find the expression for the depression of the free end of a cantilever when the weight of the beam is effective?
Answer:-
As full question is not given I will give you a idea to approach these types of problems
As we know that the Cantilever beams are the simple beams which are supported at one of the end with being the other end free. now with this configuration the one end takes all of the load thus a good anchor is needed to resist the bending moment. . This configuration is typically called Encastre. Sometimes you may not not have ability to avoid using a cantilever beam because of access requirement. Sometime it is used for the aesthetic purposes in structures. By careful design you can make a beam with little deflection but it will have varying values of second moment , along the length.
Examples of the cantilever is a spring board.
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