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

Manufacturing engineering-2, Enumerate the essential features of a milling ...

Enumerate the essential features of a milling fixture

Shear force and bending moment, question no 2,page no 84 of strenght of mat...

question no 2,page no 84 of strenght of materials by G H Ryder

Explain the conventional frame, Show schematic diagram showing the layout o...

Show schematic diagram showing the layout of transmission system of four-wheel driven car. Explain briefly the following types of frame: (a) Conventional frame (b) Integra

Scope of work for a project in mechanical engineering, Q. Scope of work for...

Q. Scope of work for a project in Mechanical Engineering? The Mechanical Engineering scope of work for a project involves the design and specification of mechanical equipment a

Vibration, On the Moodle site just below the assignment you will find data ...

On the Moodle site just below the assignment you will find data from a slow sine sweep test conducted on a car on a "four-post" road simulator for the frequency range 0 to 20 Hz in

Determine fraction of the load would cnt fibers carry, Carbon nanotubes (CN...

Carbon nanotubes (CNTs) with low weight (density = 1.3 g/ cm^3), high tensile strength (50 GPa), and modulus of elasticity (1 TPa) in the axial direction have been touted as the st

Ease of operation-factors in clutch design , Ease of Operation : For highe...

Ease of Operation : For higher power transmissions, the operation of disengaging the clutch must not be tiresome to the driver.

Engine keeps on running after ignition is switched off, If Engine Keeps on ...

If Engine Keeps on Running after Ignition is Switched Off Causes of Problem Remedy Pre-ignition due to very hot spark plug used

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