Calculated the slope of the cantilever, Mechanical Engineering

Calculated the slope of the cantilever:

Calculated the slope of the cantilever given in Example 6 at its free end.

Solution

To find out rotation in a beam we must have a couple working at that point. Since at the free end, there is no couple, we introduce a fictitious couple M′ as illustrated in Figure

1239_Calculated the slope of the cantilever.png

Figure

Now           M =- Px - M ′  &    ∂M / ∂M ′  = - 1

 

393_Calculated the slope of the cantilever1.png

θA = PL2/ 2EI (Positive sign denoted rotation in the sense of M′, that means clockwise).

 Therefore, we see that the tip slope of a cantilever loaded along a concentrated vertical

force P at its free end is PL2 /2EL

Posted Date: 1/21/2013 6:47:49 AM | Location : United States







Related Discussions:- Calculated the slope of the cantilever, Assignment Help, Ask Question on Calculated the slope of the cantilever, Get Answer, Expert's Help, Calculated the slope of the cantilever Discussions

Write discussion on Calculated the slope of the cantilever
Your posts are moderated
Related Questions
Determine the Forces in Members in Roof Truss Determine the forces in members EF, EL, FL, and LK in the roof truss shown below and state whether the members are in tension or

Q. Design Transfer Facilities in plant? Transfer facilities (e.g. pumps, piping, and conveyers) must be arranged so that no leaks can escape the confines of the bund / dike, an

Figure aside shows a belt conveyors which consists of endless belt. It has a power driven pulley at one end which moves the belt or downward flow of materials. General

(a) Write short note on following : (i) Ericsson cycle (ii) Diesel cycle (iii) Stirling cycle (b) The swept volume of a diesel cycle engine working on dual cycle is 0.0

PROBLEM DEFINITION Inspiration for a product is most often the result of meeting a particular need or problem that existing products are not able to satisfy. When defining a

(a) Derive an expression for the otto cycle to determine the Mean Effective Pressure and efficiency. (b)The two engines are to perform on diesel and otto cycle with the followin


Fuel Feed System: Fuel feed system is provided to serve the air fuel mixture to the engine in an appropriate ratio so that it can burn efficiently and transmit power to crank shaf

What are relevant design considerations? The relevant design considerations may be summarized as follows: a. Main reinforcement (uniformly distributed) is placed in a longit

What are the rules which must be kept in mind when designing castings? Some of the points which should be kept in mind during the process of cast designing are as follows: >