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Консультация № 187501
04.07.2013, 09:51
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
необходимо расчитать прогиб квадратной трубы 20*20*2 ГОСТ 8639-82 с обоих концов шарнирные опоры, длина балки l=300мм, усилие P=500кгс, приложенное посередине.
Момент инерции трубы I=0,723см^4
Модуль упругости E=20.6 · 1010 (Ньютон / Метр^2)
Формула для рсчета
, где
f - прогиб
P - сила
l - длина балки
казалось бы всё просто, подставь и получи результат, НО размерности величин запутали меня окончательно!!!
Момент инерции в сантиметрах, Модуль упругости в Н/м^2, Сила в килограммах
Помогите подставить правильные величины в формулу. С объяснением перевода единиц измерения одну в другую.
И в чем получится прогиб (в миллиметрах или в метрах, или сантимерах)?
Спасибо!
необходимо расчитать прогиб квадратной трубы 20*20*2 ГОСТ 8639-82 с обоих концов шарнирные опоры, длина балки l=300мм, усилие P=500кгс, приложенное посередине.
Момент инерции трубы I=0,723см^4
Модуль упругости E=20.6 · 1010 (Ньютон / Метр^2)
Формула для рсчета
, где f - прогиб
P - сила
l - длина балки
казалось бы всё просто, подставь и получи результат, НО размерности величин запутали меня окончательно!!!
Момент инерции в сантиметрах, Модуль упругости в Н/м^2, Сила в килограммах
Помогите подставить правильные величины в формулу. С объяснением перевода единиц измерения одну в другую.
И в чем получится прогиб (в миллиметрах или в метрах, или сантимерах)?
Спасибо!
Обсуждение
04.07.2013, 11:33
общий
это ответ
Здравствуйте, Вадим Юрьевич!
Преобразуйте величины так, чтобы в наименования их единиц измерения входил только метр. Силу выразите в ньютонах. Прогиб определится в метрах.
P = 500 кгс [$8776$] 500 * 9,81 (Н) [$8776$] 4,90 * 103 Н;
l = 300 мм = 3,00 * 10-1 м;
I = 0,723 см4 = 0,723 (1 * 10-2 м)4 = 0,723 * 10-8 (м4) = 7,23 * 10-9 м4.
С уважением.
Преобразуйте величины так, чтобы в наименования их единиц измерения входил только метр. Силу выразите в ньютонах. Прогиб определится в метрах.
P = 500 кгс [$8776$] 500 * 9,81 (Н) [$8776$] 4,90 * 103 Н;
l = 300 мм = 3,00 * 10-1 м;
I = 0,723 см4 = 0,723 (1 * 10-2 м)4 = 0,723 * 10-8 (м4) = 7,23 * 10-9 м4.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Неизвестный
04.07.2013, 13:11
общий
Таким образом, что бы вставить в Excel и не парится со степенями, получаем
P = 4900Н
l = 0,3м
I = 0,00000000723 м4
У = 206000000000 Н/м2
главное с нулями не ошибиться...
P = 4900Н
l = 0,3м
I = 0,00000000723 м4
У = 206000000000 Н/м2
главное с нулями не ошибиться...
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