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

Merchant force circle diagram, (a) Draw neatly and accurately the Merchant ...

(a) Draw neatly and accurately the Merchant force circle diagram. Mention clearly the forces involved, the constructional steps and the assumptions made [do not derive the forces]

Show maximum allowable working pressure, Q. Show Maximum Allowable Working ...

Q. Show Maximum Allowable Working Pressure? The MAWP to be marked on the Section VIII nameplate is defined as the maximum gauge pressure permissible at the top of a completed v

Plot plan alignment, Plot Plan Alignment Generally the process units w...

Plot Plan Alignment Generally the process units will be positioned in process flow order, with common utility blocks positioned to provide economical and effective services. P

what do you mean by ignition system?, (a) What do you mean by ignition sys...

(a) What do you mean by ignition system? Write down its functions. (b) Briefly describe the working principle of ignition system. (c) How is energy generated inside the batte

Graphics, offset method to draw parabola

offset method to draw parabola

Corrosion in boiler, Q. Corrosion in Boiler? With proper BFW treatment,...

Q. Corrosion in Boiler? With proper BFW treatment, and maintaining pH within a certain range (9.2 to 9.4) and removing oxygen from the system, a stable passive film will be for

Show produced water de-oiling unit, Q. Explain about water De-Oiling proces...

Q. Explain about water De-Oiling process? The De-Oiling process consists of three major components: The Surge and Skim Tank which reduces PW oil content to 100 ppm I

Stitch welding, Stitch welding Here, a series of overlapping spot welds...

Stitch welding Here, a series of overlapping spot welds are made with the spot welding machine using the conventional electrode tip. Both water tight and gas tight joints can b

Material handling equipment, In selection of material handling equipment...

In selection of material handling equipment itself Hageman indicates that the final consideration are: 1. Methods of Installation: Operating controls should be accessibl

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