Определение реакций опор твердого тела

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      1.2.3.  З а д а н и е  С.17.  Определение реакций опор твердого тела

      Пространственная конструкция состоит из вала ОВ веса Р,  установленного в подшипниках,  расположенных в двух из трех возможных точек О, А и В.   

На валу в различных сочетаниях,  в плоскостях, перпендикулярных его оси,  жестко закреплены кулачки и диски радиусов R и r. Установка одного из элементов конструкции (диска) произведена с эксцентриситетом,  равным  е.

      На  конструкцию  в различных ее точках  действуют силы  F1, F2, F3 и  F4, векторы которых расположены в плоскостях, перпендикулярных оси вала. Линии действия сил F1, Fв точках их приложения имеют соответствующие углы наклона a1, a2 к касательным, а векторы сил F3 и F4 направлены параллельно осям выбранной системы координат  Oxyz.

     Определить реакции опор конструкции,  а также найти числовое  значение и  направление  момента МУ,  действующего  в плоскости  перпендикулярной оси  у  и уравновешивающего приложенную к конструкции систему сил.

     Схемы конструкций показаны на рис. С.17.0 - С.17.9.  Данные, необходимые для расчетов, представлены в табл. С.17.

 

     z                                                                                                                      

a                           1,3a                                                                          у

F1                                                                                         B

                      a1                                                                                        

                                                              r                              А          r

                                                                                                                   F4

 e                        a2  a

                                       R         F3                       2,5r               F2

    Ox

                                                         Рис. С.17.0                                                                                                                

 

z            аF4B       y

                     е                                                                   

                 F1                            F2       a2                                          

a1

                                                                                                             R

                              R                          A                       r                                                                    

                                                                                                               F3

                                                                                        а а

      О                                                                                                                       x

          Рис. С.17.1

 104

       z                                                                        y

                                                                                 F4                                                        B

                                         1,5R                                        A

                                                                                                    r       е

                       а                                                               

                                                                     R                                          a2

             F3         45°                                                                                                                                             F2

                                                                                      2aа

                                          r           a1                                                       

     OF1x

                                                             

 

                                                                                                                                                             Рис. С.17.2

 


           z                                                                                                             B

                    F4y

                                                                                        

                           а                                                                                                

                             F1                  F2        a2                                                                                 r

                                                                                            а

                         a1                                         

                                   R              е

                               r                         А

                                                       F3                                                1,2а

          O                                                                                                                   x

                                             Рис. С.17.3

        

zF2                                                          B        у

                                                                         a2                                                       

                      1,2а                    0,8а                                        

A        R

                     F1                                                                                      

                           a1                                                                                                                                 F4

                   r                    1,8R

                                                                         2а

     еF3

          O                                                                                                                               x

r

                                                            Рис. С.17.4

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