Question
Download Solution PDFThe stress induced in a body, when suddenly loaded, is _____________ the stress induced when the same load is applied gradually.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
When a load is applied gradually, the body stretches slowly, and the stress induced is given by:
When the same load is applied suddenly (i.e., instantaneously), the body stores more strain energy. The strain energy in this case becomes:
As strain energy is proportional to the square of stress, this results in the stress becoming:
Reason: In gradual loading, only half of the work contributes to strain energy. In sudden loading, full work is stored, hence more stress is induced.
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