Find out bulk modulus, Mechanical Engineering

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

Posted Date: 1/21/2013 2:41:05 AM | Location : United States







Related Discussions:- Find out bulk modulus, Assignment Help, Ask Question on Find out bulk modulus, Get Answer, Expert's Help, Find out bulk modulus Discussions

Write discussion on Find out bulk modulus
Your posts are moderated
Related Questions
What do you mean by centrifugal casting ? How are the centrifugal method classified ?

Ceramics Ceramics are mostly inorganic crystalline materials characterized by high melting point and low ductility. Such materials are processed via methods other than melting

describe about pendulum pump mechanism and diagram

Consider the U-shaped curved beam shown below (with rectangular cross-section and thickness h ), which is loaded by force P as indicated. A free-body diagram reveals that a mome


Need someone to help in doing a connecting rod for an engine by using abaqus software version12 or 6.11?

Multiple Spot Welding This is a modification of spot welding, in which two or more than two welds can be obtained simultaneously from each transformer secondary. For specific pro

DESIGN FACT DATA: ?A) Torque capacity for traction motor of screw conveyor-1660 N-m. ? B) RPM of Traction motor-115 rpm. ? C) Pressure require for operating the telescopi

can u please explain me d concept of 2nd law of thermodynamics. I am not so sure about it ??

A 3-phase, 15-kV, 4-pole, cylindrical rotor synchronous generator is connected to a 50-Hz infinite bus. The synchronous reactance of the machine is X s = 0.6 ohms per phase and th