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Консультация № 193997
25.11.2018, 17:08
0.00 руб.
04.12.2018, 09:24
1
1
1
Здравствуйте, уважаемые эксперты! Прошу вас решить данный вариант задачи по теме "Равновесие сочленённых тел" теоретической механики.
Определить силы взаимодействия, возникающие в промежуточном шарнире D, и усилия в поддерживающих составную конструкцию опорах, пренебрегая весами балок.
На схеме указать силы реакций связи
Определить силы взаимодействия, возникающие в промежуточном шарнире D, и усилия в поддерживающих составную конструкцию опорах, пренебрегая весами балок.
На схеме указать силы реакций связи
Прикрепленные файлы:
Обсуждение
04.12.2018, 10:23
общий
это ответ
Здравствуйте, Влад Григорьев!
Рассматриваемая конструкция состоит из балок AD и DC. Чтобы вычислить искомые усилия, расчленим конструкцию и рассмотрим равновесие балки AD (рисунок а в прикреплённом файле). Выберем начало координат в точке D и направим ось абсцисс вправо, ось ординат -- вверх. Заменим связи в шарнире и опоре их реакциями. Для полученной плоской системы сил составим уравнения равновесия:
[$8721$]Fx=0, XB+XD-F*cos[$945$]=0; (1)
[$8721$]Fy=0, YB+YD-F*sin[$945$]=0; (2)
[$8721$]MD(F)=0, YB*|BD|+M-F*sin[$945$]*|DE|=0. (3)
Рассмотрим равновесие балки DC аналогично (рисунок б в прикреплённом файле). Получим следующие уравнения равновесия:
[$8721$]Fx=0, XC-XD+q*|CD|/2=0; (4)
[$8721$]Fy=0, YC-YD=0; (5)
[$8721$]MC(F)=0, XD*|CD|+q*|CD|2/6=0. (6)
Полученных шести уравнений достаточно для нахождения и сил взаимодействия в шарнире, и усилий в опорах.
Рассматриваемая конструкция состоит из балок AD и DC. Чтобы вычислить искомые усилия, расчленим конструкцию и рассмотрим равновесие балки AD (рисунок а в прикреплённом файле). Выберем начало координат в точке D и направим ось абсцисс вправо, ось ординат -- вверх. Заменим связи в шарнире и опоре их реакциями. Для полученной плоской системы сил составим уравнения равновесия:
[$8721$]Fx=0, XB+XD-F*cos[$945$]=0; (1)
[$8721$]Fy=0, YB+YD-F*sin[$945$]=0; (2)
[$8721$]MD(F)=0, YB*|BD|+M-F*sin[$945$]*|DE|=0. (3)
Рассмотрим равновесие балки DC аналогично (рисунок б в прикреплённом файле). Получим следующие уравнения равновесия:
[$8721$]Fx=0, XC-XD+q*|CD|/2=0; (4)
[$8721$]Fy=0, YC-YD=0; (5)
[$8721$]MC(F)=0, XD*|CD|+q*|CD|2/6=0. (6)
Полученных шести уравнений достаточно для нахождения и сил взаимодействия в шарнире, и усилий в опорах.
Прикрепленные файлы:
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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