Determine the elongation of plate, Mechanical Engineering

Assignment Help:

Determine the elongation of plate:

Q: A steel bar AB which is having uniform thickness 2 cm, tapers from 1.5 cm to 7.5 cm uniformly in a length of 50 cm. From 1st principles determine the elongation of plate; if axial tensile force of 100 kN is applied on it. [E = 2 x 105 N/mm2]

Sol.: Consider small element of length dx of plate, at a distance x from larger end. Then at this section,

Width wx=   1667_Determine the elongation of plate.png 

Cross-section area A = thickness × width =  236_Determine the elongation of plate1.png 

1061_Determine the elongation of plate3.png



100_Determine the elongation of plate2.png


∴ Elongation of elementary length,
925_Determine the elongation of plate4.png 
The total change in length of plate can be worked out by integrating above identity between the limits  x = 0 and x = 400 mm. That is:
1567_Determine the elongation of plate5.png 


Related Discussions:- Determine the elongation of plate

Pressure and temperature in unfired pressure vessels, Q. Pressure and Tempe...

Q. Pressure and Temperature in Unfired pressure vessels? The design pressures and coincident maximum and minimum metal temperature, shall be determined by carefully considering

Fracton steam, calculate the dryness fractin of steam which has 1.5kg of wa...

calculate the dryness fractin of steam which has 1.5kg of water in suspension with 50kg of steam

Find maximum torque which can be transmitted by belt drive, Find maximum to...

Find maximum torque which can be transmitted by belt drive: A belt is stretched over the two identical pulleys having diameter D meter. The initial tension in belt throughout

Steam engine main parts, STEAM ENGINE MAIN PARTS:    Connecting Rod: ...

STEAM ENGINE MAIN PARTS:    Connecting Rod: It connects cross head with crank on other side.    Crank Shaft: It is output shaft on which the mechanical power which is a

Two wheeler, how to adjust the motorcycle clutch play

how to adjust the motorcycle clutch play

Thermodynamics, why there is heat is not completely converted into work in ...

why there is heat is not completely converted into work in ideal case?

Illustrate the general shear failure in bearing capacity, Illustrate the ge...

Illustrate the general shear failure in bearing capacity. General Shear Failure: In this case of failure, contiguous failure surfaces develop between the edges of the footin

How is varignons theorem useful in engineerin mechanics, how is varignons t...

how is varignons theorem useful in engineering mechanics

Optimization, consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3...

consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3x2+x3 5x1+4x2+3x3 x1,x2,x3>_0 (a)solve using simlex method (b)hence using the sesitivity analysis,find the new optimal

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