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

Gear box, how we can design a shaft for gear box

how we can design a shaft for gear box

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

What is one way shear, What is one way shear? Explain with a suitable demon...

What is one way shear? Explain with a suitable demonstration. One Way Shear This worked out seen a similar case is the case of wall footings. For square footings also the cr

Four-stroke - single cylinder gasoline engine, A four-stroke, single cylind...

A four-stroke, single cylinder gasoline engine having a bore of 90 mm and stroke of 100 mm has a compression ratio 7. The relative efficiency is 55% when the shown specific fuel co

First law- closed system undergoing change of state, First Law for Closed S...

First Law for Closed System Undergoing Change of State - thermodynamics: In accordance to first law, when system undergoes a thermodynamic process (change of state) heat and w

welding, types of welding, pressure and non pressure weldin

types of welding, pressure and non pressure welding

Couples, explain the properties of acouple

explain the properties of acouple

Define the advantages of abrasive jet cutting machines, Advantages of Abras...

Advantages of Abrasive Jet Cutting Machines 1. Ability to cut brittle or heat sensitive material without damage. 2. Capability to cut intricate holes in material of any hard

Governor, what is hartnell governor

what is hartnell governor

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