Determine change in length of the bar, Mechanical Engineering

Assignment Help:

Determine change in length of the bar:

A steel bar is subjected to loads as shown the given figure. Determine change in length of the bar ABCD of 18 cm diameter. E = 180 kN/mm2.                                                                                                                      

Sol.:

As                           d = 180mm

E = 180 × 103  N/mm2

 

2172_Determine change in length of the bar.png

LAB = 300mm

LBC = 310mm

LCD = 310mm

From the given figure

Load on portion AB = PAB  = 50 × 103 N

Load on portion BC = PBC  = 20 × 103  N

Load on portion CD = PCD  = 60 × 103 N

Area of portion AB = Area of portion BC =  Area of portion CD = A = Πd2/4

=     (180)2/4 = 25446.9 mm2

By using relation   l = Pl/AE

δLab  = (50 × 103  × 300)/( 25446.9 × 180 × 103) = 0.0033mm ---------------- Compression

δLbc  = (20 × 103  × 310)/( 25446.9 × 180 × 103) = 0.0012mm ---------------- Compression
δLcd  = (60 × 103  × 310)/( 25446.9 × 180 × 103) = 0.0041mm ---------------- Compression
As net change in length  = -  δ Lab  -  δ Lbc  - δ  Lcd

= - 0.0033 - 0.0012 - 0.0041

= - 0.00856 mm

Decrease in length = 0.00856mm                                                                        .......ANS

 


Related Discussions:- Determine change in length of the bar

Design layout of storage tanks in plant, Q. Design layout of Storage Tanks ...

Q. Design layout of Storage Tanks in plant? Generally, tanks taking up large areas of the plot are located off-site and storage tanks containing the same product grouped togeth

welding, types of welding, pressure and non pressure weldin

types of welding, pressure and non pressure welding

Planning of railway stations - transport engineering, Planning of Railway S...

Planning of Railway Stations and Facilities Provided: The planning of railway stations should cover the following aspects: (a)        The site selected should be easily ac

Evaluate resultant force on the bucket, A single jet pelton wheel runs at 3...

A single jet pelton wheel runs at 300 rpm under a head of 510 m. the jet diameter is 200m, its deflection inside the bucket is 165 o and its relative velocity is reduced by 15% be

Initial tension in the belt, Initial tension in the belt: Sol: The t...

Initial tension in the belt: Sol: The tension in belt which is passing over the two pulleys (that is driver and follower) when the pulleys are stationary is an initial tensi

Thermodynamic equilibrium - thermodynamics, Thermodynamic equilibrium - The...

Thermodynamic equilibrium - Thermodynamics: Equilibrium is the state of a system in which the state does not undergo any change in itself with the passage of time without the

Angular dimensions-autocad, Angular Dimensions There is only one comman...

Angular Dimensions There is only one command in this section and it is used to annotate angular measurements. The Angular Dimension Command The Angular command is amazi

Electrical science, explain ways of representing alternative quantities;1)p...

explain ways of representing alternative quantities;1)phasor representation 2)graphical representation 3)complex waves 4)addition and subtraction of sine wave

Calculat ethe total amount of phase, Question 1 For an equilibrium cool...

Question 1 For an equilibrium cooled alloy of 92%D/8%C, which of the above diagrams best represents the microstructure at 0°C? Question 2 For an equilibrium cooled allo

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