Determine elongation because of self weight of conical bar, Mechanical Engineering

Determine elongation because of self weight of conical bar:

Sol.: Consider conical bar ABC of length L with the diameter d fixed rigidly at AB. Let attention be focused on small element of length dy at distance y from lower end point C. Total tension P at the section DE equals weight of bar for length y and can be given by

1414_Determine elongation because of self weight of conical bar.png

Where ω is the specific weight of the bar material and ds = DE is diameter of elementary strip.

From similarity of ?ABC and DEC,
1403_Determine elongation because of self weight of conical bar1.png 
As a result of this load, elemental length dy elongates by small amount Dy and
612_Determine elongation because of self weight of conical bar2.png 
The total change in length of conical bar because of self weight is worked out by integrating above expression between limits  y = 0 to  y = L
550_Determine elongation because of self weight of conical bar3.png 
Where ρ is mass density of bar material                                                                              

 

Posted Date: 10/23/2012 1:32:12 AM | Location : United States







Related Discussions:- Determine elongation because of self weight of conical bar, Assignment Help, Ask Question on Determine elongation because of self weight of conical bar, Get Answer, Expert's Help, Determine elongation because of self weight of conical bar Discussions

Write discussion on Determine elongation because of self weight of conical bar
Your posts are moderated
Related Questions
Q. Piping Inspection and Test Plan? Piping Inspection and Test Plan review and Piping Materials Test Results review shall be by the Piping Materials group, or by / with assista

The turbine rotor of a ship having a mass of 200Kg moves at 200 r.p.m and its radius of gyration is 0.30 m. If the rotation of the rotor is clockwise looking from the aft., evaluat

Steel Rule: A steel rule is used to measure length. It has two scales - in millimeters and inches. These rules are available in market in discrete lengths such as 15, 30, 60 cms.

Q.   Describe the principle of energy conversion. Show that the reaction of coupling magnetic field on the electrical or mechanical system is essential for the electro - mechanical

Approximate the tension: A copper tube 38 mm external diameter and 35 mm internal diameter is nearly wound with a steel wire of 0.8 mm diameter. Approximate the tension at whi

What is entropy microscopically

for a circle,is the net work necessarily zero? for what kind of system will this be the case?

(a) What are the functions of lubrication system? (b) Define the working of lubrication system used for internal parts of engine. (c) What is chasis lubrication system? Descr

Rockwel l Hardness Test: The specimen is subjected to a major load for about 15 seconds after the initial load. ASTM says 13 scales for testing of wide range of materials. Th

Write an essay on air, water and soil-based heat pumps. Discuss the advantages and the disadvantages of each system. For each system identify the conditions under which that system