Determine change in length of the bar, Mechanical Engineering

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

 

Posted Date: 10/23/2012 1:53:51 AM | Location : United States







Related Discussions:- Determine change in length of the bar, Assignment Help, Ask Question on Determine change in length of the bar, Get Answer, Expert's Help, Determine change in length of the bar Discussions

Write discussion on Determine change in length of the bar
Your posts are moderated
Related Questions
prove that work is a path function

Batch Furnaces: An insulated, the heating system, chamber for placing the job, and a door or various doors for placing the job in place are the necessity of these furnaces. T

Q. Supply Fan - air-conditioning guidelines? Recheck final air quantities and static pressure. Indicate location of motor and belt guard. For fans located in plenums ensure ade

Classification Two categories of plastics are identified. Those are: thermosetting plastics and thermoplastics. Plastics generally cannot stand higher temperatures. They becom

Calculate the weight of body and the coefficient of friction: Q: Bodies resting on rough horizontal plane required pull of 24N inclined at 30º to the plane just to move it. I

Schedule Evaluation The schedules are evaluated as per to the criterion weighted loss of slack. Now let t 0 si be the slack (time buffer) of job I as per to the initial sched

What is a difference between the steady state conditions and the thermal equilibrium state? In steady state condition, temperatures are constant although heat transfer is taking

Forces working on dam: Let a dam retaining water as illustrated in Figure (a). What are the forces working on it? Solution The forces working on dam are as follows:


Disc clutch friction thickness: Check disc clutch friction thickness which should be minimum of 2.6 mm.