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

Material science, what is the main process to get steel hard

what is the main process to get steel hard

Elasticity, define prandtl''s stress function

define prandtl''s stress function

Find out the friction force, Find out the friction force: The cord pas...

Find out the friction force: The cord passes over a massless and frictionless pulley, carrying a mass M 1 at one end and wrapped around a cylinder of mass M 2 which rolls on

Governors, The spring controlled governor of the Hartung type has two rotat...

The spring controlled governor of the Hartung type has two rotating masses each of 2.5kg and the limits of their radius of rotation are 100 mm and 125 mm. The each mass is directl

Metal that does not contain iron, Is there a metal that does not contain ir...

Is there a metal that does not contain iron? Ans) Most commercially available aluminum having some other materials, but only accidental traces of iron, if any. For example, Copp

What is called materials which can store electrical energy, Materials which...

Materials which can store electrical energy are called (A) magnetic materials.  (B) semi conductors. (C) dielectric materials.  (D) super conductors. Ans: Mater

Bending strength machine, what is bending strength machine parts of bendin...

what is bending strength machine parts of bending strength machine and description about different parts of bending strength machine description about bending srength machine and

Method of section, Figure shows a Warren girder consisting of seven members...

Figure shows a Warren girder consisting of seven members each of 3 m length freely supported at its end points. The girder is loaded at B and C as given. Determine the forces in al

Spot welding of different metals-nickel and monel metal, Spot welding of di...

Spot welding of different metals-Nickel and monel metal While spot welding these materials, the settings are to be properly maintained. Welding time, in this case, is only 50 %

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