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

Aluminium cast alloys, Aluminium Cast Alloys: Aluminium alloys the ca...

Aluminium Cast Alloys: Aluminium alloys the cast through any one of the given processes. Sand Casting is the easiest and most versatile process minute castings, complex ca

Interesting history of iges, Interesting history of IGES: In the year ...

Interesting history of IGES: In the year of 1979, events took place that catalyzed the CAD vendor and user community to make the first national standard for CAD data exchange.

Define pattern draft or taper, Q. Define Pattern draft or taper? It is ...

Q. Define Pattern draft or taper? It is also termed as "draw". It is the taper placed on the pattern surface that are parallel to the direction in which the pattern is withdraw

Determine the brake power of an engine, Determine the Brake power of an Eng...

Determine the Brake power of an Engine which is running at a fixed speed of 300 r.p.m. and carries a rope brake Dynamometer. The Dead weight on the spring balance and engine readin

Define the term linear non-uniform soil pressure, Define the term linear no...

Define the term linear non-uniform soil pressure. See that the eccentric load on a column as in demonstrated figure also produces a similar effect. The linear non-uniform soil

Motion of connected bodies, Motion of connected bodies: Analyze motio...

Motion of connected bodies: Analyze motion of connected bodies that is connected by pulleys. Sol: The given figure shows a light and inextensible string passing over sm

Need Assignment, Ac circuit having rl rc rlc. Series

Ac circuit having rl rc rlc. Series

Determine the carbon content of steel, Determine the carbon content of stee...

Determine the carbon content of steel: A hypoeutetoid steel which was cooled slowly from γ-state to room temperature was found to contain 10% eutectoid ferrite. Suppose no cha

The center mark command, The Center Mark Command We can use  Center Mar...

The Center Mark Command We can use  Center Mark command to annotate a circle or an arc with a cross at the center.Illustration above shows a center mark added to a circle quick

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