Find increase in the length of bar, Mechanical Engineering

Assignment Help:

Find increase in the length of bar:

Q: Find increase in the length of bar of uniform section because of self weight.

Sol.: Take a bar of cross sectional area A and length l hanging freely under its own weight as shown in figure

Let attention be focused on a small element of length dy at distance x from the lower end. If ' ω ' is specific weight (weight per unit volume) of bar material, then total tension at section m-n equals weight of bar for length y and can be given by

P =     Ay

As a result of which load, the elemental length dx elongates by small amount Ax, and
147_Find increase in the length of bar.png

The total change in length of bar because of self weight is worked out by integrating above expression between limits y = a and y = l. Thus,

1247_Find increase in the length of bar1.png

The total change in length of bar because of self weight is worked out by

integrating the above expression between limits y = a and y = l. Thus,
702_Find increase in the length of bar2.png 
If W is total weight of bar (W= wAl), then w = W/Al. In that case, the total extension of the bar
2488_Find increase in the length of bar3.png 

344_Find increase in the length of bar4.png

Figure

Thus total extension of bar because of self weight is equal to the extension that would be produced if ½ of the weight of bar is applied at its end.


Related Discussions:- Find increase in the length of bar

Reaction turbine, REACTIO N TURBINE: The turbine in which the stea...

REACTIO N TURBINE: The turbine in which the steam expands while passing over the moving blades as well as while passing over the fixed blades and the pressure of steam dec

Key words related to air transportation, Keywords related to Air transporta...

Keywords related to Air transportation: Airfield/Airport       :            The area which contains the facilities needed for the operation of aircraft. Apron

Illustrate the types of special foundations, Illustrate the Types of specia...

Illustrate the Types of special foundations Special foundations find use under following situation: i)  To meet the demands that are arising from uncommon environmental cond

Fuse-fundamentals of electricity , Fuse :  Fuse wire is made of soft ...

Fuse :  Fuse wire is made of soft metal and housed in a glass tube. It is connected in circuit. It protects the electrical accessories, which may be damaged by the overflow o

Determine coefficient of friction, Following data is provided for a 360 o ...

Following data is provided for a 360 o hydrodynamic bearing : Radial load = 3.2 kN journal Speed =1490 rpm journal diameter = 50 mm bearing length = 50 mm radial cl

Stress analysis reporting, Q. Stress analysis reporting? • Stress sketc...

Q. Stress analysis reporting? • Stress sketch with all node points, dimensions, pipe schedule, weights of non-standard components, e.g., control valves and actuators, insulatio

Mr, how is the theory of kinematics applied to secondary machining

how is the theory of kinematics applied to secondary machining

Ansys program, i want to analysis and test using fluent ansys

i want to analysis and test using fluent ansys

Lubrication complaints by repairing of motorcycle , Lubrication Complaints ...

Lubrication Complaints If the engine oil level is too low, check for the following things: External oil leaks Worn out piston rings Worn out valve guide and/o

Fixed support, Fixed Support: At such support beam end is not free to tran...

Fixed Support: At such support beam end is not free to translate or rotate at the fixed end there are three reaction horizontal reaction ( R H ), a vertical reaction ( R V ), an

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