Find out bulk modulus, Mechanical Engineering

Assignment Help:

Find out bulk modulus:

A steel bar of 25 mm diameter was tested on a gauge length of 250 cm in tension and in torsion. A tensile load of 50 kN generated an extension of 0.13 mm and a torque of 200 N-m produced in twist, Find out :

(a) the modulus of elasticity (b) the modulus of rigidity (c) The Poisson's ratio (d) the bulk modulus

Solution

d = 25 mm = 0.025 m

A = (π/4 ) d 2  = 4.9 × 10- 4 m2

J =  (π /32) d 4  = 3.8 × 10- 8 m4

l = 25 cm = 0.25 m

P = 50 kN = 50 × 103 N

Δ l = 0.13 mm = 0.13 × 10- 3 m

T = 200 N-m

θ = 1o = 0.017 radians

Δ l =  Pl  /A E

 0.13 × 10- 3 = (50 × 10 × 0.15)/ (4.9 × 10- 4 × E)

∴          E = 2 × 1011 N/m2 = 2 × 105 N/mm2

                  T/ J = G θ/ l

200 / (3.8 × 10- 8 = (G × 0.017 )/ 0.25

G = 0.77 × 1011 N/m2  = 0.8 × 105 N/mm2

E = 2G (1 + μ)

⇒         2 × 105  =2 × 0.8 × 105 (1 + μ)

∴          μ= 0.25

E = 3K (1 - 2μ)

2 × 105  = 3 × K (1 - 2 × 0.25)

K = 1.33 × 105 N/mm2


Related Discussions:- Find out bulk modulus

Gdfgfgaf, dgdsgsfd sfdsvdsfsdf dsfsdgsgdsfsada sfdsfdsvsdfsd sgghdfgsgfa

dgdsgsfd sfdsvdsfsdf dsfsdgsgdsfsada sfdsfdsvsdfsd sgghdfgsgfa

Determine sliding velocity, a) A pair of 20 degree full depth involute spur...

a) A pair of 20 degree full depth involute spur gears having 30 and 50 teeth respectively of module 4mm are in mesh. The smaller gear rotates at 1000 rpm. Determine- 1) Contact

Explain about master stick file, Q. Explain about Master Stick File? Th...

Q. Explain about Master Stick File? The Master Stick File is an up-to-date version of the P&IDs; it is not to be used as a check print by any discipline. Miscellaneous comment

Calculate the spindle speed in milling operation, Calculate the Spindle Spe...

Calculate the Spindle Speed in Milling Operation Calculate the spindle speed (N) if a copper job is to be milled by  (a) stellite cutter  (b) cemented carbide cutter.

Find out the velocity of the chain, Find out the velocity of the chain: ...

Find out the velocity of the chain: Figure shows a metal chain ABC where portion BC is of length 0.4 metres and is hanging vertically, & portion AB of length 0.8 metres rests

., what is fluid?

what is fluid?

Describe the basic procedure for design, (a) Describe the basic procedure f...

(a) Describe the basic procedure for mechanical engg. design. (b) What is the relationship between the functional requirement and appearance of product?

Explain the adjustable auger mechanisms, Normal 0 false false...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

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