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

Sizing a Motor that has a cable Pulley, I am stumped as to how to figure th...

I am stumped as to how to figure this out. It is a motor with a cable pulley to move the carriage in a wave tank. (the part that pulls the boat, etc). I have to build it on paper

Define the disadvantages of abrasive jet cutting machines, Define the Disad...

Define the Disadvantages of Abrasive Jet Cutting Machines Slow material removal rate. Stray cutting and hence accuracy is not good. Abrasive powder cannot be reused

What do you mean by shell and tube exchangers, Q. What do you mean by Shell...

Q. What do you mean by Shell and Tube Exchangers? Shell and tube exchanger piping shall be arranged to provide clearance overhead at both bonnet and channel ends. Piping shall

Illustrate brinell hardness tests, Q. Illustrate Brinell hardness tests? ...

Q. Illustrate Brinell hardness tests? Brinell hardness tests of the deposited weld, and heat affected zone shall be required for procedure qualifications of every welding proce

Compute efficiency of dual cycle, (a) Compare 2 two-stroke cycle engines wi...

(a) Compare 2 two-stroke cycle engines with 4 stroke cycle engines. What are the function of flywheel and Cam Shaft? (b) Derive a mathematical expression for efficiency of dual

SFD AND BMD, what is SFD and BMD? EXPLAIN

what is SFD and BMD? EXPLAIN

Explain cutting speed-material removal rate & machining time, Determine- cu...

Determine- cutting speed, Material removal rate and Machining time. A 150 mm long 12.7 mm diameter stainless steel rod is being turned to 12.19 mm diameter on a centre lathe.

Density and specific volume - thermodynamics, DENSIT Y (ρ ): Density ...

DENSIT Y (ρ ): Density is defined as mass per unit volume; Density = mass/ volume; = m/v, kg/m 3 P for Hg = 13.6 × 103  kg/m 3 for water = 1000 kg/m 3 Specifi

Deadlock states, Deadlock States Deadlock is a detrimental phenomenon i...

Deadlock States Deadlock is a detrimental phenomenon in the shop floor; here part flow is inhibited because of unsuitable scheduling decisions made via the computer controller.

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