Calculate the vertical deflection - cantilever, Mechanical Engineering

Assignment Help:

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


Related Discussions:- Calculate the vertical deflection - cantilever

Belt drive, how will u designate a v belt

how will u designate a v belt

Governors, describe the following characteristics sensitivity stability is...

describe the following characteristics sensitivity stability isochronous

Scheduling, how to find out hte optimal sequence and determine the minimun ...

how to find out hte optimal sequence and determine the minimun total elapsed time associated with a given problem

Electric resistance welding, ELECTRIC RESISTANCE WELDING Electric resis...

ELECTRIC RESISTANCE WELDING Electric resistance welding is an important and widely applied non fusion welding process. This write up covers the basic principles of various resi

Thermodynamics, why constant volume line has more slop tha constant pressur...

why constant volume line has more slop tha constant pressure line in T-S diagram

Moment of Force, How do I solve this question? http://i195.photobucket.com...

How do I solve this question? http://i195.photobucket.com/albums/z154/NanazRulez/20120802_155751.jpg

Explain the effect of cutting speed, Explain the Effect of Cutting Speed ...

Explain the Effect of Cutting Speed Increase in cutting speed improves the surface finish due to the continuous reduction in built up edge. The curve a represents the machining

Objectives of general safety and service tips , Objectives After study...

Objectives After studying this general safety and services tips, you should be able to appreciate the importance of safety precautions, accomplish the servicing wo

Equilibrium, Ask question #Minimum 100 words accepA rope of negligible mass...

Ask question #Minimum 100 words accepA rope of negligible mass is stretched horizontally between two supports that are 3.44 m apart.When an object of weight 3160 N is hung at the c

Explain end relief angle, Explain End Relief Angle It is the angle betw...

Explain End Relief Angle It is the angle between the plane perpendicular to base and end flank. The angle prevent\s the cutting tool from rubbing against the job where as if th

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd