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Консультация № 196489
27.09.2019, 23:00
0.00 руб.
1
1
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Груз массой m = 230 кг падает на балку длиной l = 3,6 м посередине пролёта с высоты h = 0,025 м, измеряемой от уровня опор. Материалом служит алюминий, для которого модуль упругости Е = 0,7*1011 Н/м2. Пренебрегая влиянием собственной массы балки, найти наибольшее динамическое перемещение δmax груза, если статический прогиб балки под действием его веса δx = 0,028 м.
Груз массой m = 230 кг падает на балку длиной l = 3,6 м посередине пролёта с высоты h = 0,025 м, измеряемой от уровня опор. Материалом служит алюминий, для которого модуль упругости Е = 0,7*1011 Н/м2. Пренебрегая влиянием собственной массы балки, найти наибольшее динамическое перемещение δmax груза, если статический прогиб балки под действием его веса δx = 0,028 м.
Прикрепленные файлы:
Обсуждение
30.09.2019, 13:29
общий
это ответ
Здравствуйте, dar777!
Дано: h=0,025 м -- высота, с которой груз падает на балку; [$948$]x=0,028 м -- статический прогиб балки под действием веса груза.
Определить: [$948$]max -- наибольшее динамическое перемещение груза.
Решение
Согласно [1, с. 606], влияние ударного действия нагрузки на величину деформации или напряжения принято оценивать коэффициентом динамичности
где fст -- статическая деформация, fд -- динамическая деформация. Согласно [1, с. 611],
Тогда
Ответ: 0,075 м.
Литература
1. Писаренко Г. С., Яковлев А. П., Матвеев В. В. Справочник по сопротивлению материалов. -- Киев: Наукова думка, 1988. -- 736 с.
В прикреплённом файле в кратком виде рассказывается о методике расчёта. Я заимствовал её здесь.
Дано: h=0,025 м -- высота, с которой груз падает на балку; [$948$]x=0,028 м -- статический прогиб балки под действием веса груза.
Определить: [$948$]max -- наибольшее динамическое перемещение груза.
Решение
Согласно [1, с. 606], влияние ударного действия нагрузки на величину деформации или напряжения принято оценивать коэффициентом динамичности
kд=fд/fст
,где fст -- статическая деформация, fд -- динамическая деформация. Согласно [1, с. 611],
kд=1+[$8730$](1+2h/fст).
Тогда
fд=[$948$]max=fстkд=0,028*(1+[$8730$](1+2*0,025/0,028))[$8776$]0,075 (м).
Ответ: 0,075 м.
Литература
1. Писаренко Г. С., Яковлев А. П., Матвеев В. В. Справочник по сопротивлению материалов. -- Киев: Наукова думка, 1988. -- 736 с.
В прикреплённом файле в кратком виде рассказывается о методике расчёта. Я заимствовал её здесь.
Прикрепленные файлы:
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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