Calculate the vertical deflection - cantilever, Mechanical Engineering

Calculate the vertical deflection:

Calculate the vertical deflection at the tip of the cantilever shown in Figure

88_Calculate the vertical deflection.png

Figure

Solution

Measuring the distance x from the free end, the bending moment at a section distant x through the tip is given as

                                             M =- Px

Then,

2362_Calculate the vertical deflection1.png

Therefore, the vertical deflection below

P =∂U/∂P= PL3/3EI

The positive sign indicate that the deflection is in the direction of P, that means downwards.

 It might be seen that ∂U/∂P might be written as follows :

626_Calculate the vertical deflection2.png

where

 - Px / EI = M /EI  and  - x = ∂M / ∂P

Posted Date: 1/21/2013 6:42:57 AM | Location : United States







Related Discussions:- Calculate the vertical deflection - cantilever, Assignment Help, Ask Question on Calculate the vertical deflection - cantilever, Get Answer, Expert's Help, Calculate the vertical deflection - cantilever Discussions

Write discussion on Calculate the vertical deflection - cantilever
Your posts are moderated
Related Questions
Determine the maximum torque - shaft: Determine the maximum torque that can be safely transmitted by a shaft of 400 mm diameter, if (a) the maximum allowable shear stress i

A carnot engines performs between two reservoirs whose difference in temperature is 200 o C. If the work output of the engine is 0.5 times the heat rejected, make evaluation for th

Loose piece pattern This type of pattern is also used when the contour of the part is such that withdrawing the pattern from the mould is not possible. Hence during moulding th

Use of hartung governor

Yoke or magnetic frame It is the outer cover of the machine. An even number of pole cores are bolted to the yoke. Its serves the following purposes 1. It gives mechanical su

Derive the relation ship between volumetric efficiency & clearance.

Newton law of motion - Thir d Law Force of action and reaction between the bodies which are interacting are equal in magnitude, opposite in direction and have same line of ac

Q. Design Safe Areas for plant? A Safe Area in this manual is regarded as a space that is not ranked as being a designated hazardous area by the relevant Regional or Country st

After trial if oil seal found still leaking: Dismantle engine and check crank shaft for run out which should not be more than 0.10 mm.

VISUAL REALISM: Hidden line and surface removal eliminates the ambiguities of the displays of three-dimensional models and is considered the first step toward visual realism.