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

Heat treatment, #question.what are process of annealing? .

#question.what are process of annealing? .

TIG welding, TUNGSTEN INERT GAS WELDING (TIG) In this process, an arc i...

TUNGSTEN INERT GAS WELDING (TIG) In this process, an arc is struck between a non consumable tungsten electrode and the base metal. The tungsten electrode is called non consumab

Explain the open system - thermodynamic, Explain the Open system - Thermody...

Explain the Open system - Thermodynamic The system that can exchange both of the mass and energy that is Heat and work with its surrounding, the mass in the system may not be c

Shells, SHELLS: In the topic (SHELLS) , we have seen the assumptions ...

SHELLS: In the topic (SHELLS) , we have seen the assumptions made in the analysis of thin shells. For a spherical shell, which is symmetrical in all of the directions, the ho

Functional areas of geometric modeling, Q. Functional areas of geometric mo...

Q. Functional areas of geometric modeling? Drafting • Automatic planar cross-sectioning. • Automatic hidden lines and surface removal. • Automatic production of s

Oxides, Oxides These comprise alumina, magnesia, thoria, beryllia and ...

Oxides These comprise alumina, magnesia, thoria, beryllia and zirconia. Other oxides that are utilized sparingly due to high cost comprise hafnia, ceria and yttria. Variety of

Steam, what is dry ness fraction?

what is dry ness fraction?

Equilibrium of body on the rough inclined plane, Equilibrium of body on the...

Equilibrium of body on the rough inclined plane: If the inclination is less than angle of friction, the body remains in equilibrium without any external force. If body is to b

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