɵɦ ɪɚɛɨɬɚɦ, ɜ ɩɪɢɜɨɞɢɦɨɣ ɡɞɟɫɶ ɱɚɫɬɢ ɫɛɨɪɧɢɤɚɩɪɢɜɟɞɟɧɵ ɬɚɤɠɟ ɪɚɫɱɟɬɧɵɟ ɫɯɟɦɵ ɩɪɨɫɬɟɣɲɢɯ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦ, ɩɪɟɞɧɚɡɧɚɱɟɧɧɵɟɞɥɹ ɤɨɧɬɪɨɥɶɧɵɯ ɪɚɛɨɬ ɢ ɛɵɫɬɪɨɣ ɤɨɧɬɪɨɥɶɧɨɣ ɩɪɨɜɟɪɤɢ ɡɧɚɧɢɣ ɢ ɭɦɟɧɢɣ ɫɬɭɞɟɧɬɚɩɨ ɞɢɫɰɢɩɥɢɧɟ «ɋɬɪɨɢɬɟɥɶɧɚɹ ɦɟɯɚɧɢɤɚ».ɉɪɢɜɟɞɟɧɵ ɬɚɤɠɟ ɜɨɩɪɨɫɵ ɞɥɹ ɩɨɞɝɨɬɨɜɤɢ ɭɱɚɳɢɯɫɹ ɤ ɡɚɱɟɬɚɦ ɢ ɷɤɡɚɦɟɧɚɦ ɩɨɪɚɡɞɟɥɭ «Ɋɚɫɱɟɬ ɫɬɚɬɢɱɟɫɤɢ ɨɩɪɟɞɟɥɢɦɵɯ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦ».ɋɛɨɪɧɢɤ ɡɚɞɚɧɢɣ ɢ ɡɚɞɚɱ [6] ɢɦɟɟɬɫɹ ɬɚɤɠɟ ɜ ɍɆɄ [21] ɢ ɜ ɷɥɟɤɬɪɨɧɧɨɦ ɜɢɞɟ ɜɥɨɤɚɥɶɧɵɯ ɫɟɬɹɯ ɭɱɟɛɧɵɯ ɤɥɚɫɫɨɜ ɉɄ ɤɚɮɟɞɪɵ «ɋɬɪɨɢɬɟɥɶɧɚɹ ɦɟɯɚɧɢɤɚ ɢ ɬɟɨɪɢɹɭɩɪɭɝɨɫɬɢ» ɢ Ɍɍ) ɢ ɨɬɞɟɥɟɧɢɹ «ɗɧɟɪɝɟɬɢɱɟɫɤɢɟ, ɩɪɨɦɵɲɥɟɧɧɵɟ ɢ ɝɪɚɠɞɚɧɫɤɢɟɫɨɨɪɭɠɟɧɢɹ» (ɗ ɢ ɉȽɋ) ɤɚɮɟɞɪɵ «Ƚɪɚɠɞɚɧɫɤɨɟ ɫɬɪɨɢɬɟɥɶɫɬɜɨ ɢ ɩɪɢɤɥɚɞɧɚɹɷɤɨɥɨɝɢɹ» (Ƚɋ ɢ ɉɗ) ɚ ɬɚɤɠɟ ɧɚ ɫɚɣɬɟ http://smitu,cef.spbstu.ru ɤɚɮɟɞɪɵ ɋɆ ɢ Ɍɍ.ɇɚ ɫɚɣɬɟ ɨɧ ɧɚɯɨɞɢɬɫɹ ɜ ɭɱɟɛɧɨ-ɦɟɬɨɞɢɱɟɫɤɨɦ ɤɨɦɩɥɟɤɫɟ (ɍɆɄ) ɩɨɩɪɢɦɟɧɟɧɢɸ ɩɪɨɝɪɚɦɦɵ SCAD ɜ ɭɱɟɛɧɨɦ ɩɪɨɰɟɫɫɟ ɩɨ ɞɢɫɰɢɩɥɢɧɟ «ɋɬɪɨɢɬɟɥɶɧɚɹɦɟɯɚɧɢɤɚ».ɉɪɢɦɟɪɵ ɨɮɨɪɦɥɟɧɢɹ ɨɬɱɟɬɨɜ ɩɨ ɭɤɚɡɚɧɧɵɦ ɜɵɲɟ ɜ ɨɝɥɚɜɥɟɧɢɢ ɪɚɫɱɟɬɧɵɦɪɚɛɨɬɚɦ ɞɥɹ ɫɬɚɬɢɱɟɫɤɢ ɨɩɪɟɞɟɥɢɦɵɯ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫɬɪɟɛɨɜɚɧɢɹɦɢ, ɭɤɚɡɚɧɧɵɦɢ ɜ ɡɚɞɚɧɢɹɯ ɤ ɪɚɛɨɬɚɦ, ɩɪɢɜɟɞɟɧɵ ɜ ɭɱɟɛɧɨɦ ɩɨɫɨɛɢɟ [4], ɜɍɆɄ [21] ɢ ɧɚ ɭɤɚɡɚɧɧɨɦ ɜɵɲɟ ɫɚɣɬɟ ɤɚɮɟɞɪɵ ɋɆ ɢ Ɍɍ.Ʉɪɚɬɤɢɟ ɦɟɬɨɞɢɱɟɫɤɢɬɟ ɭɤɚɡɚɧɢɹ ɩɨ ɨɮɨɪɦɥɟɧɢɸ ɨɬɱɟɬɨɜ ɩɨ ɪɚɫɱɟɬɧɵɦɪɚɛɨɬɚɦ ɞɚɧɵ ɬɚɤɠɟ ɜ ɪɚɡɞɟɥɚɯ 7 – 11 ɩɨɫɨɛɢɹ.226ɊȺɋɑȿɌɇɕȿ ɊȺȻɈɌɕ ɉɈ ɉɈɋɌɊɈȿɇɂɘ ɗɉɘɊ ɍɋɂɅɂɃ ȼɋɌȺɌɂɑȿɋɄɂ ɈɉɊȿȾȿɅɂɆɕɏ ɋɌȿɊɀɇȿȼɕɏ ɋɂɋɌȿɆȺɏ1.
ɉɈɋɌɊɈȿɇɂȿ ɗɉɘɊ M, Qȼ ɆɇɈȽɈɉɊɈɅȿɌɇɈɃ ɒȺɊɇɂɊɇɈɃ ȻȺɅɄȿȾɥɹ ɪɚɫɱɟɬɚ ɡɚɞɚɧɚ ɛɚɥɤɚ, ɫɯɟɦɚ ɤɨɬɨɪɨɣ ɜɵɛɢɪɚɟɬɫɹ (ɬɚɛɥ. 1) ɜɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɞɜɭɦɹ ɩɟɪɜɵɦɢ ɰɢɮɪɚɦ ɲɢɮɪɚ ABCD, ɜɵɞɚɧɧɨɝɨ ɫɬɭɞɟɧɬɭɩɪɟɩɨɞɚɜɚɬɟɥɟɦ. Ɋɚɡɦɟɪɵ ɛɚɥɤɢ, ɫɯɟɦɚ ɟɟ ɡɚɝɪɭɠɟɧɢɹ ɢ ɡɧɚɱɟɧɢɹ ɧɚɝɪɭɡɨɤɨɩɪɟɞɟɥɹɸɬɫɹ ɩɨ ɞɚɧɧɵɦ ɬɚɛɥ. 2 ɢ 3.Ɍɪɟɛɭɟɬɫɹ:1.
ɉɨɫɬɪɨɢɬɶ ɷɩɸɪɵ ɭɫɢɥɢɣ M ɢ Q ɜ ɛɚɥɤɟ ɪɚɫɱɟɬɨɦ ɆɄɗ ɧɚ ɉɄ ɫɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɩɪɨɝɪɚɦɦɵ SCAD ɢ ɩɨ ɷɩɸɪɚɦ ɭɫɢɥɢɣ ɨɩɪɟɞɟɥɢɬɶ ɨɩɨɪɧɵɟɪɟɚɤɰɢɢ ɛɚɥɤɢ.2. ȼɵɩɨɥɧɢɬɶ ɤɨɧɬɪɨɥɶ ɪɟɡɭɥɶɬɚɬɨɜ ɪɚɫɱɟɬɚ ɧɚ ɉɄ ɩɨ ɩɪɢɡɧɚɤɚɦɩɪɚɜɢɥɶɧɵɯ ɷɩɸɪ ɢ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɜɪɭɱɧɭɸ ɭɪɚɜɧɟɧɢɣ ɪɚɜɧɨɜɟɫɢɹ.Ɇɟɬɨɞɢɱɟɫɤɢɟ ɭɤɚɡɚɧɢɹ ɩɨ ɜɵɩɨɥɧɟɧɢɸ ɪɚɛɨɬɵ ɢ ɨɮɨɪɦɥɟɧɢɸ ɨɬɱɟɬɚ ɩɨ ɪɚɛɨɬɟ.x Ɋɚɫɱɟɬ ɜɵɩɨɥɧɢɬɶ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɩɪɢɜɟɞɟɧɧɵɦ ɜ ɪɚɡɞɟɥɟ 7 ɩɪɢɦɟɪɨɦ.x Ⱦɥɹ ɨɮɨɪɦɥɟɧɢɹ ɨɬɱɟɬɚ ɩɨ ɪɚɛɨɬɟ ɢɫɩɨɥɶɡɨɜɚɬɶ ɦɟɬɨɞɢɱɟɫɤɢɟ ɪɟɤɨɦɟɧɞɚɰɢɢ,ɩɪɢɜɟɞɟɧɧɵɟ ɜ ɤɨɧɰɟ ɩɪɢɦɟɪɚ.x Ɍɢɬɭɥɶɧɭɸ ɫɬɪɚɧɢɰɭ ɨɬɱɟɬɚ ɩɪɟɞɫɬɚɜɢɬɶ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɨɛɪɚɡɰɚ, ɩɪɢɜɟɞɟɧɧɨɝɨ ɜɤɨɧɰɟ ɞɚɧɧɨɝɨ ɩɪɢɥɨɠɟɧɢɹ 1 (ɫ. 240).2.
ɉɈɋɌɊɈȿɇɂȿ ɗɉɘɊ M, Q, N ȼ ɊȺɆȿȾɥɹ ɪɚɫɱɟɬɚ ɡɚɞɚɧɚ ɪɚɦɚ, ɫɯɟɦɚ ɤɨɬɨɪɨɣ ɜɵɛɢɪɚɟɬɫɹ (ɬɚɛɥ. 4) ɜɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɞɜɭɦɹ ɩɟɪɜɵɦɢ ɰɢɮɪɚɦ ɲɢɮɪɚ ABCD, ɜɵɞɚɧɧɨɝɨ ɫɬɭɞɟɧɬɭɩɪɟɩɨɞɚɜɚɬɟɥɟɦ. Ɋɚɡɦɟɪɵ ɪɚɦɵ (ɬɚɛɥ.5) ɜɵɛɢɪɚɸɬɫɹ ɩɨ ɩɨɫɥɟɞɧɟɣ ɰɢɮɪɟ ɋɲɢɮɪɚ. ɋɯɟɦɚ ɡɚɝɪɭɠɟɧɢɹ ɪɚɦɵ (ɬɚɛɥ. 4) ɢɡɨɛɪɚɠɚɟɬɫɹ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫɧɚɝɪɭɡɤɚɦɢ, ɡɧɚɱɟɧɢɹ ɤɨɬɨɪɵɯ ɨɩɪɟɞɟɥɹɸɬɫɹ ɩɨ ɰɢɮɪɟ D ɲɢɮɪɚ (ɬɚɛɥ.
5).Ɍɪɟɛɭɟɬɫɹ:1. ɉɨɫɬɪɨɢɬɶ ɷɩɸɪɵ ɭɫɢɥɢɣ M, Q, N ɜ ɪɚɦɟ ɪɚɫɱɟɬɨɦ ɆɄɗ ɧɚ ɉɄ ɫɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɩɪɨɝɪɚɦɦɵ SCAD ɢ ɩɨ ɷɩɸɪɚɦ ɭɫɢɥɢɣ ɨɩɪɟɞɟɥɢɬɶ ɨɩɨɪɧɵɟɪɟɚɤɰɢɢ ɪɚɦɵ.2. ȼɵɩɨɥɧɢɬɶ ɤɨɧɬɪɨɥɶ ɪɟɡɭɥɶɬɚɬɨɜ ɪɚɫɱɟɬɚ ɧɚ ɉɄ ɩɨ ɩɪɢɡɧɚɤɚɦɩɪɚɜɢɥɶɧɵɯ ɷɩɸɪ ɢ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɜɪɭɱɧɭɸ ɭɪɚɜɧɟɧɢɣ ɪɚɜɧɨɜɟɫɢɹ.Ɇɟɬɨɞɢɱɟɫɤɢɟ ɭɤɚɡɚɧɢɹ ɩɨ ɜɵɩɨɥɧɟɧɢɸ ɪɚɛɨɬɵ ɢ ɨɮɨɪɦɥɟɧɢɸ ɨɬɱɟɬɚ ɩɨ ɪɚɛɨɬɟ.x Ɉɧɢ ɚɧɚɥɨɝɢɱɧɵ ɭɤɚɡɚɧɢɹɦ, ɞɚɧɧɵɦ ɜ ɡɚɞɚɧɢɢ 1, ɧɨ ɨɬɧɨɫɹɬɫɹ ɤ ɪɚɡɞɟɥɭ 8.227Ɍɚɛɥɢɰɚ 1228Ɍɚɛɥɢɰɚ 2Ɍɚɛɥɢɰɚ 3Ɋɚɡɦɟɪɵ, ɦC0123456789ɇɚɝɪɭɡɤɢl1l2l3l4l5abcde108109810869688689109899810876881088686866109101068109107869921.51.61.51.21.21.51.221.51.51.21.21.520.81.61.21.61.811.20.90.80.80.80.90.611.11.20.80.810.81.21.21.20.60.91.20.80.90.81.21.210.61.20.9D0123456789q1q2PMɤɇ/ɦ ɤɇ/ɦ ɤɇ ɤɇ·ɦ2040801002536100 1203044120 110153290902050100802846701003260901301834120702248130 120264280100229Ɍɚɛɥɢɰɚ 4230ɉɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥɢɰɵ 4231ɉɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥɢɰɵ 4232ɉɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥɢɰɵ 4233ɉɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥɢɰɵ 4234Ɍɚɛɥɢɰɚ 53.
ɉɈɋɌɊɈȿɇɂȿ ɗɉɘɊ M , Q, N ȼ ɌɊȿɏɒȺɊɇɂɊɇɈɃ ȺɊɄȿȾɥɹ ɪɚɫɱɟɬɚ ɡɚɞɚɧɚ ɚɪɤɚ, ɫɯɟɦɚ (ɪɢɫ. ɉ1.1) ɢ ɪɚɡɦɟɪɵ ɤɨɬɨɪɨɣ ɜɵɛɢɪɚɸɬɫɹ(ɬɚɛɥ. 6) ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɰɢɮɪɚɦ Ⱥ, ȼ ɢ ɋ ɲɢɮɪɚ ABCD, ɜɵɞɚɧɧɨɝɨ ɫɬɭɞɟɧɬɭɩɪɟɩɨɞɚɜɚɬɟɥɟɦ. ȼɢɞ ɡɚɝɪɭɠɟɧɢɹ ɚɪɤɢ ɜɵɛɢɪɚɟɬɫɹ ɢɡ ɬɚɛɥ. 7 ɩɨ ɰɢɮɪɚɦ ȼ ɢ Dɲɢɮɪɚ ȺȼɋD.Ɍɪɟɛɭɟɬɫɹ:1. Ɉɩɪɟɞɟɥɢɬɶ ɨɩɨɪɧɵɟ ɪɟɚɤɰɢɢ ɢ ɩɨɫɬɪɨɢɬɶ ɷɩɸɪɵ ɭɫɢɥɢɣ M , Q, N ɜ ɚɪɤɟɫ ɩɨɦɨɳɶɸ ɩɪɨɝɪɚɦɦɵ ARKA [17], ɪɟɚɥɢɡɭɸɳɟɣ ɪɚɫɱɟɬ ɬɪɟɯɲɚɪɧɢɪɧɨɣɚɪɤɢ ɫ ɩɨɦɨɳɶɸ ɭɪɚɜɧɟɧɢɣ ɪɚɜɧɨɜɟɫɢɹ.2.
ȼɵɩɨɥɧɢɬɶ ɤɨɧɬɪɨɥɶ ɩɨɫɬɪɨɟɧɧɵɯ ɷɩɸɪ.Ɋɢɫ. ɉ1.1235Ɍɚɛɥɢɰɚ 6Ɋɢɫ.ɉ1.1,ɚɊɢɫ.ɉ1.1,ɛɌɚɛɥɢɰɚ 7Ɇɟɬɨɞɢɱɟɫɤɢɟ ɭɤɚɡɚɧɢɹ ɩɨ ɜɵɩɨɥɧɟɧɢɸ ɪɚɛɨɬɵ ɢ ɨɮɨɪɦɥɟɧɢɸ ɨɬɱɟɬɚ ɩɨ ɪɚɛɨɬɟ.x Ɋɟɡɭɥɶɬɚɬɵ ɪɚɫɱɟɬɨɜ ɜɵɩɨɥɧɹɸɬɫɹ ɢ ɩɪɟɞɫɬɚɜɥɹɸɬɫɹ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɩɪɢɦɟɪɚɦɢɪɚɫɱɟɬɚ ɬɪɟɯɲɚɪɧɢɪɧɵɯ ɚɪɨɤ ɛɟɡ ɡɚɬɹɠɤɢ (ɪɚɡɞɟɥ 10) ɢ ɫ ɡɚɬɹɠɤɨɣ (ɪɚɡɞɟɥ 11) ɩɨɫɨɛɢɹ.x Ɍɢɬɭɥɶɧɭɸ ɫɬɪɚɧɢɰɭ ɨɬɱɟɬɚ ɩɪɟɞɫɬɚɜɢɬɶ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɲɚɛɥɨɧɚ, ɩɪɢɜɟɞɟɧɧɨɝɨ ɜɤɨɧɰɟ ɞɚɧɧɨɝɨ ɩɪɢɥɨɠɟɧɢɹ 1 (ɫ. 240).2364. ɈɉɊȿȾȿɅȿɇɂȿ ɉɊɈȾɈɅɖɇɕɏ ɍɋɂɅɂɃ ȼ ɋɌȿɊɀɇəɏ ɎȿɊɆɕȾɥɹ ɪɚɫɱɟɬɚ ɡɚɞɚɧɚ ɮɟɪɦɚ, ɫɯɟɦɚ ɤɨɬɨɪɨɣ ɜɵɛɢɪɚɟɬɫɹ (ɬɚɛɥ. 8) ɜɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɞɜɭɦɹ ɩɟɪɜɵɦɢ ɰɢɮɪɚɦ ɲɢɮɪɚ ABCD, ɜɵɞɚɧɧɨɝɨ ɫɬɭɞɟɧɬɭɩɪɟɩɨɞɚɜɚɬɟɥɟɦ.Ɍɚɛɥɢɰɚ 8Ɍɢɩɨɜɚɹ ɫɯɟɦɚ ɮɟɪɦɵAB11111110.50.501HlllL111110.50.502HlllL111110.50.503HlllL237ɉɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥɢɰɵ 8Ɍɢɩɨɜɚɹ ɫɯɟɦɚ ɮɟɪɦɵAB110.51111111110.504HlllL111110.50.505HlllL1111110610.50.5lllL2383HɊɚɡɦɟɪɵ ɮɟɪɦɵ ɜɵɛɢɪɚɸɬɫɹ ɢɡ ɬɚɛɥ. 9 ɩɨ ɰɢɮɪɟ ɋ ɲɢɮɪɚ ȺȼɋD.ɇɚɝɪɭɡɤɚ ɧɚ ɮɟɪɦɭ ɡɚɞɚɧɚ ɜ ɜɢɞɟ ɟɞɢɧɢɱɧɵɯ ɜɟɪɬɢɤɚɥɶɧɵɯ ɫɨɫɪɟɞɨɬɨɱɟɧɧɵɯ ɜɭɡɥɚɯ ɜɟɪɯɧɟɝɨ ɩɨɹɫɚ (ɤɪɚɣɧɢɟ ɫɢɥɵ ɪɚɜɧɵ 0.5).
Ɋɚɡɦɟɪɧɨɫɬɶ ɫɢɥ ɩɪɢɧɹɬɚ ɜ ɤɇ.Ɍɪɟɛɭɟɬɫɹ:1. Ɋɚɫɱɟɬɨɦ ɆɄɗ ɧɚ ɉɄ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɩɪɨɝɪɚɦɦɵ SCAD ɨɩɪɟɞɟɥɢɬɶɭɫɢɥɢɹ N ɜ ɫɬɟɪɠɧɹɯ ɮɟɪɦɵ ɢ ɩɨɫɬɪɨɢɬɶ ɢɯ ɷɩɸɪɵ. ɉɨ ɨɩɪɟɞɟɥɟɧɧɵɦ ɭɫɢɥɢɹɦɜ ɫɬɟɪɠɧɹɯ ɮɟɪɦɵ ɢɡ ɭɪɚɜɧɟɧɢɣ ɪɚɜɧɨɜɟɫɢɹ ɨɩɨɪɧɵɯ ɭɡɥɨɜ ɮɟɪɦɵ ɩɨɞɫɱɢɬɚɬɶɨɩɨɪɧɵɟ ɪɟɚɤɰɢɢ ɮɟɪɦɵ.2. ȼɵɩɨɥɧɢɬɶ ɤɨɧɬɪɨɥɶ ɨɩɪɟɞɟɥɟɧɧɵɯ ɧɭɥɟɜɵɯ ɭɫɢɥɢɣ ɢ ɭɫɢɥɢɣ ɜɨɬɦɟɱɟɧɧɵɯ ɫɬɟɪɠɧɹɯ ɮɟɪɦɵ, ɢɫɩɨɥɶɡɭɹ ɪɚɰɢɨɧɚɥɶɧɵɟ ɫɩɨɫɨɛɵ ɩɪɢɦɟɧɟɧɢɹɭɪɚɜɧɟɧɢɣ ɪɚɜɧɨɜɟɫɢɹ ɫ ɭɱɟɬɨɦ ɤɨɧɫɬɪɭɤɬɢɜɧɵɯ ɨɫɨɛɟɧɧɨɫɬɟɣ ɮɟɪɦɵ.Ɍɚɛɥɢɰɚ 9ɐɢɮɪɵɲɢɮɪɚ:ABʋ ɫɯɟɦɵɐɢɮɪɚɲɢɮɪɚ:CL, ɦH, ɦɑɢɫɥɨɩɚɧɟɥɟɣ ɭɮɟɪɦɵ, ɲɬ,ɝɪɚɞ01,11,21,31,0102,12,22,32,0203,13,23,33,0304,14,24,34,0405,15,25,35,0506,16,26,36,0607,17,27,37,0108,18,28,38,0209,19,29,39,0310,20,30,40.040123456789121181.5241121.2181241.4241.2181.3121.4121.5866668688815151515151510101030Ɇɟɬɨɞɢɱɟɫɤɢɟ ɭɤɚɡɚɧɢɹ ɩɨ ɜɵɩɨɥɧɟɧɢɸ ɪɚɛɨɬɵ 4 ɢ ɨɮɨɪɦɥɟɧɢɸ ɨɬɱɟɬɚ ɩɨ ɪɚɛɨɬɟ.x ɉɪɢ ɩɨɫɬɪɨɟɧɢɢ ɪɚɫɱɟɬɧɨɣ ɫɯɟɦɵ ɮɟɪɦɵ ɪɟɤɨɦɟɧɞɭɟɬɫɹ ɢɫɩɨɥɶɡɨɜɚɬɶ ɫɯɟɦɵ ɬɢɩɨɜɵɯɮɟɪɦ, ɩɪɢɜɟɞɟɧɧɵɯ ɜ ɪɚɡɞɟɥɟ «ɋɯɟɦɚ» ɩɪɨɝɪɚɦɦɵ SCAD.
ɉɪɢ ɧɟɨɛɯɨɞɢɦɨɫɬɢ ɫɬɪɭɤɬɭɪɭɪɟɲɟɬɤɢ ɬɢɩɨɜɨɣ ɮɟɪɦɵ ɦɨɠɧɨ ɢɡɦɟɧɢɬɶ, ɭɞɚɥɹɹ ɤɚɤɢɟ-ɬɨ ɫɬɟɪɠɧɢ ɢ ɡɚɦɟɧɹɹ ɢɯ ɧɨɜɵɦɢ.x Ɋɚɫɱɟɬ ɜɵɩɨɥɧɢɬɶ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɩɪɢɜɟɞɟɧɧɵɦ ɜ ɪɚɡɞɟɥɟ 9 ɩɪɢɦɟɪɨɦ.x Ⱦɥɹ ɨɮɨɪɦɥɟɧɢɹ ɨɬɱɟɬɚ ɩɨ ɪɚɛɨɬɟ 4 ɢɫɩɨɥɶɡɨɜɚɬɶ ɦɟɬɨɞɢɱɟɫɤɢɟ ɪɟɤɨɦɟɧɞɚɰɢɢ,ɩɪɢɜɟɞɟɧɧɵɟ ɜ ɤɨɧɰɟ ɩɪɢɦɟɪɚ.x Ɍɢɬɭɥɶɧɭɸ ɫɬɪɚɧɢɰɭ ɨɬɱɟɬɚ ɩɪɟɞɫɬɚɜɢɬɶ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɲɚɛɥɨɧɚ, ɩɪɢɜɟɞɟɧɧɨɝɨ ɜɤɨɧɰɟ ɞɚɧɧɨɝɨ ɩɪɢɥɨɠɟɧɢɹ 1 (ɫ. 240).239ɋȺɇɄɌ-ɉȿɌȿɊȻɍɊȽɋɄɂɃȽɈɋɍȾȺɊɋɌȼȿɇɇɕɃ ɉɈɅɂɌȿɏɇɂɑȿɋɄɂɃɍɇɂȼȿɊɋɂɌȿɌɂɇɀȿɇȿɊɇɈ ɋɌɊɈɂɌȿɅɖɇɕɃ ɎȺɄɍɅɖɌȿɌɄɚɮɟɞɪɚ ɫɬɪɨɢɬɟɥɶɧɨɣ ɦɟɯɚɧɢɤɢ ɢ ɬɟɨɪɢɢ ɭɩɪɭɝɨɫɬɢɈɌɑȿɌɨ ɜɵɩɨɥɧɟɧɢɢ ɪɚɫɱɟɬɧɨɣ ɪɚɛɨɬɵ (ɜɫɬɚɜɢɬɶ ɧɨɦɟɪ ɪɚɛɨɬɵ)ɇɚɢɦɟɧɨɜɚɧɢɟ ɪɚɛɨɬɵ ( ɭɤɚɡɚɧɨ ɜ ɡɚɞɚɧɢɢ)(ɲɢɮɪ ɡɚɞɚɧɢɹ ………)ȼɵɩɨɥɧɢɥ :ɫɬɭɞɟɧɬ ɝɪ. (ɭɤɚɡɚɬɶ ɧɨɦɟɪ ɝɪɭɩɩɵ)(ɭɤɚɡɚɬɶ ɮɚɦɢɥɢɸ ɢ ɢɧɢɰɢɚɥɵ).… …… (ɩɨɫɬɚɜɢɬɶ ɩɨɞɩɢɫɶ)…ɉɪɢɧɹɥ :ɩɪɟɩɨɞɚɜɚɬɟɥɶ…ɋ.-ɉɟɬɟɪɛɭɪɝ(ɭɤɚɡɚɬɶ ɝɨɞ)240ɉɪɢɥɨɠɟɧɢɟ 2ɄɈɇɌɊɈɅɖɇɕȿ ɁȺȾȺɑɂ1.
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