Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Find out change in length of circular bar of uniform taper
Sol.: The stress at any cross section can be found by dividing load by area of cross section and extension can be found by integrating extensions of small length over whole length of the bar. We shall consider following cases of variable cross section:
Consider circular bar which tapers uniformly from diameter d1 at bigger end to diameter d2 at smaller end, and subjected to axial tensile load P as shown in figure given below.
Let us consider small strip of length dx at distance x from the bigger end.
Diameter of elementary strip:
dx = d1 - [(d1 - d2)x]/L
= d1 - kx; where k = (d1 - d2)/L
The cross sectional area of strip,
Stress in the strip,
Strain in strip
Elongation of strip
The total elongation of tapering bar can be worked out by integrating above expression between limits x = 0 to x = L
BY putting the value of k = (d1 - d2) /l in above expression, we obtain If the bar is of uniform diameter d throughout the length of it, then δL = 4.P.L/(Π.E.d2)
= P.L/[(Πd2/4).E] = P.l/A.E.
design considerations
how to find the equation for deflection of a cantilever beam subjected to udl in terms of Airy''''s stress function
a misile is fired at speed v and an angle m that is inclide at an angle r to the horizontal.calculate the range
Write the velocity relationship in orthogonal cutting. A bar of 75 mm dia. is reduced to 73 mm by a cutting tool while cutting orthogonally. If the mean length of cut chip is 73.5
What are types of raft foundation? Define according to rigid mat deign. One of the common types of raft foundation is the flat concrete slab 0.75 to 2.00 m thick with a two way
Industrial applications of ultrasonics-cleaning, welding, soldering, drilling
If Taylor's tool life constants for a provided operation are specified of n = 0.5 and c = 400, what is the percentage increase in tool life when the cutting speed is reduced by hal
A smooth glass plate is coated with a special electrically conductive film that may be used to produce a constant heat flux on the plate. Estimate the air flow velocity which must
Convert the following readings of pressure to KPa absolute, assuming that the barometer reads 760mm Hg: (a) 100 psig, (b) 8in. Hg vacuum, and (c) 76in Hg gage.
What are the Special Considerations in Planning The dimensions of the foundation should be such that for low-speed machines (operating speed less than 500 rpm) the natural fre
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!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd