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

Assignment Help:

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                                                                              

 


Related Discussions:- Determine elongation because of self weight of conical bar

Equations of static equilibrium, Equations of static equilibrium: In p...

Equations of static equilibrium: In particular, if the forces are parallel and we take z-axis parallel to them, then the first, second and last equations are identically satis

Change in gravitational force, prove that the weight of a body at an elevat...

prove that the weight of a body at an elevation of h from sea level is expressd by the equation

What is wrap-around, The major purpose of a wrap-a-round is to make a strai...

The major purpose of a wrap-a-round is to make a straight line around a pipe to aid in cutting the pipe to its proper length. It is used mainly as a template or a straight edge.

What do you understand by interference, (a) Derive a mathematical expressio...

(a) Derive a mathematical expression for Maximum length of path of Contact, Maximum Length of Arc of Contact and Contact Ratio in case of Interference. (b) What do you understan

Ignition system-electrical system , Ignition System: The ignition system i...

Ignition System: The ignition system is a source and a means of initial spark required to start burning of fuel. A very high voltage supplied at the spark plug tip causes this spa

Railways, RAILWAYS: Railway transport is one of the important modes of...

RAILWAYS: Railway transport is one of the important modes of transport in India. Its technology is based on the traction of a group of wagons or coaches over a fixed track, co

CAMS, COMPARISON WITH CAM MECHANISMS WITH LINKAGES

COMPARISON WITH CAM MECHANISMS WITH LINKAGES

Calculate the angular deflection produced in a solid , Calculate the angula...

Calculate the angular deflection (in degrees) produced in a solid circular shaft of diameter 12.5mm and length 0.5 m when the shear stress is 25MPa and the shear modulus 70GPa. Wha

Erosion-corrosion in sand slurry line, Q. Erosion-Corrosion In Sand Slurry ...

Q. Erosion-Corrosion In Sand Slurry Line? All sands are collected in the Inlet Slug Catcher and routed to the Desand Tank for separation. Sand Slurry lines are subject to erosi

Material Science, What is tetra & octahedral voids & how are they formed ?

What is tetra & octahedral voids & how are they formed ?

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