Evaluate elongation because of self weight of tapering rod, Mechanical Engineering

Determine elongation because of self weight of tapering rod:

Sol.: Take a tapering rod hung vertically and firmly fixed at top position. The rod is of length L tapers uniformly from diameter dl  to d2, Let sides AC and BD meet at the point E when produced. Extension L in the length L of the rod ABDE because of self weight is

δL = extension of conical rod AEB because of self weight - extension because of conical segment CEB because of self weight - extension in rod length L because of weight of segment CED
692_Evaluate elongation because of self weight of tapering rod.png 
where P is weight of segment CED and w is specific weight of bar material
2156_Evaluate elongation because of self weight of tapering rod1.png 
Substituting the value of tensile load P in above expression, we get
1996_Evaluate elongation because of self weight of tapering rod2.png 
From geometrical configuration
1222_Evaluate elongation because of self weight of tapering rod6.png 
This gives :
940_Evaluate elongation because of self weight of tapering rod4.png 
If rod is conical,  that is, d2 = 0
1817_Evaluate elongation because of self weight of tapering rod5.png 
which is same expression as derived previously. 

Posted Date: 10/23/2012 1:38:41 AM | Location : United States







Related Discussions:- Evaluate elongation because of self weight of tapering rod, Assignment Help, Ask Question on Evaluate elongation because of self weight of tapering rod, Get Answer, Expert's Help, Evaluate elongation because of self weight of tapering rod Discussions

Write discussion on Evaluate elongation because of self weight of tapering rod
Your posts are moderated
Related Questions
Define density and specific volume. DENSITY (ρ) Density is illustrated as mass per unit volume; Density = mass/ volume; ρ = m/v, kg/m 3 P for Hg = 13.6 × 10 3 kg/m 3

Types Of Polymerisation When some of bifunctional molecules connect in a chain structure, the reaction is termed as addition polymerisation.  However, these polymerizations do

A 6 cm diameter rubber ball weighing 5 g is used to plug a 4 cm hole in the base of a tank. The tank is in use and is gradually emptying. At approximately what depth will the ball

Compute the total force which shall be acting on the springs: An automobile of mass 1300 kg, travelling at a speed of 60 kmph hits a depression in the road that has a radius o

Calculate the angular acceleration of the wheel: A locomotive wheel of radius r = 0.8 m is illustrated in Figure. At the given instant, the speed of the locomotive is 1.6 m/se


Open coiled helical spring: In an open coiled helical spring along with α = 38 o , if the inclination of the coil is ignored, determine the percentage by which the axial exten

A suspended walkway in an underground cavern consists of a deck supported by three tie rods placed symmetrically about the centre as shown below: The rods are each of

Explain the Extensive Properties of a System Extensive properties are those, which dependent on the mass of the system and do not maintain similar value for any part of the sys

Factor of Safety: Factor of safety is number used to determine working stress. It is fixed based on experimental works on material. It accounts all uncertainties like, mate