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

Involutes, considerations for shape changers

considerations for shape changers

Lathe - milling and grinding machine, Define O.R. and what are the applicat...

Define O.R. and what are the applications in Industry ? A firm uses lathe, milling and Grinding machine to make two machine parts. The table below show the machining time requir

Hazardous areas classification, Hazardous Areas are formally ranked as bein...

Hazardous Areas are formally ranked as being a designated hazardous area using the relevant regional or country standards that are directly applicable to the plant design under con

Erosion-corrosion in steam service, Q.What is Erosion-Corrosion in Steam Se...

Q.What is Erosion-Corrosion in Steam Service? Depending on the steam quality, Let-down valves are subject to erosion-corrosion when pressure drop exceeds 1000kPa. Hard facing i

First law of thermodynamics, common formula for first law of thermodynamics...

common formula for first law of thermodynamics #Minimum 100 words accepted#

Theory of production process, In Grey Cast Iron, carbon is present in -----...

In Grey Cast Iron, carbon is present in ------------form while in white cast iron, it is found in ----------- form.

Formation - permanent way, Formation (Embankment): The formation is t...

Formation (Embankment): The formation is the earthen embankment on which the other components of the track rest. For supporting the heavy loads, the earth should be of good q

State the postulates of special theory of relativity, State the postulates ...

State the postulates of special theory of relativity and deduce from them the Lorentz transformations. Define an inertial frame of reference and derive the Lorentz transformatio

Two wheeler engines, Two Wheeler Engines: Engine is a unit of motorcycle t...

Two Wheeler Engines: Engine is a unit of motorcycle that runs the motorcycle by converting fuel energy to mechanical power. This power comes from the burning of fuel inside the cy

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